**Author**: Charles Terence Clegg Wall

**Publisher:**Courier Corporation

**ISBN:**0486678504

**Category:**Mathematics

**Page:**168

**View:**342

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# Search Results for: a-geometric-introduction-to-topology-dover-books-on-mathematics

**Author**: Charles Terence Clegg Wall

**Publisher:** Courier Corporation

**ISBN:** 0486678504

**Category:** Mathematics

**Page:** 168

**View:** 342

First course in algebraic topology for advanced undergraduates. Homotopy theory, the duality theorem, relation of topological ideas to other branches of pure mathematics. Exercises and problems. 1972 edition.

**Author**: Michael Henle

**Publisher:** Courier Corporation

**ISBN:** 9780486679662

**Category:** Mathematics

**Page:** 310

**View:** 1086

Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.

**Author**: H. Graham Flegg

**Publisher:** Courier Corporation

**ISBN:** 0486138496

**Category:** Mathematics

**Page:** 208

**View:** 1043

Introductory text for first-year math students uses intuitive approach, bridges the gap from familiar concepts of geometry to topology. Exercises and Problems. Includes 101 black-and-white illustrations. 1974 edition.
*Third Edition*

**Author**: Bert Mendelson

**Publisher:** Courier Corporation

**ISBN:** 0486135098

**Category:** Mathematics

**Page:** 224

**View:** 818

Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.

**Author**: Fred H. Croom

**Publisher:** Courier Dover Publications

**ISBN:** 0486801543

**Category:** Mathematics

**Page:** 336

**View:** 9311

Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.

**Author**: Michael C. Gemignani

**Publisher:** Courier Corporation

**ISBN:** 9780486665221

**Category:** Mathematics

**Page:** 270

**View:** 3392

Topology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis, topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology, accessible to readers with at least three semesters of a calculus and analytic geometry sequence. In addition to superb coverage of the fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, and other essentials, Elementary Topology gives added perspective as the author demonstrates how abstract topological notions developed from classical mathematics. For this second edition, numerous exercises have been added as well as a section dealing with paracompactness and complete regularity. The Appendix on infinite products has been extended to include the general Tychonoff theorem; a proof of the Tychonoff theorem which does not depend on the theory of convergence has also been added in Chapter 7.

**Author**: Manfredo P. do Carmo

**Publisher:** Springer-Verlag

**ISBN:** 3322850722

**Category:** Technology & Engineering

**Page:** 263

**View:** 7027

Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang
*Second Edition*

**Author**: Theodore W. Gamelin,Robert Everist Greene

**Publisher:** Courier Corporation

**ISBN:** 0486320189

**Category:** Mathematics

**Page:** 256

**View:** 1349

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 edition.

**Author**: Howard J. Wilcox,David L. Myers

**Publisher:** Courier Corporation

**ISBN:** 9780486682938

**Category:** Mathematics

**Page:** 159

**View:** 3590

This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.

**Author**: C. R. F. Maunder

**Publisher:** Courier Corporation

**ISBN:** 9780486691312

**Category:** Mathematics

**Page:** 375

**View:** 8204

Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated, and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. Author C.R.F. Maunder provides examples and exercises; and notes and references at the end of each chapter trace the historical development of the subject.

**Author**: Hans F. Weinberger

**Publisher:** Courier Corporation

**ISBN:** 9780486686400

**Category:** Mathematics

**Page:** 446

**View:** 1597

Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Topics include one-dimensional wave equation, properties of elliptic and parabolic equations, separation of variables and Fourier series, nonhomogeneous problems, and analytic functions of a complex variable. Solutions. 1965 edition.
*An Introduction with Application to Topological Groups*

**Author**: George McCarty

**Publisher:** Courier Corporation

**ISBN:** 0486450821

**Category:** Mathematics

**Page:** 288

**View:** 444

This stimulating introduction employs the language of point set topology to define and discuss topological groups. It examines set-theoretic topology and its applications in function spaces as well as homotopy and the fundamental group. Well-chosen exercises and problems serve as reinforcements. 1967 edition. Includes 99 illustrations.

**Author**: Maurice Fréchet,Ky Fan

**Publisher:** Courier Corporation

**ISBN:** 0486147886

**Category:** Mathematics

**Page:** 136

**View:** 2014

Elementary text, accessible to anyone with a background in high school geometry, covers problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, topological polygons, more. Includes 108 figures. 1967 edition.
*Methods and Applications*

**Author**: Roland Schinzinger,Patricio A. A. Laura

**Publisher:** Courier Corporation

**ISBN:** 9780486432366

**Category:** Mathematics

**Page:** 583

**View:** 423

This volume introduces the basic mathematical tools behind conformal mapping, describes advances in technique, and illustrates a broad range of applications. 1991 edition. Includes 247 figures and 38 tables.

**Author**: Solomon Lefschetz

**Publisher:** Courier Corporation

**ISBN:** 0486154726

**Category:** Mathematics

**Page:** 256

**View:** 1695

An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.

**Author**: Karl Friedrich Gauss,Peter Pesic

**Publisher:** Courier Corporation

**ISBN:** 048644645X

**Category:** Mathematics

**Page:** 144

**View:** 5806

Originally published: General investigations of curved surfaces of 1827 and 1825. [Princeton]: Princeton University Library, 1902.

**Author**: Friedrich Hirzebruch

**Publisher:** Springer-Verlag

**ISBN:** 3663140458

**Category:** Mathematics

**Page:** 212

**View:** 1682

**Author**: Stephen Willard

**Publisher:** Courier Corporation

**ISBN:** 9780486434797

**Category:** Mathematics

**Page:** 369

**View:** 3884

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. 1970 edition. Includes 27 figures.

**Author**: Peter Giblin

**Publisher:** Cambridge University Press

**ISBN:** 1139491172

**Category:** Mathematics

**Page:** N.A

**View:** 9239

Homology theory is a powerful algebraic tool that is at the centre of current research in topology and its applications. This accessible textbook will appeal to mathematics students interested in the application of algebra to geometrical problems, specifically the study of surfaces (sphere, torus, Mobius band, Klein bottle). In this introduction to simplicial homology - the most easily digested version of homology theory - the author studies interesting geometrical problems, such as the structure of two-dimensional surfaces and the embedding of graphs in surfaces, using the minimum of algebraic machinery and including a version of Lefschetz duality. Assuming very little mathematical knowledge, the book provides a complete account of the algebra needed (abelian groups and presentations), and the development of the material is always carefully explained with proofs given in full detail. Numerous examples and exercises are also included, making this an ideal text for undergraduate courses or for self-study.

**Author**: Paul Alexandroff

**Publisher:** Courier Corporation

**ISBN:** 0486155064

**Category:** Mathematics

**Page:** 64

**View:** 8776

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 of Betti groups. Includes 25 figures.

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