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Jacobi

  • Jeremy GrayEmail author
Chapter
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

In this chapter we look at the life of Jacobi, and indicate some of the key properties of elliptic functions that he discovered by taking a different route to Abel. Then we look at how he published his work, the correspondence with Legendre, and his major book the Fundamenta nova of 1829. As we shall see, Jacobi also found important and entirely new applications of elliptic function theory to number theory and to geometry.

Keywords

Power Series Elliptic Function Theta Function Complex Integral Infinite Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsThe Open UniversityMilton KeynesUK
  2. 2.University of WarwickCoventryUK

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