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Algebraic Topology

Algebraic Topology

  • Author: C. R. F. Maunder
  • Publisher: Courier Corporation
  • ISBN: 9780486691312
  • Category: Mathematics
  • Page: 375
  • View: 3472
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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.

Algebraic Topology

Algebraic Topology

Homology and Cohomology

  • Author: Andrew H. Wallace
  • Publisher: Courier Corporation
  • ISBN: 0486462390
  • Category: Mathematics
  • Page: 272
  • View: 2273
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Surveys several algebraic invariants, including the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.

Differentialgeometrie von Kurven und Flächen

Differentialgeometrie von Kurven und Flächen

  • Author: Manfredo P. do Carmo
  • Publisher: Springer-Verlag
  • ISBN: 3322850722
  • Category: Technology & Engineering
  • Page: 263
  • View: 4039
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Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang

A Combinatorial Introduction to Topology

A Combinatorial Introduction to Topology

  • Author: Michael Henle
  • Publisher: Courier Corporation
  • ISBN: 9780486679662
  • Category: Mathematics
  • Page: 310
  • View: 2711
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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.

Principles of Topology

Principles of Topology

  • Author: Fred H. Croom
  • Publisher: Courier Dover Publications
  • ISBN: 0486801543
  • Category: Mathematics
  • Page: 336
  • View: 9146
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Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.

An Introduction to Algebraic Topology

An Introduction to Algebraic Topology

  • Author: Andrew H. Wallace
  • Publisher: Courier Corporation
  • ISBN: 0486152952
  • Category: Mathematics
  • Page: 208
  • View: 4122
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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. 1961 edition.

Ebene algebraische Kurven

Ebene algebraische Kurven

  • Author: Gerd Fischer
  • Publisher: Springer-Verlag
  • ISBN: 3322803112
  • Category: Mathematics
  • Page: 177
  • View: 2107
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Neben den elementaren Dingen, wie Tangenten, Singularitäten und Wendepunkten werden auch schwierigere Begriffe wie lokale Zweige und Geschlecht behandelt. Höhepunkte sind die klassischen Formeln von Plücker und Clebsch, die Beziehungen zwischen verschiedenen globalen und lokalen Invarianten einer Kurve beschreiben.

Introduction to Topology

Introduction to Topology

Second Edition

  • Author: Theodore W. Gamelin,Robert Everist Greene
  • Publisher: Courier Corporation
  • ISBN: 0486320189
  • Category: Mathematics
  • Page: 256
  • View: 4725
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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.

Mengentheoretische Topologie

Mengentheoretische Topologie

  • Author: Boto von Querenburg
  • Publisher: Springer-Verlag
  • ISBN: 3642568602
  • Category: Education
  • Page: 353
  • View: 6759
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Eine verständliche und vollständige Einführung in die Mengentheoretische Topologie, die als Begleittext zu einer Vorlesung, aber auch zum Selbststudium für Studenten ab dem 3. Semester bestens geeignet ist. Zahlreiche Aufgaben ermöglichen ein systematisches Erlernen des Stoffes, wobei Lösungshinweise bzw. Musterlösungen zu ausgewählten Aufgaben bereitgestellt werden. In den ersten 10 Kapiteln werden die wichtigen Begriffe und Ergebnisse der Mengentheoretischen Topologie abgehandelt. Daran schließt sich die Untersuchung uniformer Strukturen in Kapitel 11-12 an. Zur Vertiefung werden Funktionenräume, Vervollständigungen und Kompaktifizierungen in Kapitel 13-15 behandelt. Für die Neuauflage wurden fünf zusätzliche Kapitel über topologische Strukturen in topologischen Gruppen sowie ein Abschnitt über die historischen Entwicklungen der Mengentheoretischen Topologie und der topologischen Gruppen zugefügt.

Manifolds and Modular Forms

Manifolds and Modular Forms

  • Author: Friedrich Hirzebruch
  • Publisher: Springer-Verlag
  • ISBN: 3663140458
  • Category: Mathematics
  • Page: 212
  • View: 4961
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Galoissche Theorie

Galoissche Theorie

  • Author: Emil Artin
  • Publisher: N.A
  • ISBN: N.A
  • Category: Galois theory
  • Page: 86
  • View: 2852
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Liebe und Mathematik

Liebe und Mathematik

Im Herzen einer verborgenen Wirklichkeit

  • Author: Edward Frenkel
  • Publisher: Springer-Verlag
  • ISBN: 3662434210
  • Category: Mathematics
  • Page: 317
  • View: 4697
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Boolesche Algebra und ihre Anwendungen

Boolesche Algebra und ihre Anwendungen

  • Author: John Eldon Whitesitt
  • Publisher: Springer-Verlag
  • ISBN: 3322962539
  • Category: Mathematics
  • Page: 207
  • View: 2373
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General Topology

General Topology

  • Author: Stephen Willard
  • Publisher: Courier Corporation
  • ISBN: 0486131785
  • Category: Mathematics
  • Page: 384
  • View: 7995
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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.

Topology

Topology

  • Author: John G. Hocking,Gail S. Young
  • Publisher: Courier Corporation
  • ISBN: 0486141098
  • Category: Mathematics
  • Page: 384
  • View: 7068
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Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index.

A Geometric Introduction to Topology

A Geometric Introduction to Topology

  • Author: Charles Terence Clegg Wall
  • Publisher: Courier Corporation
  • ISBN: 0486678504
  • Category: Mathematics
  • Page: 168
  • View: 4301
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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.

Topology

Topology

An Introduction to the Point-set and Algebraic Areas

  • Author: Donald W. Kahn
  • Publisher: Courier Corporation
  • ISBN: 9780486686097
  • Category: Mathematics
  • Page: 217
  • View: 7561
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Comprehensive coverage of elementary general topology as well as algebraic topology, specifically 2-manifolds, covering spaces and fundamental groups. Problems, with selected solutions. Bibliography. 1975 edition.

Elements of Point Set Topology

Elements of Point Set Topology

  • Author: John D. Baum
  • Publisher: Courier Corporation
  • ISBN: 0486668266
  • Category: Mathematics
  • Page: 150
  • View: 1507
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Topology continues to be a topic of prime importance in contemporary mathematics, but until the publication of this book there were few if any introductions to topology for undergraduates. This book remedied that need by offering a carefully thought-out, graduated approach to point set topology at the undergraduate level. To make the book as accessible as possible, the author approaches topology from a geometric and axiomatic standpoint; geometric, because most students come to the subject with a good deal of geometry behind them, enabling them to use their geometric intuition; axiomatic, because it parallels the student's experience with modern algebra, and keeps the book in harmony with current trends in mathematics. After a discussion of such preliminary topics as the algebra of sets, Euler-Venn diagrams and infinite sets, the author takes up basic definitions and theorems regarding topological spaces (Chapter 1). The second chapter deals with continuous functions (mappings) and homeomorphisms, followed by two chapters on special types of topological spaces (varieties of compactness and varieties of connectedness). Chapter 5 covers metric spaces. Since basic point set topology serves as a foundation not only for functional analysis but also for more advanced work in point set topology and algebraic topology, the author has included topics aimed at students with interests other than analysis. Moreover, Dr. Baum has supplied quite detailed proofs in the beginning to help students approaching this type of axiomatic mathematics for the first time. Similarly, in the first part of the book problems are elementary, but they become progressively more difficult toward the end of the book. References have been supplied to suggest further reading to the interested student.

Foundations of Combinatorial Topology

Foundations of Combinatorial Topology

  • Author: L. S. Pontryagin
  • Publisher: Courier Corporation
  • ISBN: 0486406857
  • Category: Mathematics
  • Page: 112
  • View: 2872
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Concise, rigorous introduction to homology theory features applications to dimension theory and fixed-point theorems. Lucid coverage of the field includes examinations of complexes and their Betti groups, invariance of the Betti groups, and continuous mappings and fixed points. Proofs are presented in a complete and careful manner. A beneficial text for a graduate-level course, "this little book is an extremely valuable addition to the literature of algebraic topology." — The Mathematical Gazette.

Principia Mathematica.

Principia Mathematica.

  • Author: Alfred North Whitehead,Bertrand Russell
  • Publisher: N.A
  • ISBN: N.A
  • Category: Logic, Symbolic and mathematical
  • Page: 167
  • View: 8463
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