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This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-semester course and are based around the same set of basic, core topics. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences.

• NEW - Greatly expanded, full-semester coverage of algebraic topology—Extensive treatment of the fundamental group and covering spaces. What follows is a wealth of applications—to the topology of the plane (including the Jordan curve theorem), to the classification of compact surfaces, and to the classification of covering spaces. A final chapter provides an application to group theory itself.

  • Follows the present-day trend in the teaching of topology which explores the subject much more extensively with one semester devoted to general topology and a second to algebraic topology. Ex.___

• Advanced topics—Such as metrization and imbedding theorems, function spaces, and dimension theory are covered after connectedness and compactness.

• Order of topics proceeds naturally from the familiar to the unfamiliar—Begins with the familiar set theory, moves on to a thorough and careful treatment of topological spaces, then explores connectedness and compactness (with their many ties to calculus and analysis), and then branches out to the new and different topics mentioned above.

  • Carefully guides students through transitions to more advanced topics being careful not to overwhelm them. Motivates students to continue into more challenging areas. Ex.___

• One-or two-semester coverage—Provides separate, distinct sections on general topology and algebraic topology.

  • Each of the text's two parts is suitable for a one-semester course, giving instructors a convenient single text resource for bridging between the courses. The text can also be used where algebraic topology is studied only briefly at the end of a single-semester course. Ex.___

• Many examples and figures—Exploits six basic counterexamples repeatedly.

  • Avoids overemphasis on “weird counterexamples.” Ex.___

• Exercises—Varied in difficulty from the routine to the challenging. Supplementary exercises at the end of several chapters explore additional topics.

  • Deepen students' understanding of concepts and theorems just presented rather than simply test comprehension. The supplementary exercises can be used by students as a foundation for an independent research project or paper. Ex.___

• Greatly expanded, full-semester coverage of algebraic topology—Extensive treatment of the fundamental group and covering spaces. What follows is a wealth of applications—to the topology of the plane (including the Jordan curve theorem), to the classification of compact surfaces, and to the classification of covering spaces. A final chapter provides an application to group theory itself.

  • Follows the present-day trend in the teaching of topology which explores the subject much more extensively with one semester devoted to general topology and a second to algebraic topology. Ex.___

I. GENERAL TOPOLOGY.

II. ALGEBRAIC TOPOLOGY.

Topology  (Mathematics)

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006   |   Pearson   |   Study Card   |   Instock
ISBN-10: 0321394747   |   ISBN-13: 9780321394743
Suggested retail price: $4.00  Buy from myPearsonStoreNet price: $3.00  (What's this?)

Basic Math Review Card, 2/E
Addison Wesley Higher Education
©2006   |   Pearson   |   Study Card; 6 pp   |   Instock
ISBN-10: 0321394763   |   ISBN-13: 9780321394767
Suggested retail price: $4.00  Buy from myPearsonStoreNet price: $3.00  (What's this?)

Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000   |   Pearson   |   Unknown / Other   |   Instock
ISBN-10: 0201716275   |   ISBN-13: 9780201716276
Suggested retail price: $0.00Net price: $0.00  (What's this?)

Concept Videos: Algebra
Addison Wesley Higher Education
©2008   |   Pearson   |   Multiple Media Package   |   Instock
ISBN-10: 0321517199   |   ISBN-13: 9780321517197
Suggested retail price: $36.67Net price: $27.50  (What's this?)

Concept Videos: Basic Math & Prealgebra
Addison Wesley Higher Education
©2008   |   Pearson   |   Multiple Media Package   |   Instock
ISBN-10: 032151758X   |   ISBN-13: 9780321517586
Suggested retail price: $36.67Net price: $27.50  (What's this?)

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997   |   Pearson   |   Paper; 195 pp   |   Instock
ISBN-10: 0136492037   |   ISBN-13: 9780136492030
Suggested retail price: $49.40  Buy from myPearsonStoreNet price: $37.05  (What's this?)

Graphing Calculator Tutorial CD
Addison Wesley Higher Education
©2006   |   Pearson   |   CD-ROM Only   |   Instock
ISBN-10: 0321357744   |   ISBN-13: 9780321357748
Suggested retail price: $13.33  Buy from myPearsonStoreNet price: $10.00  (What's this?)

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000   |   Pearson   |   Paper   |   Instock
ISBN-10: 0321069188   |   ISBN-13: 9780321069184
Suggested retail price: $36.67  Buy from myPearsonStoreNet price: $27.50  (What's this?)

Prealgebra Review Workbook
Wheel
©2006   |   Pearson   |   Paper; 300 pp   |   Instock
ISBN-10: 0321473329   |   ISBN-13: 9780321473325
Suggested retail price: $36.67  Buy from myPearsonStoreNet price: $27.50  (What's this?)

Review of Algebra, A
Howard
©2002   |   Pearson   |   Paper; 224 pp   |   Instock
ISBN-10: 0201773473   |   ISBN-13: 9780201773477
Suggested retail price: $36.67  Buy from myPearsonStoreNet price: $27.50  (What's this?)

Spanish Basic Math Study Card
Leonarte
©2007   |   Pearson   |   Study Card   |   Instock
ISBN-10: 0321438582   |   ISBN-13: 9780321438584
Suggested retail price: $4.00  Buy from myPearsonStoreNet price: $3.00  (What's this?)

TestGen All-in-One 2005 Package
Addison Wesley Higher Education
©2005   |   Pearson   |   CD-ROM Only   |   Instock
ISBN-10: 0321334469   |   ISBN-13: 9780321334466
Suggested retail price: $0.00Net price: $0.00  (What's this?)

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