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Author :
Publisher :
ISBN 13 :
Total Pages : 774 pages
Book Rating : 4.3/5 (91 download)
Download or read book Dissertation Abstracts written by and published by . This book was released on 1961 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carlos J. Moreno
Publisher : CRC Press
ISBN 13 : 1584884568
Total Pages : 368 pages
Book Rating : 4.5/5 (848 download)
Download or read book Sums of Squares of Integers written by Carlos J. Moreno and published by CRC Press. This book was released on 2005-12-09 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums of a certain number of squares. The book introduces a stimulating area of number theory where research continues to proliferate. It is a book of "firsts" - namely it is the first book to combine Liouville's elementary methods with the analytic methods of modular functions to study the representation of integers as sums of squares. It is the first book to tell how to compute the number of representations of an integer n as the sum of s squares of integers for any s and n. It is also the first book to give a proof of Szemeredi's theorem, and is the first number theory book to discuss how the modern theory of modular forms complements and clarifies the classical fundamental results about sums of squares. The book presents several existing, yet still interesting and instructive, examples of modular forms. Two chapters develop useful properties of the Bernoulli numbers and illustrate arithmetic progressions, proving the theorems of van der Waerden, Roth, and Szemeredi. The book also explains applications of the theory to three problems that lie outside of number theory in the areas of cryptanalysis, microwave radiation, and diamond cutting. The text is complemented by the inclusion of over one hundred exercises to test the reader's understanding.
Author : John J. Watkins
Publisher : Princeton University Press
ISBN 13 : 1400848741
Total Pages : 593 pages
Book Rating : 4.4/5 (8 download)
Download or read book Number Theory written by John J. Watkins and published by Princeton University Press. This book was released on 2013-12-29 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook with a unique historical approach to teaching number theory The natural numbers have been studied for thousands of years, yet most undergraduate textbooks present number theory as a long list of theorems with little mention of how these results were discovered or why they are important. This book emphasizes the historical development of number theory, describing methods, theorems, and proofs in the contexts in which they originated, and providing an accessible introduction to one of the most fascinating subjects in mathematics. Written in an informal style by an award-winning teacher, Number Theory covers prime numbers, Fibonacci numbers, and a host of other essential topics in number theory, while also telling the stories of the great mathematicians behind these developments, including Euclid, Carl Friedrich Gauss, and Sophie Germain. This one-of-a-kind introductory textbook features an extensive set of problems that enable students to actively reinforce and extend their understanding of the material, as well as fully worked solutions for many of these problems. It also includes helpful hints for when students are unsure of how to get started on a given problem. Uses a unique historical approach to teaching number theory Features numerous problems, helpful hints, and fully worked solutions Discusses fun topics like Pythagorean tuning in music, Sudoku puzzles, and arithmetic progressions of primes Includes an introduction to Sage, an easy-to-learn yet powerful open-source mathematics software package Ideal for undergraduate mathematics majors as well as non-math majors Digital solutions manual (available only to professors)
Author : Janos Suranyi
Publisher : Springer Science & Business Media
ISBN 13 : 1461300150
Total Pages : 302 pages
Book Rating : 4.4/5 (613 download)
Download or read book Topics in the Theory of Numbers written by Janos Suranyi and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. In this book, the authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive.
Author : F. Halter-Koch
Publisher : Walter de Gruyter
ISBN 13 : 3110801957
Total Pages : 573 pages
Book Rating : 4.1/5 (18 download)
Download or read book Algebraic Number Theory and Diophantine Analysis written by F. Halter-Koch and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author : Hsiung
Publisher : Allied Publishers
ISBN 13 : 9788170234647
Total Pages : 264 pages
Book Rating : 4.2/5 (346 download)
Download or read book Elementary Theory of Numbers written by Hsiung and published by Allied Publishers. This book was released on 1995 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Gellert
Publisher : Springer Science & Business Media
ISBN 13 : 1468482378
Total Pages : 815 pages
Book Rating : 4.4/5 (684 download)
Download or read book The VNR Concise Encyclopedia of Mathematics written by W. Gellert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is commonplace that in our time science and technology cannot be mastered without the tools of mathematics; but the same applies to an ever growing extent to many domains of everyday life, not least owing to the spread of cybernetic methods and arguments. As a consequence, there is a wide demand for a survey of the results of mathematics, for an unconventional approach that would also make it possible to fill gaps in one's knowledge. We do not think that a mere juxtaposition of theorems or a collection of formulae would be suitable for this purpose, because this would over emphasize the symbolic language of signs and letters rather than the mathematical idea, the only thing that really matters. Our task was to describe mathematical interrelations as briefly and precisely as possible. In view of the overwhelming amount of material it goes without saying that we did not just compile details from the numerous text-books for individual branches: what we were aiming at is to smooth out the access to the specialist literature for as many readers as possible. Since well over 700000 copies of the German edition of this book have been sold, we hope to have achieved our difficult goal. Colours are used extensively to help the reader. Important definitions and groups of formulae are on a yellow background, examples on blue, and theorems on red.
Author : M. Hazewinkel
Publisher : Springer
ISBN 13 : 1489937978
Total Pages : 927 pages
Book Rating : 4.4/5 (899 download)
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marius Overholt
Publisher : American Mathematical Soc.
ISBN 13 : 1470417065
Total Pages : 394 pages
Book Rating : 4.4/5 (74 download)
Download or read book A Course in Analytic Number Theory written by Marius Overholt and published by American Mathematical Soc.. This book was released on 2014-12-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Edward Barbeau
Publisher : Cambridge University Press
ISBN 13 : 9780883855232
Total Pages : 204 pages
Book Rating : 4.8/5 (552 download)
Download or read book Power Play written by Edward Barbeau and published by Cambridge University Press. This book was released on 1997-07-24 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fund of knowledge for amateur and professional mathematicians.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9401512396
Total Pages : 496 pages
Book Rating : 4.4/5 (15 download)
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathema tics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclo paedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reason ably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of pre cise theorems with detailed definitions and technical details on how to carry out proofs and con structions.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9781556080104
Total Pages : 982 pages
Book Rating : 4.0/5 (81 download)
Download or read book Encyclopaedia of Mathematics (set) written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1994-02-28 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopaedia of Mathematics is the most up-to-date, authoritative and comprehensive English-language work of reference in mathematics which exists today. With over 7,000 articles from `A-integral' to `Zygmund Class of Functions', supplemented with a wealth of complementary information, and an index volume providing thorough cross-referencing of entries of related interest, the Encyclopaedia of Mathematics offers an immediate source of reference to mathematical definitions, concepts, explanations, surveys, examples, terminology and methods. The depth and breadth of content and the straightforward, careful presentation of the information, with the emphasis on accessibility, makes the Encyclopaedia of Mathematics an immensely useful tool for all mathematicians and other scientists who use, or are confronted by, mathematics in their work. The Enclyclopaedia of Mathematics provides, without doubt, a reference source of mathematical knowledge which is unsurpassed in value and usefulness. It can be highly recommended for use in libraries of universities, research institutes, colleges and even schools.
Author : Heine Halberstam
Publisher : Courier Corporation
ISBN 13 : 0486320804
Total Pages : 386 pages
Book Rating : 4.4/5 (863 download)
Download or read book Sieve Methods written by Heine Halberstam and published by Courier Corporation. This book was released on 2013-09-26 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text by a noted pair of experts is regarded as the definitive work on sieve methods. It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications. 1974 edition.
Author : Douglas M. Considine
Publisher : Springer Science & Business Media
ISBN 13 : 1475769180
Total Pages : 3529 pages
Book Rating : 4.4/5 (757 download)
Download or read book Van Nostrand’s Scientific Encyclopedia written by Douglas M. Considine and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 3529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advancements in science and engineering have occurred at a surprisingly rapid pace since the release of the seventh edition of this encyclopedia. Large portions of the reference have required comprehensive rewriting and new illustrations. Scores of new topics have been included to create this thoroughly updated eighth edition. The appearance of this new edition in 1994 marks the continuation of a tradition commenced well over a half-century ago in 1938 Van Nostrand's Scientific Encyclopedia, First Edition, was published and welcomed by educators worldwide at a time when what we know today as modern science was just getting underway. The early encyclopedia was well received by students and educators alike during a critical time span when science became established as a major factor in shaping the progress and economy of individual nations and at the global level. A vital need existed for a permanent science reference that could be updated periodically and made conveniently available to audiences that numbered in the millions. The pioneering VNSE met these criteria and continues today as a reliable technical information source for making private and public decisions that present a backdrop of technical alternatives.
Author :
Publisher :
ISBN 13 :
Total Pages : 1108 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2005-06 with total page 1108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steven Schwartzman
Publisher : MAA
ISBN 13 : 9780883855119
Total Pages : 276 pages
Book Rating : 4.8/5 (551 download)
Download or read book The Words of Mathematics written by Steven Schwartzman and published by MAA. This book was released on 1994 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the origins of over 1500 mathematical terms used in English.
Author : Norris McWhirter
Publisher : Guinness Publishing
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Guinness Book of Answers written by Norris McWhirter and published by Guinness Publishing. This book was released on 1980 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
