Inhaltsangabe
Elliptic Integrals: A Practical Guide for Students and Professionals Explore the foundations and applications of elliptic integrals with a clear, methodical approach. This edition presents the Legendre–Jacobi theory, focuses on the first and second kinds, and shows how to reduce complex integrals to standard forms for precise calculation.
Elliptic integrals unlock a range of problems in mathematics and its applications. The book explains how to transform difficult expressions into normal forms, uses tables to achieve exact results, and introduces the associated elliptic functions with their doubly periodic properties. It also covers numerical techniques and practical examples, helping readers apply theory to real problems.
- Step-by-step reductions of complex integrals to Legendre’s normal forms
- How to compute elliptic integrals with accuracy using tables and transformations
- Introduction to elliptic functions and their key properties
- Numerical methods and worked examples for practical problem solving
Ideal for readers with a background in calculus and an interest in applied mathematics, including students, instructors, and professionals who need reliable methods for elliptic integrals and related functions.
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