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Mathematics, Logic & Applied Mathematics - Mathématiques - Matematica

SIMPLE CONTENTS

NEWS & UPDATES
MAPS
OVERVIEW
HISTORY
AREAS
EDUCATION
LANGUAGE
FOUNDATIONS
LOGIC
SETS, RELATIONS, STRUCTURES
NUMBERS
ALGEBRA
GEOMETRY
TRIGONOMETRY
ANALYSIS
TOPOLOGY
COMBINATORICS
PROBABILITIES
STATISTICS
APPLIED MATHEMATICS
REFERENCES

TOC
DETAILED CONTENTS

NEWS & UPDATES
MAPS
OVERVIEW

HISTORY

AREAS

EDUCATION

LANGUAGE

FOUNDATIONS

LOGIC

SETS, RELATIONS, STRUCTURES
EQUIVALENCE, ORDER, ALGEBRAIC, TOPOLOGICAL...
SPACES (VECTOR, EUCLIDEAN, AFFINE, PROJECTIVE...)
MEASURE, METRIC (DISTANCE)

NUMBERS

ALGEBRA
LINEAR ALGEBRA
POLYNOMIALS & EQUATIONS
GROUP THEORY
RINGS & FIELDS
MODULES & VECTOR SPACES
LINEAR MAPS, MATRICES & DETERMINANTS
GALOIS THEORY

GEOMETRY
TRIGONOMETRY
ANALYTICAL GEOMETRY

ANALYSIS
REAL ANALYSIS
DIFFERENTIAL & INTEGRAL CALCULUS
COMPLEX ANALYSIS

TOPOLOGY

COMBINATORICS
PROBABILITIES
STATISTICS

APPLIED MATHEMATICS
MECHANICS
ELECTROMAGNETISM
ATOMISTIC
COSMOLOGY
CHEMISTRY
THEORETICAL COMPUTING
SOCIAL SCIENCES
ENGINEERING

REFERENCES

TOC
MAPS

TOC
OVERVIEW

(Caratini Tout en 1) V1 PDF
(Caratini Collection, Sommaire détaillé) V1 PDF
(Caratini Encyclopédie, Sommaire) V1 JPG
(Caratini Panorama, Sommaire Détaillé) V1 JPG
(Isoz, Contents & Chapter 3 Introduction) V1 PDF
(Walusinski Base Term, Sommaire détaillé & "Faire des Maths") V1 PDF
(Kahn Col CNED, Sommaire détaillé) V1 PDF
(Caratini Panorama, Sommaire Détaillé & Intro) V1 PDF

METHODS
VOCABULARY
SCIENCE & FAITH
SCIENTIFIC COMMUNICATION BACKFIRE

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HISTORY

(Caratini Collection, Histoire des maths) V1 PDF

TOC
AREAS

(Reinhardt Atlas différents domaines) V1 PDF

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FOUNDATIONS

Category theory - Information theory - Mathematical logic - Philosophy of mathematics - Set theory - Type theory

MATHEMATICAL LOGIC
Peano axioms - Mathematical induction - Formal system -  Axiomatic system - Hilbert system - Natural deduction - Mathematical proof - Model theory --Mathematical constructivism - Modal logic - List of mathematical logic topics

SET THEORY
Set - Naive set theory - Axiomatic set theory - Zermelo set theory - Zermelo–Fraenkel set theory - Constructive set theory - Descriptive set theory - Determinacy - Russell's paradox - List of set theory topics

TYPE THEORY
Axiom of reducibility - Simple type theory - Dependent type theory - Intuitionistic type theory  - Homotopy type theory - Univalent foundations - Girard's paradox

CATEGORY THEORY
Category - Topos theory - Category of sets - Higher category theory - ∞-groupoid - ∞-topos theory - Mathematical structuralism - Glossary of category theory - List of category theory topics

METALOGIC & METAMATHEMATICS
Cantor's theorem - Entscheidungsproblem - Church–Turing thesis - Consistency - Effective method - Foundations of mathematics (of geometry) - Gödel's completeness theorem - Gödel's incompleteness theorems - Soundness - Completeness - Decidability - Interpretation - Löwenheim–Skolem theorem- Metatheorem - Satisfiability- Independence - Type–token distinction - Use–mention distinction

(Wikipedia Fr Fondements) V1 PDF

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LOGIC

(Isoz, Proof Theory) V1 PDF

GENERAL
Axiom (list) - Cardinality - First-order logic -  Formal proof - Formal semantics - Foundations of mathematics - Information theory - Lemma - Logical consequence - Model - Theorem - Theory - Type theory

THEOREMS (LIST) & PARADOXES
Gödel's completeness and incompleteness theorems - Tarski's undefinability - Banach–Tarski paradox - Cantor's theorem, paradox and diagonal argument - Compactness - Halting problem -  Lindström's - Löwenheim–Skolem - Russell's paradox

TRADITIONAL
Classical logic - Logical truth - Tautology - Proposition- Inference - Logical equivalence - Consistency - Equiconsistency - Argument - Soundness - Validity - Syllogism - Square of opposition - Venn diagram

PROPOSITIONAL
Boolean algebra - Boolean functions - Logical connectives - Propositional calculus - Propositional formula - Truth tables- Many-valued logic 3 finite ∞

PREDICATE
First-order list - Second-order Monadic - Higher-order - Fixed-point - Free Quantifiers - Predicate - Monadic predicate calculus

FORMAL SYSTEMS (LIST), LANGUAGE AND SYNTAX

PROOF THEORY

MODEL THEORY

COMPUTABILITY THEORY

FOUNDATIONS CRISIS
PARADOXES
Hypothetical-Deductive Reasoning
PROPOSITIONAL CALCULUS
Propositions (premises)
Connectors
Decision procedures
Quantifiers
PREDICATE CALCULUS
Grammar
Languages
PROOFS
Rules of Proofs

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SETS, RELATIONS & STRUCTURES

(Caratini Collection, Généralités sur Ensembles Arithmétique Nombres Algèbre) V1 PDF
(Caratini Collection, Théorie des Ensembles) V1 PDF
(Souriac, Notions Fondamentales) V1 PDF
(Isoz, Set Theory) V1 PDF
(Caratini Panorama, AnnexeTheorie des ensembles & Algèbre des Structures) V1 PDF
(Caratini Collection, Algèbre des Structures) V1 PDF
(Caratini Panorama, 3 Algèbres - Notion de Sructure - Théorie des groupes - Analyse Histoire ) V1 PDF
(Bouvier Théorie Ensembles Sommaire) V1 JPG
(Bouvier Théorie Ensembles QSJ) V1 PDF

SET THEORY

OVERVIEW
Cardinals
Cartesian Product
Intervals
Set hereditary - Class(Ur-) - Element - Ordinal number - Extensionality - Forcing - Relation equivalence partition - Set operations: intersection union complement - Cartesian product power set identities

AXIOMS
Adjunction - Choice (countable dependent global) - Constructibility (V=L) - Determinacy - Extensionality - Infinity - Limitation of size - Pairing - Power set - Regularity - Union - Martin's axiom
Axiom schema (replacement specification)

OPERATIONS
Cartesian product - Complement (i.e. set difference) - De Morgan's laws - Disjoint union - Identities - Intersection - Power set - Symmetric difference - Union
Inclusion
Intersection
Union
Difference
Symmetric Difference
Product
Complementarity

CONCEPTS - METHODS
Almost - Cardinality - Cardinal number (large) - Class - Constructible universe - Continuum hypothesis - Diagonal argument - Element ordered pairtuple - Family - Forcing - One-to-one correspondence - Ordinal number - Set-builder notation - Transfinite induction -Venn diagram

SET TYPES
Countable - Uncountable - Empty - Inhabited - Singleton - Finite - Infinite - Transitive - Ultrafilter- Recursive - Fuzzy- Universal - Universe constructible -Grothendieck -Von Neumann
Amorphous - Countable-- Empty - Finite (hereditarily) - Filter basesubbase - Ultrafilter - Fuzzy - Infinite (Dedekind-infinite) - Recursive - Singleton - Subset · Superset  - Transitive - Uncountable - Universal

MAPS & CARDINALITY
Function / Map domain codomain image In/Sur/Bi-jection - Schröder–Bernstein theorem - Isomorphism - Gödel numbering - Enumeration - Large cardinal inaccessible -Aleph number - Operation binary

THEORIES
Zermelo–Fraenkel axiom of choice continuum hypothesis - General - Kripke–Platek -Morse–Kelley -Naive - New Foundations- Tarski–Grothendieck - Von Neumann–Bernays–Gödel- Ackermann - Constructive
Alternative - Axiomatic - Naive - Cantor's theorem
Zermelo (General) - Principia Mathematica (New Foundations) - Zermelo-Fraenkel (von Neumann–Bernays–Gödel (Morse–Kelley)- Kripke–PlatekTarski–Grothendieck)

PARADOXES - PROBLEMS
Russell's paradox - Suslin's problem - Burali-Forti paradox

SET THEORISTS
Paul Bernays - Georg Cantor - Paul Cohen - Richard Dedekind - Abraham Fraenkel - Kurt Gödel - Thomas Jech - John von Neumann - Willard Quine - Bertrand Russell -Thoralf Skolem - Ernst Zermelo

RELATIONS
BINARY RELATION
EQUIVALENCE RELATION
ORDER RELATION

FUNCTIONS, APPLICATIONS

STRUCTURES

MORPHISMS

ALGEBRAIC STRUCTURES
COMMON AXIOMS
EQUATIONAL AXIOMS
Commutativity
Associativity
Left distributivity
Right distributivity
Distributivity
EXISTENTIAL AXIOMS
Identity element
Inverse element
NON-EQUATIONAL AXIOMS

GROUP-LIKE STRUCTURES
MAGMA
MONOID & GROUP
ABELIAN GROUP

RING-LIKE STRUCTURES
RING
DIVISION RING
COMMUTATIVE RING
FIELD

LATTICE-LIKE STRUCTURES
COMPLETE LATTICE
BOUNDED LATTICE
DISTRIBUTIVE LATTICE
BOOLEAN ALGEBRA

MODULE-LIKE STRUCTURES
VECTOR SPACE
ALGEBRA OVER A FIELD
INNER PRODUCT SPACE
AFFINE SPACE
EUCLIDEAN SPACE

ALGEBRA-LIKE STRUCTURES

NON-ALGEBRAIC STRUCTURES
ORDER
TOPOLOGICAL
MEASURE
METRIC
GEOMETRY
DIFFERENTIAL
UNIFORM
EVENT
UNIVERSAL ALGEBRA
CATEGORY

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NUMBERS

(Isoz) V1 PDF
(Caratini Collection, Arithmétique & Théorie des Nombres) V1 PDF
(Caratini Collection, Annexe Arithmétique élémentaire et Calcul algébrique classique) V1 PDF
(Caratini Collection, Annexe Arithmétique élémentaire : Numération, Calcul sur nbs entiers, PGCD PPCM Caractères de divisibilité)
(Caratini Collection, Annexe Fractions et Rapports : Calcul sur fractions, Rapports et proportions )
(Caratini Collection, Annexe Calcul algébrique élémentaire : Nbs relatifs, Opérations sur, Généralités, Polynomes, Fractions rationnelles)
(Caratini Collection, Nombres Réels et Nombres Complexes) V1 PDF

OVERVIEW
DIGITAL BASES
IRRATIONAL NUMBERS
TRANSFINITE NUMBERS
QUATERNION NUMBERS
ALGEBRAIC & TRANSCENDENTAL NUMBERS
UNIVERSE NUMBERS (NORMAL NUMBERS)
ABSTRACT NUMBERS (VARIABLES)

NATURAL INTEGER NUMBERS

(Souriac, N, dénombrements) V1 PDF

RELATIVE INTEGER NUMBERS

(Souriac, Z diviseurs multiples congruences numération ) V1 PDF

RATIONAL NUMBERS

(Souriac, Q intro à R) V1 PDF

REAL NUMBERS

(Souriac, R calculs approchés) V1 PDF

COMPLEX NUMBERS

(Souriac, C images géom) V1 PDF

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ARITHMETIC OPERATORS

(Isoz) V1 PDF

BINARY RELATIONS
Equalities
Comparators
FUNDAMENTAL ARITHMETIC LAWS
Addition
Subtraction
Multiplication
Division
ARITHMETIC POLYNOMIALS
ABSOLUTE VALUE
CALCULATION RULES (OPERATORS PRIORITIES)

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NUMBER THEORY

(Isoz) V1 PDF

PRINCIPLE OF GOOD ORDER
INDUCTION PRINCIPLE
DIVISIBILITY
Euclidean Division
Euclidean Algorithm
Least Common Multiple
Fundamental Theorem of Arithmetic
Congruences (modular arithmetic)
Continued fraction

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ALGEBRA

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LINEAR ALGEBRA

(Caratini Collection, Algèbre Linéaire) V1 PDF

LINEAR SYSTEMS
LINEAR TRANSFORMATIONS
MATRICES
Rank of a matrix
Matrix Algebra
Type of Matrices
Determinant
CHANGE OF BASIS (FRAMES)
EIGENVALUES AND EIGENVECTORS
Rotation Matrices and Eigenvalues
SPECTRAL THEOREM
MATRIX DECOMPOSITIONS
Singular Value Decomposition (SVD)
LU Decomposition
Cholesky’s Decomposition
QR Decomposition

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SET ALGEBRA

GROUPS ALGEBRA & GEOMETRY
Cyclic Groups
Transformations Groups
Group of Symetries
Permutations Groups
GALOIS THEORY
Elementary symmetric and Invariant Polynomials
General Vieta’s formulas

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POLYNOMIALS & EQUATIONS - CALCULUS

(Caratini Collection, Polynomes & Théorie des Equations) V1 PDF

EQUATIONS & INEQUATIONS
Equations
Inequations
REMARKABLE IDENTITIES
POLYNOMIALS
Euclidean Division of Polynomials
Factorization Theorem of Polynomials
Diophantine equation
First order univariate Polynomial and Equations
Solving by circular reference
Second order univariate Polynomial and Equations
Irrational Equations
Golden Ratio
Third order univariate Polynomial and Equations
Fourth order univariate Polynomial and Equations
Trigonometric Polynomials
Cyclotomic Polynomials
Legendre Polynomials

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VECTOR CALCULUS

CONCEPT OF ARROW
SET OF VECTORS
Pseudo-Vectors
Normal vector
Multiplication by a scalar .
VECTOR SPACES
Linear Combinations
Sub-vector spaces
Generating families
Linear Dependence or Independence
Base of a vectorial space
Direction Angles
Dimensions of a vector space
Extension of a free family
Rank of a finite family
Direct Sums
Affine spaces
EUCLIDEAN VECTOR SPACES
Scalar Product (Dot Product)
Cross Product
Mixed Product (triple product)
VECTORIAL FUNCTIONAL SPACE
HERMITIAN VECTOR SPACE
Hermitian Inner Product
Types of Vectors Spaces
SYSTEM OF COORDINATES
Cartesian (rectangular) Coordinate System
Spherical Coordinate System
Cylindrical Coordinate System
Polar Coordinate System
DIFFERENTIAL OPERATORS
Gradients of Scalar Field
Gradients of Vector Field
Divergences of a Vector Field
Rotationals of a Vector Field (Curl)
Laplacians of Scalar Fields (Laplace Operator)
Laplacians of Vector Fields
Remarkable Identities
Summary

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TENSOR CALCULUS

TENSOR
INDICIAL NOTATION
Summation on multiple index
Kronecker Symbol
Antisymmetric Symbol (Levi-Civita symbol)
METRIC AND SIGNATURE
GRAM’S DETERMINANT
CONTRAVARIANT AND COVARIANT COMPONENTS
OPERATION IN BASIS
Gram-Schmidt Orthogonalization Method
Change of Basis
Reciprocal Basis (Dual Basis)
EUCLIDEAN TENSORS (CARTESIAN TENSOR)
Fundamental Tensor
Tensor product (dyadic) of two vectors and matrices
Tensor Spaces
Linear combination of tensors
Contraction of indices
SPECIAL TENSORS
Symmetric Tensor
Antisymmetric Tensor
Fundamental Tensor
CURVILINEAR COORDINATES
Natural basis in spherical coordinates (curvilinear basis in spherical coordinates)
Natural basis in polar coordinates (curvilinear basis in polar coordinates)
Natural basis in cylindrical coordinates (cylindrical basis in polar coordinates)
CHRISTOFFEL SYMBOLS
RICCI THEOREM
RIEMANN-CHRISTOFFEL SYMBOLS
RICCI CURVATURE (RICCI TENSOR)
EINSTEIN TENSOR

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SPINOR CALCULUS

UNIT SPINOR
GEOMETRIC PROPERTIES
Plane Symmetries 
Rotations 
Properties of Pauli Matrices

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GEOMETRY

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TRIGONOMETRY

(Souriac) V1 PDF

RADIAN
CIRCLE TRIGONOMETRY
Remarkable trigonometric triangle identities
HYPERBOLIC TRIGONOMETRY
Remarkable hyperbolic identities
SPHERICAL TRIGONOMETRY
SOLID ANGLE

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EUCLIDEAN GEOMETRY

OBJECTS OF EUCLIDEAN GEOMETRY
Dimensions
EUCLID’S CONSTRUCTIONS
Segments and Lines
PLANE GEOMETRY
Displacements and Turnarounds
Plane angles
Triangles
Parallelism
Circle
HILBERT’S AXIOMS
Incidence Axioms (axioms of association)
Order Axioms
Congruence Axioms
Continuity Axioms
Parellels Axioms
BARYCENTER (CENTROID)
GEOMETRIC TRANSFORMATIONS
Translation
Homothety (scaling)
Shear (skew) transformation
Rotation
Reflection

TOC

NON-EUCLIDEAN GEOMETRY
CURVATURE(S)
AXIOMS OF NON-EUCLIDEAN GEOMETRY
GEODESIC AND METRIC EQUATION
RIEMANN SPACES

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PROJECTIVE GEOMETRY

CONICAL PERSPECTIVE (CENTRAL PERSPECTIVE)
Images of Points
Images of Straight Lines
AFFINE PROJECTIONS
Isometric perspective
Oblique perspective
Orthogonal projection
SPHERICAL PROJECTIONS
Stereographic projection
Cylindrical projection
Mercator projection
Lambert’s equivalent projection (Peters projection)
OTHER PERSPECTIVES
HOMOGENEOUS COORDINATES (PROJECTION COORDINATES)
P2 Projective Space
P3 Projective Space

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ANALYTICAL GEOMETRY

CONICS
Algebraic approach
Geometric Approach
Dudelin Theorem (Dudelin Spheres)
Classification of conical by the determinant
PARAMETRIZATIONS
Equation of the Plane
Equation of the Straight line
Equation of a Square
Equation of a Cycloid
Equation of an Epicycloid
Equation of an Hypocycloid
Surface of revolution

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DIFFERENTIAL GEOMETRY

PARAMETRIC CURVES
ISOLINES
FRENET FRAME
SURFACE PATCHS
Metric of a Surface Patch

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GEOMETRIC SHAPES

USUAL SURFACES (AREAS)
Polygons
Rectangle
Square
Unspecified Triangle
Isosceles Triangle
Equilateral Triangle
Right Triangle
Trapezoid
Parallelogram
Hexagon
Rhombus
Circle
Ellipse
USUAL VOLUMES
Polyhedron
Usual Solids of Revolution

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GRAPH THEORY

Type of Graphs and Structures
Graph Adjacency Matrix
Categories

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KNOT THEORY

Braids Representation
Braids Group
Knot Representation
Knots Group
Tait’s Knot
Mathematical Formalisation
Planar Representation

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ANALYSIS

(Souriac, fonction cont lim) V1 PDF
(Souriac, der) V1 PDF
(Souriac, suites int log etc) V1 PDF
(Caratini Panorama, Analyse sauf Annexe - Intro) V1 PDF

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FUNCTIONAL ANALYSIS

(Isoz) V1 PDF

REPRESENTATIONS
Tabular Representation
Graphical Representation
Analytical Representation
FUNCTIONS
Limits and Continuity of Functions
Asymptotes
Concavity/Convexity of a function
LOGARITHMS
CONVOLUTIONS
Continuous and Discrete Linear Convolution Product
Matrix Convolution
INTEGRAL TRANSFORMS
Fourier Transform
Laplace Transform
Z-Transform
Hilbert Transform
FUNCTIONAL DOT PRODUCT (INNER PRODUCT)
Cauchy-Schwarz inequality for integrals

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DIFFERENTIAL & INTEGRAL CALCULUS

DIFFERENTIAL CALCULUS
Differentials
Usual Derivatives
Implicit Differentiation
Smoothness

INTEGRAL CALCULUS
Definite Integral
Indefinite Integral
Double Integral
Integration by Substitution
Integration by Parts
Usual Primitives
Integral representation of first kind Bessel’s function
Dirac Function
Gamma Euler Function
Curvilinear Integrals
Integrals involving parametric equations
Improper Integrals
Elliptic Integrals

DIFFERENTIAL EQUATIONS
First order differential equations
Linear differential equations
Resolution methods of differential equations
Classification of partial differential equations

SYSTEMS OF DIFFERENTIAL EQUATIONS

REGULAR METHODS OF PERTURBATIONS
Perturbation theory for algebraic equations
Perturbation theory of differential equations

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SEQUENCES & SERIES

SEQUENCES
Arithmetic Sequences
Harmonic Sequences
Geometric Sequences
Cauchy Sequence
Fibonacci Sequence
Logic Sequences/Psychologist Sequences

SERIES
Gauss Series
Arithmetic Series
Geometric Series
Telescoping Series
Grandi’s Series
Taylor and Maclaurin Series
Fourier Series (trigonometric series)
Bessel Series

CONVERGENCE CRITERIA
Integral Test
D’Alembert Rule
Alternating Series Test
Fixed Point Theorem

GENERATING FUNCTIONS (TRANSFORMATION OF A SEQUENCE INTO A SERIES)
Ordinary Generating Functions (transformation of a sequence into a series)
Multivariate Generating Functions
Functional Generating Functions

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COMPLEX ANALYSIS

LINEAR APPLICATIONS

HOLOMORPHIC FUNCTIONS
Orthogonality of real and imaginary iso-curves

COMPLEX LOGARITHM

COMPLEX INTEGRAL CALCULUS
Convergence of a complex series

PATH DECOMPOSITION
Inverse Path

LAURENT SERIES

SINGULARITIES

RESIDUE THEOREM
Pole at infinity

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TOPOLOGY

GENERAL TOPOLOGY
Topological Spaces

METRIC SPACE AND DISTANCE
Equivalent Distances
Lipschitz Functions
Continuity and Uniform Continuity

OPENED AND CLOSED SET
Balls
Partititions
Formal Ball
Diameter

VARIETIES
Subvariety
Surfaces Homeomorphism
Differential Varieties

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MEASURE THEORY

MEASURABLE SPACES
Monotone Classes

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COMBINATORICS - COMBINATORIAL ANALYSIS

(Souriac) V1 PDF
(Caratini Collection, Analyse Combinatoire) V1 PDF

Simple Arrangements with Repetitions
Simple Permutations without Repetitions
Simple Permutations with Repetitions
Simple Arrangements without Repetitions
Simple Combinations without Repetitions
Simple Combinations with Repetitions

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PROBABILITIES

(Souriac) V1 PDF
(Caratini Collection Histoire et Notions) V1 PDF

EVENT UNIVERSE
Infinite monkey theorem
Do probabilities refute complex structures?

KOLMOGOROV’S AXIOMS

CONDITIONAL PROBABILITIES
Conditional Expectation and Variance
Bayesian Networks

MARTINGALES
Gambling

MARKOV CHAINS

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STATISTICS

SAMPLES

AVERAGES
Laplace Smoothing
Means and Averages properties

TYPE OF VARIABLES
Discrete Variables and Moments
Continuous Variables and Moments

FUNDAMENTAL POSTULATE OF STATISTICS

DIVERSITY INDEX

DISTRIBUTION FUNCTIONS (PROBABILITIES LAWS)
Discrete Uniform Distribution
Bernoulli Distribution
Geometric Distribution
Binomial Distribution
Negative Binomial Distribution
Hypergeometric Distribution
Multinomial Distribution
Poisson Distribution
Normal & Gauss-Laplace Distribution
Log-Normal Distribution
Continuous Uniform Distribution
Triangular Distribution
Pareto Distribution
Exponential Distribution
Cauchy Distribution
Beta Distribution
Gamma Distribution
Chi-Square (Pearson) Distribution
Student Distribution
Fisher Distribution
General Folded Normal Distribution
Laplace Distribution
Benford Distribution

LIKELIHOOD ESTIMATORS
Normal Distribution MLE
Poisson Distribution MLE
Binomial Distribution MLE
Geometric Distribution MLE
Weibull Distribution MLE
Gamma Distribution MLE
Pareto Distribution MLE
Censored data MLE
Fisher Information Matrix

FINITE POPULATION CORRECTION FACTOR

CONFIDENCE INTERVALS (INFERENCE)
Frequentist Inference
Bayesian Inference

WEAK LAW OF LARGE NUMBERS

CHARACTERISTIC FUNCTION

CENTRAL LIMIT THEOREM

UNIVARIATE HYPOTHESIS AND ADEQUATION TESTS (NHST)
Direction of hypothesis test and p-values
Fisher’s method for multiple p-values
Power of a test
Power of the one sample Z-test
Power of the one and two samples P-test
A/B tests
Analysis Of VAriance (ANOVA)
Equivalence tests
Cochran C test
Adequation Tests (Goodness of Fit tests)
Kernel density estimation
Likelihood-ratio tests
Robustness and Nonparametric Statistics;
Rank Statistics
Range Statistics
Extreme Value Theory

MULTIVARIATE STATISTICS
Principal Component Analysis
Correspondence Factorial Analysis (AFC)
Chi-2 Test of Independence
Cramér’s V
Pearson’s phi coefficient
Exact Fisher’s Test
Cohen’s kappa agreement
McNemar’s test

SURVIVAL STATISTICS
Kaplan-Meier Survival Rate
Cochran–Mantel–Haenszel tests
Cox (Proportional Hazard) Model
Propagation of Errors (experimental uncertainty analysis) ;
Absolute and Relative Uncertainties (direct calculation of bias)
Statistical Errors
Repeatability
Error propagation (linearized approximation)
Error propagation (statistical approach)
Significant Numbers
Spatial statistics;
2D Poisson’s spatial distance model

SURVEYS
Survey designs
Survey Sampling Error and Non-Sampling Error

A WORLD WITHOUT STATISTICS
Data fallacies

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APPLIED MATHEMATICS

TOC
MECHANICS

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PRINCIPIA

SYSTEM OF UNITS
Dimensional Analysis
Scientific Notation and Metric Prefixes
Scales of Measurements

DISTRIBUTIONS

CONSTANTS
Mathematical Constants
Universal Constants (fundamental constants)
Astronomical/Astrophysical parameters and constants
Chemical parameters
Material parameters
Planck’s constants

PRINCIPLES OF PHYSICS
Principle of Causality
Principle of Conservation of Energy
Principle of Least Action
Noether’s Principle (Noether’s theorem)
Curie’s Principle

POINT SPACES 

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ANALYTICAL / LAGRANGIAN MECHANICS

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CLASSICAL MECHANICS

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WAVE MECHANICS

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STATISTICAL MECHANICS

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THERMODYNAMICS

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CONTINUUM MECHANICS

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ELECTROMAGNETISM

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ELECTROSTATICS

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MAGNETOSTATICS

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ELECTRODYNAMICS

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ELECTROKINETICS

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OPTICS (RAY OPTICS)

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WAVE OPTICS

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ATOMISTIC

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CORPUSCULAR QUANTUM PHYSICS

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WAVE QUANTUM PHYSICS

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RELATIVISTIC QUANTUM PHYSICS

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NUCLEAR PHYSICS

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QUANTUM FIELD THEORY

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ELEMENTARY PARTICLE PHYSICS

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COSMOLOGY

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ASTRONOMY (CELESTIAL MECHANICS)

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ASTROPHYSICS

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SPECIAL RELATIVITY

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GENERAL RELATIVITY

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COSMOGONY

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QUANTUM GRAVITY

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STRING THEORY

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CHEMISTRY

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QUANTUM CHEMISTRY

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MOLECULAR CHEMISTRY

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ANALYTICAL CHEMISTRY

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THERMOCHEMISTRY

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THEORETICAL COMPUTING

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NUMERICAL METHODS/ANALYSIS

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FRACTALS

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LOGICAL SYSTEMS

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ERROR-CORRECTING CODES

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AUTOMATA THEORY

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CRYPTOGRAPHY

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QUANTUM COMPUTING

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SOCIAL SCIENCES

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POPULATION DYNAMICS

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GAME AND DECISION THEORY

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ECONOMY

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QUANTITATIVE MANAGEMENT

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MUSIC MATHEMATICS (PHYSICS OF HEARING)

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ENGINEERING

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MARINE & WEATHER ENGINEERING

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MECHANICAL ENGINEERING

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ELECTRICAL ENGINEERING

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CIVIL ENGINEERING

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AEROSPACE ENGINEERING

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SOFTWARE ENGINEERING

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INDUSTRIAL ENGINEERING

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REFERENCES

SIMPLE CONTENTS :
DIDACTIC
HISTORY
EDUCATION
LANGUAGE
LOGIC
SETS
RELATIONS & STRUCTURES
NUMBERS

REF
DIDACTIC - GÉNÉRALITÉS - COURS

Caratini. Tout en 1. Mathématiques. 1994.
[ Download ] [ Read ]

Caratini. Encyclopédie. Mathématiques. 1972.

Caratini. Collection. Mathématiques. 1985.
[ View - Download - Backup ]

Caratini. Panorama Sciences. Mathématiques. 1993.

Geller. Mathématiques Abrégé. 1988. [ Cf Biostatistics ]

Geller. Statistique Abrégé. 1983. [ Cf Biostatistics ]

Souriac. MemoMath Bac Premières années de Faculté. 1977.
[ Download - Backup ] [ Cf aussi du meme auteur le MemoMeca en physique ! ]

Walusinski. Les bases des Maths en classes terminales. 1976.
[ Download - Backup ]

Kahn. Collection de Mathématiques du CNED. 1995. [ Bac + 2 ]

Corne et al. ABC du BAC Mathématiques. 1983.

Bouvier. Théorie des Ensembles. 3e. 1982.
[ 128 pages ] [ Download ]

Bodin. Exo7 Cours et exercices de mathématiques.
[ arnbod.github.io ] [ exo7.emath.fr ] [ youtube.com/@Exo7Math ]

Reinhardt. Atlas des Mathématiques. 1997.
[ Commentaire ] [ Commentaire Archive ] [ Download JPG ] [ Download PDF ]

Isoz. Opera Magistris. Compendium of Elementary Applied Mathematics for Engineers (EAME). 4e. 2024. - 3e. 2018.
[ 9014 pages ] [ sciences.ch ]

Glaeser. Mathématiques pour l'élève-professeur. 2e. 1973.
[ Download ] [ Idées précieuses ! ]

https://www.ukonline.be/cours/math/basehigher-summary

https://fr.wikibooks.org/wiki/Wikilivres:CDU/5/51

Hadamard. Essai sur la psychologie de l'invention dans le domaine mathématique. 1975.
[ Download Français ] [ Read Français ]

Hadamard. An Essay on the Psychology of Invention in the Mathematical Field. 1954.
[ Download English ] [ Download English ] [ Read English ]

Soyeur.
Cours de Mathématiques Sup MPSI PCSI PTSI TSI
http://les.mathematiques.free.fr/pdf/livre.pdf 
[ référence utile couvrant toutes les mathématiques de première année ]
http://asoyeur.free.fr/
https://ressources.unisciel.fr/sillages/mathematiques/cours_1a_mpsi_pcsi_ptsi_tsi/livre.pdf

Perret.
https://www.vive-les-maths.net/

Monka.
http://www.maths-et-tiques.fr/

Pujo.
http://math.univ-lyon1.fr/~pujo/
http://math.univ-lyon1.fr/~pujo/PASSMaths.html
http://math.univ-lyon1.fr/~pujo/fondmath1.pdf

Poirier
http://spoirier.lautre.net
http://settheory.net/
https://www.reddit.com/r/math/comments/15b3olx/is_anyone_familiar_with_this_websitebased/
(Poirier Premiers fondemenents brouillon) V1 PDF

Bailly-Maitre.
https://www.youtube.com/@MathsAdultes

Pianeta.
https://www.dimitripianeta.fr/cours/mathematiques.html
Et informatique !

UNSORTED DIDACTIC

https://www.sesamath.net/

http://villemin.gerard.free.fr/Referenc/Debutant/DebTdM.htm

https://pi.ac3j.fr/livres-de-mathematiques/

REF
OVERVIEW

https://en.wikipedia.org/wiki/Mathematics

https://en.wikipedia.org/wiki/Lists_of_mathematics_topics

https://en.wikipedia.org/wiki/Wikipedia:Contents/Mathematics_and_logic

https://kevinbinz.com/quantitative/

http://serge.mehl.free.fr/

https://www.amazon.fr/Lunivers-math%C3%A9matique-Philip-J-Davis/dp/2040155880

https://statanalytica.com/blog/best-math-books/

REF
NEWS

REF
CLASSIFICATION

https://zbmath.org/classification/

https://zbmath.org/static/msc2020.pdf

REF
EDUCATION - ENSEIGNEMENT

https://fr.wikipedia.org/wiki/Difficultés_en_mathématiques

https://mathvault.ca/

https://alibalilab.wiscweb.wisc.edu/wp-content/uploads/sites/371/2018/02/AlibaliNathan2012.pdf

https://fac.umc.edu.dz/fse/assets/img/Universit%C3%A9%20Fr%C3%A8res%20Mentouri%20Constantine%201.pdf

https://fac.umc.edu.dz/fse/assets/img/DDM-M1-%20%202015-2016.pdf

https://web.archive.org/web/20150219032809/http://welles.dm.unibo.it/rsddm/it/articoli/damore/395%20concettualizazione%20registri%20noetica.pdf

Base de ressources pour l'enseignement des mathématiques
https://www.univ-irem.fr/

REF
ENCYCLOPEDIAS

https://encyclopediaofmath.org/wiki/Main_Page

https://archive.org/details/CrcEncyclopediaOfMathematics/Weisstein__Eric_W_-_CRC_Concise_Encyclopedia_Mathematics_Vol_1__CRC_1999__4AH/

https://archive.org/details/encyclopedia-of-mathematics_202206

Tanton.
https://doc.lagout.org/science/0_Computer%20Science/3_Theory/Mathematics/Encyclopedia%20of%20Mathematics.pdf

Wolfram.
https://mathworld.wolfram.com/

https://planetmath.org/

https://archive.org/details/petite_encylopedie_des_mathematiques_dictionnaire_Pagoulatos_1980

REF
DICTIONARIES

Bouvier. Dictionnaire des Mathématiques. 1993.
https://archive.org/details/dictionnairedesm0000bouv
[ Excellent ! ]

http://cefti35000.free.fr/@@PdF-/@Info/Dictionnaire_Des_Math%C3%A9matiques.pdf

https://www.softouch.on.ca/kb/data/Concise%20Oxford%20Dictionary%20of%20Mathematics.pdf

REF
GLOSSARY - SYMBOLS

https://en.wikipedia.org/wiki/Glossary_of_mathematical_symbols

https://it.wikipedia.org/wiki/Glossario_della_simbologia_matematica

REF
HISTORY - HISTOIRE

TOP-RATED - LES MEILLEURS

Boll. Histoire des Mathématiques.
Caratini. Collection.

Dieudonné. Abrégé d'histoire des mathématiques. 1978.
[ jusqu'à 1900 ]
https://fr.wikipedia.org/wiki/Abrégé_d'histoire_des_mathématiques
https://www.journals.uchicago.edu/doi/10.1086/354566
http://www.numdam.org/item/SPHM_1994___3_A1_0.pdf
https://www.researchgate.net/publication/336147786_Imagine_R

https://en.wikipedia.org/wiki/History_of_mathematics

Boll. Histoire des Mathématiques. 13e. 1979.
[ 128 pages ] Pour commencer

Escofier. Histoire des mathématiques. 1e. 2008.
[ 128 pages ]
https://refkol.ro/matek/mathbooks/ro.math.wikia.com%20wiki%20Fisiere_pdf_incarcate/Histoire-des-mathematiques.pdf
https://www.academia.edu/30445815/Jean_Pierre_ESCOFIER_Petite_histoire_des_mathématiques_Dunod_Paris_2016_in_Rep%C3%A8res_IREM_n_105_pp_81_82

https://irem.univ-rennes.fr/ouvrages-en-ligne-mathematiques-et-histoire

REF
LANGUAGE

https://en.wikipedia.org/wiki/Language_of_mathematics

https://librivox.org/uploads/xx-nonproject/Handboo for Spoken Mathematics.pdf

http://sgalex.free.fr/typo-maths_fr.pdf

REF
FOUNDATIONS

https://www.amazon.fr/Fondements-mathématiques-M-Combes/dp/2130314589 

https://en.wikipedia.org/wiki/Foundations_of_mathematics

https://u.osu.edu/friedman.8/ 
https://www.youtube.com/@harveyfriedman4465

Girard. 2000.
https://www.canal-u.tv/video/universite_de_tous_les_savoirs/les_fondements_des_mathematiques.1021

https://alistairsavage.ca/mat2762/notes/MAT2762-Fondements-des-mathematiques.pdf

REF
LOGIC

TOP-RATED - LES MEILLEURS

LOGIC : HISTORY

Boll. Histoire de la Logique. 5e. 1961.
[ 128 pages ]
https://gallica.bnf.fr/ark:/12148/bpt6k3350869f
https://www.babelio.com/livres/Boll-Histoire-de-la-logique/426534#!
https://www.cambridge.org/core/journals/journal-of-symbolic-logic/article/abs/marcel-boll-and-jacques-reinhart-histoire-de-la-logique-que-saisje-no-225-5th-edn

https://fr.wikipedia.org/wiki/Histoire_de_la_logique

https://en.wikipedia.org/wiki/History_of_logic

https://www.historyoflogic.com/

http://www.humbox.ac.uk//5497/1102/LOGIC%20GALLERY%20cgp01.pdf

LOGIC : DIDACTIC - LOGIQUE MATHEMATIQUE (ET THEORIE DES ENSEMBLES)

Caratini. Logique. Cf Philosophie

Chauvineau. La Logique Moderne. 1980. 1964 ? 1969 ?
128 pages
https://www.amazon.fr/dp/213036621X?ref=ppx_yo2ov_dt_b_fed_asin_title
https://excerpts.numilog.com/books/9782130366218.pdf
https://www.cambridge.org/core/journals/mathematical-gazette/article/abs/la-logique-moderne-by-jean-chauvineau-pp-128-presse-universitaires-de-france-paris
https://www.persee.fr/doc/phlou_0035-3841_1957_num_55_47_4925_t1_0402_0000_2
https://www.persee.fr/doc/lfr_0023-8368_1971_num_12_1_5565

Wagner 2024 La Logique
128 pages
https://www.quesaisje.com/la-logique-1
https://www.amazon.fr/Logique-Pierre-Wagner-dp-2715422121/dp/2715422121/ref=dp_ob_title_bk
https://excerpts.numilog.com/books/9782715422124.pdf

Largeault 1998 La Logique
128 pages
https://www.amazon.fr/Logique-Jean-Largeault/dp/2130460887
Commentaire Amazon :
Ce livre est évidemment génial, comme tout ce qu'écrit Jean Largeault, mais je ne le conseillerais pas à un débutant.
Il est vraiment très difficile, la parution en édition " Que sais-je ? " est trompeuse.
Pour commencer, lisez plutôt les ouvrages de Robert Blanché, Marie-Louise Roure ou Jean Salem.

Et il il toujours bon de rappeler que la " Logique " de Paul Mouy est tout à fait remarquable.
https://www.persee.fr/doc/phlou_0035-3841_1950_num_48_18_7884_t1_0309_0000_2 Critique
https://fr.wikipedia.org/wiki/Paul_Mouy

Mouy. Logique (Cours de philosophie), Librairie Hachette, 1944 [2° édition posthume, remaniée et augmentée par Mle Bachelard et M. Dufresne, 1952]
https://fr.scribd.com/document/543070393/La-Logique-Et-Mathematique

Mouy.
Les mathématiques et l’idéalisme philosophique, in F. Le Lionnais, Les grands courants de la pensée mathématique, Cahiers du Sud, 1948 (réimpr. 1962, libr. A. Blanchard ; 1997, éd. Hermann), 533 p., p. 370-371.
https://www.amazon.fr/Grands-courants-pensée-mathématique-Cahiers/dp/290305990X
https://www.persee.fr/doc/rhs_0048-7996_1949_num_2_3_2716
https://archive.org/details/greatcurrentsofm0000leli

Exo7Math.
Logique & Raisonnements
https://youtube.com/playlist?list=PL8CE6188299CCFA23&si=JBKfgXDz-2usAJqv

Math & Phys.
Logique Mathématique
https://www.youtube.com/playlist?list=PLPMCOIL54o6VMqB7Q7tDXEfzAUGWI0fMD

Logicomix.
https://fr.wikipedia.org/wiki/Logicomix
https://profesorvargasguillen.wordpress.com/wp-content/uploads/2013/11/logicomix.pdf
https://archive.org/details/Logicomix-Comic-EarlyLifeOfBertrandRussell
https://fillide.it/apostolos-doxiadis-christos-papadimitriou-logicomix-segnalazione/

Largeault 1992 . L'intuitionnisme.
128 pages
https://www.erudit.org/fr/revues/philoso/1994-v21-n1-philoso1798/027263ar.pdf
https://fr.slideshare.net/elsavonlicy/loeuvre-de-jean-largeault
https://www.amazon.fr/Lintuitionnisme-Jean-Largeault-ebook/dp/B071F1JC68
http://wynen.chez-alice.fr/liens/intuitionnisme.pdf

Cori et Lascar. Logique Mathématique. 1994.
amazon.fr

Cori.

Lascar.

Lassaigne et Rougemont. Logique et Fondements de l'informatique. 1993.

Lassaigne.
https://webusers.imj-prg.fr/~richard.lassaigne/
amazon.fr/Logique-Fondements-LInformatique-Calculabilite-Lambda-Calcul/dp/2866013808
https://webusers.imj-prg.fr/~richard.lassaigne/coursM2/logique_07.pdf

Rougemont.

Kreisel et Krivine. Elements de Logique Mathématique. 1967.

Kreisel.
https://www.irif.fr/~krivine/articles/Elements_logique.pdf

Krivine. Théorie axiomatique des Ensembles. 1972.
amazon.fr/Th%C3%A9orie-axiomatique-ensembles-Krivine-Jean-Louis/dp/B00GO376UY
https://fr.wikipedia.org/wiki/Jean-Louis_Krivine

Lacombe.
Tout ce que vous avez toujours voulu savoir sur la logique et qu’on n’a jamais voulu vous révéler
https://video.irem.univ-paris-diderot.fr/w/8wMr26FicscZ5s9ERHVTjB

Lacombe.
Grandeur et misère de l'implication
https://video.irem.univ-paris-diderot.fr/w/adfa20fa-0028-4782-a864-99a7003e1280

Lacombe.
https://www.imj-prg.fr/lm/deces-de-daniel-lacombe/

Girard.
https://girard.perso.math.cnrs.fr/Accueil.html

LOGIC : OVERVIEW

en.wikipedia

https://en.wikipedia.org/wiki/Mathematical_logic

https://en.wikipedia.org/wiki/Logical_connective

https://en.wikipedia.org/wiki/List_of_logic_symbols

https://en.wikipedia.org/wiki/Truth_function

https://en.wikipedia.org/wiki/Logical_truth

https://en.wikipedia.org/wiki/Material_conditional

fr.wikipedia

https://fr.wikipedia.org/wiki/Portail:Logique

https://fr.wikipedia.org/wiki/Liste_de_symboles_logiques

https://fr.wikipedia.org/wiki/Connecteur_logique

LOGIC : UNSORTED

https://encyclopediaofmath.org/index.php?title=Mathematical_logic

https://www.logicmatters.net/

https://www.reddit.com/r/math/comments/1418n9n/whats_a_good_book_to_learn_rigorous_mathematical/

https://www.pdfdrive.com/a-concise-introduction-to-logic-e185900044.html

https://www.historyoflogic.co/website-pdf/logic.pdf

https://les-mathematiques.net/vanilla/discussion/592553/livres-pour-debuter-la-logique

https://builds.openlogicproject.org/

https://fr.scribd.com/document/729412333/Cours-de-logique-2022-2023-LMD

https://philosophy.stackexchange.com/questions/76083/what-separates-mathematics-from-logic-can-mathematical-operations-be-applied?newreg=7e1561b15cdf4ec684ccc1a6e04e025c

REF
SETS

SETS : DIDACTIC

Bouvier. Théorie des Ensembles. 3e. 1982.
[ 128 pages ] [ Download ] [ Excellent ! ]

SETS : OVERVIEW

https://en.wikipedia.org/wiki/Set_theory

SETS : UNSORTED

https://iep.utm.edu/set-theo/

https://plato.stanford.edu/entries/settheory-early/

https://handbook.assafrinot.com/

https://encyclopediaofmath.org/index.php?title=Axiomatic_set_theory

https://encyclopediaofmath.org/index.php?title=Set_theory

https://ghostarchive.org/varchive/hBcWRZMP6xs

Walter B. Rudin: "Set Theory: An Offspring of Analysis"
youtu.be/hBcWRZMP6xs?si=3gnC_Qe1E7CvWiOS 

https://fr.quora.com/La-diff%C3%A9rence-entre-la-fonction-et-lapplication-en-math%C3%A9matiques-autrement-dit-est-ce-que-toute-fonction-est-une-application-ou-bien-toute-application-est-une-fonction

http://tomlr.free.fr/Math%E9matiques/Bourbaki/Theorie%20Des%20Ensembles.pdf

https://fr.scribd.com/doc/45501470/Goldrei-classic-Set-Theory-for-Guided-Independent-Study

https://vdoc.pub/download/classic-set-theory-for-guided-independent-study-5bovu2or7vr0

REF
RELATIONS & STRUCTURES

https://en.wikipedia.org/wiki/Mathematical_structure

https://en.wikipedia.org/wiki/Outline_of_algebraic_structures

https://orbilu.uni.lu/bitstream/10993/32380/1/SM.pdf

REF
NUMBERS

REF
ALGEBRA

REF
GEOMETRY

https://www.its.caltech.edu/~matilde/SpaceMath.pdf

REF
ANALYSIS

https://cel.hal.science/cel-00519301v2

REF
TOPOLOGY

https://math.stackexchange.com/questions/354624/is-a-topological-space-a-structure

http://www.pdmi.ras.ru/~olegviro/topoman/index.html

http://www.felixnagel.org/publications.html

https://www.savoir-sans-frontieres.com/JPP/telechargeables/Francais/LE%20TOPOLOGICON.pdf

REF
PROBABILITY

https://fr.scribd.com/document/747699320/La-Probabilite-le-hasard-et-la-certitude-Paul-Deheuvels

REF
APPLIED

https://en.wikipedia.org/wiki/Applied_mathematics

https://media.philosophy.ox.ac.uk/docs/people/williamson/appliedmaths.pdf

AUTHORS A-Z

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

A 

B 

BOLL MARCEL

BOUVIER ALAIN

C 

CARAMELLO OLIVIA

https://www.youtube.com/watch?v=RcpZm7-S4gI
https://savoirs.ens.fr/expose.php?id=3385
https://savoirs.ens.fr/expose.php?id=3259

CARATINI ROGER

D 

E 

F 

G 

GLAESER GEORGES

https://fr.wikipedia.org/wiki/Georges_Glaeser
http://www.numdam.org/article/SPHM_1983___14_A1_0.pdf

GODEL KURT

https://web.archive.org/web/20160304192140/https://www.cs.auckland.ac.nz/~chaitin/sciamer3.pdf
https://scienceetonnante.com/2016/12/09/theoreme-godel/

H 

HADAMARD JACQUES

https://www.ams.org/journals/bull/1946-52-03/S0002-9904-1946-08528-6/S0002-9904-1946-08528-6.pdf

I 

J 

K 

KHÉLIF ANATOLE

https://www.youtube.com/watch?v=kO8zZZnxYmE&t=1433s

KRIVINE JEAN LOUIS

https://www.irif.fr/~krivine/

L 

LACOMBE DANIEL

https://publimath.apmep.fr/publimath.php?r=%22Lacombe+Daniel%22

M 

N 

NIMIER JACQUES

https://fr.wikipedia.org/wiki/Jacques_Nimier
http://pedagopsy.eu/page75.html

O 

P 

Q 

R 

S 

T 

TALEB NASSIM NICHOLAS

https://www.fooledbyrandomness.com/

https://en.wikipedia.org/wiki/Antifragility

https://www.youtube.com/@nntalebproba

Map of the Incerto
https://www.fooledbyrandomness.com/incerto.pdf

THOM RENE

https://web.archive.org/web/20120117160729/http://people.math.jussieu.fr/~chaperon/HommageChaperon.pdf

https://www.amazon.fr/Paraboles-catastrophes-Entretiens-math%C3%A9matiques-philosophie/dp/2081251302
https://archive.org/details/parabolesetcatas0000thom/mode/2up

https://archive.org/details/stabilitestructu0000thom_y5k9

https://archive.org/search?query=Thom+Rene%CC%81

https://archive.org/details/apologiedulogos0000thom

U 

V 

W 

X 

Y 

Z

TOPICS A-Z

UNSORTED

http://licence-math.univ-lyon1.fr/doku.php?id=a22:s1_algebre1_maths:page

http://cache.media.education.gouv.fr/file/special_3_ESR/45/6/programme-MPSI_252456.pdf

https://www.math.u-bordeaux.fr/~ayger/coursmismi.pdf

https://maths-pdf.fr/

http://maths.ac-amiens.fr/IMG/pdf/explosion_des_mathematiques.pdf

https://sites.math.rutgers.edu/~zeilberg/akherim/PCM.pdf

https://www.pdfdrive.com/princeton-companion-to-mathematics-e38277874.html

https://zbmath.org/classification/

https://mathworld.wolfram.com/

https://pi.ac3j.fr/livres-de-mathematiques/

http://sgalex.free.fr/typo-maths_fr.pdf

https://math.typeit.org/

https://www.languefrancaise.net/forum/viewtopic.php?id=13045

https://perso.univ-rennes1.fr/matthieu.romagny/agreg/ecriture_mathematique.pdf

https://www.ventsetjardins.fr/pelican/comprendre/Bibliotheque-de-maths-physique.html

SEE ALSO BIOSTATISTICS

MORE REFERENCES

TOC
NEWS & UPDATES

DONE

(Walusinski "Faire des Maths") V1 PDF
(Caratini Collection, Histoire des maths) V1 PDF
(Caratini Collection, Généralités sur Ensembles Arithmétique Nombres Algèbre) V1 PDF
(Caratini Collection, Théorie des Ensembles) V1 PDF
(Caratini Collection, Arithmétique & Théorie des Nombres) V1 PDF
(Caratini Collection, Analyse Combinatoire)  V1 PDF
(Caratini Panorama, Sommaire Détaillé & Intro) V1 PDF
(Caratini Collection, Analyse Combinatoire)  V1 PDF
(Caratini Panorama, Sommaire Détaillé & Intro) V1 PDF
(Caratini Panorama, Annexe Theorie des ensembles & Algèbre des Structures) V1 PDF
(Caratini Collection, Algèbre des Structures) V1 PDF
(Caratini Panorama, 3 Algèbres - Notion de Sructure - Théorie des groupes - Analyse Histoire ) V1 PDF
(Bouvier Théorie Ensembles QSJ) V1 PDF
(Glaeser Sommaire, Chap 00 & Chap 01) V1 PDF
(Reinhardt Atlas différents domaines) V1 PDF
Ajouté le site de Pianeta Dimitri, il y a aussi un cours sur les cartes mentales sur son site
Fini Boll Que Sais Je ? Histoire des Maths

DOING

Reinhardt Atlas logique et car philo logique !
(Reinhardt Atlas, Théorie des ensembles : Concepts Algèbre Treillis Problématique) V1 PDF
(Reinhardt Atlas, Relations & Structures : Relation Application Fonction Puissance Cardinal dénombrabilité Structures Algébriques Ordre Ordinaux Topologiques) V1 PDF
(Caratini Collection, Nombres Réels et Nombres Complexes) V1 PDF

et car géométrie pan finir sauf analyse
R TE Bouvier QSJ
trouver système pour articles wik et autres liens
(Kahn CNED 2 Algèbre et Algèbre Linéaire, Chap 1 et 2) Refaire
(Kahn CNED 1 3 4 5 6 )
Opera Magistris 23 Dec et  !!!
ABC du BAC ex de constructions alg d'ens reprendre quotient opera str et homomorp refaire ?
Caratini logique dans philosophie str
Pensée formelle ?
geom CNED
Reinhardt Atlas Logique
Bodin exo 7 et videos
Exo 7
Caratini Panorama ET col !
Souriac
CNED
TE QSJ refaire avec Walunsinski
pour logique trouver un ordre de lecture et de travail
Reinhardt Atlas Logique refaire ! et après TE !
Glaeser juste avant logique
Séquence pensée formelle car log et atlas log.....puis TE atlas
Izoz quand ?
Exo 7 finir !
Reprise ABC et CNED et TE QSJ et Souriac
Atl
Log formelle et log philo car
2 Abrégés cri
Sour méca
exo7 quant log puis video
2 abrégés
cned geom
str om
glaeser ?
memo meca ?
Finir 2 abrégés et Souriac
Finir Car pan et col
finir geom Kahn chap ?
Glaeser langage pas logique
qsj sur TE le finir il y a des passages incompris
opera magistris faire sommaire détaillé applied ! Classer déjà fait
Car geom top
car réels revoir kahn avant pour RO
les 2 abrégés finir !!!!
Kahn Caratini sans problèmes ! Et aborder OM et physique !
philo car
pensée formelle
Car Col
Car Pan
Car philo log et biblio
Bac en poche ?
ABC plutôt
Atlas log TE

Séquence : pensée formelle - car log - atlas log.....puis TE atlas

CNED
finir geom chap 1
mais reprendre depuis le début avec som détaillé sur site
Souriac
finir et reprendre en parallèle des autres Cned atlas etc
Glaeser
Logique aprés autres
Exo 7
continuer et videos
Bouvier TE
ordre revoir
Opera Magistris
str et Log aprés
sommaire dans le détail reprendre depuis le début logique compris
Wikipedia
found & logic math
2 Abrégés med
stat après cned
Vallant
pensée formelle
Atlas philo
log
Auroux
Voc log Aur et math

TOC
WayBack Machine