Enumerative Geometry and String Theory by Sheldon Katz
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.-
An Introduction to the Circle Method
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Matrix Models for Population, Disease, and Evolutionary Dynamics
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Analytic Number Theory for Beginners
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Codes and Curves
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Glimpses of Soliton Theory
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Differential Geometry
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Extremal Problems for Finite Sets
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Differential Geometry of Plane Curves
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A First Course in the Calculus of Variations
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A Conversational Introduction to Algebraic Number Theory
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Billiards, Surfaces, and Geometry
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An Introduction to Lie Groups and the Geometry of Homogeneous Spaces
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Transformation Groups for Beginners
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The Game of Cops and Robbers on Graphs
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Invitation to Ergodic Theory
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The Joy of Factoring
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Lectures on Surfaces
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Plane Algebraic Curves
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The Game's Afoot!
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Mathematical Modelling
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Matrix Groups for Undergraduates
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Finite Fields, with Applications to Combinatorics
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Knots, Links and Their Invariants
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Hilbert's Tenth Problem
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Number Theory in the Spirit of Ramanujan
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Basic Set Theory
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Lectures on Generating Functions
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Frames for Undergraduates
| SKU | Unavailable |
| ISBN 13 | 9780821836873 |
| ISBN 10 | 0821836870 |
| Title | Enumerative Geometry and String Theory |
| Author | Sheldon Katz |
| Series | Student Mathematical Library |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 2006-04-30 |
| Number of pages | 206 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |