Introduction to the Theory of Fourier's Series and Integrals - Hardcover

Introduction to the Theory of Fourier's Series and Integrals

Buch. Zustand: Neu. Neuware - 'Introduction to the Theory of Fourier's Series and Integrals' is a foundational text in the field of mathematical analysis, providing a rigorous and systematic exploration of the properties and applications of Fourier series and integrals. Written by Horatio Scott Carslaw, a prominent figure in mathematics and physics, this work offers a comprehensive guide to the convergence of series and the behavior of periodic functions. It serves as an essential resource for understanding the mathematical tools used to solve complex problems in thermodynamics, acoustics, and engineering.The book begins by establishing a firm grounding in the theory of infinite series and the properties of functions of a real variable. It then proceeds to a detailed treatment of Dirichlet's conditions, the Fourier integral formula, and the theory of limits. Carslaw's clear, pedagogical style ensures that even the most complex proofs are accessible to dedicated students and scholars. By focusing on the logical structure of mathematical analysis, the work clarifies the development of the Fourier expansion and its transformative impact on physics.Valued for its historical depth and mathematical precision, 'Introduction to the Theory of Fourier's Series and Integrals' remains a standard reference for those studying harmonic analysis and advanced calculus. Its enduring relevance makes it a vital addition to the library of any serious mathematician or physical scientist.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. Artikel-Nr. 9781025743905

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