The third edition of Generalized Functions enhances fundamental concepts and their applications in fields like mathematical physics, elasticity, and economics. It features new topics, expanded examples, and a comprehensive bibliography. The text is revised for clarity and includes modern concepts beneficial for students in physical sciences and technology.
The second edition enhances its predecessor by expanding examples and incorporating new concepts in generalized functions. Key chapters have been revised for clarity, including a consolidation of Chapters 12 and 13, with the new Chapter 13 focusing on moments, asymptotics, and singular perturbations. The bibliography has been significantly enlarged, and sections on probability theory have been updated with contributions from Professor Z.L. Crvenkovic. The text illustrates how generalized functions have transformed Fourier analysis, benefiting students in physical sciences and technology.
Focusing on singular integral equations, this work explores their distributional solutions and the rich mathematical concepts involved. These equations, characterized by singular kernels or infinite limits, have applications across various scientific fields, including potential theory, mechanics, fluid dynamics, and wave scattering. The book delves into specific types of singular integral equations, such as the Abel and Cauchy types, highlighting their significance and the underlying mathematical intricacies necessary for solving them.
Focusing on asymptotic analysis, this book serves as a modern introduction suitable for mathematicians, physicists, engineers, and graduate students. Written by leading experts, it combines theoretical foundations with practical applications across diverse fields such as differential equations and quantum mechanics. The revised second edition includes a new chapter, expanded topics on distributions, and extensive examples and exercises, making it a valuable resource for both classroom use and self-study.
This book offers a modern introduction to asymptotic analysis for mathematicians, physicists, engineers, and graduate students. Written by leading experts, it covers a wide range of topics, includes new chapters, and provides extensive examples and exercises, making it a valuable resource for both classroom use and self-study.
This affordable reprint of a classic graduate textbook, originally published in 1971, places emphasis on applications to theoretical mechanics, mathematical physics, and applied mathematics and presents a variety of techniques with extensive examples.