
First Year Calculus
Category :Calculus
Language:
clicks:
5091
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:
5043
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:
4930
This book is a textbook for the basic course of differential geometry. It is recommended as an introductory material for this subject. 
Foundations of Differentiable Manifolds and Lie Groups
Category :Lie Groups
Language:
clicks:
4879
Contents: manifolds; tensors and differential forms; Lie groups; integration on manifolds; sheaves, cohomology, and the de Rham Theorem; The Hodge Theorem. 
An Introduction to the Theory of Numbers
Category :Number Theory
Language:
clicks:
4874
 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:
4858
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:
4821
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:
4734
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 . . . . . 
Measure Theory
Category :Measure Theory
Language:
clicks:
4646
In this treatise I aim to give a comprehensive description of modern abstract measure theory, with some indication of its principal applications. My intention is that the book should be usable both as . . . . . 
Elements of Linear and Real Analysis
Category :Analysis
Language:
clicks:
4616
This is a kind of introduction to some basic topics in analysis, some of
which would be covered in standard graduate courses, and some not.160 pages. 
Topics in Differential Geometry
Category :Differential Geometry
Language:
clicks:
4614
Contents: Manifolds and Vector Fields; Lie Groups; Diﬀerential Forms and De Rham Cohomology; Riemannian Geometry; Bundles and Connections; Symplectic Geometry and Hamiltonian Mechanics.

Differentiable Manifolds
Category :Differential Geometry
Language:
clicks:
4580
Contents: Introduction; Manifolds; Tangent vectors and cotangent vectors; Vector fields; Tensor products; Differential forms; Integration of forms; The degree of a smooth map; Riemannian metrics; appe . . . . . 
Lecture notes for the course in Differential Geometry
Category :Differential Geometry
Language:
clicks:
4553
Mostly they constitute a collection of definitions, formulations of most important theorems and related problems for selfcontrol. 
Lectures in Mathematical Statistics
Category :Statistics
Language:
clicks:
4548
Contents: Sets and Boolean Algebra; The Binomial Distribution; The Multinomial Distribution; The Poisson Distribution; The Binomial Moment Generating Function; The Normal Moment Generating Function; . . . . . 
Multivariable Calculus
Category :Calculus
Language:
clicks:
4534
This is a textbook for a course in multivariable calculus. It has been used for the past few years here at Georgia Tech. Contents: Euclidean Three Space; VectorsAlgebra and Geometry; Vector Functio . . . . . 