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Undergraduate Topology ePub download

by Robert Herman Kasriel

  • Author: Robert Herman Kasriel
  • ISBN: 0882754440
  • ISBN13: 978-0882754444
  • ePub: 1901 kb | FB2: 1923 kb
  • Language: English
  • Category: Mathematics
  • Publisher: Krieger Pub Co (June 1, 1977)
  • Pages: 285
  • Rating: 4.5/5
  • Votes: 527
  • Format: lrf mobi rtf doc
Undergraduate Topology ePub download

A specialist in topology, Robert H. Kasriel (1918–2007) was a Professor of Mathematics at Georgia Tech for more than 30 years. I bought this as a supplemental book for my undergraduate intro to topology course. It's really helped me with definitions.

A specialist in topology, Robert H. The other book I have (McCleary's, if you're interested) has the technical definitions, while this book includes definitions that describe what is actually happening.

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General topology offers a valuable tool to students of mathematics, particularly in courses involving complex, real, and functional analysis. A Classic Work in Topology for The Undergraduate and Me, the Amateur! By Thriftbooks. com User, December 29, 2009. Dear Readers Author has taken great pains and made great efforts to "push" the student along with a plethora of examples and homework problems, while at the same time plowing forward on the trail to the great generalization of non-metrizability.

Robert Herman Kasriel has written: 'Undergraduate topology' - subject(s): Topology. Robert Herman has written: 'Anciens outils de la vigne et tonnellerie'. What has the author Herman Robert Shepherd written? Herman Robert Shepherd has written: 'Aerosols'. What has the author Robert Herman Messerman written? Robert Herman Messerman has written: 'Image perceptions'. What has the author Robert Herman written? Robert Herman has written: 'Anciens outils de la vigne et tonnellerie'. What has the author Robert Packard written?

General topology offers a valuable tool to students of mathematics, particularly in such courses as complex, real, and functional analysis. This introductory treatment is essentially self-contained and features explanations and proofs that relate to every practical aspect of point set topology. Hundreds of exercises appear throughout the text.

Book:Robert H. e Topology. Robert H. Kasriel: Undergraduate Topology.

Undergraduate Topology. By: Robert H. Kasriel. Nearly every one of the 112 sections in this book concludes with a set of exercises that reinforce materials already covered and prepare students for subsequent chapters. Usually ships in 24 to 48 hours.

Find nearly any book by Robert H. Get the best deal by comparing prices from over 100,000 booksellers. Kasriel (Kasriel, Robert . used books, rare books and new books. Find all books by 'Robert H. Kasriel' and compare prices Find signed collectible books by 'Robert H. Kasriel'. Undergraduate Topology (Dover Books on Mathematics). by Robert H. ISBN 9780486474199 (978-0-486-47419-9) Softcover, Dover Publications, 2009.

Undergraduate topology (by Kasriel, Robert Herman. Unoriented bordism and actions of finite groups, (by Stong, Robert . 80. 1970. Unraveling the integral knot concordance group. by Stoltzfus, Neal . 1946

Undergraduate Topology. Publisher: Dover Publications. Publication Date: 2009. Dummy View - NOT TO BE DELETED.

Cordanara
The point-set topology in this 1971 book is concrete and down-to-Earth. It presents every basic concept in topology and metric spaces without over-abstraction. There are no "uniformities" here as you will find in some of the more fashionable modern topology books. It's just topology and metric spaces, pure and simple.

After the first two chapters, on set theory and real Cartesian spaces, there are 3 chapters on metric spaces followed by 6 chapters on general topological spaces. Personally I prefer to present general topology before metric spaces, but in an undergraduate introduction, it's much better to present the more intuitively clear metric spaces before general topology, which is the order adopted in this book.

For general topological spaces, this book presents separation classes first (like Hausdorff), then separability classes (like second countable), then compactness, then connectedness, and finally quotient and product space constructions. These are the standard things which everyone needs to know, all presented in a straightforward way without any attempt to make the student suffer.

The three metric space chapters are likewise straightforward and rationally presented, first convergence and continuity, then Bolzano-Weierstrass, compactness and completeness, then a few infinite-dimensional example spaces.

Just leafing through this book for these comments, I can't find any topic presented by Kasriel which is not useful in applications to analysis and differential geometry. It's a very pleasant presentation of many, many basic theorems with proofs, all of the necessary definitions, a logical progression of concepts, and everything made intuitively clear. It's an ideal preparation for all of the abstract obfuscated topology books out there, and a great refuge to return to when other books become too painful.
Nikohn
Finish first five chapters of this book, then you have no problem to deal with the abstraction level of advanced calculus. It has all the topology needed for advanced calculus and more. If you want to continue to real analysis, finish the rest of this book first. It's a pity that no answers for exercises of this book, but since most of the exercises are not very hard (of course there are hard ones), so this is not a big issue for self-teaching. Just think it through until you get most of the answers.
Perdana
I bought this as a supplemental book for my undergraduate intro to topology course. It's really helped me with definitions. The other book I have (McCleary's, if you're interested) has the technical definitions, while this book includes definitions that describe what is actually happening.
Brazil
Dear Readers

Author has taken great pains and made great efforts to "push" the student along with a plethora of examples and homework problems, while at the same time plowing forward on the trail to the great generalization of non-metrizability.

Those "nasty" collections of open sets each with their nasty collection of "interior points". A concept( interior point ) that took me forty years to understand. Once you understand the concept of open set and interior point the whole thing begins to "fall into place".

Then there's that nasty concept of "point of accumulation".( if its tough see Courant vol. 1 Courant is really a master at demonstarating this). Again, all is explained in this book by Kasriel with ample examples and homework questions abounding.

The book is of great sentimental value to me.
It was my first book in Topology.

More later.

With Best Regards

Southern Jameson West
Made-with-Love
Having taken all of real analysis, complex analysis, and topology in a row, I have found that using outside references is key in a complete understanding of the given subject. This book has been my savior through each of those classes. His explanations and proofs are extremely helpful and he touches on every useful aspect of point set topology. The book is rather thin, and I would have hoped for additional sections on the product topology, but all the material he does cover, he covers well. This is a book you should definitely add to your mathematics collection.
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