
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
 This is a textbook about prime numbers, congruences, basic publickey 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
 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
 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; Errorcorrecting 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 selfadjoint 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. 