Diophantine Discoveries Fundamentals

Author : N.B. Singh
Publisher : N.B. Singh
ISBN 13 :
Total Pages : 63 pages
Book Rating : 4./5 ( download)

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Download or read book Diophantine Discoveries Fundamentals written by N.B. Singh and published by N.B. Singh. This book was released on with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Diophantine Discoveries Fundamentals" is a beginner-friendly exploration of the captivating world of Diophantine equations, designed for those with no prior mathematical background. Delving into the realm of mathematical puzzles, this book offers clear and accessible explanations of Diophantine equations, starting from the basics and gradually building up the reader's understanding. Through engaging examples and straightforward language, readers are introduced to the fascinating concepts of finding whole number solutions to polynomial equations. From the historical significance of Diophantine equations to their applications in various fields such as number theory, algebra, and cryptography, this book serves as an inviting gateway for curious minds to unravel the mysteries of mathematics. Whether you're a student eager to expand your mathematical knowledge or simply someone with a passion for learning, "Diophantine Discoveries Fundamentals" provides an enjoyable and educational journey into the heart of mathematical exploration.

Author : N.B. Singh
Publisher : N.B. Singh
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4./5 ( download)

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Download or read book Diophantine Discoveries written by N.B. Singh and published by N.B. Singh. This book was released on with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Diophantine Discoveries" is a captivating exploration of the world of Diophantine equations, showcasing the beauty and intellectual allure of these mathematical puzzles. Written with clarity and enthusiasm, the book guides readers through the historical and contemporary significance of Diophantine equations, illuminating the ingenious methods and solutions developed by mathematicians over the centuries. From Fermat's Last Theorem to modern applications, the book provides a concise and engaging journey into the realm of Diophantine equations, making the subject accessible to both mathematicians and curious minds alik

Author : Michal Křížek
Publisher : Springer Nature
ISBN 13 : 3030838994
Total Pages : 342 pages
Book Rating : 4.97/5 ( download)

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Download or read book From Great Discoveries in Number Theory to Applications written by Michal Křížek and published by Springer Nature. This book was released on 2021-09-21 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of many interesting properties of natural numbers, demonstrating their applications in areas such as cryptography, geometry, astronomy, mechanics, computer science, and recreational mathematics. In particular, it presents the main ideas of error-detecting and error-correcting codes, digital signatures, hashing functions, generators of pseudorandom numbers, and the RSA method based on large prime numbers. A diverse array of topics is covered, from the properties and applications of prime numbers, some surprising connections between number theory and graph theory, pseudoprimes, Fibonacci and Lucas numbers, and the construction of Magic and Latin squares, to the mathematics behind Prague’s astronomical clock. Introducing a general mathematical audience to some of the basic ideas and algebraic methods connected with various types of natural numbers, the book will provide invaluable reading for amateurs and professionals alike.

Author : Robert Daniel Carmichael
Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.98/5 ( download)

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Download or read book Diophantine Analysis written by Robert Daniel Carmichael and published by . This book was released on 1915 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Richard A. Mollin
Publisher : CRC Press
ISBN 13 : 1420066617
Total Pages : 382 pages
Book Rating : 4.16/5 ( download)

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Download or read book Fundamental Number Theory with Applications written by Richard A. Mollin and published by CRC Press. This book was released on 2008-02-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Mark Burgin
Publisher : World Scientific
ISBN 13 : 9811236852
Total Pages : 370 pages
Book Rating : 4.53/5 ( download)

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Download or read book Trilogy Of Numbers And Arithmetic - Book 1: History Of Numbers And Arithmetic: An Information Perspective written by Mark Burgin and published by World Scientific. This book was released on 2022-04-22 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.

Author : Guanrong Chen
Publisher : John Wiley & Sons
ISBN 13 : 1118718135
Total Pages : 392 pages
Book Rating : 4.31/5 ( download)

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Download or read book Fundamentals of Complex Networks written by Guanrong Chen and published by John Wiley & Sons. This book was released on 2014-12-22 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex networks such as the Internet, WWW, transportation networks, power grids, biological neural networks, and scientific cooperation networks of all kinds provide challenges for future technological development. • The first systematic presentation of dynamical evolving networks, with many up-to-date applications and homework projects to enhance study • The authors are all very active and well-known in the rapidly evolving field of complex networks • Complex networks are becoming an increasingly important area of research • Presented in a logical, constructive style, from basic through to complex, examining algorithms, through to construct networks and research challenges of the future

Author : Richard A. Mollin
Publisher : CRC Press
ISBN 13 : 9780849339875
Total Pages : 472 pages
Book Rating : 4.71/5 ( download)

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Download or read book Fundamental Number Theory with Applications written by Richard A. Mollin and published by CRC Press. This book was released on 1997-09-10 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with the arithmetic of the rational integers and proceeding to an introduction of algebraic number theory via quadratic orders, Fundamental Number Theory with Applications reveals intriguing new applications of number theory. This text details aspects of computer science related to cryptography factoring primality testing complexity analysis computer arithmetic computational number theory Fundamental Number Theory with Applications also covers: Carmichael numbers Dirichlet products Jacobsthal sums Mersenne primes perfect numbers powerful numbers self-contained numbers Numerous exercises are included, testing the reader's knowledge of the concepts covered, introducing new and interesting topics, and providing a venue to learn background material. Written by a professor and author who is an accomplished scholar in this field, this book provides the material essential for an introduction to the fundamentals of number theory.

Author : Ivor Grattan-Guiness
Publisher : Routledge
ISBN 13 : 1134887558
Total Pages : 571 pages
Book Rating : 4.52/5 ( download)

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Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guiness and published by Routledge. This book was released on 2004-11-11 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

Author : William Mark Goldman
Publisher : American Mathematical Soc.
ISBN 13 : 0821850822
Total Pages : 330 pages
Book Rating : 4.24/5 ( download)

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Download or read book Geometry of Group Representations written by William Mark Goldman and published by American Mathematical Soc.. This book was released on 1988 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains papers based on talks delivered at the AMS-IMS-SIAM Summer Research Conference on the Geometry of Group Representations, held at the University of Colorado in Boulder in July 1987. This work offers an understanding of the state of research in the geometry of group representations and their applications.