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Author: Roger Doss
Publisher: GRIN Verlag
ISBN: 3656340595
Category : Computers
Languages : en
Pages : 12
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Book Description
Research Paper (postgraduate) from the year 2012 in the subject Computer Science - Applied, Northcentral University, language: English, abstract: Paper discusses Goldbach's Conjecture that all even integers can be represented as the sum of two prime numbers and presents an algorithm to verify the conjecture which is only limited by the size of the primes that can be generated.
Author: Roger Doss
Publisher: GRIN Verlag
ISBN: 3656340595
Category : Computers
Languages : en
Pages : 12
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Book Description
Research Paper (postgraduate) from the year 2012 in the subject Computer Science - Applied, Northcentral University, language: English, abstract: Paper discusses Goldbach's Conjecture that all even integers can be represented as the sum of two prime numbers and presents an algorithm to verify the conjecture which is only limited by the size of the primes that can be generated.
Author: Apostolos Doxiadis
Publisher: Faber & Faber
ISBN: 057129569X
Category : Fiction
Languages : en
Pages : 148
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Book Description
Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.
Author: Andrei-Lucian Drăgoi
Publisher: Dr. Andrei-Lucian Drăgoi
ISBN:
Category : Mathematics
Languages : en
Pages : 58
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Book Description
This work proposes the generalization of the binary (strong) Goldbach’s Conjecture, briefly called “the Vertical Binary Goldbach’s Conjecture”, which is essentially a meta-conjecture because it states an infinite number of conjectures stronger than Goldbach’s, which all apply on “iterative” primes with recursive prime indexes, with many potential theoretical and practical applications in mathematics and physics) and a very special self-similar property of the primes subset of positive integers.
Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 0387218203
Category : Mathematics
Languages : en
Pages : 370
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Book Description
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)
Author: Andrei-Lucian Drăgoi
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 32
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Book Description
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).
Author: Ian Stewart
Publisher: Profile Books
ISBN: 1847653510
Category : Mathematics
Languages : en
Pages : 468
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Book Description
There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.
Author: Song Y. Yan
Publisher: Springer Science & Business Media
ISBN: 3662040530
Category : Computers
Languages : en
Pages : 396
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Book Description
Taking readers from elementary number theory, via algorithmic, to applied number theory in computer science, this text introduces basic concepts, results, and methods, before going on to discuss their applications in the design of hardware and software, cryptography, and security. Aimed at undergraduates in computing and information technology, and presupposing only high-school math, this book will also interest mathematics students concerned with applications. XXXXXXX Neuer Text This is an essential introduction to number theory for computer scientists. It treats three areas, elementary-, algorithmic-, and applied number theory in a unified and accessible manner. It introduces basic concepts and methods, and discusses their applications to the design of hardware, software, cryptography, and information security. Aimed at computer scientists, electrical engineers and students the presentation presupposes only an understanding of high-school math.
Author: Zun Shan
Publisher: World Scientific
ISBN: 9811287228
Category : Mathematics
Languages : en
Pages : 365
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Book Description
The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.
Author: Graham Oppy
Publisher: Cambridge University Press
ISBN: 1108755364
Category : Philosophy
Languages : en
Pages : 295
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Book Description
Ontological arguments are one of the main classes of arguments for the existence of God, and have been influential from the Middle Ages right up until the present time. This accessible volume offers a comprehensive survey and assessment of them, starting with a sequence of chapters charting their history - from Anselm and Aquinas, via Descartes, Leibniz, Kant and Hegel, to Gödel, Plantinga, Lewis and Tichý. This is followed by chapters on the most important topics to have emerged in the discussion of ontological arguments: the relationship between conceivability and possibility, the charge that ontological arguments beg the question, and the nature of existence. The volume as a whole shows clearly how these arguments emerged and developed, how we should think about them, and why they remain important today.
Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 1461207592
Category : Mathematics
Languages : en
Pages : 558
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Book Description
This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium senes. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book of Records, reminded me very gently that the most "innumerate" people of the world are of a certain trible in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes, Morris, I'm from Brazil, but my book will contain numbers different from ·one.''' He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name) and consists of about 16 million decimal digits of the number Te. "I assure you, Morris, that in spite of the beauty of the appar ent randomness of the decimal digits of Te, I'll be sure that my text will include also some words." And then I proceeded putting together the magic combina tion of words and numbers, which became The Book of Prime Number Records. If you have seen it, only extreme curiosity could impel you to have this one in your hands. The New Book of Prime Number Records differs little from its predecessor in the general planning. But it contains new sections and updated records.
