The Symphony Of Primes Distribution Of Primes And Riemann S Hypothesis
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The Symphony Of Primes Distribution Of Primes And Riemann S Hypothesis
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Author : Jan Feliksiak
language : en
Publisher: Xlibris Corporation
Release Date : 2013-03-14
The Symphony Of Primes Distribution Of Primes And Riemann S Hypothesis written by Jan Feliksiak and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Education categories.
This book presents research results concerning the distribution of prime numbers. The first major result discussed is the supremum for the maximal prime gaps. By an implementation of a binomial coefficient the maximal prime gaps supremum bound is proved, simultaneously establishing the infimum for primes in the short interval. Subsequently, a novel application of the theory of the primorial function establishes the tailored logarithmic integral, which is a superior adaptation of the classical Gauss' logarithmic integral. The tailored integral due to its radically improved accuracy over the Gauss' logarithmic integral, constitutes the supremum bound of estimation of the prime counting function. It presents the possibility to estimate the prime counting function with unprecedented accuracy.
The Riemann Hypothesis And The Distribution Of Prime Numbers
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Author : Naji Arwashan, PhD, PE
language : en
Publisher: Nova Science Publishers
Release Date : 2021-04-15
The Riemann Hypothesis And The Distribution Of Prime Numbers written by Naji Arwashan, PhD, PE and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-15 with Mathematics categories.
This book is an introductory and comprehensive presentation of the Riemann Hypothesis, one of the most important open questions in math today. It is introductory because it is written in an accessible and detailed format that makes it easy to read and understand. And it is comprehensive because it explains and proves all the mathematical ideas surrounding and leading to the formulation of the hypothesis.
What S Happening In The Mathematical Sciences
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Author : Barry Cipra
language : en
Publisher: American Mathematical Soc.
Release Date :
What S Happening In The Mathematical Sciences written by Barry Cipra 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 with Science categories.
Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
What S Happening In The Mathematical Sciences Volume 4
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Author : Barry Cipra
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
What S Happening In The Mathematical Sciences Volume 4 written by Barry Cipra 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 1999 with Mathematics categories.
This volume is fourth in the much-acclaimed 'AMS' series, ""What's Happening in the Mathematical Sciences"". The lively style and in-depth coverage of some of the most important 'happenings' in mathematics today make this publication a delightful and intriguing read accessible to a wide audience. High school students, professors, researchers, engineers, statisticians, computer scientists - anyone with an interest in mathematics - will find captivating material in this book. As we enter the 21st century, ""What's Happening"" presents the state of modern mathematics and its worldwide significance in a timely and enduring fashion.Featured articles include: 'From Wired to Weird', on advances that are encouraging research in quantum computation; 'A Prime Case of Chaos', on new connections between number theory and theoretical physics; 'Beetlemania: Chaos in Ecology', on new evidence for chaotic dynamics in an actual population; 'A Blue-Letter Day for Computer Chess', on the mathematics underlying Deep Blue's victory over Garry Kasparov; and, much more!
Against The Day
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Author : Thomas Pynchon
language : en
Publisher: Penguin
Release Date : 2012-06-13
Against The Day written by Thomas Pynchon and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-13 with Fiction categories.
“[Pynchon's] funniest and arguably his most accessible novel.” —The New York Times Book Review “Raunchy, funny, digressive, brilliant.” —USA Today “Rich and sweeping, wild and thrilling.” —The Boston Globe Spanning the era between the Chicago World's Fair of 1893 and the years just after World War I, and constantly moving between locations across the globe (and to a few places not strictly speaking on the map at all), Against the Day unfolds with a phantasmagoria of characters that includes anarchists, balloonists, drug enthusiasts, mathematicians, mad scientists, shamans, spies, and hired guns. As an era of uncertainty comes crashing down around their ears and an unpredictable future commences, these folks are mostly just trying to pursue their lives. Sometimes they manage to catch up; sometimes it's their lives that pursue them.
Generatingfunctionology
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Author : Herbert S. Wilf
language : en
Publisher: CRC Press
Release Date : 2005-12-20
Generatingfunctionology written by Herbert S. Wilf and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-20 with Computers categories.
Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in - Combinatorics - Probability Theory - Statistics - Theory of Markov Chains - Number Theory One of the most important and relevant recent applications of combinatorics lies in the development of Internet search engines whose incredible capabilities dazzle even the mathematically trained user.
My Search For Ramanujan
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Author : Ken Ono
language : en
Publisher: Springer
Release Date : 2016-04-20
My Search For Ramanujan written by Ken Ono and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-20 with Mathematics categories.
"The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father’s approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Ramanujan, whom his father revered, who had twice flunked out of college because of his single-minded devotion to mathematics. Ono describes his rocky path through college and graduate school, interweaving Ramanujan’s story with his own and telling how at key moments, he was inspired by Ramanujan and guided by mentors who encouraged him to pursue his interest in exploring Ramanujan’s mathematical legacy. Picking up where others left off, beginning with the great English mathematician G.H. Hardy, who brought Ramanujan to Cambridge in 1914, Ono has devoted his mathematical career to understanding how in his short life, Ramanujan was able to discover so many deep mathematical truths, which Ramanujan believed had been sent to him as visions from a Hindu goddess. And it was Ramanujan who was ultimately the source of reconciliation between Ono and his parents. Ono’s search for Ramanujan ranges over three continents and crosses paths with mathematicians whose lives span the globe and the entire twentieth century and beyond. Along the way, Ken made many fascinating discoveries. The most important and surprising one of all was his own humanity."
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.
Incompleteness
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Author : Rebecca Goldstein
language : en
Publisher: W. W. Norton & Company
Release Date : 2006-01-31
Incompleteness written by Rebecca Goldstein and has been published by W. W. Norton & Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-31 with Biography & Autobiography categories.
"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.
Music A Mathematical Offering
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Author : Dave Benson
language : en
Publisher: Cambridge University Press
Release Date : 2007
Music A Mathematical Offering written by Dave Benson 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 2007 with Mathematics categories.
This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.