Naive set theory (The University series in undergraduate mathematics)
| Author | : | |
| Rating | : | 4.14 (732 Votes) |
| Asin | : | B0007FR8J4 |
| Format Type | : | paperback |
| Number of Pages | : | 104 Pages |
| Publish Date | : | 0000-00-00 |
| Language | : | English |
DESCRIPTION:
The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. This book contains my answer to that question. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The purpose of the book is to tell the beginning student of advanced mathematics the basic set theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some
Mathematical writing at its best A Customer Oh, to be able to write like Paul Halmos!This is, quite simply, a beautiful book. Halmos has taken a field, wrapped his deep understanding around it, and brought the field forth into light in a way that it is accessible to any reader willing to invest the requisite effort, regardless of mathematical background.Each word is carefu. Not worth the price A student I already knew the main results of this book, but wanted to see how they related to each other and how the proofs went. However after finishing it I have to agree with the reader from Paolo Alto, this book is severely overrated.Halmos is reputed to be a master expositor, but this book fails to meet basic levels of clarity and dir. Lester Kim said This book is ok but not that great. Pros:1. This book is pretty concise and I appreciate the author's effort to only keep the essentials of naive set theory."This book is ok but not that great" according to Lester Kim. Pros:1. This book is pretty concise and I appreciate the author's effort to only keep the essentials of naive set theory.2. I like the presentation. There is a pretty smooth gradient in the increasing complexity of the topics.This book is ok but not that great Pros:1. This book is pretty concise and I appreciate the author's effort to only keep the essentials of naive set theory.2. I like the presentation. There is a pretty smooth gradient in the increasing complexity of the topics.3. This is a good introduction to more abstract mathematics. I used the first third of this book for a ma. . This is a good introduction to more abstract mathematics. I used the first third of this book for a ma. . I like the presentation. There is a pretty smooth gradient in the increasing complexity of the topics.This book is ok but not that great Pros:1. This book is pretty concise and I appreciate the author's effort to only keep the essentials of naive set theory.2. I like the presentation. There is a pretty smooth gradient in the increasing complexity of the topics.3. This is a good introduction to more abstract mathematics. I used the first third of this book for a ma. . This is a good introduction to more abstract mathematics. I used the first third of this book for a ma
It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. From the reviews:“This book is a very specialized but broadly useful introduction to set theory. It is aimed at ‘the beginning student of advanced mathematics’ … who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. … A good reference for how set theory is used in other parts of mathematics … .” (Allen Stenger, The Mathematical Association of America, September, 2011)