Lecture Notes in Mathematics

Differential Geometry in the Large

Seminar Lectures New York University 1946 and Stanford University 1956

Authors: Hopf, Heinz

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About this book

These notes consist of two parts: Selected in York 1) Geometry, New 1946, Topics University Notes Peter Lax. by Differential in the 2) Lectures on Stanford Geometry Large, 1956, Notes J.W. University by Gray. are here with no essential They reproduced change. Heinz was a mathematician who mathema- Hopf recognized important tical ideas and new mathematical cases. In the phenomena through special the central idea the of a or difficulty problem simplest background is becomes clear. in this fashion a crystal Doing geometry usually lead serious allows this to to - joy. Hopf's great insight approach for most of the in these notes have become the st- thematics, topics I will to mention a of further try ting-points important developments. few. It is clear from these notes that laid the on Hopf emphasis po- differential Most of the results in smooth differ- hedral geometry. whose is both t1al have understanding geometry polyhedral counterparts, works I wish to mention and recent important challenging. Among those of Robert on which is much in the Connelly rigidity, very spirit R. and in - of these notes (cf. Connelly, Conjectures questions open International of Mathematicians, H- of gidity, Proceedings Congress sinki vol. 1, 407-414) 1978, .

Table of contents (14 chapters)

  • The Euler Characteristic and Related Topics

    Hopf, Heinz

    Pages 3-29

  • Selected Topics in Elementary Differential Geometry

    Hopf, Heinz

    Pages 30-46

  • The Isoperimetric Inequality and Related Inequalities

    Hopf, Heinz

    Pages 47-57

  • The Elementary Concept of Area and Volume

    Hopf, Heinz

    Pages 58-75

  • Introduction

    Hopf, Heinz

    Pages 81-81

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-540-39482-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-540-51497-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Differential Geometry in the Large
Book Subtitle
Seminar Lectures New York University 1946 and Stanford University 1956
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1000
Copyright
1989
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-39482-2
DOI
10.1007/3-540-39482-6
Softcover ISBN
978-3-540-51497-8
Series ISSN
0075-8434
Edition Number
2
Number of Pages
VIII, 192
Topics