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- Mathématiques - Matematica

SIMPLE CONTENTS
NEWS & UPDATES
MAPS
OVERVIEW
HISTORY
AREAS
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

FOUNDATIONS

LOGIC

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

NUMBERS

ALGEBRA
LINEAR ALGEBRA
POLYNOMIAL
S & 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


TOC
HISTORY
(Caratini Collection, Histoire des maths) V1 PDF

TOC
AREAS

TOC
FOUNDATIONS

TOC
LOGIC - PROOF THEORY
(Isoz, Proof Theory) V1 PDF
FOUNDATIONS CRISIS
PARADOXES

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


TOC
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

SETS
ZERMELO-FRAENKEL AXIOMATIC
Cardinals
Cartesian Product
Intervals
SET OPERATIONS
Inclusion
Intersection
Union
Difference
Symmetric Difference
Product
Complementarity

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


TOC
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

TOC
ARITHMETIC OPERATORS
(Isoz) V1 PDF
BINARY RELATIONS
Equalities
Comparators
FUNDAMENTAL ARITHMETIC LAWS
Addition
Subtraction
Multiplication
Division
ARITHMETIC POLYNOMIALS
ABSOLUTE VALUE
CALCULATION RULES (OPERATORS PRIORITIES)

TOC
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

TOC
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

TOC
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

TOC
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


TOC
SPINOR CALCULUS
UNIT SPINOR
GEOMETRIC PROPERTIES

Plane Symmetries 
Rotations 
Properties of Pauli Matrices


TOC
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


TOC
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

TOC
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


TOC
DIFFERENTIAL GEOMETRY
PARAMETRIC CURVES
ISOLINES
FRENET FRAME
SURFACE PATCHS

Metric of a Surface Patch


TOC
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


TOC
GRAPH THEORY
Type of Graphs and Structures
Graph Adjacency Matrix
Categories

TOC
KNOT THEORY
Braids Representation
Braids Group
Knot Representation
Knots Group
Tait’s Knot
Mathematical Formalisation
Planar Representation

TOC
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

TOC
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


TOC
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


TOC
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

TOC
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

TOC
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


TOC
MEASURE THEORY
MEASURABLE SPACES
Monotone Classes

TOC
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


TOC
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

TOC
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

TOC
APPLIED MATHEMATICS

TOC
MECHANICS

TOC
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

TOC
CLASSICAL MECHANICS

TOC
WAVE MECHANICS

TOC
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

TOC
ELECTROKINETICS

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OPTICS (RAY OPTICS)

TOC
WAVE OPTICS

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ATOMISTIC

TOC
CORPUSCULAR QUANTUM PHYSICS

TOC
WAVE QUANTUM PHYSICS

TOC
RELATIVISTIC QUANTUM PHYSICS

TOC
NUCLEAR PHYSICS

TOC
QUANTUM FIELD THEORY

TOC
ELEMENTARY PARTICLE PHYSICS

TOC
COSMOLOGY

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ASTRONOMY (CELESTIAL MECHANICS)

TOC
ASTROPHYSICS

TOC
SPECIAL RELATIVITY

TOC
GENERAL RELATIVITY

TOC
COSMOGONY

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QUANTUM GRAVITY

TOC
STRING THEORY

TOC
CHEMISTRY

TOC
QUANTUM CHEMISTRY

TOC
MOLECULAR CHEMISTRY

TOC
ANALYTICAL CHEMISTRY

TOC
THERMOCHEMISTRY

TOC
THEORETICAL COMPUTING

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NUMERICAL METHODS/ANALYSIS

TOC
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

TOC
REFERENCES

OVERVIEW,
DIDACTIC, REVIEW, REFERENCE

Caratini. Tout en 1. Mathématiques. 1994. [ Download ]
Caratini. Encyclopédie. Mathématiques. 1972.
Caratini. Collection. Mathématiques. 1985. [ View - Download - Backup ]
Caratini. Panorama Sciences. Mathématiques. 1993.
Walusinski. Les bases des Maths en classes terminales. 1976.
[ Download - Backup ]
Souriac. MemoMath Bac Premières années de Faculté. 1977. [ Download - Backup ] [ Cf aussi du meme auteur le MemoMeca en physique ! ]
Reinhardt. Atlas des Mathématiques. 1997. [ Commentaire ] [ Commentaire Archive ] [ Download ]
Glaeser. Mathématiques pour l'élève-professeur. 2e. 1973. [ Download ]
Hadamard. Essai sur la psychologie de l'invention dans le domaine mathématique. 1975. [ Download Français ] [ Download English ] [ Read Français ] [ Read English ]
Kahn. Collection de Mathématiques du CNED. 1995. [ Bac + 2 ]
Corne et al. ABC du BAC Mathématiques. 1983.
Isoz. Opera Magistris. Compendium of Elementary Applied Mathematics for Engineers (EAME). 4e. 2024. 3e. 2018. [ 8700 pages ] [ Download 4e ] [ View 3e ] [ sciences.ch ]

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 ]
Bodin. http://exo7.emath.fr/

http://exo7.emath.fr/cours/formules.pdf  [ Biblio à la fin ]
https://www.youtube.com/@Exo7Math
Algèbre - Cours de première année http://exo7.emath.fr/cours/livre-algebre-1.pdf
Analyse - Cours de première année http://exo7.emath.fr/cours/livre-analyse-1.pdf
Géométrie - Quelques chapitres de géométrie http://exo7.emath.fr/cours/livre-geometrie.pdf
Algorithmes - Quelques chapitres sur les mathématiques en lien avec l'informatique http://exo7.emath.fr/cours/livre-algorithmes.pdf
Deepmath : mathématiques des réseaux de neurones http://exo7.emath.fr/cours/livre-deepmath.pdf
Quantum : un peu de mathématiques pour l'informatique quantique http://exo7.emath.fr/cours/livre-quantum.pdf
http://exo7.emath.fr/un.html
http://exo7.emath.fr/deux.html
http://exo7.emath.fr/trois.html

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/
http://settheory.net/fr/
http://settheory.net/fr/fondements/1

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

AUTHORS

NIMIER JACQUES

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

TOPICS

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

EDUCATION
https://fr.wikipedia.org/wiki/Difficult%C3%A9s_en_math%C3%A9matiques

FOUNDATIONS OF MATHEMATICS
https://en.wikipedia.org/wiki/Foundations_of_mathematics
https://www.youtube.com/@harveyfriedman4465

TOPOLOGY
https://math.stackexchange.com/questions/354624/is-a-topological-space-a-structure
http://www.pdmi.ras.ru/~olegviro/topoman/index.html

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://www.canal-u.tv/video/universite_de_tous_les_savoirs/les_fondements_des_mathematiques.1021
https://mathworld.wolfram.com/


SEE ALSO BIOSTATISTICS

MORE REFERENCES

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NEWS & UPDATES
WayBack Machine
2023
DONE
Walusinski. Les bases des Maths en classes terminales. 1976. [ Download ]
(Walusinski "Faire des Maths") V1 PDF
(Caratini Collection, Histoire des maths) V1 PDF
(Caratini Collection, Généralités sur Ensembles Arithmétique Nombres Algèbre) V1 PDF
Reinhardt. Atlas des Mathématiques. 1997.
(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
2024
DONE
Isoz. Opera Magistris. Compendium of Elementary Applied Mathematics for Engineers (EAME). 4e. 2024.
Corne et al. ABC du BAC Mathématiques. 1983.
TO DO
(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
(Souriac finir !!)
(Caratini Collection, Nombres Réels et Nombres Complexes) V1 PDF
DOING
(Kahn CNED 2 Algèbre et Algèbre Linéaire, Chap 1 et 2)
(Kahn CNED 1 3 4 5 6 )
Opera Magistris 23 Dec et sommaire dans le détail reprendre depuis le début !
ABC du BAC
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