
First Year Calculus
Category :Calculus
Language:
clicks:
5015
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:
4985
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:
4885
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:
4822
 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:
4803
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:
4778
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 . . . . . 
Foundations of Differentiable Manifolds and Lie Groups
Category :Lie Groups
Language:
clicks:
4776
Contents: manifolds; tensors and differential forms; Lie groups; integration on manifolds; sheaves, cohomology, and the de Rham Theorem; The Hodge Theorem. 
Functional Analysis
Category :Functional Analysis
Language:
clicks:
4692
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:
4603
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 . . . . . 
Topics in Differential Geometry
Category :Differential Geometry
Language:
clicks:
4565
Contents: Manifolds and Vector Fields; Lie Groups; Diﬀerential Forms and De Rham Cohomology; Riemannian Geometry; Bundles and Connections; Symplectic Geometry and Hamiltonian Mechanics.

Elements of Linear and Real Analysis
Category :Analysis
Language:
clicks:
4564
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. 
Differentiable Manifolds
Category :Differential Geometry
Language:
clicks:
4538
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:
4512
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:
4492
Contents: Sets and Boolean Algebra; The Binomial Distribution; The Multinomial Distribution; The Poisson Distribution; The Binomial Moment Generating Function; The Normal Moment Generating Function; . . . . . 
Differential Geometry
Category :Differential Geometry
Language:
clicks:
4487
Basic Structures on Rn; Curvatures of a Curve; 3D Curves  Curves on Hypersurfaces; Hypersurfaces; Surfaces in the 3dimensional space;
Surfaces in the 3dimensional space; The Lie Algebra of Vector . . . . . 