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Topics in Group Theory, Smith & Tabachnikova Springer Undergraduate Math Series
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- Vrijwel nieuw
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- ISBN
- 9781852332358
Over dit product
Product Identifiers
Publisher
Springer London, The Limited
ISBN-10
1852332352
ISBN-13
9781852332358
eBay Product ID (ePID)
1712320
Product Key Features
Number of Pages
Xvi, 256 Pages
Language
English
Publication Name
Topics in Group Theory
Subject
Group Theory, Algebra / Abstract, Algebra / General
Publication Year
2000
Type
Textbook
Subject Area
Mathematics
Series
Springer Undergraduate Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.3 in
Item Weight
37.4 Oz
Item Length
10 in
Item Width
7 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
00-037333
Reviews
"The authors succeed to simplify a number of standard proofs through fresh elementary arguments. Very lucid writing provides the reader with reasons for performing every step in the proofs. ... reading the book was a delight ... To summarize: this is one of the best texts in mathematics I got my hands on." (M.Deaconescu, zbMATH 0953.20001, 2021)
Dewey Edition
21
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
512/.2
Table Of Content
1. The Elements.- 2. Structure.- 3. Action.- 4. Entertainments.- 5. Law.- 6. Presentations.- 7. Appendix A: Fields.- 8. Appendix B: Relations and Orderings.- Further Reading.- Solutions.
Synopsis
This book reviews the essentials of group theory. It recaps all the basic definitions and results. The author's informal style and irreverent approach has proved popular with students and lecturers alike: his book Introductory Mathematics: Algebra and Analysis is one of SUMS' best-selling titles., We very much hope that this book will be read by the interested student (and not just be parked on a shelf for occasional consultation). If you want a comprehensive reference book on Group Theory, do not buy this text. There are much better books available, some of which are mentioned below. We have a tale to tell; the absolute essentials of the theory of groups, followed by some entertainments and some more advanced material. The theory of groups is an enormous body of material which interacts with other branches of mathematics at countless frontiers. Some parts of the theory are essentially complete, but in other areas all we see are questions. People happily read novels, so why not mathematics books? When math- ematics was studied by only a few people, there was less need to try to write attractively or encouragingly since the likely readership consisted of a small group of highly motivated individuals who needed little encouragement. Even so, many talented academic writers managed to write brilliantly because they knew no other way. As higher education has opened up in economically devel- oped countries, a much more diverse collection of people is exploring advanced mathematics and science. The challenge for authors is to produce books which engage this wider community without compromising the content., The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed to support a reader engaged in a first serious group theory course, or a mathematically mature reader approaching the subject for the first time, this book reviews the essentials. It recaps the basic definitions and results, up to and including Lagrange's Theorem, and then continues to explore topics such as the isomorphism theorems and group actions. Later chapters include material on chain conditions and finiteness conditions, free groups and the theory of presentations. In addition, a novel chapter of "entertainments" takes the basic theory and plays with it to obtain an assortment of results that will show a little of what can be done with the theoretical machinery. Adopting the slightly irreverent tone of Geoff Smith's previous book, Introductory Mathematics: Algebra and Analysis, this book is a key reference that will both stimulate and entertain its readers., We very much hope that this book will be read by the interested student (and not just be parked on a shelf for occasional consultation). If you want a comprehensive reference book on Group Theory, do not buy this text. There are much better books available, some of which are mentioned below. We have a tale to tell; the absolute essentials of the theory of groups, followed by some entertainments and some more advanced material. The theory of groups is an enormous body of material which interacts with other branches of mathematics at countless frontiers. Some parts of the theory are essentially complete, but in other areas all we see are questions. People happily read novels, so why not mathematics books? When math ematics was studied by only a few people, there was less need to try to write attractively or encouragingly since the likely readership consisted of a small group of highly motivated individuals who needed little encouragement. Even so, many talented academic writers managed to write brilliantly because they knew no other way. As higher education has opened up in economically devel oped countries, a much more diverse collection of people is exploring advanced mathematics and science. The challenge for authors is to produce books which engage this wider community without compromising the content., We very much hope that this book will be read by the interested student (and not just be parked on a shelf for occasional consultation). If you want a comprehensive reference book on Group Theory, do not buy this text. There are much better books available, some of which are mentioned below. We have a tale to tell; the absolute essentials of the theory of groups, followed by some entertainments and some more advanced material. The theory of groups is an enormous body of material which interacts with other branches of mathematics at countless frontiers. Some parts of the theory are essentially complete, but in other areas all we see are questions. People happily read novels, so why not mathematics books? When math ematics was studied by only a few people, there was less need to try to write attractively or encouragingly since the likely readership consisted of a small group of highly motivated individuals who needed little encouragement. Even so, many talented academic writers managedto write brilliantly because they knew no other way. As higher education has opened up in economically devel oped countries, a much more diverse collection of people is exploring advanced mathematics and science. The challenge for authors is to produce books which engage this wider community without compromising the content.
LC Classification Number
QA150-272
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