000			02533nam a22002537a 4500
003			OSt
005			20240610113856.0
008			240604b |||||||| |||| 00| 0 hin d
020			_a9781470425784
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a517.9 _bDUR-I
100			_aDuren, Peter.
245			_aInvitation to classical analysis
260			_aHyderabad : _bUniversities Press, _c2012.
300			_axiii, 392p. : _bill. ; _c26 cm.
490			_aPure and applied undergraduate texts ; _v17
504			_aIncludes bibliographical references and index.
520			_aThis book gives a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of advanced calculus without appeal to more sophisticated techniques of complex analysis and Lebesgue integration. Among the topics covered are Fourier series and integrals, approximation theory, Stirling's formula, the gamma function, Bernoulli numbers and polynomials, the Riemann zeta function, Tauberian theorems, elliptic integrals, ramifications of the Cantor set, and a theoretical discussion of differential equations including power series solutions at regular singular points, Bessel functions, hypergeometric functions, and Sturm comparison theory. Preliminary chapters offer rapid reviews of basic principles and further background material such as infinite products and commonly applied inequalities. This book is designed for individual study but can also serve as a text for second-semester courses in advanced calculus. Each chapter concludes with an abundance of exercises. Historical notes discuss the evolution of mathematical ideas and their relevance to physical applications. Special features are capsule scientific biographies of the major players and a gallery of portraits. Although this book is designed for undergraduate students, others may find it an accessible source of information on classical topics that underlie modern developments in pure and applied mathematics.
650			_aFunctional analysis
856			_3Table of Content _uhttps://www.ams.org/bookstore/pspdf/amstext-17-toc.pdf?_gl=1*15qo94l*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxNzk5NTUxNi4xLjEuMTcxNzk5OTMyOC4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/68237141-invitation-to-classical-analysis?from_search=true&from_srp=true&qid=WpnYCwPJi4&rank=1#CommunityReviews
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