Advanced Number Theory With Applications
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Advanced Number Theory With Applications
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Author : Richard A. Mollin
language : en
Publisher:
Release Date : 2010
Advanced Number Theory With Applications written by Richard A. Mollin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Number theory categories.
"Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page reference for every citing in the bibliography and more than 1,500 entries in the index so that students can easily cross-reference and find the appropriate data. With numerous examples throughout, the text begins with coverage of algebraic number theory, binary quadratic forms, Diophantine approximation, arithmetic functions, p-adic analysis, Dirichlet characters, density, and primes in arithmetic progression. It then applies these tools to Diophantine equations, before developing elliptic curves and modular forms. The text also presents an overview of Fermat's Last Theorem (FLT) and numerous consequences of the ABC conjecture, including Thue-Siegel-Roth theorem, Hall's conjecture, the Erdos-Mollin--Walsh conjecture, and the Granville-Langevin Conjecture. In the appendix, the author reviews sieve methods, such as Eratothesenes', Selberg's, Linnik's, and Bombieri's sieves. He also discusses recent results on gaps between primes and the use of sieves in factoring. By focusing on salient techniques in number theory, this textbook provides the most up-to-date and comprehensive material for a second course in this field. It prepares students for future study at the graduate level." -- Publisher.
Advanced Number Theory
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Author : Harvey Cohn
language : en
Publisher: Courier Corporation
Release Date : 2012-05-04
Advanced Number Theory written by Harvey Cohn and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-04 with Mathematics categories.
Eminent mathematician/teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, and theories have evolved during last two centuries. Features over 200 problems and specific theorems. Includes numerous graphs and tables.
Advanced Number Theory With Applications
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Author : Richard A. Mollin
language : en
Publisher: CRC Press
Release Date : 2009-08-26
Advanced Number Theory With Applications written by Richard A. Mollin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-26 with Computers categories.
Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page reference for every citing in the bibliography and mo
Fundamental Number Theory With Applications
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Author : Richard A. Mollin
language : en
Publisher: CRC Press
Release Date : 2008-02-21
Fundamental Number Theory With Applications written by Richard A. Mollin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-21 with Mathematics categories.
An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject. The substantial amount of reorganizing makes this edition clearer and more elementary in its coverage. New to the Second Edition • Removal of all advanced material to be even more accessible in scope • New fundamental material, including partition theory, generating functions, and combinatorial number theory • Expanded coverage of random number generation, Diophantine analysis, and additive number theory • More applications to cryptography, primality testing, and factoring • An appendix on the recently discovered unconditional deterministic polynomial-time algorithm for primality testing Taking a truly elementary approach to number theory, this text supplies the essential material for a first course on the subject. Placed in highlighted boxes to reduce distraction from the main text, nearly 70 biographies focus on major contributors to the field. The presentation of over 1,300 entries in the index maximizes cross-referencing so students can find data with ease.
Solutions Manual Advanced Number Theory With Applications
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Author : Taylor & Francis Group
language : en
Publisher: Chapman & Hall
Release Date : 2009-07-28
Solutions Manual Advanced Number Theory With Applications written by Taylor & Francis Group and has been published by Chapman & Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-28 with categories.
Provides an advanced treatment of number theory. After an introduction to algebraic number theory, this book focuses on ideals and quadratic forms, offering an advanced view of arithmetic functions, including coverage of p-sidic analysis, Gauss sums, the Dirichlet theorem, elliptic curve cryptography, Diophantine equations, and sieve methods.
Elementary Number Theory With Programming
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Author : Marty Lewinter
language : en
Publisher: John Wiley & Sons
Release Date : 2015-06-02
Elementary Number Theory With Programming written by Marty Lewinter and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-02 with Mathematics categories.
A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts in the fields of computer science and mathematics, the book features accessible coverage for readers with various levels of experience and explores number theory in the context of programming without relying on advanced prerequisite knowledge and concepts in either area. Elementary Number Theory with Programming features comprehensive coverage of the methodology and applications of the most well-known theorems, problems, and concepts in number theory. Using standard mathematical applications within the programming field, the book presents modular arithmetic and prime decomposition, which are the basis of the public-private key system of cryptography. In addition, the book includes: Numerous examples, exercises, and research challenges in each chapter to encourage readers to work through the discussed concepts and ideas Select solutions to the chapter exercises in an appendix Plentiful sample computer programs to aid comprehension of the presented material for readers who have either never done any programming or need to improve their existing skill set A related website with links to select exercises An Instructor’s Solutions Manual available on a companion website Elementary Number Theory with Programming is a useful textbook for undergraduate and graduate-level students majoring in mathematics or computer science, as well as an excellent supplement for teachers and students who would like to better understand and appreciate number theory and computer programming. The book is also an ideal reference for computer scientists, programmers, and researchers interested in the mathematical applications of programming.
Algebraic Number Theory
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Author : Richard A. Mollin
language : en
Publisher: CRC Press
Release Date : 2011-01-05
Algebraic Number Theory written by Richard A. Mollin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-05 with Computers categories.
Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. It offers a more complete and involved treatment of Galois theory, a more comprehensive section on Pollard's cubic factoring algorithm, and more detailed explanations of proofs to provide a sound understanding of challenging material. This edition also studies binary quadratic forms and compares the ideal and form class groups. The text includes convenient cross-referencing, a comprehensive index, and numerous exercises and applications.
Number Theory With Applications
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Author : James Andrew Anderson
language : en
Publisher: Pearson
Release Date : 1997
Number Theory With Applications written by James Andrew Anderson and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
For undergraduate courses in Number Theory for mathematics, computer science, and engineering majors. Ideal for students of varying mathematical sophistication, this text provides a self-contained logical development of basic number theory, supplemented with numerous applications and advanced topics.
Introduction To Number Theory
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Author : Anthony Vazzana
language : en
Publisher: CRC Press
Release Date : 2007-10-30
Introduction To Number Theory written by Anthony Vazzana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-30 with Mathematics categories.
One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topics. This classroom-tested, student-friendly text covers a wide range of subjects, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments that include cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments. The book interweaves the theoretical development of the material with Mathematica® and MapleTM calculations while giving brief tutorials on the software in the appendices. Highlighting both fundamental and advanced topics, this introduction provides all of the tools to achieve a solid foundation in number theory.
Advanced Number Theory
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Author : Harvey Cohn
language : en
Publisher:
Release Date : 1962
Advanced Number Theory written by Harvey Cohn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with categories.