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Author :
Publisher :
ISBN 13 :
Total Pages : 143 pages
Book Rating : 4.:/5 (62 download)
Download or read book Einführung in die Elementare und analytische Theorie der algebraischen Zahlen und der Ideale written by and published by . This book was released on 1918 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edmund Landau
Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.3/5 (91 download)
Download or read book Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale written by Edmund Landau and published by . This book was released on 1918 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edmund Landau
Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.3/5 (91 download)
Download or read book Einführung in Die Elementare und Analytische Theorie Der Algebraischen Zahlen und Der Ideale written by Edmund Landau and published by . This book was released on 1918 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edmund Landau
Publisher :
ISBN 13 :
Total Pages : 147 pages
Book Rating : 4.:/5 (768 download)
Download or read book Einführung in die elemetare und analytische Theorie der algebraischen Zahlen und der Ideale written by Edmund Landau and published by . This book was released on 1927 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Godfrey Harold Hardy
Publisher : Oxford University Press
ISBN 13 : 9780198531715
Total Pages : 456 pages
Book Rating : 4.5/5 (317 download)
Download or read book An Introduction to the Theory of Numbers written by Godfrey Harold Hardy and published by Oxford University Press. This book was released on 1979 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fifth edition of a work (first published in 1938) which has become the standard introduction to the subject. The book has grown out of lectures delivered by the authors at Oxford, Cambridge, Aberdeen, and other universities. It is neither a systematic treatise on the theory ofnumbers nor a 'popular' book for non-mathematical readers. It contains short accounts of the elements of many different sides of the theory, not usually combined in a single volume; and, although it is written for mathematicians, the range of mathematical knowledge presupposed is not greater thanthat of an intelligent first-year student. In this edition the main changes are in the notes at the end of each chapter; Sir Edward Wright seeks to provide up-to-date references for the reader who wishes to pursue a particular topic further and to present, both in the notes and in the text, areasonably accurate account of the present state of knowledge.
Author : Hermann Weyl
Publisher : Princeton University Press
ISBN 13 : 9780691059174
Total Pages : 244 pages
Book Rating : 4.0/5 (591 download)
Download or read book Algebraic Theory of Numbers written by Hermann Weyl and published by Princeton University Press. This book was released on 1998 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work explores the fundamental concepts in arithmetic. It begins with the definitions and properties of algebraic fields. The theory of divisibility is then discussed. There follows an introduction to p-adic numbers and then culminates with an extensive examination of algebraic number fields.
Author : Knopfmacher
Publisher : Newnes
ISBN 13 : 0444107797
Total Pages : 321 pages
Book Rating : 4.4/5 (441 download)
Download or read book Abstract analytic number theory written by Knopfmacher and published by Newnes. This book was released on 2009-02-04 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: North-Holland Mathematical Library, Volume 12: Abstract Analytic Number Theory focuses on the approaches, methodologies, and principles of the abstract analytic number theory. The publication first deals with arithmetical semigroups, arithmetical functions, and enumeration problems. Discussions focus on special functions and additive arithmetical semigroups, enumeration and zeta functions in special cases, infinite sums and products, double series and products, integral domains and arithmetical semigroups, and categories satisfying theorems of the Krull-Schmidt type. The text then ponders on semigroups satisfying Axiom A, asymptotic enumeration and "statistical" properties of arithmetical functions, and abstract prime number theorem. Topics include asymptotic properties of prime-divisor functions, maximum and minimum orders of magnitude of certain functions, asymptotic enumeration in certain categories, distribution functions of prime-independent functions, and approximate average values of special arithmetical functions. The manuscript takes a look at arithmetical formations, additive arithmetical semigroups, and Fourier analysis of arithmetical functions, including Fourier theory of almost even functions, additive abstract prime number theorem, asymptotic average values and densities, and average values of arithmetical functions over a class. The book is a vital reference for researchers interested in the abstract analytic number theory.
Author : Władysław Narkiewicz
Publisher : Springer
ISBN 13 : 3030037541
Total Pages : 443 pages
Book Rating : 4.0/5 (3 download)
Download or read book The Story of Algebraic Numbers in the First Half of the 20th Century written by Władysław Narkiewicz and published by Springer. This book was released on 2019-01-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period. The reader will get information about results obtained before 1950. It is hoped that this may be helpful in preventing rediscoveries of old results, and might also inspire the reader to look at the work done earlier, which may hide some ideas which could be applied in contemporary research.
Author : Hermann Weyl
Publisher : Princeton University Press
ISBN 13 : 140088280X
Total Pages : 240 pages
Book Rating : 4.4/5 (8 download)
Download or read book Algebraic Theory of Numbers. (AM-1), Volume 1 written by Hermann Weyl and published by Princeton University Press. This book was released on 2016-04-21 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather than by the use of ideals. There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields. Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition.
Author : E. T. Hecke
Publisher : Springer Science & Business Media
ISBN 13 : 1475740921
Total Pages : 251 pages
Book Rating : 4.4/5 (757 download)
Download or read book Lectures on the Theory of Algebraic Numbers written by E. T. Hecke and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: . . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task. " We have tried to remain as close as possible to the original text in pre serving Heeke's rich, informal style of exposition. In a very few instances we have substituted modern terminology for Heeke's, e. g. , "torsion free group" for "pure group. " One problem for a student is the lack of exercises in the book. However, given the large number of texts available in algebraic number theory, this is not a serious drawback. In particular we recommend Number Fields by D. A. Marcus (Springer-Verlag) as a particularly rich source. We would like to thank James M. Vaughn Jr. and the Vaughn Foundation Fund for their encouragement and generous support of Jay R. Goldman without which this translation would never have appeared. Minneapolis George U. Brauer July 1981 Jay R.
Author : Harvey Cohn
Publisher : CUP Archive
ISBN 13 : 9780521247627
Total Pages : 232 pages
Book Rating : 4.2/5 (476 download)
Download or read book Introduction to the Construction of Class Fields written by Harvey Cohn and published by CUP Archive. This book was released on 1985-08-30 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this graduate level textbook, Professor Cohn takes a problem that Pythagoras could have posed, and using it as motivation, develops a constructional introduction to classical field theory and modular function theory. The interest in constructional techniques has increased recently with the advent of cheap and plentiful computer technology. The beginning chapters provide the motivation and necessary background in elementary algebraic number theory and Riemann surface theory. The ideas and results are then applied and extended to class field theory. In the later chapters, more specialized results are presented, with full proofs, though the author emphasizes, with examples, the relation of the material to other parts of mathematics.
Author : W. W. L. Chen
Publisher : Cambridge University Press
ISBN 13 : 0521515386
Total Pages : 493 pages
Book Rating : 4.5/5 (215 download)
Download or read book Analytic Number Theory written by W. W. L. Chen and published by Cambridge University Press. This book was released on 2009-02-19 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers inspired by the work of Britain's first Fields Medallist, Klaus Roth.
Author : Władysław Narkiewicz
Publisher : Springer Science & Business Media
ISBN 13 : 0857295322
Total Pages : 659 pages
Book Rating : 4.8/5 (572 download)
Download or read book Rational Number Theory in the 20th Century written by Władysław Narkiewicz and published by Springer Science & Business Media. This book was released on 2011-09-02 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.
Author : Komaravolu Chandrasekharan
Publisher : Springer Science & Business Media
ISBN 13 : 3642522440
Total Pages : 199 pages
Book Rating : 4.6/5 (425 download)
Download or read book Elliptic Functions written by Komaravolu Chandrasekharan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during the summer semester of 1982. Its aim is to give some idea of the theory of elliptic functions, and of its close connexion with theta-functions and modular functions, and to show how it provides an analytic approach to the solution of some classical problems in the theory of numbers. It comprises eleven chapters. The first seven are function-theoretic, and the next four concern arithmetical applications. There are Notes at the end of every chapter, which contain references to the literature, comments on the text, and on the ramifications, old and new, of the problems dealt with, some of them extending into cognate fields. The treatment is self-contained, and makes no special demand on the reader's knowledge beyond the elements of complex analysis in one variable, and of group theory.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 518 pages
Book Rating : 4.:/5 (321 download)
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1919 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 518 pages
Book Rating : 4.0/5 ( download)
Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 1919 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 530 pages
Book Rating : 4.:/5 (321 download)
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1919 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes section "Recent publications."
