Excerpt from A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of the Principal Transcendental Functions
Advantage has been taken of the preparation of the third edition of this work to add a chapter on Ellipsoidal Harmonics and Lamé's Equation, and to rearrange the chapter on Trigonometrical Series so that the parts Which are used in Applied Mathematics come at the beginning of the.
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Paperback. Condition: New. Print on Demand. This book delves into the fundamental building blocks of mathematical analysis, taking readers on a journey through the fascinating evolution of the concept of number. The author begins with a discussion of rational and irrational numbers, tracing the historical development of these concepts and highlighting the pivotal role of Dedekind's work in establishing a purely arithmetical foundation for irrational numbers. The book then moves on to the realm of complex numbers, exploring their geometrical representation in the Argand diagram and demonstrating their crucial role in expanding the scope of algebraic equations. A significant portion of the book is dedicated to the theory of convergence, a concept central to the study of infinite series. The author discusses various tests for convergence, including the comparison test, D'Alembert's ratio test, and Dirichlet's test, illustrating these concepts with examples and showcasing their applications. The book explores the complexities of changing the order of terms in infinite series and the unique properties of absolutely convergent series. The discussion then extends to double series, providing a rigorous treatment of their convergence properties. By offering a comprehensive and engaging exploration of these fundamental mathematical concepts, the book provides readers with a deep understanding of the essential tools and techniques used in advanced 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 # 9781332785414_0
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Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332785414
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Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332785414
Quantity: 15 available