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Most clicked Books of Mathematics

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Applied Abstract Algebra
Category :Abstract Algebra  Language: clicks: 5038
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: 5014
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: 4903
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: 4832
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: 4795
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: 4783
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: 4755
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: 4725
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: 4715
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: 4710
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; Vectors--Algebra and Geometry; Vector Functio . . . . .
Introduction to Queueing Theory
Category :Queueing Theory  Language: clicks: 4688
Introduction to Queueing Theory This classic book on Queueing Theory is available on line through Robert Cooper's home page.
Differential Geometry
Category :Differential Geometry  Language: clicks: 4684
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 . . . . .
Classical Electrodynamics and Theory of Relativity
Category :Thoery of Relativity  Language: clicks: 4677
This book is a manual for the course of electrodynamics and theory of relativity. It is recommended primarily for students of mathematical departments. This defines its style: I use elements of vector . . . . .
Algorithmic Information Theory
Category :Information Theory  Language: clicks: 4582
Algorithmic Information Theory Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Gödel's incompleteness theorem, using an information theoretic approach based on the s . . . . .
Functional Analysis and Semi-Groups
Category :Functional Analysis  Language: clicks: 4581
Functional Analysis and Semi-Groups Contents: Functional Analysis; Basic Properties of Semi-Groups; Advanced Analytical Theory of Semi-Groups; Special Semi-Groups and Applications; Extensions of the Theory.


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