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Excerpt from An Elementary Treatise on Differential Equations and Their Applications
In the sections dealing with Lagrange's linear partial differential equations, two examples have been taken from M. J. M. Hill's recent paper to illustrate his methods of obtaining Special integrals. In dealing with solution in series, great prominence has been given to the method of Frobenius. One chapter is devoted to the use of the method in working actual examples. This is followed uby a much harder chapter, justifying the assumptions made and dealing with the difficult questions of convergence involved. An effort has been made to state very clearly and definitely where the difficulty lies, and what are the general ideas of the somewhat complicated proofs. It is a common experience that many students when first faced by a long epsilon-proof are so bewildered by the details that they have very little idea Of the general trend. I have to thank Mr. S. Pollard, b.a., of Trinity College, Cambridge, for his valuable help with this chapter. This is the most advanced portion of the book, and, unlike the rest of it, requires a little know~ ledge of infinite series. However, references to standard text-books have been given for every such theorem used.
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An Elementary Treatise on Differential Equations and Their Applications (Classic Reprint)
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781330106495
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An Elementary Treatise on Differential Equations and Their Applications (Classic Reprint)
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781330106495
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An Elementary Treatise on Differential Equations and Their Applications
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Paperback. Condizione: New. Print on Demand. Delving into the heart of mathematics, this book explores the fascinating realm of differential equations ââ â mathematical expressions that describe change and have far-reaching applications in various scientific disciplines. It serves as a comprehensive guide for readers with a foundational understanding of calculus and coordinate geometry, offering a clear and accessible introduction to this fundamental field. Emerging from the development of calculus, the study of differential equations has evolved into a cornerstone of modern mathematics, with connections to infinite series, geometry, and physics. The author skillfully navigates through the central themes, elucidating the diverse applications of differential equations in fields such as mechanics, electrical vibrations, heat conduction, and physical chemistry. Through numerous examples and exercises, the book unravels the methods for solving different types of differential equations, including those of the first order and degree, linear equations with constant coefficients, and partial differential equations. The author sheds light on concepts like the complete primitive, particular integrals, and singular solutions, providing a solid understanding of the behavior and solutions of these equations. By bridging the gap between mathematical theory and practical applications, this book offers valuable insights into the profound impact of differential equations on our understanding of the natural world and technological advancements. 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. Codice articolo 9781330106495_0
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An Elementary Treatise on Differential Equations and Their Applications (Classic Reprint)
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Paperback. Condizione: Brand New. 261 pages. 8.90x5.91x0.63 inches. This item is printed on demand. Codice articolo zk1330106490
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An Elementary Treatise on Differential Equations and Their Applications (Classic Reprint)
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paperback. Condizione: New. New. book. Codice articolo ERICA80013301064906
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