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The theory of functions of a real variable and the theory of Fourier's series

Hobson, Ernest William

Published by Dover Publications, 1957
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third edition; 2 vols., 726 + 778 pp., paperbacks, light wear to spines and covers else text clean & bindings tight . - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1318632

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Title: The theory of functions of a real variable ...
Publisher: Dover Publications
Publication Date: 1957
Condition: Good

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Ernest William Hobson
Published by Forgotten Books, 2018
ISBN 10: 1330135024 ISBN 13: 9781330135020
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Paperback. Condition: New. Print on Demand. This book delves into the intricate world of mathematical analysis, specifically focusing on the theory of functions of a real variable. It provides a comprehensive exploration of this theory's evolution, tracing its roots back to the challenges posed by Fourier series and the need for a rigorous understanding of concepts like continuity and limits. The author meticulously examines the foundations of real numbers, delving into the theories of Cantor and Dedekind, and constructs a framework for understanding sets of points and their properties. The book delves into the complexities of functions, their classifications, and their representation through series. A significant portion is dedicated to the exploration of Fourier series, reflecting their historical importance in shaping the field. Integration, a cornerstone of calculus, is thoroughly examined, encompassing both the Riemann and Lebesgue approaches. The author's dedication to clarity and accessibility makes this book a valuable resource for both students and mathematicians seeking a deeper understanding of the theory of functions. By unraveling the intricacies of mathematical analysis, this book offers invaluable insights into the fundamental principles that underpin our understanding of the continuous and the infinite. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330135020_0

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Ernest William Hobson
Published by Forgotten Books, 2018
ISBN 10: 1527766535 ISBN 13: 9781527766532
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Paperback. Condition: New. Print on Demand. This book explores the intricate world of functions and their properties, providing a comprehensive and rigorous account of a subject central to mathematical analysis. It delves into the foundations of arithmetic, outlining the theories of real numbers developed by Cantor and Dedekind. The author then navigates the theory of sets of points, offering insights into transfinite numbers and their implications for understanding the structure of the continuum. The book examines various classes of functions, including continuous and discontinuous functions, analyzing their properties and exploring the role of derivatives and integrals. The author delves into the historical development of Fourier series, recognizing its crucial role in shaping the modern theory of functions, highlighting the complexities and nuances of representing functions by trigonometric series. The book's depth of coverage and historical perspective makes it a valuable resource for mathematicians seeking a nuanced understanding of the fundamental building blocks of mathematical analysis. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781527766532_0

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Ernest William Hobson
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Ernest William Hobson
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Ernest William Hobson
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Ernest William Hobson
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Hobson, Ernest William
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Hobson, Ernest William
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