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Synopsis
Based on lectures given by Professor Hlawka in Vienna and in Pasadena, the book covers diophantine approximation, uniform distribution of numbers modulo 1 and geometry of numbers, as well as analytic number theory. It also proves the irrationality of zeta
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Synopsis
Based on lectures given by Professor Hlawka in Vienna and in Pasadena, the book covers diophantine approximation, uniform distribution of numbers modulo 1 and geometry of numbers, as well as analytic number theory. It also proves the irrationality of zeta (3) and presents the important method of A. and H. Lenstra for the decomposition of polynomials, neither available in any other textbook. Various proofs of the prime number theorem are described. This monograph on number theory, real analysis, algebra/algebraic number theory is intended for students and lecturers in the above fields.
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Geometric and Analytic Number Theory (Universitext)
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Geometric and Analytic Number Theory
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GEOMETRIC & ANALYTIC NUMBER THEORY
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Geometric and Analytic Number Theory (Universitext)
Published by
Springer-Verlag 1991-01-01, 1991
ISBN 10: 3540520163
ISBN 13: 9783540520160
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Geometric and Analytic Number Theory (Universitext)
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Geometric and Analytic Number Theory
Published by
Springer Berlin Heidelberg Aug 1991, 1991
ISBN 10: 3540520163
ISBN 13: 9783540520160
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Taschenbuch
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In the English edition, the chapter on the Geometry of Numbers has been enlarged to include the important findings of H. Lenstraj furthermore, tried and tested examples and exercises have been included. The translator, Prof. Charles Thomas, has solved the difficult problem of the German text into English in an admirable way. He deserves transferring our 'Unreserved praise and special thailks. Finally, we would like to express our gratitude to Springer-Verlag, for their commitment to the publication of this English edition, and for the special care taken in its production. Vienna, March 1991 E. Hlawka J. SchoiBengeier R. Taschner Preface to the German Edition We have set ourselves two aims with the present book on number theory. On the one hand for a reader who has studied elementary number theory, and who has knowledge of analytic geometry, differential and integral calculus, together with the elements of complex variable theory, we wish to introduce basic results from the areas of the geometry of numbers, diophantine ap proximation, prime number theory, and the asymptotic calculation of number theoretic functions. However on the other hand for the student who has al ready studied analytic number theory, we also present results and principles of proof, which until now have barely if at all appeared in text books. 252 pp. Englisch. Seller Inventory # 9783540520160
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Geometric and Analytic Number Theory
Published by
Springer Berlin Heidelberg, 1991
ISBN 10: 3540520163
ISBN 13: 9783540520160
New
Taschenbuch
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In the English edition, the chapter on the Geometry of Numbers has been enlarged to include the important findings of H. Lenstraj furthermore, tried and tested examples and exercises have been included. The translator, Prof. Charles Thomas, has solved the difficult problem of the German text into English in an admirable way. He deserves transferring our 'Unreserved praise and special thailks. Finally, we would like to express our gratitude to Springer-Verlag, for their commitment to the publication of this English edition, and for the special care taken in its production. Vienna, March 1991 E. Hlawka J. SchoiBengeier R. Taschner Preface to the German Edition We have set ourselves two aims with the present book on number theory. On the one hand for a reader who has studied elementary number theory, and who has knowledge of analytic geometry, differential and integral calculus, together with the elements of complex variable theory, we wish to introduce basic results from the areas of the geometry of numbers, diophantine ap proximation, prime number theory, and the asymptotic calculation of number theoretic functions. However on the other hand for the student who has al ready studied analytic number theory, we also present results and principles of proof, which until now have barely if at all appeared in text books. Seller Inventory # 9783540520160
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Geometric and Analytic Number Theory (Universitext)
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Perfect Paperback. Condition: Brand New. 1st edition. 248 pages. French language. 9.53x6.69x0.63 inches. In Stock. This item is printed on demand. Seller Inventory # __3540520163
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