The revised and enlarged third edition offers an in-depth exploration of both linear and nonlinear partial differential equations, highlighting their diverse applications. This edition enhances an already comprehensive resource, making it even more accessible for readers seeking a systematic understanding of the subject.
Focusing on the life and achievements of Leonhard Euler, this historical research monograph delves into his extensive contributions across various fields, including number theory, calculus, and mechanics. With fourteen chapters, it explores the depth and breadth of his work, highlighting its lasting impact on mathematics and physical sciences over the past 300 years. The book also connects Euler's research to contemporary developments, offering insights into the historical evolution of mathematical disciplines and showcasing Euler's significance as a universal mathematician.
Focusing on wavelet analysis, this book systematically explores the construction and application of various wavelets, highlighting their effectiveness as analytical tools. It aims to equip mathematicians, scientists, and engineers with practical skills and knowledge, prioritizing application over abstract mathematical rigor. Through clear explanations and examples, readers will gain insights into the power of wavelets in mathematical analysis and their diverse applications across different fields.
This textbook offers an accessible introduction to wavelet transforms for readers in mathematics, science, and engineering. It features a systematic approach to wavelet analysis, detailed explanations, worked examples, and end-of-chapter exercises. Ideal for students and professionals alike, it serves as a comprehensive reference guide.
The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering. In an effort to inform researchers in mathematics, physics, statistics, computer science, and engineering and to stimulate furtherresearch, an NSF-CBMS Research Conference on Wavelet Analysis was organized at the University of Central Florida in May 1998. Many distinguished mathematicians and scientists from allover the world participated in the conference and provided a digest of recent developments, open questions, and unsolved problems in this rapidly growing and important field. As a follow-up project, this monograph was developed from manuscripts sub mitted by renowned mathematicians and scientists who have made important contributions to the subject of wavelets, wavelet transforms, and time-frequency signal analysis. This publication brings together current developments in the theory and applications of wavelet transforms and in the field of time-frequency signal analysis that are likely to determine fruitful directions for future advanced study and research.
Provides a digest of the current developments, open questions and unsolved problems likely to determine a new frontier for future advanced study and research in the rapidly growing areas of wavelets, wavelet transforms, signal analysis, and signal and image processing. Ideal reference work for advanced students and practitioners in wavelets, and wavelet transforms, signal processing and time-frequency signal analysis. Professionals working in electrical and computer engineering, applied mathematics, computer science, biomedical engineering, physics, optics, and fluid mechanics will also find the book a valuable resource.