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Author : Pierre Samuel
Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.3/5 (91 download)
Download or read book Théorie algébrique des nombres ... written by Pierre Samuel and published by . This book was released on 1967 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sinnou David
Publisher : Springer Science & Business Media
ISBN 13 : 9780817637415
Total Pages : 328 pages
Book Rating : 4.6/5 (374 download)
Download or read book Séminaire de Théorie Des Nombres written by Sinnou David and published by Springer Science & Business Media. This book was released on 1993-12-23 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the 13th annual volume of papers based on lectures given at the Seminaire des Nombres de Paris. The results presented here by an international group of mathematicians reflect recent work in many areas of number theory and should form a basis for further discussion on these topics.
Author : Daniel Duverney
Publisher : World Scientific
ISBN 13 : 9814307467
Total Pages : 348 pages
Book Rating : 4.8/5 (143 download)
Download or read book Number Theory written by Daniel Duverney and published by World Scientific. This book was released on 2010 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory. Clear, concise, and self-contained, the topics are covered in 12 chapters with more than 200 solved exercises. The textbook may be used by undergraduates and graduate students, as well as high school mathematics teachers. More generally, it will be suitable for all those who are interested in number theory, the fascinating branch of mathematics.
Author : Henri Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 0387499237
Total Pages : 673 pages
Book Rating : 4.3/5 (874 download)
Download or read book Number Theory written by Henri Cohen and published by Springer Science & Business Media. This book was released on 2008-10-10 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques.
Author : K. Ireland
Publisher : Springer Science & Business Media
ISBN 13 : 1475717792
Total Pages : 355 pages
Book Rating : 4.4/5 (757 download)
Download or read book A Classical Introduction to Modern Number Theory written by K. Ireland and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972. As with the first book the primary audience we envisage consists of upper level undergraduate mathematics majors and graduate students. We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra. A large portion of Chapters 1-11 can be read even without such background with the aid of a small amount of supplementary reading. The later chapters assume some knowledge of Galois theory, and in Chapters 16 and 18 an acquaintance with the theory of complex variables is necessary. Number theory is an ancient subject and its content is vast. Any intro ductory book must, of necessity, make a very limited selection from the fascinat ing array of possible topics. Our focus is on topics which point in the direction of algebraic number theory and arithmetic algebraic geometry. By a careful selection of subject matter we have found it possible to exposit some rather advanced material without requiring very much in the way oftechnical background. Most of this material is classical in the sense that is was dis covered during the nineteenth century and earlier, but it is also modern because it is intimately related to important research going on at the present time.
Author : David Dobbs
Publisher : CRC Press
ISBN 13 : 1000939634
Total Pages : 578 pages
Book Rating : 4.0/5 (9 download)
Download or read book Advances in Commutative Ring Theory written by David Dobbs and published by CRC Press. This book was released on 2023-08-25 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Presents the proceedings of the recently held Third International Conference on Commutative Ring Theory in Fez, Morocco. Details the latest developments in commutative algebra and related areas-featuring 26 original research articles and six survey articles on fundamental topics of current interest. Examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry."
Author : Paul-Jean Cahen
Publisher : CRC Press
ISBN 13 : 1000942740
Total Pages : 273 pages
Book Rating : 4.0/5 (9 download)
Download or read book Commutative Ring Theory written by Paul-Jean Cahen and published by CRC Press. This book was released on 2023-06-14 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: " Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings chain conditions, dimension theory, and Jaffard rings fiber products group rings, semigroup rings, and graded rings class groups linear groups integer-valued polynomials rings of finite fractions big Cohen-Macaulay modules and much more!"
Author : Wladyslaw Narkiewicz
Publisher : Springer Science & Business Media
ISBN 13 : 3662070014
Total Pages : 712 pages
Book Rating : 4.6/5 (62 download)
Download or read book Elementary and Analytic Theory of Algebraic Numbers written by Wladyslaw Narkiewicz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. The book also features exercises and a list of open problems.
Author : G. Longo
Publisher : Springer
ISBN 13 : 3709127300
Total Pages : 340 pages
Book Rating : 4.7/5 (91 download)
Download or read book Information Theory New Trends and Open Problems written by G. Longo and published by Springer. This book was released on 2014-05-04 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinz-Dieter Ebbinghaus
Publisher : Springer Science & Business Media
ISBN 13 : 3662090589
Total Pages : 653 pages
Book Rating : 4.6/5 (62 download)
Download or read book Ω-Bibliography of Mathematical Logic written by Heinz-Dieter Ebbinghaus and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.
Author : Marc Hindry
Publisher : Springer Science & Business Media
ISBN 13 : 1447121317
Total Pages : 334 pages
Book Rating : 4.4/5 (471 download)
Download or read book Arithmetics written by Marc Hindry and published by Springer Science & Business Media. This book was released on 2011-08-05 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, complex analysis and harmonic analysis. More recently, it has made a spectacular appearance in the field of theoretical computer science and in questions of communication, cryptography and error-correcting codes. Providing an elementary introduction to the central topics in number theory, this book spans multiple areas of research. The first part corresponds to an advanced undergraduate course. All of the statements given in this part are of course accompanied by their proofs, with perhaps the exception of some results appearing at the end of the chapters. A copious list of exercises, of varying difficulty, are also included here. The second part is of a higher level and is relevant for the first year of graduate school. It contains an introduction to elliptic curves and a chapter entitled “Developments and Open Problems”, which introduces and brings together various themes oriented toward ongoing mathematical research. Given the multifaceted nature of number theory, the primary aims of this book are to: - provide an overview of the various forms of mathematics useful for studying numbers - demonstrate the necessity of deep and classical themes such as Gauss sums - highlight the role that arithmetic plays in modern applied mathematics - include recent proofs such as the polynomial primality algorithm - approach subjects of contemporary research such as elliptic curves - illustrate the beauty of arithmetic The prerequisites for this text are undergraduate level algebra and a little topology of Rn. It will be of use to undergraduates, graduates and phd students, and may also appeal to professional mathematicians as a reference text.
Author : Herve Queffelec
Publisher : Springer
ISBN 13 : 9386279614
Total Pages : 243 pages
Book Rating : 4.3/5 (862 download)
Download or read book Diophantine Approximation and Dirichlet Series written by Herve Queffelec and published by Springer. This book was released on 2013-08-30 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book will benefit beginners as well as researchers. It is devoted to Diophantine approximation, the analytic theory of Dirichlet series, and some connections between these two domains, which often occur through the Kronecker approximation theorem. Accordingly, the book is divided into seven chapters, the first three of which present tools from commutative harmonic analysis, including a sharp form of the uncertainty principle, ergodic theory and Diophantine approximation to be used in the sequel. A presentation of continued fraction expansions, including the mixing property of the Gauss map, is given. Chapters four and five present the general theory of Dirichlet series, with classes of examples connected to continued fractions, the famous Bohr point of view, and then the use of random Dirichlet series to produce non-trivial extremal examples, including sharp forms of the Bohnenblust-Hille theorem. Chapter six deals with Hardy-Dirichlet spaces, which are new and useful Banach spaces of analytic functions in a half-plane. Finally, chapter seven presents the Bagchi-Voronin universality theorems, for the zeta function, and r-tuples of L functions. The proofs, which mix hilbertian geometry, complex and harmonic analysis, and ergodic theory, are a very good illustration of the material studied earlier.
Author : J. Ferreiros
Publisher : OUP Oxford
ISBN 13 : 0191513792
Total Pages : 456 pages
Book Rating : 4.1/5 (915 download)
Download or read book The Architecture of Modern Mathematics written by J. Ferreiros and published by OUP Oxford. This book was released on 2006-04-27 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.
Author : Antonio Aliotta
Publisher :
ISBN 13 :
Total Pages : 518 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Idealistic Reaction Against Science written by Antonio Aliotta and published by . This book was released on 1914 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Benest
Publisher : Atlantica Séguier Frontières
ISBN 13 : 9782863320914
Total Pages : 526 pages
Book Rating : 4.3/5 (29 download)
Download or read book Modern Methods in Celestial Mechanics written by Daniel Benest and published by Atlantica Séguier Frontières. This book was released on 1992 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.:/5 (321 download)
Download or read book Transactions of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1903 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.
Author : Yuri V. Nesterenko
Publisher : Springer
ISBN 13 : 3540445501
Total Pages : 257 pages
Book Rating : 4.5/5 (44 download)
Download or read book Introduction to Algebraic Independence Theory written by Yuri V. Nesterenko and published by Springer. This book was released on 2003-07-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.
