Katz, Sheldon
Enumerative Geometry and String Theory - Providence American Mathematical Society 2006 - xiii, 206p. - Student Mathematical Library IAS/Park City Mathematics Subseries 32 .
Includes Bibliography (197-200) and Index
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.
9780821887301 (PB)
String models
Enumerative Geometry
516.3 / KATZ
Enumerative Geometry and String Theory - Providence American Mathematical Society 2006 - xiii, 206p. - Student Mathematical Library IAS/Park City Mathematics Subseries 32 .
Includes Bibliography (197-200) and Index
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.
9780821887301 (PB)
String models
Enumerative Geometry
516.3 / KATZ