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Advanced Calculus

by Lynn Harold Loomis & Shlomo Sternberg

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for...

Hodge Theory (MN-49)

by Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths & Lê Dũng Tráng

This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range...

Introductory Topology: Exercises and Solutions

by Mohammed Hichem Mortad

The book offers a good introduction to topology through solved exercises. It is mainly intended for undergraduate students. Most exercises are given with detailed solutions.Contents:

  • Exercises and Solutions:
    • General...

The Divine Proportion

by H. E. Huntley

Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between...

Differential Manifolds: A Basic Approach for Experimental Physicists

by Paul Baillon

Differential Manifold is the framework of particle physics and astrophysics nowadays. It is important for all research physicists to be well accustomed to it and even experimental physicists should be able to...

A First Course in Topology: An Introduction to Mathematical Thinking

by Robert A Conover

Students must prove all of the theorems in this undergraduate-level text, which focuses on point-set topology and emphasizes continuity. The final chapter explores homotopy and the fundamental group. 1975 edition....

General Topology

by Stephen Willard

Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises....

Topological Vector Spaces and Distributions

by John Horvath

Precise exposition provides an excellent summary of the modern theory of locally convex spaces and develops the theory of distributions in terms of convolutions, tensor products, and Fourier transforms. 1966...

An Introduction to Algebraic Topology

by Andrew H. Wallace

This self-contained treatment begins with three chapters on the basics of point-set topology, after which it proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes....


by John G. Hocking & Gail S. Young

Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index.

Knots and Physics

by Louis H Kauffman

This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a...

Elementary Concepts of Topology

by Paul Alexandroff

Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept...

Modern Methods in Topological Vector Spaces

by Albert Wilansky

Geared toward beginning graduate students of mathematics, this text covers Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators, inductive limits, and compactness...

Introduction to Topology: Second Edition

by Theodore W. Gamelin & Robert Everist Greene

This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983...

Counterexamples in Topology

by Lynn Arthur Steen & J. Arthur Seebach

Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography....

Topology and Geometry for Physicists

by Charles Nash & Siddhartha Sen

Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and...

Topological Vector Spaces, Distributions and Kernels

by Francois Treves

Extending beyond the boundaries of Hilbert and Banach space theory, this text focuses on key aspects of functional analysis, particularly in regard to solving partial differential equations. 1967 edition.

Rotations, Quaternions, and Double Groups

by Simon L. Altmann

This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions...

Mathematics: The Man-Made Universe

by Sherman K. Stein

Highly readable volume covers number theory, topology, set theory, geometry, algebra, and analysis, plus the primes, fundamental theory of arithmetic, probability, and more. Solutions manual available upon request....

The Theory of Spinors

by Élie Cartan

Describes orthgonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric definition of these mathematical entities.