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eBook Principles of Topology epub

by Fred H. Croom

eBook Principles of Topology epub
  • ISBN: 9812432884
  • Author: Fred H. Croom
  • Genre: Science
  • Subcategory: Mathematics
  • Language: English
  • Publisher: Cengage Learning Asia; 1 edition (August 31, 2002)
  • Pages: 324 pages
  • ePUB size: 1730 kb
  • FB2 size 1853 kb
  • Formats docx mobi txt lrf


Croom includes historical discussions of the foundations of topology, which is also helpful

Croom includes historical discussions of the foundations of topology, which is also helpful. He also includes a glossary of mathematical symbols up front, which is very helpful for trying to keep track of all the new notations involved.

Fred H. Croom is Professor of Mathematics at The University of the South, Sewanee, Tennessee. I would recommend Croom and Munkres to be the standard 2-book combination for topology from the undergraduate to graduate level. 3 people found this helpful.

This text presents the fundamental principles of topology rigorously but not abstractly. The usual topics of point-set topology, including metric spaces, general topological spaces, continuity, topological equivalence, basis, sub-basis, connectedness, compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces are treated in this text.

Topology is a natural, geometric, and intuitively appealing branch of. .See every Dover book in print atwww. Fred H.

Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics.

Principles of Topology - Fred H. Croom. In the years immediately following the appearance of Hausdorff’s book, point-set topology developed wide applicability. THE nature of topology. The word topology is derived from the Greek word "τόπος, which means position or location. The power of the subject is derived from its generality; from a few simple axioms and definitions one can deduce principles which apply to problems in real and complex analysis, differential equations, functional analysis, and other areas where the relations of points to sets and continuity of functions are important.

Principles of Topology. Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Close X. Learn about new offers and get more deals by joining our newsletter. by. Croom, Fred . 1941-. Books for People with Print Disabilities. Trent University Library Donation. Internet Archive Books. Uploaded by station24. cebu on August 31, 2019. SIMILAR ITEMS (based on metadata). Terms of Service (last updated 12/31/2014).

Topology Fred H. Croom The University of the South. This book contains many exercises of varying degrees of difficulty

Topology Fred H. Australia, Canada, Mexico. This book contains many exercises of varying degrees of difficulty. Most of the exercises provide practice in applying the material from each section or ask the reader to supply arguments either omitted from the text or given only in outline form.

Principles of Topology book. Topology is a natural, geometric, and intuitively appealing branch.

This text presents the fundamental principles of topology rigorously but not abstractly. It emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis. The usual topics of point-set topology, including metric spaces, general topological spaces, continuity, topological equivalence, basis, sub-basis, connectedness , compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces are treated in this text. Most of the factual information about topology presented in this text is stated in the theorems and illustrated in the accompanying examples, figures and exercises. This book contains many exercises of varying degrees of difficulty. The notation used in this text is reasonably standard; a list of symbols with definitions appears on the front end-sheets. This text is designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels. It is accessible to junior mathematics majors who have studied multivariable calculus.
Comments: (7)
นℕĨĈტℝ₦
I am a freshman undergraduate student and I have liked topology since high school. As soon as I got into college I knew I will take the topology course whenever they offer one. So my second semester, there was a topology course offered and since I did not have all the prereqs for it I talked to the teacher to get approved for the course.

Though I really liked the course and every class I found something fascinating, it was a bit hard to get my formal proofs done 100% correct. So I was looking for an additional aid to my textbook, which did not have too many proofs written on it. I came across this one and decided to order it together with some other ones.

The book is a nice introduction to point set topology for undergraduate level, however it did not satisfy my needs much, since the main purpose of my purchase was getting to see more formal proofs.

Overall, it is very engaging and well written and I would certainly recommend it to beginner topologists.
Dukinos
This book is for the senior undergraduate, beginning graduate student or the enthusiastic high schooler.
I found it to be written in a very clear lucid style. The book engaged me and drew me in.
It is about the same level as Munkres' text but more down to earth with no compromise on rigor.
It covers metric and topological spaces; connected sets and metrizable spaces (Urysohn's lemma).
I really like this text and at this level is probably the best book on topology
( and I have read a fair number of books on this subject).
Iraraeal
This book will teach you topology. It does an excellent job of rigorously covering the major topics while being very readable. I can tell you that I've downloaded pdf's of pretty much every topology textbook available and have still found this one to be the best. It's just a coincidence that it happens to be cheap and a nice paperback (it's nothing like dover's collection of terrible cheap translated textbooks). I would recommend Croom and Munkres to be the standard 2-book combination for topology from the undergraduate to graduate level.
Taur
I'm an adult, self-study student, with a background in calculus, physics. I've now gone through several books on topology, and I find that even many of the undergraduate texts tend to be a bit "dense," in that they introduce too much, too fast. Croom's textbook takes a very step-by-step, hand-holding approach to introducing topology, focusing on concrete examples, yet still having a reasonable amount of rigor. (Of nine chapters, he doesn't even formally get to topology until Chapter 4. The first three chapters are a general intro, open and closed sets, and metric spaces.) The last chapter offers a basic introduction to algebraic topology. This is an excellent book for self-study, and also good for undergraduates with a physics or engineering orientation who want to get the intuitive principles, and also some sense for the formal math. Students (including undergrads) who are really strong on abstract math might benefit from the more intensive and detailed treatments found in other texts; but even they might find Croom's book useful to fall back on when they get stuck on some basic concept. Croom includes historical discussions of the foundations of topology, which is also helpful. He also includes a glossary of mathematical symbols up front, which is very helpful for trying to keep track of all the new notations involved. There are lots of solved problems, and also problems for students to work out, although solutions for those would be helpful in some future edition.
Doriel
I taught a one semester course on basic point set topology out of this book. The emphasis in the first half is on metric spaces, which provide the most natural class of examples for the basic principles of point set topology that any student taking a course in topology must know about. There is little extraneous material, and I found that the students thought the book was very good. This was a group of students at a regional campus of a large state university, and I would recommend the book for a beginning course at a comparable campus. Those teaching at research institutions will want more.
Amerikan_Volga
I was very disappointed to see that this text is out of print. I would like to use this text for our topology topics course at USAFA. It pitches the subject at just the right level for the beginner in topolgy! Fabulous First Text! Does anyone know how I could get my hands on about 30 copies. OR know of one similar to this text which is still in print?
Oveley
I really like this book for a first course in topology. It has the right level and balance of subjects. The book has been very hard to find for a number of years but has now been republished by Thomson Learning in Singapore. The new ISBN is 981-243-288-4.
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