Perhaps the most famous example of how ideas from modern physics
have revolutionized mathematics is the way string theory has led to
an overhaul of enumerative geometry, an area of mathematics that
started in the eighteen hundreds. Century-old problems of
enumerating geometric configurations have now been solved using new
and deep mathematical techniques inspired by physics!The book
begins with an insightful introduction to enumerative geometry.
From there, the goal becomes explaining the more advanced elements
of enumerative algebraic geometry. Along the way, there are some
crash courses on intermediate topics which are essential tools for
the student of modern mathematics, such as cohomology and other
topics in geometry. The physics content assumes nothing beyond a
first undergraduate course. The focus is on explaining the action
principle in physics, the idea of string theory, and how these
directly lead to questions in geometry. Once these topics are in
place, the connection between physics and enumerative geometry is
made with the introduction of topological quantum field theory and
quantum cohomology.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
Student Mathematical Library |
Release date: |
April 2006 |
Authors: |
Sheldon Katz
|
Dimensions: |
151 x 215 x 12mm (L x W x T) |
Format: |
Paperback
|
Pages: |
206 |
ISBN-13: |
978-0-8218-3687-3 |
Categories: |
Books
Promotions
|
LSN: |
0-8218-3687-0 |
Barcode: |
9780821836873 |
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