Translations / American Mathematical Society. Ser. 1, 2. Number theory and analysis

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Total Pages : 0 pages
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Book Synopsis Translations / American Mathematical Society. Ser. 1, 2. Number theory and analysis by : American Mathematical Society

Download or read book Translations / American Mathematical Society. Ser. 1, 2. Number theory and analysis written by American Mathematical Society and published by . This book was released on 1962 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Translations. Ser. 1, 2. Number theory and analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821816028
Total Pages : 548 pages
Book Rating : 4.8/5 (16 download)

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Book Synopsis Translations. Ser. 1, 2. Number theory and analysis by : American Mathematical Society

Download or read book Translations. Ser. 1, 2. Number theory and analysis written by American Mathematical Society and published by American Mathematical Soc.. This book was released on 1962 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Number Theory and Analysis

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ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.:/5 (675 download)

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Book Synopsis Number Theory and Analysis by :

Download or read book Number Theory and Analysis written by and published by . This book was released on 1962 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Translations: Number theory and analysis

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ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Translations: Number theory and analysis by : American Mathematical Society

Download or read book Translations: Number theory and analysis written by American Mathematical Society and published by . This book was released on 1962 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Number Theory and Analysis

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ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.:/5 (175 download)

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Book Synopsis Number Theory and Analysis by : I. S. Sominskiĭ

Download or read book Number Theory and Analysis written by I. S. Sominskiĭ and published by . This book was released on 1962 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Basic Analytic Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642580181
Total Pages : 234 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Basic Analytic Number Theory by : Anatolij A. Karatsuba

Download or read book Basic Analytic Number Theory written by Anatolij A. Karatsuba and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English translation of Karatsuba's Basic Analytic Number Theory follows closely the second Russian edition, published in Moscow in 1983. For the English edition, the author has considerably rewritten Chapter I, and has corrected various typographical and other minor errors throughout the the text. August, 1991 Melvyn B. Nathanson Introduction to the English Edition It gives me great pleasure that Springer-Verlag is publishing an English trans lation of my book. In the Soviet Union, the primary purpose of this monograph was to introduce mathematicians to the basic results and methods of analytic number theory, but the book has also been increasingly used as a textbook by graduate students in many different fields of mathematics. I hope that the English edition will be used in the same ways. I express my deep gratitude to Professor Melvyn B. Nathanson for his excellent translation and for much assistance in correcting errors in the original text. A.A. Karatsuba Introduction to the Second Russian Edition Number theory is the study of the properties of the integers. Analytic number theory is that part of number theory in which, besides purely number theoretic arguments, the methods of mathematical analysis play an essential role.

Number Theory

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ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (637 download)

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Book Synopsis Number Theory by : Kazuya Kato

Download or read book Number Theory written by Kazuya Kato and published by . This book was released on 2000 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642681301
Total Pages : 591 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Introduction to Number Theory by : L.-K. Hua

Download or read book Introduction to Number Theory written by L.-K. Hua and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: To Number Theory Translated from the Chinese by Peter Shiu With 14 Figures Springer-Verlag Berlin Heidelberg New York 1982 HuaLooKeng Institute of Mathematics Academia Sinica Beijing The People's Republic of China PeterShlu Department of Mathematics University of Technology Loughborough Leicestershire LE 11 3 TU United Kingdom ISBN -13 : 978-3-642-68132-5 e-ISBN -13 : 978-3-642-68130-1 DOl: 10.1007/978-3-642-68130-1 Library of Congress Cataloging in Publication Data. Hua, Loo-Keng, 1910 -. Introduc tion to number theory. Translation of: Shu lun tao yin. Bibliography: p. Includes index. 1. Numbers, Theory of. I. Title. QA241.H7513.5 12'.7.82-645. ISBN-13:978-3-642-68132-5 (U.S.). AACR2 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, reuse of illustra tions, broadcasting, reproductiOli by photocopying machine or similar means, and storage in data banks. Under {sect} 54 of the German Copyright Law where copies are made for other than private use a fee is payable to "VerwertungsgeselIschaft Wort", Munich. © Springer-Verlag Berlin Heidelberg 1982 Softcover reprint of the hardcover 1st edition 1982 Typesetting: Buchdruckerei Dipl.-Ing. Schwarz' Erben KG, Zwettl. 214113140-5432 I 0 Preface to the English Edition The reasons for writing this book have already been given in the preface to the original edition and it suffices to append a few more points

Canadian Journal of Mathematics

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ISBN 13 :
Total Pages : 130 pages
Book Rating : 4./5 ( download)

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Book Synopsis Canadian Journal of Mathematics by :

Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1985-12 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and Its History

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Publisher : Springer Nature
ISBN 13 : 3030551938
Total Pages : 400 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Mathematics and Its History by : John Stillwell

Download or read book Mathematics and Its History written by John Stillwell and published by Springer Nature. This book was released on 2020-11-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition

Measure Theory and Integration

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Publisher : CRC Press
ISBN 13 : 1351991485
Total Pages : 388 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Measure Theory and Integration by : M.M. Rao

Download or read book Measure Theory and Integration written by M.M. Rao and published by CRC Press. This book was released on 2018-10-03 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications. With more than 170 references for further investigation of the subject, this Second Edition provides more than 60 pages of new information, as well as a new chapter on nonabsolute integrals contains extended discussions on the four basic results of Banach spaces presents an in-depth analysis of the classical integrations with many applications, including integration of nonmeasurable functions, Lebesgue spaces, and their properties details the basic properties and extensions of the Lebesgue-Carathéodory measure theory, as well as the structure and convergence of real measurable functions covers the Stone isomorphism theorem, the lifting theorem, the Daniell method of integration, and capacity theory Measure Theory and Integration, Second Edition is a valuable reference for all pure and applied mathematicians, statisticians, and mathematical analysts, and an outstanding text for all graduate students in these disciplines.

Vladimir I. Arnold - Collected Works

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Publisher : Springer Science & Business Media
ISBN 13 : 3642017428
Total Pages : 500 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Vladimir I. Arnold - Collected Works by : Vladimir I. Arnold

Download or read book Vladimir I. Arnold - Collected Works written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2009-10-22 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vladimir Arnold is one of the greatest mathematical scientists of our time, as well as one of the finest, most prolific mathematical authors. This first volume of his Collected Works focuses on representations of functions, celestial mechanics and KAM theory.

Wavelet Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849840
Total Pages : 522 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Wavelet Theory by : Igor Iakovlevič Novikov (mathématicien).)

Download or read book Wavelet Theory written by Igor Iakovlevič Novikov (mathématicien).) and published by American Mathematical Soc.. This book was released on 2011 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelet theory lies on the crossroad of pure and computational mathematics, with connections to audio and video signal processing, data compression, and information transmission. The present book is devoted to a systematic exposition of modern wavelet theory. It details the construction of orthogonal and biorthogonal systems of wavelets and studies their structural and approximation properties, starting with basic theory and ending with special topics and problems. The book also presents some applications of wavelets. Historical commentary is supplied for each chapter in the book, and most chapters contain exercises. The book is intended for professional mathematicians and graduate students working in functional analysis and approximation theory. It is also useful for engineers applying wavelet theory in their work. Prerequisites for reading the book consist of graduate courses in real and functional analysis.

Explorations in Complex Functions

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Publisher : Springer Nature
ISBN 13 : 3030545334
Total Pages : 353 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Explorations in Complex Functions by : Richard Beals

Download or read book Explorations in Complex Functions written by Richard Beals and published by Springer Nature. This book was released on 2020-10-19 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give rise to Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener–Hopf method. Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout.

Number Theory

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Publisher : Birkhäuser
ISBN 13 : 303487023X
Total Pages : 525 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Number Theory by : R.P. Bambah

Download or read book Number Theory written by R.P. Bambah and published by Birkhäuser. This book was released on 2012-12-06 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Indian National Science Academy on the occasion ofthe Golden Jubilee Celebration (Fifty years of India's Independence) decided to publish a number of monographs on the selected fields. The editorial board of INS A invited us to prepare a special monograph in Number Theory. In reponse to this assignment, we invited several eminent Number Theorists to contribute expository/research articles for this monograph on Number Theory. Al though some ofthose invited, due to other preoccupations-could not respond positively to our invitation, we did receive fairly encouraging response from many eminent and creative number theorists throughout the world. These articles are presented herewith in a logical order. We are grateful to all those mathematicians who have sent us their articles. We hope that this monograph will have a significant impact on further development in this subject. R. P. Bambah v. C. Dumir R. J. Hans-Gill A Centennial History of the Prime Number Theorem Tom M. Apostol The Prime Number Theorem Among the thousands of discoveries made by mathematicians over the centuries, some stand out as significant landmarks. One of these is the prime number theorem, which describes the asymptotic distribution of prime numbers. It can be stated in various equivalent forms, two of which are: x (I) K(X) '" -I - as x --+ 00, ogx and Pn '" n log n as n --+ 00. (2) In (1), K(X) denotes the number of primes P ::s x for any x > O.

Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821868969
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications by : Jorge Arvesœ

Download or read book Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications written by Jorge Arvesœ and published by American Mathematical Soc.. This book was released on 2012-09-11 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 11th International Symposium on Orthogonal Polynomials, Special Functions, and their Applications, held August 29-September 2, 2011, at the Universidad Carlos III de Madrid in Leganes, Spain. The papers cover asymptotic properties of polynomials on curves of the complex plane, universality behavior of sequences of orthogonal polynomials for large classes of measures and its application in random matrix theory, the Riemann-Hilbert approach in the study of Pade approximation and asymptotics of orthogonal polynomials, quantum walks and CMV matrices, spectral modifications of linear functionals and their effect on the associated orthogonal polynomials, bivariate orthogonal polynomials, and optimal Riesz and logarithmic energy distribution of points. The methods used include potential theory, boundary values of analytic functions, Riemann-Hilbert analysis, and the steepest descent method.

Problems and Theorems in Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1475762925
Total Pages : 400 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Problems and Theorems in Analysis by : Georg Polya

Download or read book Problems and Theorems in Analysis written by Georg Polya and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: