One Hundred Ways To Number Theory Volume 1
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One Hundred Ways To Number Theory Volume 1
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Author : Firas Kaabi
language : en
Publisher: Independently Published
Release Date : 2023-08-19
One Hundred Ways To Number Theory Volume 1 written by Firas Kaabi and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-19 with categories.
In this book, multiple exercises on number theory are provided along with their solutions. We aim to cover all areas of this discipline. The primary objective of this book is to provide an accessible introduction to number theory, covering essential concepts, techniques, and theorems. Through a combination of examples and exercises, readers will develop a solid foundation in number theory and gain the necessary skills to solve problems and explore advanced topics. the difficulty level is indicated, ranging from easy to medium, difficult, and very difficult. The reader is given the freedom to choose the appropriate difficulty level from the 50 exercises presented in this first volume. The remaining 50 exercises will be presented in Volume 2. With both volumes, the reader will have a total of 100 number theory exercises, hence the title of the book.
Lectures In Logic And Set Theory Volume 1 Mathematical Logic
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Author : George Tourlakis
language : en
Publisher: Cambridge University Press
Release Date : 2003-01-09
Lectures In Logic And Set Theory Volume 1 Mathematical Logic written by George Tourlakis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-09 with Mathematics categories.
This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume 1 includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem.
Algorithms And Theory Of Computation Handbook Volume 1
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Author : Mikhail J. Atallah
language : en
Publisher: CRC Press
Release Date : 2009-11-20
Algorithms And Theory Of Computation Handbook Volume 1 written by Mikhail J. Atallah and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-20 with Computers categories.
Algorithms and Theory of Computation Handbook, Second Edition: General Concepts and Techniques provides an up-to-date compendium of fundamental computer science topics and techniques. It also illustrates how the topics and techniques come together to deliver efficient solutions to important practical problems. Along with updating and revising many
Algorithmic Number Theory
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Author : Wieb Bosma
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-06-21
Algorithmic Number Theory written by Wieb Bosma and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-21 with Computers categories.
This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000. The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums.
An Introduction To Commutative Algebra And Number Theory
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Author : Sukumar Das Adhikari
language : en
Publisher: CRC Press
Release Date : 2001-11
An Introduction To Commutative Algebra And Number Theory written by Sukumar Das Adhikari and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11 with Mathematics categories.
This is an elementary introduction to algebra and number theory. The text begins by a review of groups, rings, and fields. The algebra portion addresses polynomial rings, UFD, PID, and Euclidean domains, field extensions, modules, and Dedckind domains. The number theory portion reviews elementary congruence, quadratic reciprocity, algebraic number fields, and a glimpse into the various aspects of that subject. This book could be used as a one semester course in graduate mathematics.
Number Theory I
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Author : Yu. I. Manin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Number Theory I written by Yu. I. Manin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
A unified survey of both the status quo and the continuing trends of various branches of number theory. Motivated by elementary problems, the authors present todays most significant results and methods. Topics covered include non-Abelian generalisations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. The book is rounded off with an overview of the major conjectures, most of which are based on analogies between functions and numbers, and on connections with other branches of mathematics such as analysis, representation theory, geometry and algebraic topology.
Mathematical Thought From Ancient To Modern Times Volume 3
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Author : Morris Kline
language : en
Publisher: Oxford University Press
Release Date : 1990-03-01
Mathematical Thought From Ancient To Modern Times Volume 3 written by Morris Kline and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-03-01 with Mathematics categories.
This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.
Number Theory
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Author : Henri Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-17
Number Theory written by Henri Cohen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-17 with Mathematics categories.
This book deals with several aspects of what is now called "explicit number theory." The central theme 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 local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject.
Lectures In Logic And Set Theory Volume 2 Set Theory
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Author : George Tourlakis
language : en
Publisher: Cambridge University Press
Release Date : 2003-02-13
Lectures In Logic And Set Theory Volume 2 Set Theory written by George Tourlakis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-13 with Mathematics categories.
This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing.
One Hundred Years Of Russell S Paradox
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Author : Godehard Link
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22
One Hundred Years Of Russell S Paradox written by Godehard Link and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.
The papers collected in this volume represent the main body of research arising from the International Munich Centenary Conference in 2001, which commemorated the discovery of the famous Russell Paradox a hundred years ago. The 31 contributions and the introductory essay by the editor were (with two exceptions) all originally written for the volume. The volume serves a twofold purpose, historical and systematic. One focus is on Bertrand Russell's logic and logical philosophy, taking into account the rich sources of the Russell Archives, many of which have become available only recently. The second equally important aim is to present original research in the broad range of foundational studies that draws on both current conceptions and recent technical advances in the above-mentioned fields. The volume contributes therefore, to the well-established body of mathematical philosophy initiated to a large extent by Russell's work.