Skip to main content
  • Textbook
  • © 1997

A First Course in Geometric Topology and Differential Geometry

Birkhäuser

Authors:

Part of the book series: Modern Birkhäuser Classics (MBC)

Buy it now

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 89.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiii
  2. Topology of Subsets of Euclidean Space

    • Ethan D. Bloch
    Pages 1-46
  3. Topological Surfaces

    • Ethan D. Bloch
    Pages 47-109
  4. Simplicial Surfaces

    • Ethan D. Bloch
    Pages 110-166
  5. Curves in ℝ3

    • Ethan D. Bloch
    Pages 167-201
  6. Smooth Surfaces

    • Ethan D. Bloch
    Pages 202-269
  7. Curvature of Smooth Surfaces

    • Ethan D. Bloch
    Pages 270-308
  8. Geodesics

    • Ethan D. Bloch
    Pages 309-327
  9. The Gauss-Bonnet Theorem

    • Ethan D. Bloch
    Pages 328-380
  10. Back Matter

    Pages 381-421

Reviews

"[The author] avoids aimless wandering among the topics by explicitly heading towards milestone theorems... [His] directed path through these topics should make an effective course on the mathematics of surfaces. The exercises and hints are well chosen to clarify the central threads rather than diverting into byways."

- Computing Reviews

"Many examples and illustrations as well as exercises and hints to solutions are providing great support... By well-placed appendices the reader is relieved of the strain to immediately understand some extensive proofs or to learn adjoining mathematical facts… The book is suitable for students of mathematics, physics and of the teaching profession as well as university teachers who might be interested in using certain chapters...to present the topic in a seminar or in not too advanced special lectures about the topic...It is the great clarity of thought in this book, the simplicity and concreteness of the representation with respect to the capacity for teaching of students, and some other aspects that make this work stand out from comparable efforts."

- ZAA

"The exposition is clear, nicely organized, and generally easy to read." ---Zentralblatt Math

Authors and Affiliations

  • Department of Natural Sciences and Mathematics, Bard College, Annandale, USA

    Ethan D. Bloch

Bibliographic Information

  • Book Title: A First Course in Geometric Topology and Differential Geometry

  • Authors: Ethan D. Bloch

  • Series Title: Modern Birkhäuser Classics

  • DOI: https://doi.org/10.1007/978-0-8176-8122-7

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1997

  • Hardcover ISBN: 978-0-8176-3840-5Published: 01 December 1996

  • eBook ISBN: 978-0-8176-8122-7Published: 27 June 2011

  • Series ISSN: 2197-1803

  • Series E-ISSN: 2197-1811

  • Edition Number: 1

  • Number of Pages: XII, 421

  • Topics: Geometry, Differential Geometry, Topology

Buy it now

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 89.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access