A History of Algebraic and Differential Topology, 1900 - 1960
A History of Algebraic and Differential Topology, 1900 - 1960 (Modern Birkhäuser Classics)
Jean Dieudonné,
Publisher: Birkhäuser Boston
ISBN: 0817649069
DDC: 500
Edition: Paperback; 2009-06-09
Summary:
Since the early part of the 20th century, topology has gradually
spread to many other branches of mathematics, and this book
demonstrates how the subject continues to play a central role in the
field. Written by a world-renowned mathematician, this classic text
traces the history of algebraic topology beginning with its creation
in the early 1900s and describes in detail the important theories
that were discovered before 1960. Through the work of Poincaré, de
Rham, Cartan, Hureqicz, and many others, this historical book also
focuses on the emergence of new ideas and methods that have led
21st-century mathematicians towards new research directions. “This
book is a well-informed and detailed analysis of the problems and
development of algebraic topology, from Poincaré and Brouwer to
Serre, Adams, and Thom. The author has examined each significant
paper along this route and describes the steps and strategy of its
proofs and its relation to other work. Previously, the history of the
many technical developments of 20th-century mathematics had seemed to
present insuperable obstacles to scholarship. This book demonstrates
in the case of topology how these obstacles can be overcome, with
enlightening results.... Within its chosen boundaries the coverage of
this book is superb. Read it!” (MathSciNet) “[The author] traces the
development of algebraic and differential topology from the
innovative work by Poincaré at the turn of the century to the period
around 1960. [He] has given a superb account of the growth of these
fields.… The details are interwoven with the narrative in a very
pleasant fashion.… [The author] has previous written histories of
functional analysis and of algebraic geometry, but neither book was
on such a grand scale as this one. He has made it possible to trace
the important steps in the growth of algebraic and differential
topology, and to admire the hard work and major advances made by the
founders.” (Zentralblatt MATH)
Click on a subject to see other books listed with the same
subject or to drill down into components of the subject -- such as
geographical locations, dates and so on.
We query many merchants so that you can instantly
compare prices and
availability. You can even check historic prices and subscribe
for notifications. For a manual check, clicking on a link will open a
new window with a search for this book on the merchant's site of your
choice.
