A Taste of Topology (Universitext)

4 avg rating
( 6 ratings by Goodreads )
 
9780387257907: A Taste of Topology (Universitext)
View all copies of this ISBN edition:
 
 

This should be a revelation for mathematics undergraduates. Having evolved from Runde’s notes for an introductory topology course at the University of Alberta, this essential text provides a concise introduction to set-theoretic topology, as well as some algebraic topology. It is accessible to undergraduates from the second year on, and even beginning graduate students can benefit from some sections. The well-chosen selection of examples is accessible to students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In places, Runde’s text treats its material differently to other books on the subject, providing a fresh perspective.

"synopsis" may belong to another edition of this title.

From the Back Cover:

If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language.

The present book grew out of notes for an introductory topology course at the University of Alberta. It provides a concise introduction to set-theoretic topology (and to a tiny little bit of algebraic topology). It is accessible to undergraduates from the second year on, but even beginning graduate students can benefit from some parts.

Great care has been devoted to the selection of examples that are not self-serving, but already accessible for students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis.

In some points, the book treats its material differently than other texts on the subject:

* Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem;

* Nets are used extensively, in particular for an intuitive proof of  Tychonoff's theorem;

* A short and elegant, but little known proof for the Stone-Weierstrass theorem is given.

Review:

From the reviews:

"This is an introduction to set-theoretic topology ... . Each section of each chapter ends with exercises and each chapter has a section with remarks of a historical nature and suggestions for further reading. I consider this ‘Taste of Topology’ an interesting universitext that will make the appetite of the students grow during the years." (Corina Mohorianu, Zentralblatt MATH, Vol. 1079, 2006)

"The intention of ‘A Taste of Topology’ is to provide a first introduction to topology for students ... in calculus and basic algebra. ... Each chapter contains well-chosen examples and exercises and concludes with historical remarks. The presentation is based on nets instead of filters throughout, certainly to the advantage of the beginner in the field. Several novel approaches to standard material ... round off the picture of a welcome and timely addition to the introductory literature on topology." (M. Kunzinger, Monatshefte für Mathematik, Vol. 150 (3), 2007)

"The book is an introductory text for a study of topology. In general, the book is oriented to second-year undergraduates. It presents the basic language used in various fields of modern mathematics. The book covers classical topics of topology. ... The text also presents several non-typical approaches to various topics. ... The book is also a source of exercise on basic topological notions." (EMS Newsletter, September, 2006)

 

"...Runde does something very interesting and, I think, very useful, in the book under review: he explicitly plays down what accordingly might to the beginner appear synthetic and artificial, and plays up material which resonates with other, already familiar, mathematical notions from, for example, analysis; and he goes well beyond what is ordinarily found in a first topology course. ..The highlight of this presentation is the proof of the equivalence of having a normed space be finite dimensional, of having its closed unit ball be compact, and of having each closed and bounded subset be compact. Appearing at the end of the book in the form of an appendix this elegant characterization is a nice encore to what came before... A Taste of Topology is also rich in exercises of varying degrees of difficulty and contains excellent historical material, primarily contained in the sections labeled "Remarks" at the ends of all chapters...Manifestly Runde possesses the gifts of understatement and a light touch which contributes substantially to the book’s readability... I will now amplify this by noting that I intend to use Runde’s A Taste of Topology as the main textbook...I highly recommend the book." [Michael Berg; posted to MAA Reviews 12/1/2005]

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Volker Runde
Published by Springer (2005)
ISBN 10: 038725790X ISBN 13: 9780387257907
New Quantity Available: > 20
Print on Demand
Seller:
Paperbackshop-US
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer, 2005. PAP. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9780387257907

More information about this seller | Contact this seller

Buy New
US$ 44.03
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

2.

Volker Runde
Published by Springer-Verlag New York Inc., United States (2007)
ISBN 10: 038725790X ISBN 13: 9780387257907
New Paperback Quantity Available: 10
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2007. Paperback. Condition: New. 1st ed. 2005. Corr. 2nd printing 2007. Language: English. Brand new Book. This should be a revelation for mathematics undergraduates. Having evolved from Runde's notes for an introductory topology course at the University of Alberta, this essential text provides a concise introduction to set-theoretic topology, as well as some algebraic topology. It is accessible to undergraduates from the second year on, and even beginning graduate students can benefit from some sections. The well-chosen selection of examples is accessible to students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In places, Runde's text treats its material differently to other books on the subject, providing a fresh perspective. Seller Inventory # AAV9780387257907

More information about this seller | Contact this seller

Buy New
US$ 51.27
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds

3.

Volker Runde
Published by Springer-Verlag New York Inc., United States (2007)
ISBN 10: 038725790X ISBN 13: 9780387257907
New Paperback Quantity Available: 10
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2007. Paperback. Condition: New. 1st ed. 2005. Corr. 2nd printing 2007. Language: English. Brand new Book. This should be a revelation for mathematics undergraduates. Having evolved from Runde's notes for an introductory topology course at the University of Alberta, this essential text provides a concise introduction to set-theoretic topology, as well as some algebraic topology. It is accessible to undergraduates from the second year on, and even beginning graduate students can benefit from some sections. The well-chosen selection of examples is accessible to students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In places, Runde's text treats its material differently to other books on the subject, providing a fresh perspective. Seller Inventory # AAV9780387257907

More information about this seller | Contact this seller

Buy New
US$ 51.89
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds

4.

Runde, Volker
Published by Springer (2016)
ISBN 10: 038725790X ISBN 13: 9780387257907
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Springer, 2016. Paperback. Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Seller Inventory # ria9780387257907_lsuk

More information about this seller | Contact this seller

Buy New
US$ 47.79
Convert currency

Add to Basket

Shipping: US$ 4.94
From United Kingdom to U.S.A.
Destination, rates & speeds

5.

Volker Runde
Published by Springer (2005)
ISBN 10: 038725790X ISBN 13: 9780387257907
New Paperback Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Springer, 2005. Paperback. Condition: New. Seller Inventory # DADAX038725790X

More information about this seller | Contact this seller

Buy New
US$ 50.39
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

6.

Runde Volker
Published by Springer
ISBN 10: 038725790X ISBN 13: 9780387257907
New Quantity Available: 1
Seller:
Majestic Books
(London, ,, United Kingdom)
Rating
[?]

Book Description Springer. Condition: New. pp. x + 182. Seller Inventory # 7602087

More information about this seller | Contact this seller

Buy New
US$ 47.73
Convert currency

Add to Basket

Shipping: US$ 7.02
From United Kingdom to U.S.A.
Destination, rates & speeds

7.

Runde, Volker
Published by Springer-Verlag New York Inc. (2007)
ISBN 10: 038725790X ISBN 13: 9780387257907
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., 2007. PAP. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # LQ-9780387257907

More information about this seller | Contact this seller

Buy New
US$ 43.72
Convert currency

Add to Basket

Shipping: US$ 11.49
From United Kingdom to U.S.A.
Destination, rates & speeds

8.

VOLKER RUNDE
Published by Springer (2005)
ISBN 10: 038725790X ISBN 13: 9780387257907
New Paperback Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Springer, 2005. Paperback. Condition: NEW. 9780387257907 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE0272456

More information about this seller | Contact this seller

Buy New
US$ 46.02
Convert currency

Add to Basket

Shipping: US$ 10.19
From United Kingdom to U.S.A.
Destination, rates & speeds

9.

Runde, Volker
Published by Springer 12/7/2007 (2007)
ISBN 10: 038725790X ISBN 13: 9780387257907
New Paperback or Softback Quantity Available: 10
Seller:
BargainBookStores
(Grand Rapids, MI, U.S.A.)
Rating
[?]

Book Description Springer 12/7/2007, 2007. Paperback or Softback. Condition: New. A Taste of Topology. Book. Seller Inventory # BBS-9780387257907

More information about this seller | Contact this seller

Buy New
US$ 57.19
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

10.

Runde, Volker
Published by Springer (2018)
ISBN 10: 038725790X ISBN 13: 9780387257907
New Paperback Quantity Available: 18
Print on Demand
Seller:
Murray Media
(NORTH MIAMI BEACH, FL, U.S.A.)
Rating
[?]

Book Description Springer, 2018. Paperback. Condition: New. Never used! This item is printed on demand. Seller Inventory # 038725790X

More information about this seller | Contact this seller

Buy New
US$ 58.24
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

There are more copies of this book

View all search results for this book