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Most clicked Books of Mathematics

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Introduction to Chaos
Category :Chaos Theory  Language: clicks: 5256
Contents: 1. Lorenz Model: an introduction to chaos; 2. The Pendulum: the language of dynamical systems; 3. Nonlinear Oscillators: quasiperiodicity and frequency locking; 4. One Dimensional Maps; 5. T . . . . .
Electronic Statistics Textbook
Category :Probability and Statistics  Language: clicks: 5253
This Electronic Statistics Textbook offers training in the understanding and application of statistics. The material was developed at the StatSoft R&D department based on many years of teaching underg . . . . .
Vector Calculus
Category :Calculus  Language: clicks: 5231
Contents: Introduction; Partial Differentiation; Curves and Surfaces; Line Integrals and Exact Differentials; Multiple Integrals; Vector Differential Operators; The Big Integral Theorems; Orthogonal . . . . .
Elementary Number Theory
Category :Number Theory  Language: clicks: 5175
Elementary Number Theory This is a textbook about prime numbers, congruences, basic public-key cryptography, quadratic reciprocity, continued fractions, elliptic curves, and number theory algorithms. We assume the reader has . . . . .
Free Elementary Number Theory textbook
Category :Number Theory  Language: clicks: 5065
Contents: Basic Axioms for Z; proof by induction; elementary divisibility properties; The floor and ceiling of a real number; The division algorithm; greatest common divisor; the eucledian algorithm; . . . . .
Lectures on Differential Geometry
Category :Differential Geometry  Language: clicks: 5013
Lectures on Differential Geometry Contents:Chapter 1. Manifolds 1.1 Review of calculus 1.2 Manifolds:definitions and examples 1.3 Vectors and differentials 1.4 Submanifolds 1.5 Riemann metrics Chapter 2. Tensor Calcu . . . . .
Reversible Markov Chains and Random Walks on Graphs
Category :Graph Theory  Language: clicks: 4973
Contents: Introduction; General Markov Chains; Reversible Markov Chains; Hitting and Convergence Time, and Flow Rate, Parameters for Reversible Markov Chains; coupling theory and examples; Special Gra . . . . .
First Year Calculus
Category :Calculus  Language: clicks: 4931
Contents: THE NUMBER SYSTEM; FUNCTIONS; INTRODUCTION TO DERIVATIVES; SOME SPECIAL FUNCTIONS; APPLICATIONS OF DERIVATIVES; LIMITS OF FUNCTIONS; CONTINUITY; DIFFERENTIATION; THE DEFINITE INTEGRAL; TECHN . . . . .
Discrete Mathematics for Computer Science
Category :Discrete Mathematics  Language: clicks: 4931
Contents: Mathematical Reasoning, Proof Principles and Logic; Relations, Functions, Partial Functions; Some Counting Problems; Binomial Coefficients; Partial Orders and Equivalence Relations; Graphs . . . . .
Course of differential geometry
Category :Differential Geometry  Language: clicks: 4829
This book is a textbook for the basic course of differential geometry. It is recommended as an introductory material for this subject.
An Introduction to the Theory of Numbers
Category :Number Theory  Language: clicks: 4776
An Introduction to the Theory of Numbers This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures f . . . . .
Applied Abstract Algebra
Category :Abstract Algebra  Language: clicks: 4754
Contents: Some elementary number theory; Polynomials, rings and fields; Error-correcting codes; Permutations; An introduction to groups; Special projects: Codes.
Hilbert Space Methods for Partial Differential Equations
Category :Functional Analysis  Language: clicks: 4726
This book is an outgrowth of a course which we have given almost periodically over the last eight years. It is addressed to beginning graduate students of mathematics, engineering, and the physical sc . . . . .
Functional Analysis
Category :Functional Analysis  Language: clicks: 4647
Contents: Metric spaces; Spaces of functions; Hilbert spaces; Banach spaces; Applications of Banach space ideas to Fourier series; operators on Hilbert space; spectral theorem for self-adjoint compac . . . . .
Foundations of Differentiable Manifolds and Lie Groups
Category :Lie Groups  Language: clicks: 4642
Contents: manifolds; tensors and differential forms; Lie groups; integration on manifolds; sheaves, cohomology, and the de Rham Theorem; The Hodge Theorem.


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