Fourier, Laplace, and the Tangled Love Affair with Transforms: The Art of Signal Synthesis and Analysis
暫譯: 傅立葉、拉普拉斯與變換的錯綜愛戀：信號合成與分析的藝術
Jena, Sofen Kumar
- 出版商: Springer
- 出版日期: 2025-02-09
- 售價: $3,420
- 貴賓價: 9.5 折 $3,249
- 語言: 英文
- 頁數: 517
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031801644
- ISBN-13: 9783031801648
海外代購書籍(需單獨結帳)
商品描述
Unlock the intricate language of signals and systems with this in-depth exploration of Fourier and Laplace transforms. Designed for advanced undergraduates, graduate students, and professionals in engineering, physics, and applied mathematics, this book unravels the foundations of signal processing with a rigorous yet engaging approach.
Beginning with the fundamentals and building to advanced topics, each chapter guides you through the Fourier series, Fourier, and Laplace transform and into the realms of discrete Fourier and Z transforms, multi-dimensional analysis, and applications of the Fourier Transform in solving PDE, ODE, and Integral equations. The text brings mathematical theory to life through real-world applications in signal synthesis, systems engineering, and differential equations, making complex topics accessible and inspiring. With its unique blend of historical insights, practical applications, and intuitive explanations, this book offers a comprehensive yet approachable journey into the world of transforms. Whether you're a student building your foundation or a professional seeking to deepen your expertise, this book invites you to discover the elegance and utility of transforms in a way that bridges theory with the demands of modern engineering and science.商品描述(中文翻譯)
解鎖信號與系統的複雜語言，透過這本深入探討傅立葉變換和拉普拉斯變換的書籍。這本書專為高年級本科生、研究生以及工程、物理和應用數學的專業人士設計，以嚴謹而引人入勝的方式揭示信號處理的基礎。
本書從基本概念開始，逐步深入到高級主題，每一章都引導您了解傅立葉級數、傅立葉變換和拉普拉斯變換，並進入離散傅立葉變換和Z變換、多維分析，以及傅立葉變換在解決偏微分方程（PDE）、常微分方程（ODE）和積分方程中的應用。這本書通過信號合成、系統工程和微分方程的實際應用，讓數學理論變得生動，使複雜的主題變得易於理解並激發靈感。
憑藉其獨特的歷史見解、實用應用和直觀解釋，這本書提供了一個全面而易於接近的變換世界之旅。無論您是正在建立基礎的學生，還是希望深化專業知識的專業人士，這本書都邀請您以一種將理論與現代工程和科學需求相結合的方式，發現變換的優雅和實用性。
作者簡介
Dr. Sofen Kumar Jena is currently a researcher at the Process & Energy Laboratory in the Department of Mechanical Engineering at the Technical University of Delft, Netherlands. Dr. Jena holds a PhD in Mechanical Engineering and has over a decade of experience in research and professional work, particularly in applied mathematics. His expertise spans various domains, but his primary focus has been on turbulence modelling and the analysis of turbulence signals, which are key components of his research. This book emerges from his core research, reflecting his deep engagement with the mathematical principles behind signal analysis in turbulent systems. Dr. Jena's unique combination of profound theoretical understanding and practical experience allows him to present intricate mathematical concepts in an accessible and engaging manner. His work consistently bridges the gap between complex theoretical constructs and their real-world applications, offering readers a comprehensive understanding and practical insights.
作者簡介(中文翻譯)
Dr. Sofen Kumar Jena 目前是荷蘭代爾夫特科技大學機械工程系的過程與能源實驗室研究員。Jena 博士擁有機械工程博士學位，並在研究和專業工作方面擁有超過十年的經驗，特別是在應用數學領域。他的專業知識涵蓋多個領域，但主要集中在湍流建模和湍流信號分析，這些都是他研究的關鍵組成部分。本書源於他的核心研究，反映了他對湍流系統中信號分析背後數學原則的深入參與。Jena 博士獨特的深厚理論理解與實踐經驗的結合，使他能夠以易於理解和引人入勝的方式呈現複雜的數學概念。他的工作始終在複雜的理論構造與其現實應用之間架起橋樑，為讀者提供全面的理解和實用的見解。
