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Author : Joe Roberts
Publisher : Cambridge University Press
ISBN 13 : 9780883855027
Total Pages : 332 pages
Book Rating : 4.8/5 (55 download)
Download or read book Lure of the Integers written by Joe Roberts and published by Cambridge University Press. This book was released on 1992 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes many interesting and unusual properties of integers.
Author : Joe Roberts
Publisher : American Mathematical Soc.
ISBN 13 : 1470457296
Total Pages : 310 pages
Book Rating : 4.4/5 (74 download)
Download or read book Lure of the Integers written by Joe Roberts and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Guy
Publisher : Springer Science & Business Media
ISBN 13 : 0387266771
Total Pages : 455 pages
Book Rating : 4.3/5 (872 download)
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 2013-03-09 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane’s Online Encyclopedia of Integer Sequences, at the end of several of the sections.
Author : Joseph Kirtland
Publisher : Cambridge University Press
ISBN 13 : 9780883857205
Total Pages : 194 pages
Book Rating : 4.8/5 (572 download)
Download or read book Identification Numbers and Check Digit Schemes written by Joseph Kirtland and published by Cambridge University Press. This book was released on 2001-03-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the mathematics involved in designing identification codes for everyday goods.
Author : James J. Tattersall
Publisher : Cambridge University Press
ISBN 13 : 9780521585316
Total Pages : 420 pages
Book Rating : 4.5/5 (853 download)
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.
Author : Jean-Marie De Koninck
Publisher : American Mathematical Soc.
ISBN 13 : 0821848070
Total Pages : 451 pages
Book Rating : 4.8/5 (218 download)
Download or read book Those Fascinating Numbers written by Jean-Marie De Koninck and published by American Mathematical Soc.. This book was released on 2009 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who would have thought that listing the positive integers along with their most remarkable properties could end up being such an engaging and stimulating adventure? The author uses this approach to explore elementary and advanced topics in classical number theory. A large variety of numbers are contemplated: Fermat numbers, Mersenne primes, powerful numbers, sublime numbers, Wieferich primes, insolite numbers, Sastry numbers, voracious numbers, to name only a few. The author also presents short proofs of miscellaneous results and constantly challenges the reader with a variety of old and new number theory conjectures. This book becomes a platform for exploring new concepts such as the index of composition and the index of isolation of an integer. In addition, the book displays several tables of particular families of numbers, including the list of all 88 narcissistic numbers and the list of the eight known numbers which are not prime powers but which can be written as the sum of the cubes of their prime factors, and in each case with the algorithm used to create them.
Author : Asok Kumar Mallik
Publisher : CRC Press
ISBN 13 : 100059498X
Total Pages : 234 pages
Book Rating : 4.0/5 (5 download)
Download or read book Numbers written by Asok Kumar Mallik and published by CRC Press. This book was released on 2022-06-02 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a number of elementary ideas on numbers, their representations, interesting arithmetical problems and their analytical solutions, fundamentals of computers and programming plus programming solutions as an alternative to the analytical solutions and much more. Spanning seven chapters, this book, while keeping its lucid storytelling verve, describes integers, real numbers and numerous interesting properties and historical references; followed by a good collection of arithmetic problems and their analytical solutions. Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
Author : Asok Kumar Mallik
Publisher : #N/A
ISBN 13 : 9813222948
Total Pages : 197 pages
Book Rating : 4.8/5 (132 download)
Download or read book The Story Of Numbers written by Asok Kumar Mallik and published by #N/A. This book was released on 2017-07-27 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: '… this could make an ideal end-of-year prize for a high-school student who is fascinated by all aspects of number. The subsections provide ideas and opportunities for mathematical exploration. This book might also be deemed a suitable resource for first-year undergraduates in that, via independent study, it would allow such students to broaden their knowledge of various number-theoretic ideas. I would recommend it for the purposes given above.'The Mathematical GazetteThis book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers.Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of 'Chaos'. Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail.The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level.The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.
Author : John H. Conway
Publisher : Springer Science & Business Media
ISBN 13 : 1461240727
Total Pages : 313 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Book of Numbers written by John H. Conway and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: "...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST "...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS "...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH "This popularization of number theory looks like another classic." -LIBRARY JOURNAL
Author : Eric W. Weisstein
Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)
Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Author : Liang-shin Hahn
Publisher : American Mathematical Soc.
ISBN 13 : 1470451824
Total Pages : 192 pages
Book Rating : 4.4/5 (74 download)
Download or read book Complex Numbers and Geometry written by Liang-shin Hahn and published by American Mathematical Soc.. This book was released on 2019-12-26 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natural generalizations of many theorems in plane geometry, such as the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem. The book is self-contained—no background in complex numbers is assumed—and can be covered at a leisurely pace in a one-semester course. Many of the chapters can be read independently. Over 100 exercises are included. The book would be suitable as a text for a geometry course, or for a problem solving seminar, or as enrichment for the student who wants to know more.
Author : Owen O'Shea
Publisher : MAA
ISBN 13 : 9780883855577
Total Pages : 206 pages
Book Rating : 4.8/5 (555 download)
Download or read book The Magic Numbers of the Professor written by Owen O'Shea and published by MAA. This book was released on 2007-03-08 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Professor in Owen O'Shea's book is the imaginary American Richard Stein. As Owen O'Shea and the Professor travel through Ireland, O'Shea notes the Professor's collection of amazing magic numbers in fascinating detail. His mathematical curiosities are wide ranging, concerning the 1915 sinking of the Lusitania to coincidences about Apollo 11 to the first moon walk to new numerical curiosities. The new curiosities, among many others, center on Presidents Lincoln and Kennedy; the USA and Ireland; the two World Wars; the King James Version of the Bible, and James Joyce. The Number of the Beast, 666, is discussed as well, as are many new equations involving that famous number - all appearing here for the first time. And for those fascinated by games and gambling, a number of curious proposition bets involving dice, darts, and playing cards, and various mathematical puzzles are scattered throughout this singularly entertaining book.
Author : Ivars Peterson
Publisher : American Mathematical Soc.
ISBN 13 : 1470458519
Total Pages : 170 pages
Book Rating : 4.4/5 (74 download)
Download or read book Mathematical Treks: From Surreal Numbers to Magic Circles written by Ivars Peterson and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard E. Crandall
Publisher : Springer Science & Business Media
ISBN 13 : 9780387950099
Total Pages : 500 pages
Book Rating : 4.9/5 (5 download)
Download or read book Projects in Scientific Computation written by Richard E. Crandall and published by Springer Science & Business Media. This book was released on 2000-06-22 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary book provides a compendium of projects, plus numerous example programs for readers to study and explore. Designed for advanced undergraduates or graduates of science, mathematics and engineering who will deal with scientific computation in their future studies and research, it also contains new and useful reference materials for researchers. The problem sets range from the tutorial to exploratory and, at times, to "the impossible". The projects were collected from research results and computational dilemmas during the authors tenure as Chief Scientist at NeXT Computer, and from his lectures at Reed College. The content assumes familiarity with such college topics as calculus, differential equations, and at least elementary programming. Each project focuses on computation, theory, graphics, or a combination of these, and is designed with an estimated level of difficulty. The support code for each takes the form of either C or Mathematica, and is included in the appendix and on the bundled diskette. The algorithms are clearly laid out within the projects, such that the book may be used with other symbolic numerical and algebraic manipulation products
Author : Octavian Cira
Publisher : Infinite Study
ISBN 13 : 1599733722
Total Pages : 402 pages
Book Rating : 4.5/5 (997 download)
Download or read book Various Arithmetic Functions and their Applications written by Octavian Cira and published by Infinite Study. This book was released on 2016 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. These notions, definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes squares cubes factorials, almost primes, mobile periodicals, functions, tables, prime square factorial bases, generalized factorials, generalized palindromes, so on, have been extracted from the Archives of American Mathematics (University of Texas at Austin) and Arizona State University (Tempe): "The Florentin Smarandache papers" special collections, and Arhivele Statului (Filiala Vâlcea & Filiala Dolj, Romania). This book was born from the collaboration of the two authors, which started in 2013. The first common work was the volume "Solving Diophantine Equations", published in 2014. The contribution of the authors can be summarized as follows: Florentin Smarandache came with his extraordinary ability to propose new areas of study in number theory, and Octavian Cira - with his algorithmic thinking and knowledge of Mathcad.
Author : Steve Humble
Publisher : Routledge
ISBN 13 : 1134139535
Total Pages : 146 pages
Book Rating : 4.1/5 (341 download)
Download or read book The Experimenter's A-Z of Mathematics written by Steve Humble and published by Routledge. This book was released on 2017-09-08 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics at all levels is about the joy in the discovery; it's about finding things out. This fascinating book is a guide to that discovery process, presenting ideas for practical classroom-based experiments and extension activities. Each experiment is based on the work of a key mathematician who has shaped the way that the subject looks today, and there are historical notes to help teachers bring this work to life. The book includes instructions on how to recreate the experiments using practical mathematics, computer programs and graphical calculators; ideas for follow-up work; background information for teachers on the mathematics involved; and links to the new secondary numeracy strategy framework. Accompanying the book is a CD-ROM with downloadable computer programs that can be used and reworked as part of the experimental process. With a wide range of topics covered, and plenty of scope for interesting follow-up activities, the book will be a valuable tool for mathematics teachers looking to extend the curriculum.
Author : Thomas Kilkelly
Publisher : American Mathematical Soc.
ISBN 13 : 1470418800
Total Pages : 376 pages
Book Rating : 4.4/5 (74 download)
Download or read book The ARML Power Contest written by Thomas Kilkelly and published by American Mathematical Soc.. This book was released on 2015-01-02 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ARML (American Regions Math League) Power Contest is truly a unique competition in which a team of students is judged on its ability to discover a pattern, express the pattern in precise mathematical language, and provide a logical proof of its conjectures. Just as a team of students can be self-directed to solve each problem set, a teacher, math team coach, or math circle leader could take these ideas and questions and lead students into problem solving and mathematical discovery. This book contains thirty-seven interesting and engaging problem sets from the ARML Power Contests from 1994 to 2013. They are generally extensions of the high school mathematics classroom and often connect two remote areas of mathematics. Additionally, they provide meaningful problem situations for both the novice and the veteran mathlete. Thomas Kilkelly has been a mathematics teacher for forty-three years. During that time he has been awarded several teaching honors and has coached many math teams to state and national championships. He has always been an advocate for more discovery, integration, and problem solving in the mathematics classroom. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).
