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Most clicked Books of Mathematics

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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
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: 4803
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: 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 self-adjoint 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 self-control.
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 3-dimensional space; Surfaces in the 3-dimensional space; The Lie Algebra of Vector . . . . .


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