An Introduction to the Theory of Infinite Series (AMS Chelsea Publishing)

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9780821839768: An Introduction to the Theory of Infinite Series (AMS Chelsea Publishing)
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This edition consists largely of a reproduction of the first edition (which was based on lectures on Elementary Analysis given at Queen's College, Galway, from 1902-1907), with additional theorems and examples. Additional material includes a discussion of the solution of linear differential equations of the second order; a discussion of elliptic function formulae; expanded treatment of asymptomatic series; a discussion of trigonometrical series, including Stokes's transformation and Gibbs's phenomenon; and an expanded Appendix II that includes an account of Napier's invention of logarithms.

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The book is especially good at counterexamples, and includes many of these to warn against pitfalls in reasoning and to show that all the hypotheses of the theorems are really needed. One especially nice feature is the use of Tannery's theorem, on interchanging limit and summation, throughout the book. --MAA Reviews

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Book Description American Mathematical Society, United States, 2005. Hardback. Condition: New. Language: English . Brand New Book. This edition consists largely of a reproduction of the first edition (which was based on lectures on Elementary Analysis given at Queen s College, Galway, from 1902-1907), with additional theorems and examples. Additional material includes a discussion of the solution of linear differential equations of the second order; a discussion of elliptic function formulae; expanded treatment of asymptomatic series; a discussion of trigonometrical series, including Stokes transformation and Gibbs phenomenon; and an expanded Appendix II that includes an account of Napier s invention of logarithms. Seller Inventory # AAN9780821839768

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Book Description American Mathematical Society, United States, 2005. Hardback. Condition: New. Language: English . Brand New Book. This edition consists largely of a reproduction of the first edition (which was based on lectures on Elementary Analysis given at Queen s College, Galway, from 1902-1907), with additional theorems and examples. Additional material includes a discussion of the solution of linear differential equations of the second order; a discussion of elliptic function formulae; expanded treatment of asymptomatic series; a discussion of trigonometrical series, including Stokes transformation and Gibbs phenomenon; and an expanded Appendix II that includes an account of Napier s invention of logarithms. Seller Inventory # AAN9780821839768

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