Synopsis
This book delves into the fascinating world of elliptic integrals, mathematical objects that arise from calculating the lengths of curves like ellipses and hyperbolas. While the elementary calculus provides tools for integrating simpler expressions, this work tackles the challenge of integrating expressions involving more complex curves. The author guides the reader through the historical development of elliptic integrals, highlighting the contributions of mathematicians like Fagnano, Bernoulli, and Legendre. The book then introduces the three standard types of elliptic integrals and demonstrates how they can be transformed into normal forms for easier computation. Through detailed explanations and illustrative graphs, the reader gains an understanding of the properties and applications of these integrals. The book also explores the connection between elliptic integrals and elliptic functions, revealing their doubly periodic nature and showcasing their significance in higher analysis. Ultimately, this book illuminates the profound link between geometry and analysis, offering a valuable resource for anyone seeking to explore the intricacies of elliptic integrals and their enduring impact on mathematics.
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Elliptic Integrals (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of elliptic integrals, mathematical objects that arise from calculating the lengths of curves like ellipses and hyperbolas. While the elementary calculus provides tools for integrating simpler expressions, this work tackles the challenge of integrating expressions involving more complex curves. The author guides the reader through the historical development of elliptic integrals, highlighting the contributions of mathematicians like Fagnano, Bernoulli, and Legendre. The book then introduces the three standard types of elliptic integrals and demonstrates how they can be transformed into normal forms for easier computation. Through detailed explanations and illustrative graphs, the reader gains an understanding of the properties and applications of these integrals. The book also explores the connection between elliptic integrals and elliptic functions, revealing their doubly periodic nature and showcasing their significance in higher analysis. Ultimately, this book illuminates the profound link between geometry and analysis, offering a valuable resource for anyone seeking to explore the intricacies of elliptic integrals and their enduring impact on mathematics. 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 # 9780282983604_0
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Elliptic Integrals (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282983604
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282983604
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