Fourier Laplace And The Tangled Love Affair With Transforms The Art Of Signal Synthesis And Analysis 1st Edition Sofen Kumar Jena by Sofen Kumar Jena 9783031801648, 3031801644 instant download after payment.

 Welcome to “mathematical foundations for modern signal processing and systems analysis.” This book is designed to provide a comprehensive introduction to fundamental mathematical concepts pivotal in understanding and solving problems in signal processing, systems analysis, and applied mathematics. Whether you are a student embarking on a journey into these fields, a professional seeking to refresh your knowledge, or a researcher looking for a solid foundation, this book aims to bridge theoretical concepts with practical applications. The term “synthesis” describes constructing something by combining its basic elements. In the context of the Fourier series and inverse Fourier transform, signals are formed by  assembling fundamentals in usoidal components. Conversely, “analysis” refers to the mathematical breakdown of a complex entity to identify its essential building blocks, precisely the role Fourier analysis plays. In addition to covering the essential mathematical tools, this book delves into the historical development of these subjects, providing context and understanding of how these concepts have evolved overtime. By integrating historical perspectives with mathematical content, I hope to provide a solid foundation in these critical areas and an appreciation of the historical context that has shaped modern mathematical and engineering practices. By exploring the history behind these mathematical techniques, I hope the readers will gain insight into their origins, key contributors,and the milestones that have shaped modern practices.