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Primes


Primes
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Prime Numbers


Prime Numbers
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Author : Richard Crandall
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Prime Numbers written by Richard Crandall 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 2012-12-06 with Mathematics categories.


Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field



The Little Book Of Bigger Primes


The Little Book Of Bigger Primes
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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-01

The Little Book Of Bigger Primes written by Paulo Ribenboim 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 2006-06-01 with Mathematics categories.


A deep understanding of prime numbers is one of the great challenges in mathematics. In this new edition, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers. Paulo Ribenboim is Professor Emeritus at Queen's University in Canada, Fellow of the Royal Society of Canada, and recipient of the George Pólya Award of the Mathematical Association of America. He is the author of 13 books and more than 150 research articles. From the reviews of the First Edition: Number Theory and mathematics as a whole will benefit from having such an accessible book exposing advanced material. There is no question that this book will succeed in exciting many new people to the beauty and fascination of prime numbers, and will probably bring more young people to research in these areas. (Andrew Granville, Zentralblatt)



Primes Associated To An Ideal


Primes Associated To An Ideal
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Author : Stephen McAdam
language : en
Publisher: American Mathematical Soc.
Release Date : 1989

Primes Associated To An Ideal written by Stephen McAdam and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.


Discusses five closely related sets of prime ideals associated to an ideal I in a Noetherian ring, the persistent, asymptotic, quintasymptotic, essential, and quintessential primes of I. Requires a standard year course in commutative ring theory. Annotation copyright Book News, Inc. Portland, Or.



The Life Of Primes In 37 Episodes


The Life Of Primes In 37 Episodes
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Author : Jean-Marie De Koninck
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-05-19

The Life Of Primes In 37 Episodes written by Jean-Marie De Koninck and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-19 with Education categories.


This book is about the life of primes. Indeed, once they are defined, primes take on a life of their own and the mysteries surrounding them begin multiplying, just like living cells reproduce themselves, and there seems to be no end to it. This monograph takes the reader on a journey through time, providing an accessible overview of the numerous prime number theory problems that mathematicians have been working on since Euclid. Topics are presented in chronological order as episodes. These include results on the distribution of primes, from the most elementary to the proof of the famous prime number theorem. The book also covers various primality tests and factorisation algorithms. It is then shown how our inability to factor large integers has allowed mathematicians to create today's most secure encryption method. Computer science buffs may be tempted to tackle some of the many open problems appearing in the episodes. Throughout the presentation, the human side of mathematics is displayed through short biographies that give a glimpse of the lives of the people who contributed to the life of primes. Each of the 37 episodes concludes with a series of problems (many with solutions) that will assist the reader in gaining a better understanding of the theory.



The Distribution Of Prime Numbers


The Distribution Of Prime Numbers
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Author : Dimitris Koukoulopoulos
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-12-06

The Distribution Of Prime Numbers written by Dimitris Koukoulopoulos and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Education categories.


Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem. Throughout, the emphasis has been placed on explaining the main ideas rather than the most general results available. As a result, several methods are presented in terms of concrete examples that simplify technical details, and theorems are stated in a form that facilitates the understanding of their proof at the cost of sacrificing some generality. Each chapter concludes with numerous exercises of various levels of difficulty aimed to exemplify the material, as well as to expose the readers to more advanced topics and point them to further reading sources.



The Call Of The Primes


The Call Of The Primes
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Author : Owen O'Shea
language : en
Publisher: Prometheus Books
Release Date : 2016-03-29

The Call Of The Primes written by Owen O'Shea and has been published by Prometheus Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-29 with Mathematics categories.


This sampler of entertaining mathematical diversions reveals the elegance and extraordinary usefulness of mathematics for readers who think they have no aptitude for the subject. If you like any kind of game at all, you’ll enjoy the amazing mathematical puzzles and patterns presented here in straightforward terms that any layperson can understand. From magic squares and the mysterious qualities of prime numbers to Pythagorean triples, probability theory, the Fibonacci sequence, and more, the author shows that math can be fun while having some profound implications. Such ubiquitous mathematical entities as pi and the Fibonacci numbers are found throughout the natural world and are also the foundation of our technological civilization. By exploring the intriguing games presented here, you’ll come away with a greater appreciation for the beauty and importance of these and many more math concepts. This is the perfect book for people who were turned off by math in school but now as adults wonder what they may have missed.



The Distribution Of Prime Numbers


The Distribution Of Prime Numbers
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Author : Albert Edward Ingham
language : en
Publisher: Cambridge University Press
Release Date : 1990-09-28

The Distribution Of Prime Numbers written by Albert Edward Ingham 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 1990-09-28 with Mathematics categories.


Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.



The Music Of The Primes Why An Unsolved Problem In Mathematics Matters Text Only


The Music Of The Primes Why An Unsolved Problem In Mathematics Matters Text Only
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Author : Marcus du Sautoy
language : en
Publisher: HarperCollins UK
Release Date : 2012-05-31

The Music Of The Primes Why An Unsolved Problem In Mathematics Matters Text Only written by Marcus du Sautoy and has been published by HarperCollins UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-31 with Science categories.


(This ebook contains a limited number of illustrations.) The ebook of the critically-acclaimed popular science book by a writer who is fast becoming a celebrity mathematician.



Prime Recreations


Prime Recreations
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Author : Bruce Pyne
language : en
Publisher: Page Publishing Inc
Release Date : 2020-11-09

Prime Recreations written by Bruce Pyne and has been published by Page Publishing Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-09 with Mathematics categories.


Bruce has created a work totally unique among books of this type. He chose to number his chapters with prime numbers and cover material not seen anywhere else. Particularly interesting are his chapters on digit patterns and primes forming triangles. Nearly half of the length of the book is devoted to eleven (a prime number) chapters of lists of primes. Here, the reader will find a delightful and motley mélange of unlikely subjects, many with clever titles, and all alphabetically arranged. Incl



The Little Book Of Bigger Primes


The Little Book Of Bigger Primes
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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 1991

The Little Book Of Bigger Primes written by Paulo Ribenboim 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 1991 with Mathematics categories.