Lawden, Elliptic Functions and Applications

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SUMMARY

The discussion centers on the textbook "Lawden, Elliptic Functions and Applications," which is currently available for $169.99. This comprehensive resource covers all aspects of elliptic functions, including theta functions, Jacobi’s elliptic functions, and their applications in geometry and physics. The book includes practical examples and a variety of appendices, such as Fourier series and BASIC programs for elliptic integral reduction. Additionally, 20% of the proceeds are donated to the American Physical Society to support education and science advocacy.

PREREQUISITES
  • Understanding of elliptic functions and their properties
  • Familiarity with complex variable analysis
  • Knowledge of modular transformations
  • Basic programming skills in BASIC for computational applications
NEXT STEPS
  • Research the applications of Jacobi’s elliptic functions in physics
  • Explore the use of Fourier series in periodic analytic functions
  • Learn about modular transformations in the context of elliptic functions
  • Study the computational techniques for reducing elliptic integrals to standard form
USEFUL FOR

This discussion is beneficial for mathematicians, physicists, and educators interested in elliptic functions, as well as students seeking a comprehensive resource for advanced mathematical concepts and applications.

marcusl
Science Advisor
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Book Title
Elliptic Functions and Applications
Book Author/s
Lawden
Book Publication Date
1989
Book Price
55
Book Condition
5.00 star(s)
Shipping to
  1. North America
Shipping Costs Paid By
Hardcover. Wonderful textbook, still in print and available for $169.99, covers all aspects of elliptic functions with many physical examples. No markings except for a small name stamp on the flyleaf. Color on spine has faded.

Table of Contents​

1 Theta Functions.- 2 Jacobi’s Elliptic Functions.- 3 Elliptic Integrals.- 4 Geometrical Applications.- 5 Physical Applications.- 6 Weierstrass’s Elliptic Function.- 7 Applications of the Weierstrass Functions.- 8 Complex Variable Analysis.- 9 Modular Transformations..- Appendix A Fourier Series for a Periodic Analytic Function.- Appendix B Calculation of a Definite Integral.- Appendix C BASIC Program for Reduction of Elliptic Integral to Standard Form.- Appendix D Computation of Tables.- Table A. Theta Functions.- Table B. Nome and Complete Integrals of the First and Second Kinds as Functions of the Squared Modulus.- Table D. Legendre’s Incomplete Integrals of First and Second Kinds.- Table E. Jacobi’s Zeta and Epsilon Functions.- Table F. Sigma Functions.

20% of proceeds will be donated to APS (American Physical Society) funds for education and science advocacy.
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