Neverending Fractions PDF Download
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Author | : Jonathan Borwein |
Publisher | : Cambridge University Press |
Total Pages | : 223 |
Release | : 2014-07-03 |
Genre | : Mathematics |
ISBN | : 1139991396 |
Download Neverending Fractions Book in PDF, ePub and Kindle
Despite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a wide audience, from researchers to students and even amateur enthusiasts. Neverending Fractions brings these results together, offering fresh perspectives on a mature subject. Beginning with a standard introduction to continued fractions, the book covers a diverse range of topics, from elementary and metric properties, to quadratic irrationals, to more exotic topics such as folded continued fractions and Somos sequences. Along the way, the authors reveal some amazing applications of the theory to seemingly unrelated problems in number theory. Previously scattered throughout the literature, these applications are brought together in this volume for the first time. A wide variety of exercises guide readers through the material, which will be especially helpful to readers using the book for self-study, and the authors also provide many pointers to the literature.
Author | : Jonathan Borwein |
Publisher | : Cambridge University Press |
Total Pages | : 223 |
Release | : 2014-07-03 |
Genre | : Mathematics |
ISBN | : 0521186498 |
Download Neverending Fractions Book in PDF, ePub and Kindle
This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians.
Author | : Walter Van Assche |
Publisher | : Cambridge University Press |
Total Pages | : 192 |
Release | : 2018 |
Genre | : Mathematics |
ISBN | : 1108441947 |
Download Orthogonal Polynomials and Painlevé Equations Book in PDF, ePub and Kindle
There are a number of intriguing connections between Painlev equations and orthogonal polynomials, and this book is one of the first to provide an introduction to these. Researchers in integrable systems and non-linear equations will find the many explicit examples where Painlev equations appear in mathematical analysis very useful. Those interested in the asymptotic behavior of orthogonal polynomials will also find the description of Painlev transcendants and their use for local analysis near certain critical points helpful to their work. Rational solutions and special function solutions of Painlev equations are worked out in detail, with a survey of recent results and an outline of their close relationship with orthogonal polynomials. Exercises throughout the book help the reader to get to grips with the material. The author is a leading authority on orthogonal polynomials, giving this work a unique perspective on Painlev equations.
Author | : François Brunault |
Publisher | : Cambridge University Press |
Total Pages | : 185 |
Release | : 2020-05-14 |
Genre | : Mathematics |
ISBN | : 1108889190 |
Download Many Variations of Mahler Measures Book in PDF, ePub and Kindle
The Mahler measure is a fascinating notion and an exciting topic in contemporary mathematics, interconnecting with subjects as diverse as number theory, analysis, arithmetic geometry, special functions and random walks. This friendly and concise introduction to the Mahler measure is a valuable resource for both graduate courses and self-study. It provides the reader with the necessary background material, before presenting the recent achievements and the remaining challenges in the field. The first part introduces the univariate Mahler measure and addresses Lehmer's question, and then discusses techniques of reducing multivariate measures to hypergeometric functions. The second part touches on the novelties of the subject, especially the relation with elliptic curves, modular forms and special values of L-functions. Finally, the Appendix presents the modern definition of motivic cohomology and regulator maps, as well as Deligne–Beilinson cohomology. The text includes many exercises to test comprehension and challenge readers of all abilities.
Author | : Peter J. Cameron |
Publisher | : Cambridge University Press |
Total Pages | : 235 |
Release | : 2017-06-29 |
Genre | : Mathematics |
ISBN | : 1108417361 |
Download Notes on Counting: An Introduction to Enumerative Combinatorics Book in PDF, ePub and Kindle
An introduction to enumerative combinatorics, vital to many areas of mathematics. It is suitable as a class text or for individual study.
Author | : Timothy C. Burness |
Publisher | : Cambridge University Press |
Total Pages | : 365 |
Release | : 2016-01-15 |
Genre | : Mathematics |
ISBN | : 131643267X |
Download Classical Groups, Derangements and Primes Book in PDF, ePub and Kindle
A classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has interesting and unexpected applications in many areas of mathematics, including graph theory, number theory and topology. Various generalisations have been studied in more recent years, with a particular focus on the existence of derangements with special properties. Written for academic researchers and postgraduate students working in related areas of algebra, this introduction to the finite classical groups features a comprehensive account of the conjugacy and geometry of elements of prime order. The development is tailored towards the study of derangements in finite primitive classical groups; the basic problem is to determine when such a group G contains a derangement of prime order r, for each prime divisor r of the degree of G. This involves a detailed analysis of the conjugacy classes and subgroup structure of the finite classical groups.
Author | : Norvin Pallas |
Publisher | : Courier Corporation |
Total Pages | : 113 |
Release | : 2012-07-12 |
Genre | : Juvenile Nonfiction |
ISBN | : 0486157326 |
Download Calculator Puzzles, Tricks and Games Book in PDF, ePub and Kindle
Perform amazing feats of mathematical magic, answer clever riddles, solve a baffling murder, and much more with this clever introduction to calculator games. Answers included.
Author | : Chrystine Skelly |
Publisher | : S.E. Burr |
Total Pages | : 28 |
Release | : 2018-12-10 |
Genre | : Juvenile Nonfiction |
ISBN | : |
Download Never-Ending Vocabulary Words Book in PDF, ePub and Kindle
Poetry and rhymes have been shown to be an important and valuable part of literacy education, and kids love them! 11 authors and illustrators collaborated to create this book: Chrystine Skelly Elizabeth Burr Emily Mah Heather Cardon Matt Burr Melinda Burr Nathan Nichols S.E. Burr Shad Wilde Zel Hartman Zerin Nichols
Author | : Pierre Dardot |
Publisher | : Verso Books |
Total Pages | : 209 |
Release | : 2019-04-16 |
Genre | : Political Science |
ISBN | : 1786634740 |
Download Never Ending Nightmare Book in PDF, ePub and Kindle
Neoliberalism's war against democracy and how to resist it How do we explain the strange survival of the forces responsible for the 2008 economic crisis, one of the worst since 1929? How do we explain the fact that neoliberalism has emerged from the crisis strengthened? When it broke, a number of the most prominent economists hastened to announce the 'death' of neoliberalism. They regarded the pursuit of neoliberal policy as the fruit of dogmatism. For Pierre Dardot and Christian Laval, neoliberalism is no mere dogma. Supported by powerful oligarchies, it is a veritable politico-institutional system that obeys a logic of self-reinforcement. Far from representing a break, crisis has become a formidably effective mode of government. In showing how this system crystallized and solidified, the book explains that the neoliberal straitjacket has succeeded in preventing any course correction by progressively deactivating democracy. Increasing the disarray and demobilization, the so-called 'governmental' Left has actively helped strengthen this oligarchical logic. The latter could lead to a definitive exit from democracy in favour of expertocratic governance, free of any control. However, nothing has been decided yet. The revival of democratic activity, which we see emerging in the political movements and experiments of recent years, is a sign that the political confrontation with the neoliberal system and the oligarchical bloc has already begun.
Author | : Egmont Colerus |
Publisher | : Courier Corporation |
Total Pages | : 274 |
Release | : 2013-02-04 |
Genre | : Mathematics |
ISBN | : 0486170330 |
Download Mathematics for Everyman Book in PDF, ePub and Kindle
This witty and engaging stylebook presents the fundamentals of mathematical operations: number systems, first steps in algebra and algebraic notation, common fractions and equations, and much more. 1958 edition.