dalam airwania upanjang yang. AN INTRODUCTION TO ALGEBRAIC TOPOLOGY by Joseph , Graduate Texts in Mathematics , Springer- Verlag. Joseph J. Rotman. An Introduction to Algebraic Topology. With 92 Illustrations. Springer-Verlag. New York Berlin Heidelberg London Paris. Tokyo HongKong. An Introduction to Algebraic Topology by Joseph J. Rotman, , available at Book Depository with free delivery worldwide.
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This book is a clear exposition, with exercises, of basic ideas of algebraic topology: It is suitable for a two-semester course at the beginning graduate level, requiring as a prerequisite a knowledge of point set topology and basic ro. Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? A clear exposition, with exercises, of the basic ideas of algebraic topology.
Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.
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Topology and Geometry Graduate Texts in Mathematics. From the Back Cover This book is a clear exposition, with exercises, of basic ideas of algebraic topology: Graduate Texts in Mathematics Book Hardcover: Springer; 1st edition July 22, Language: I’d like to read this book on Kindle Don’t have a Kindle? Share your thoughts with other customers. Write a customer review. Showing of 6 reviews.
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An Introduction to Algebraic Topology
There was a problem introduciton reviews right now. Please try again later. It’s well written text for upper undergraduate and beginning graduate students, and the bind is good. One person found this helpful. I’m using the book mostly for self-study and have found it very useful. I also have Hatcher’s book, which has fantastic examples and pictures, but I prefer Rotman’s style for definitions and results. Rotman takes the time to carefully develop the tolology of category theory so that definitions and results can be couched in this language.
This is great as a first algebraic topology book. He writes very clearly and provides ample details for those unfamiliar with abstract nonsense. Those already familiar with diagram chasing will probably want to skip the thoroughly explained diagram chases. My only complaint is that the exercises are too easy.
Most of them are definition pushing and routine verifications. I do think that such exercises are necessary to become familiar with the basic definitions and notions. However, it is only after slaving over some challenging problems for a few hours that the student is able to fully assimilate the material.
That being said, this book would be ideal to accompany a course. Each text that I have read by Rotman is logically sound, well thought out, there are ample explanations, exercises as well as examples, and moreover, Rotman does an excellent job proving results.
Sure he leaves the reader to prove certain results but, in general, all major concepts he will prove or, when it comes to familiar sticking points for students, Rotman will show that reader how to effectively prove these introductoin of results. Now, Algebraic Topologyy is not an easy subject actually it is a beautiful and far-reaching subject and, depending upon the authors approach, the level of ‘mathematical’ maturity required can quickly escalate.
Rotman’s text is introduchion above middle of the road with respect to this t and undefined notion-‘mathematical maturity’.
Not as far-off as Spanier and not quite as gentle as Hatcher. For the reader who has this maturity or the necessary background, then Rotman’s text is a must read provided introductjon enjoy texts that follow the theorem-proof-theorem format.
Furthermore, the logical consistecny with respect to how and when material is present to the reader places this text in a league of it’s own. Without a doubt I could imagine any beginning graduate student or confident undergradute tackling this text on their own. For example, I am no math wizard but with only a background consisting of point-set topology with an introduction to the Fundamental Group, Abstract Algebra Hungerford style and Analysis Rudin style I was able to begin reading and, in particular, solving problems from Rotman’s text while a senior undergraduate.
For those of you who would like to learn the subject and learn it introcuction but who are scared of this text Springer can do that to people I wouls strongly recommend pairing this text with Allen Hatchers or Part II of James Munkres’ text depending on your level of enjoyment with respect to suffering your way algebeaic texts.
In fact, Altebraic would suggest reading Munkres in its entirety since, this approach would properly prepare your for Rotman’s text and the transition would be seamless.
Finally, if, while reading this text you find yourself feeling lost during the initial chapters due to the use of Category Theory, I would suggest pushing forward and not becoming too hung up on acquirring a aogebraic understanding. Things will make more sense as you inttoduction through the later chapters. Enjoy and good luck! I must have fell asleep at the wheel when aiming for the stars.
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