The textbook is for a first-year graduate course introducing the basics of analytic number theory. It has more material than can be covered in one semester, says Overholt, so instructors can tailor the course in several directions. Students should be familiar with epsilon-delta calculus, have completed an undergraduate course in complex analysis, and possess the proficiency in abstract and linear algebra expected of a beginning graduate student of mathematics. He does not assume any graduate-level analysis. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)
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Hardcover. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00693 9781470417062 Sprache: Englisch Gewicht in Gramm: 1050. Codice articolo 2483218
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hardcover. Condizione: Very Good. May have light to moderate shelf wear and/or a remainder mark. Complete. Clean pages. Codice articolo 1458239
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Hardcover. Condizione: Brand New. 371 pages. 10.50x7.50x1.00 inches. In Stock. Codice articolo 1470417065
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Gebunden. Condizione: New. KlappentextrnrnOffers an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic. Codice articolo 595974996
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HRD. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo FW-9781470417062
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Hardback. Condizione: New. This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem. But it also covers more challenging topics that might be used in a second course, such as the Siegel-Walfisz theorem, functional equations of L-functions, and the explicit formula of von Mangoldt. For students with an interest in Diophantine analysis, there is a chapter on the Circle Method and Waring's Problem. Those with an interest in algebraic number theory may find the chapter on the analytic theory of number fields of interest, with proofs of the Dirichlet unit theorem, the analytic class number formula, the functional equation of the Dedekind zeta function, and the Prime Ideal Theorem.The exposition is both clear and precise, reflecting careful attention to the needs of the reader. The text includes extensive historical notes, which occur at the ends of the chapters. The exercises range from introductory problems and standard problems in analytic number theory to interesting original problems that will challenge the reader.The author has made an effort to provide clear explanations for the techniques of analysis used. No background in analysis beyond rigorous calculus and a first course in complex function theory is assumed. Codice articolo LU-9781470417062
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