Elliptic Functions by Arthur Latham Baker
Elliptic Functions - Table of Contents
1. Elliptic Integrals
2. Elliptic Functions
3. Periodicity of the Functions
4. Landen’s Transformation
5. Complete Functions
6. Evaluation for ?
7. Development of Elliptic Functions into Factors
8. The T Function
9. The T and H Functions
10. Elliptic Integrals of the Second Order
11. Elliptic Integrals of the Third Order
12. Numerical Calculations. q
13. Numerical Calculations. K
14. Numerical Calculations. u
15. Numerical Calculations. ?
16. Numerical Calculations. E(k, ?)
17. Applications
What You Will Learn in Elliptic Functions
"Elliptic Functions: An Elementary Text-Book for Students of Mathematics" by Arthur Latham Baker is a classic textbook first published in 1890. It is designed for students of "mathematics", particularly those in engineering and physics, providing a clear and structured introduction to "elliptic functions". Baker emphasizes the historical development of the subject, tracing its evolution from Euler and Landen to the pioneering work of Jacobi and Abel. This approach gives readers both context and appreciation for the development of mathematical theory.
The textbook begins with an introduction to elliptic integrals and gradually explores the periodicity of elliptic functions, Landen’s transformation, and the factorization of elliptic functions. Baker also covers the "Jacobi elliptic functions", providing detailed explanations, worked examples, and practical applications. Numerical calculations and exercises throughout the book reinforce understanding, making complex concepts accessible to students and practitioners alike.
Renowned for its clarity and historical insight, Baker’s work remains an important resource for those studying "elliptic functions" today. By combining rigorous mathematical treatment with practical examples, the textbook helps learners develop both theoretical understanding and problem-solving skills. Available in print and digital formats, Arthur Latham Baker’s book continues to serve as an essential reference for students, educators, and mathematicians exploring the fascinating world of elliptic functions.
Book Details & Specifications
Title:
Elliptic Functions by Arthur Latham Baker
Publisher:
John Wiley & Sons
Year:
1890
Pages:
147
Type:
PDF
Language:
English
ISBN-10 #:
1429701889, 9332875219
ISBN-13 #:
978-9332875210
License:
Public Domain Work
Amazon:
Amazon
About the Author: Arthur Latham Baker
The author
Arthur Latham Baker
(1853–1934) was a distinguished American "mathematician" and educator, known for his contributions to mathematics education. He studied at Rensselaer Polytechnic Institute and the University of Göttingen and taught at Lafayette College and Manual Training High School in Brooklyn. Baker authored influential textbooks, including "Elliptic Functions: An Elementary Text-Book for Students of Mathematics", which provides a clear introduction to "elliptic functions" with historical context and practical examples. His work in "mathematics" education continues to impact students and educators, making complex concepts accessible and fostering a deeper understanding of mathematical theory.
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