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Topology Now! (Classroom Resource Material), by Robert Messer, Philip Straffin
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Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.
- Sales Rank: #1333783 in Books
- Brand: Brand: The Mathematical Association of America
- Published on: 2006-03-15
- Original language: English
- Number of items: 1
- Dimensions: 9.96" h x .75" w x 6.97" l, 1.37 pounds
- Binding: Hardcover
- 240 pages
- Used Book in Good Condition
Review
A marvelous introduction to geometric topology for students with mathematical talent, but not much mathematical experience. -- W. B. Raymond Likorish, University of Cambridge
About the Author
Robert Messer received his PhD. In 1975 from the University of Wisconsin. He has been at Albion College since 1981.
Philip Straffin’s received his his Ph.D. from the University of California at Berkeley, with a thesis in algebraic topology under Emery Thomas. He has taught at Beloit College since 1970.
Most helpful customer reviews
1 of 1 people found the following review helpful.
Versatile
By Amazon Customer
The authors have obvious intelligence and talent, but ultimately the big-picture pedagogical approach falls a bit short.
I have to agree with some of the other reviews in the sentiment that the topics are not always well-motivated; and the lack of rigor is as often a deterant to as a facilitator of understanding.
Still, I have to give this textbook 4 stars for the following reasons:
1. It is truly accessible---it may not be the best choice for many students, but it is helpful for all of them
2. Broad yet compact---this makes the book valuable for a course where the instructor can supplement with other material.
2 of 4 people found the following review helpful.
Horrendously ambiguous and Unclear Writing
By I. Boyko
If you want an example of how not to write a science and mathematics book, this book is as good as you will find. Somehow, the authors manage to make simple and relatively intuitive concepts ambiguous and complicated. While they attempt to motivate the material, they fail at it miserably and you feel that you have just had a kitchen sink dished at you. When attempting to do exercises, you will more likely than not need to refer to other sources or simply struggle to figure out what the assignment is asking.
In short, there are books out there which you could skim and retain some material. Then, if you feel that you are missing some details, you could go back and work out all the details or read more carefully. This book is in the other category. No matter how much you reread a paragraph, you will struggle to get anything out of it (because of the poor writing style).
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