Download or read book Searching for Primes in the Digits of pi written by David Byatt and published by . This book was released on 2003 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Contact written by Carl Sagan and published by Simon and Schuster. This book was released on 2016-12-20 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pulitzer Prize-winning author and astronomer Carl Sagan imagines the greatest adventure of all—the discovery of an advanced civilization in the depths of space. In December of 1999, a multinational team journeys out to the stars, to the most awesome encounter in human history. Who—or what—is out there? In Cosmos, Carl Sagan explained the universe. In Contact, he predicts its future—and our own.
Download or read book Locally Decodable Codes and Private Information Retrieval Schemes written by Sergey Yekhanin and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: Locally decodable codes (LDCs) are codes that simultaneously provide efficient random access retrieval and high noise resilience by allowing reliable reconstruction of an arbitrary bit of a message by looking at only a small number of randomly chosen codeword bits. Local decodability comes with a certain loss in terms of efficiency – specifically, locally decodable codes require longer codeword lengths than their classical counterparts. Private information retrieval (PIR) schemes are cryptographic protocols designed to safeguard the privacy of database users. They allow clients to retrieve records from public databases while completely hiding the identity of the retrieved records from database owners. In this book the author provides a fresh algebraic look at the theory of locally decodable codes and private information retrieval schemes, obtaining new families of each which have much better parameters than those of previously known constructions, and he also proves limitations of two server PIRs in a restricted setting that covers all currently known schemes. The author's related thesis won the ACM Dissertation Award in 2007, and this book includes some expanded sections and proofs, and notes on recent developments.
Download or read book Pi Unleashed written by Jörg Arndt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 4,000-year history of research into Pi, results have never been as prolific as present. This book describes, in easy-to-understand language, the latest and most fascinating findings of mathematicians and computer scientists in the field of Pi. Attention is focused on new methods of high-speed computation.
Download or read book 5 Million Digits of Pi Volume 1 Decimal Places from 1 To 5 000 000 written by Cactus Cactus Publishing Inc. and published by Createspace Independent Publishing Platform. This book was released on 2018-03-09 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: 5 MILLION DIGITS OF PI VOLUME 1 DECIMAL PLACES FROM 1 TO 5,000,000 This book has 625 pages containing the first 5 million digits of Pi, from 1 to 5,000,000, after the decimal point. Each page has 80 rows with 100 digits of Pi for a total of 8,000 digits per page. Each row has 10 groups of 10 digits of Pi. Each 10 digit group is separated by a space. The column header on each page indicates every 10th digit of Pi. The end of each row has a colon (:) followed by the decimal place location in Pi of the last digit on the row. Thus, the first row ends with ": 100" while the last row ends with ": 5000000" on page 625. The row and column header information can be used to help you determine the exact location in Pi of each digit. A table of contents provides the page number for every 500,000th decimal place of Pi. NUMBER OF PAGES: 628 pages PAPER / TRIM SIZE: 8.5" x 11" (21.6 cm x 27.9 cm) PAPER COLOR (COLOUR): White paper PAGE NUMBERS: YES COVER: Softcover paperback - glossy finish BOOK BINDING: Perfect bound OTHER PI BOOKS IN SERIES We have 5 books in this series. Each has 5 million digits of Pi and the design is the same for all books. Use the 13 digit ISBN below to search for each book. You may need to remove the dash in the ISBN when searching. 5 Million Digits of Pi - Volume 1- Digits from 1 to 5,000,000 - ISBN: 978-1986263825 5 Million Digits of Pi - Volume 2 - Digits from 5,000,001 to 10,000,000 - ISBN: 978-1986263870 5 Million Digits of Pi - Volume 3 - Digits from 10,000,001 to 15,000,000 - ISBN: 978-1986263955 5 Million Digits of Pi - Volume 4 - Digits from 15,000,001 to 20,000,000 - ISBN: 978-1986264068 5 Million Digits of Pi - Volume 5 - Digits from 20,000,001 to 25,000,000 - ISBN: 978-1986264150
Download or read book Computational Discovery of Scientific Knowledge written by Saso Dzeroski and published by Springer Science & Business Media. This book was released on 2007-08-07 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey provides an introduction to computational approaches to the discovery of communicable scientific knowledge and details recent advances. It is partly inspired by the contributions of the International Symposium on Computational Discovery of Communicable Knowledge, held in Stanford, CA, USA in March 2001, a number of additional invited contributions provide coverage of recent research in computational discovery.
Download or read book Prime Numbers Are Contents of Structural Stability written by Patrizia Franceschelli and published by Patrizia Franceschelli. This book was released on 2022-12-20 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book on prime numbers that all enthusiasts and the curious should read! In this book you will embark on an unexpected and engaging journey to discover the true nature of Prime Numbers, from their origins to their evolution. Prime numbers are a special category of numbers that are believed to preserve the fundamental particles of the bi-dimensional world. According to this theory, these particles may have evolved from the formation of strings in the one-dimensional world and persisted in our dimension. Mathematics, physics, psychology: prime numbers succeed in uniting all these disciplines in an unanticipated and profound way. Do we really know everything about the Golden Pi and Fibonacci’s Numbers? Or are there sides of these objects yet to be explored? My task, as the author, will be to take you by the hand and guide you into the depths of prime numbers, in search of their hidden and intrinsic characteristics.
Download or read book Prime Numbers written by David Wells and published by Turner Publishing Company. This book was released on 2011-01-13 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? How do twin primes differ from cousin primes, and what on earth (or in the mind of a mathematician) could be sexy about prime numbers? What did Albert Wilansky find so fascinating about his brother-in-law's phone number? Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions. In Prime Numbers: The Most Mysterious Figures in Math, you'll meet the world's most gifted mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you'll discover a host of unique insights and inventive conjectures that have both enlarged our understanding and deepened the mystique of prime numbers. This comprehensive, A-to-Z guide covers everything you ever wanted to know--and much more that you never suspected--about prime numbers, including: * The unproven Riemann hypothesis and the power of the zeta function * The "Primes is in P" algorithm * The sieve of Eratosthenes of Cyrene * Fermat and Fibonacci numbers * The Great Internet Mersenne Prime Search * And much, much more
Download or read book Memory Search By A Memorist written by Charles P. Thompson and published by Psychology Press. This book was released on 2013-05-13 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the first comprehensive experimental research program on an individual who exhibits exceptional memory. Rajan Mahadevan, the subject of these investigations, won a place in the Guinness Book of Records for reciting pi to 31,811 decimal places, can learn matrices up to size 20 X 20, and can produce memory spans above 60 for digits. Utilizing the methodology and theories of modern cognitive psychology, the authors systematically investigated Rajan's memory skills. A wide range of experiments and tests were conducted with Rajan and four control subjects. These include memory span tests for digits and letters, memory for various kinds of non-numeric information, tests of working memory, learning and retention of numeric matrices, memory and visual searches of the digits of pi, and lexical decision tasks with the digits of pi. The authors describe how they came to understand the way Rajan stored and now retrieves the decimal digits of pi, how he learns and retrieves matrices, and how he encodes and retrieves digits in a memory span task. Although his strategy for memorizing and retrieving digits is unique in the literature on people with extraordinary memory, the authors show how their investigations of Rajan contribute to our understanding of memory.
Download or read book The Distribution of Prime Numbers written by Albert Edward Ingham and published by Cambridge University Press. This book was released on 1990-09-28 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Pi and the AGM written by Jonathan M. Borwein and published by Wiley-Interscience. This book was released on 1998-07-13 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critical Acclaim for Pi and the AGM: "Fortunately we have the Borwein's beautiful book . . . explores in the first five chapters the glorious world so dear to Ramanujan . . . would be a marvelous text book for a graduate course."--Bulletin of the American Mathematical Society "What am I to say about this quilt of a book? One is reminded of Debussy who, on being asked by his harmony teacher to explain what rules he was following as he improvised at the piano, replied, "Mon plaisir." The authors are cultured mathematicians. They have selected what has amused and intrigued them in the hope that it will do the same for us. Frankly, I cannot think of a more provocative and generous recipe for writing a book . . . (it) is cleanly, even beautifully written, and attractively printed and composed. The book is unique. I cannot think of any other book in print which contains more than a smidgen of the material these authors have included.--SIAM Review "If this subject begins to sound more interesting than it did in the last newspaper article on 130 million digits of Pi, I have partly succeeded. To succeed completely I will have gotten you interested enough to read the delightful and important book by the Borweins."--American Mathematical Monthly "The authors are to be commended for their careful presentation of much of the content of Ramanujan's famous paper, 'Modular Equations and Approximations to Pi'. This material has not heretofore appeared in book form. However, more importantly, Ramanujan provided no proofs for many of the claims that he made, and so the authors provided many of the missing details . . . The Borweins, indeed have helped us find the right roads."--Mathematics of Computation
Download or read book A Biography Of The World s Most Mysterious Number written by Alfred S. Posamentier and published by . This book was released on with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: PI-this seemingly mundane numer-holds a world of mystery, which has fascinated mathematicians from ancient times to the present. What is PI? What is the real value of PI? How to mathematicians determine the value of PI? In what ways is PI used? How was it calculated in ancient times? Its elusive nature has led investigators over the years to ever-closer approximations.
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.
Download or read book Wonders of Numbers written by Clifford A. Pickover and published by Oxford University Press. This book was released on 2003-01-16 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common and unusual number theory problems of varying difficulty--each presented in brief chapters that convey to readers the essence of the problem rather than its extraneous history. Peppered throughout with illustrations that clarify the problems, Wonders of Numbers also includes fascinating "math gossip." How would we use numbers to communicate with aliens? Check out Chapter 30. Did you know that there is a Numerical Obsessive-Compulsive Disorder? You'll find it in Chapter 45. From the beautiful formula of India's most famous mathematician to the Leviathan number so big it makes a trillion look small, Dr. Googol's witty and straightforward approach to numbers will entice students, educators, and scientists alike to pick up a pencil and work a problem.
Download or read book 5 Million Digits of Pi Volume 2 Decimal Places from 5 000 001 To 10 000 000 written by Cactus Cactus Publishing Inc. and published by Createspace Independent Publishing Platform. This book was released on 2018-03-10 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: 5 MILLION DIGITS OF PI VOLUME 2 DECIMAL PLACES FROM 5,000,001 TO 10,000,000 This book has 625 pages containing the second 5 million digits of Pi, from 5,000,001 to 10,000,000, after the decimal point. Each page has 80 rows with 100 digits of Pi for a total of 8,000 digits per page. Each row has 10 groups of 10 digits of Pi. Each 10 digit group is separated by a space. The column header on each page indicates every 10th digit of Pi. The end of each row has a colon (:) followed by the decimal place location in Pi of the last digit on the row. Thus, the first row ends with ": 5000100" while the last row ends with ": 10000000" on page 625. The row and column header information can be used to help you determine the exact location in Pi of each digit. A table of contents provides the page number for every 500,000th decimal place of Pi. NUMBER OF PAGES: 628 pages PAPER / TRIM SIZE: 8.5" x 11" (21.6 cm x 27.9 cm) PAPER COLOR (COLOUR): White paper PAGE NUMBERS: YES COVER: Softcover paperback - glossy finish BOOK BINDING: Perfect bound OTHER PI BOOKS IN SERIES We have 5 books in this series. Each has 5 million digits of Pi and the design is the same for all books. Use the 13 digit ISBN below to search for each book. You may need to remove the dash in the ISBN when searching. 5 Million Digits of Pi - Volume 1- Digits from 1 to 5,000,000 - ISBN: 978-1986263825 5 Million Digits of Pi - Volume 2 - Digits from 5,000,001 to 10,000,000 - ISBN: 978-1986263870 5 Million Digits of Pi - Volume 3 - Digits from 10,000,001 to 15,000,000 - ISBN: 978-1986263955 5 Million Digits of Pi - Volume 4 - Digits from 15,000,001 to 20,000,000 - ISBN: 978-1986264068 5 Million Digits of Pi - Volume 5 - Digits from 20,000,001 to 25,000,000 - ISBN: 978-1986264150
Download or read book Prime Numbers written by Richard Crandall and published by Springer Science & Business Media. This book was released on 2006-04-07 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book An Introduction to the Theory of Numbers written by Leo Moser and published by The Trillia Group. This book was released on 2004 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text."--Publisher's description
