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portada Asymptotic Analysis
Type
Physical Book
Publisher
Author
Language
English
Pages
680
Format
Hardcover
ISBN13
9789819824687

Asymptotic Analysis

Wong, Roderick S. C.; Wang, Xiang-Sheng (Author) · World Scientific Publishing Company · Hardcover

Asymptotic Analysis - Wong, Roderick S. C.; Wang, Xiang-Sheng

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Synopsis "Asymptotic Analysis"

This volume brings together 30 chapters across five parts, offering a structured, in-depth survey of asymptotic analysis and its applications. Readers will find rigorous treatments of orthogonal polynomials, boundary layer problems, saddle-point integrals, turning point theory, Airy and Bessel expansions, special functions, and modern approaches to difference equations, differential equations, Riemann-Hilbert problems, integrals, and singular perturbation problems. Each chapter blends classical foundations with recent breakthroughs, making the book both a comprehensive reference and a graduate-level textbook with exercises for hands-on learning.Over the past three decades, asymptotic analysis has become indispensable in number theory, combinatorics, probability and statistics, mathematical physics, engineering, and applied sciences, equipping researchers and students with powerful methods for solving complex problems. This book not only surveys the latest advances in asymptotic methods but also demonstrates their practical applications across diverse mathematical models.Designed for advanced undergraduate students, graduate students, researchers, and instructors, the text can be used as a reference guide to modern asymptotic techniques or adapted into course modules, strengthening both theoretical understanding and applied problem-solving.

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