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Rigorous Proofs For Riemann Hypothesis Polignacs And Twin Prime Conjectures In 2020
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Book Synopsis Rigorous Proofs for Riemann Hypothesis, Polignac's and Twin Prime Conjectures in 2020 by : John Yuk Ching Ting
Download or read book Rigorous Proofs for Riemann Hypothesis, Polignac's and Twin Prime Conjectures in 2020 written by John Yuk Ching Ting and published by . This book was released on 2020-01-15 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Rigorous proofs for Riemann hypothesis (and explaining the two types of Gram points in Riemann zeta function), Polignac's and Twin prime conjectures now explicitly explained in one research paper using concepts such as Broken Symmetry and Perfect Symmetry in 2020. Proceeds from the purchase of this book will go towards conducting ongoing scientific research for benefits of all humanity." -- Author.
Book Synopsis Highlighting Langlands Program with Broken Symmetry for 2020 Bestseller by : John Ting
Download or read book Highlighting Langlands Program with Broken Symmetry for 2020 Bestseller written by John Ting and published by . This book was released on 2019-12-31 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biasedly considered to be one of the author's penultimate books published here [albeit titled with unquantifiable barometer to become a bestseller book projected to occur in 2020], this book is associated with co-author Albert (Pseudonym) Einstein. Its contents explain how we derive rigorous proofs for three famous open problems Riemann hypothesis, Polignac's and Twin prime conjectures in forward and reverse direction. The reverse engineered proofs should and must be a formality with this process furthermore providing invaluable insights into these three open problems which are classified as Incompletely Predictable problems. Deep connections exist between Mathematics, Science, Medicine, Pharmacology, Laboratory tests, Physiology and Religion. Alphabet and Language of Science are important mathematical frameworks emphasizing their crucial "Universal Language" role in building the innovative 'Spherical Model of Science' and 'Spherical Model of Numbers. A chapter is dedicated to explaining the Fundamental Laws of Nature. The exotic A228186 Hybrid integer is also outlined in one of the chapters. Monstrous Moonshine and E-Commerce Apocalypse are written as materials that speculate on important role of Umbral ("Shadow"), Mathieu and Monstrous Moonshine in String theory potentially uniting Einstein's famous General Relativity and Quantum gravity, and refute a common misconception that solving Riemann hypothesis will lead to E-Commerce apocalypse.
Book Synopsis Riemann's Influence on Modern Medicine, Physiology, Science, Mathematics and Religion by : John Ting
Download or read book Riemann's Influence on Modern Medicine, Physiology, Science, Mathematics and Religion written by John Ting and published by Independently Published. This book was released on 2019-08-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book caters for the general public. Solving Riemann hypothesis proposed by famous German mathematician Bernhard Riemann in 1859 has resulted in important Fundamental Laws for Living and Nonliving Things. Open problems in Number theory of Riemann hypothesis, Polignac's and Twin prime conjectures have been unsolved for over 150 years. They are finally solved when sine qua non treated as Incompletely Predictable problems in 2019. Riemann hypothesis belongs to one of seven Millennium Prize Problems in mathematics stated by Clay Mathematics Institute on May 24, 2000. The author serendipitously cross path with the Institute's website Riemann Hypothesis on Thursday March 10, 2016 in permanently altering its information content from previous incorrect [sic] "...the first 10,000,000,000 solutions" to current correct [sic] "...the first 10,000,000,000,000 solutions". Configured as containing useful materials on Medicine, Physiology and Religion, Chapters 1 to 10 as beginning part concentrate on materials related to Alphabet and Language of Science emphasizing its important role in the two innovative 'Spherical Model of Science' and 'Spherical Model of Numbers'. Chapters 11 to 15 contain introductory materials for our three open problems with Chapter 11 explaining the important Fundamental Laws. Chapters 16 to 21 concentrate on describing in layman's terms how rigorous proofs for our three open problems are derived as two complete research papers first published in viXra (reproduced in Appendix 1 and 2). Chapters 22 to 25 as end part contain materials that speculate on important role of Umbral ("Shadow"), Mathieu and Monstrous Moonshine in String theory potentially uniting Einstein General Relativity and Quantum gravity, and refute a common misconception that solving Riemann hypothesis will lead to E-Commerce apocalypse. The exotic A228186 Hybrid integer is also outlined in this book.
Book Synopsis Elementary Number Theory in Nine Chapters by : James J. Tattersall
Download or read book Elementary Number Theory in Nine Chapters written by James J. Tattersall and published by Cambridge University Press. This book was released on 1999-10-14 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.
Book Synopsis Dr. Riemann's Zeros by : Karl Sabbagh
Download or read book Dr. Riemann's Zeros written by Karl Sabbagh and published by Atlantic Books (UK). This book was released on 2003 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1859 Bernhard Riemann, a shy German mathematician, gave an answer to a problem that had long puzzled mathematicians. Although he couldn't provide a proof, Riemann declared that his solution was 'very probably' true. For the next one hundred and fifty years, the world's mathematicians have longed to confirm the Riemann hypothesis. So great is the interest in its solution that in 2001, an American foundation offered a million-dollar prize to the first person to demonstrate that the hypothesis is correct. In this book, Karl Sabbagh makes accessible even the airiest peaks of maths and paints vivid portraits of the people racing to solve the problem. Dr. Riemann's Zeros is a gripping exploration of the mystery at the heart of our counting system.
Book Synopsis An Invitation to Abstract Mathematics by : Béla Bajnok
Download or read book An Invitation to Abstract Mathematics written by Béla Bajnok and published by Springer Nature. This book was released on 2020-10-27 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. More than 300 exercises engage the reader in extensive arguments and creative approaches, while exploring connections between fundamental mathematical topics. Divided into four parts, this book begins with a playful exploration of the building blocks of mathematics, such as definitions, axioms, and proofs. A study of the fundamental concepts of logic, sets, and functions follows, before focus turns to methods of proof. Having covered the core of a transition course, the author goes on to present a selection of advanced topics that offer opportunities for extension or further study. Throughout, appendices touch on historical perspectives, current trends, and open questions, showing mathematics as a vibrant and dynamic human enterprise. This second edition has been reorganized to better reflect the layout and curriculum of standard transition courses. It also features recent developments and improved appendices. An Invitation to Abstract Mathematics is ideal for those seeking a challenging and engaging transition to advanced mathematics, and will appeal to both undergraduates majoring in mathematics, as well as non-math majors interested in exploring higher-level concepts. From reviews of the first edition: Bajnok’s new book truly invites students to enjoy the beauty, power, and challenge of abstract mathematics. ... The book can be used as a text for traditional transition or structure courses ... but since Bajnok invites all students, not just mathematics majors, to enjoy the subject, he assumes very little background knowledge. Jill Dietz, MAA Reviews The style of writing is careful, but joyously enthusiastic.... The author’s clear attitude is that mathematics consists of problem solving, and that writing a proof falls into this category. Students of mathematics are, therefore, engaged in problem solving, and should be given problems to solve, rather than problems to imitate. The author attributes this approach to his Hungarian background ... and encourages students to embrace the challenge in the same way an athlete engages in vigorous practice. John Perry, zbMATH
Book Synopsis Arithmetic Tales by : Olivier Bordellès
Download or read book Arithmetic Tales written by Olivier Bordellès and published by Springer. This book was released on 2020-11-27 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses. Extensively revised and extended, this Advanced Edition takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. The core themes of the distribution of prime numbers, arithmetic functions, lattice points, exponential sums and number fields now contain many more details and additional topics. In addition to covering a range of classical and standard results, some recent work on a variety of topics is discussed in the book, including arithmetic functions of several variables, bounded gaps between prime numbers à la Yitang Zhang, Mordell's method for exponential sums over finite fields, the resonance method for the Riemann zeta function, the Hooley divisor function, and many others. Throughout the book, the emphasis is on explicit results. Assuming only familiarity with elementary number theory and analysis at an undergraduate level, this textbook provides an accessible gateway to a rich and active area of number theory. With an abundance of new topics and 50% more exercises, all with solutions, it is now an even better guide for independent study.
Book Synopsis The Prime Number Theorem by : G. J. O. Jameson
Download or read book The Prime Number Theorem written by G. J. O. Jameson and published by Cambridge University Press. This book was released on 2003-04-17 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material.
Book Synopsis Unsolved Problems in Number Theory by : Richard Guy
Download or read book Unsolved Problems in Number Theory written by Richard Guy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.
Book Synopsis The “Vertical” Generalization of the Binary Goldbach’s Conjecture as Applied on “Iterative” Primes with (Recursive) Prime Indexes (i-primeths) by : Andrei-Lucian Drăgoi
Download or read book The “Vertical” Generalization of the Binary Goldbach’s Conjecture as Applied on “Iterative” Primes with (Recursive) Prime Indexes (i-primeths) written by Andrei-Lucian Drăgoi and published by Infinite Study. This book was released on with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article proposes a synthesized classification of some Goldbach-like conjectures, including those which are “stronger” than the Binary Goldbach’s Conjecture (BGC) and launches a new generalization of BGC briefly called “the Vertical Binary Goldbach’s Conjecture” (VBGC), which is essentially a metaconjecture, as VBGC states an infinite number of conjectures stronger than BGC, which all apply on “iterative” primes with recursive prime indexes (i-primeths).
Book Synopsis Quantum Paradoxes by : Yakir Aharonov
Download or read book Quantum Paradoxes written by Yakir Aharonov and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Guide through the Mysteries of Quantum Physics! Yakir Aharonov is one of the pioneers in measuring theory, the nature of quantum correlations, superselection rules, and geometric phases and has been awarded numerous scientific honors. The author has contributed monumental concepts to theoretical physics, especially the Aharonov-Bohm effect and the Aharonov-Casher effect. Together with Daniel Rohrlich, Israel, he has written a pioneering work on the remaining mysteries of quantum mechanics. From the perspective of a preeminent researcher in the fundamental aspects of quantum mechanics, the text combines mathematical rigor with penetrating and concise language. More than 200 exercises introduce readers to the concepts and implications of quantum mechanics that have arisen from the experimental results of the recent two decades. With students as well as researchers in mind, the authors give an insight into that part of the field, which led Feynman to declare that "nobody understands quantum mechanics". * Free solutions manual available for lecturers at www.wiley-vch.de/supplements/
Book Synopsis On the Hypotheses Which Lie at the Bases of Geometry by : Bernhard Riemann
Download or read book On the Hypotheses Which Lie at the Bases of Geometry written by Bernhard Riemann and published by Birkhäuser. This book was released on 2016-04-19 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
Book Synopsis Elementary Number Theory by : Kenneth H. Rosen
Download or read book Elementary Number Theory written by Kenneth H. Rosen and published by Pearson Higher Ed. This book was released on 2013-10-03 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Number Theory, 6th Edition, blends classical theory with modern applications and is notable for its outstanding exercise sets. A full range of exercises, from basic to challenging, helps students explore key concepts and push their understanding to new heights. Computational exercises and computer projects are also available. Reflecting many years of professor feedback, this edition offers new examples, exercises, and applications, while incorporating advancements and discoveries in number theory made in the past few years. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.
Book Synopsis Floer Homology Groups in Yang-Mills Theory by : S. K. Donaldson
Download or read book Floer Homology Groups in Yang-Mills Theory written by S. K. Donaldson and published by Cambridge University Press. This book was released on 2002-01-10 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas led to great advances in the areas of low-dimensional topology and symplectic geometry and are intimately related to developments in Quantum Field Theory. The first half of this book gives a thorough account of Floer's construction in the context of gauge theory over 3 and 4-dimensional manifolds. The second half works out some further technical developments of the theory, and the final chapter outlines some research developments for the future - including a discussion of the appearance of modular forms in the theory. The scope of the material in this book means that it will appeal to graduate students as well as those on the frontiers of the subject.
Book Synopsis Elementary Number Theory and Its Applications by : Kenneth H. Rosen
Download or read book Elementary Number Theory and Its Applications written by Kenneth H. Rosen and published by Addison Wesley Publishing Company. This book was released on 2005 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Number Theory and Its Applicationsis noted for its outstanding exercise sets, including basic exercises, exercises designed to help students explore key concepts, and challenging exercises. Computational exercises and computer projects are also provided. In addition to years of use and professor feedback, the fifth edition of this text has been thoroughly checked to ensure the quality and accuracy of the mathematical content and the exercises. The blending of classical theory with modern applications is a hallmark feature of the text. The Fifth Edition builds on this strength with new examples and exercises, additional applications and increased cryptology coverage. The author devotes a great deal of attention to making this new edition up-to-date, incorporating new results and discoveries in number theory made in the past few years.
Book Synopsis Introduction to Cosmology by : Jayant V. Narlikar
Download or read book Introduction to Cosmology written by Jayant V. Narlikar and published by Cambridge University Press. This book was released on 1993-03-11 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory textbook describes modern cosmology at a level suitable for advanced undergraduates who are familiar with mathematical methods and basic theoretical physics. An introductory survey of the large scale structure of the universe is followed by an outline of general relativity. This is then used to construct the standard models of the universe. The very early and early stages of the Big Bang are described, and this includes primordial nucleosynthesis, grand unified theories, primordial black holes, and the era of quantum cosmology. The problem of the formation of structure in the universe is then addressed. This textbook concludes with brief outlines of alternative cosmologies. It includes 400 problems for students to solve, and is accompanied by numerous worked examples.
Book Synopsis Alexandrea Ad Aegyptum by : Rogério Sousa
Download or read book Alexandrea Ad Aegyptum written by Rogério Sousa and published by . This book was released on 2013 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt:
