Special Integrals
Series: University Texts in the Mathematical Sciences;
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28 841 Ft
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Product details:
- Edition number 2024
- Publisher Springer Nature Singapore
- Date of Publication 25 March 2025
- Number of Volumes 1 pieces, Book
- ISBN 9789819775132
- Binding Hardback
- No. of pages382 pages
- Size 235x155 mm
- Language English
- Illustrations XVI, 382 p. 7 illus., 1 illus. in color. Illustrations, black & white 648
Categories
Long description:
Targeted to upper-undergraduate and graduate students of mathematics, this book discusses special integrals and their applications in finding certain series sums. It starts with the differentiation and the integration methods for summing a series that is applied to find the sum of various binomial and trigonometrical series. It also discusses methods to find the sum of series involving the variables having exponents in integral or fractional powers of 2. Complex variables are freely used to derive several theorems, which result in several special integrals and series sums. Bessel coefficients, Bessel functions, and their various generalizations are also discussed in the book. As a particular case of generalized Bessel functions, pseudo-exponential functions are defined, and their properties are studied in the book. Broadly divided into two parts—Part 1 and Part 2—the book has six chapters in Part 1, whereas Part 2 has six chapters on solutions to the problems in Part 1. To understand the topics in the book, the minimum prerequisites are the knowledge of calculus, complex analysis, and Fourier series.
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Table of Contents:
Binomial Series.- Trigonometrical Series.- Special Integrals.- Pseudo-Exponential Functions.- Series Sums using Special Integrals.- Solutions to Binomial Series.- Solutions to Trigonometrical Series.
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Mathematics and the Imagination
7 161 HUF
