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Book Sums of Squares of Integers

Download or read book Sums of Squares of Integers written by Carlos J. Moreno and published by CRC Press. This book was released on 2005-12-09 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums of a certain number of squares. The book introduces a stimulating area of number theory where research continues to proliferate. It is a book of "firsts" - namely it is the first book to combine Liouville's elementary methods with the analytic methods of modular functions to study the representation of integers as sums of squares. It is the first book to tell how to compute the number of representations of an integer n as the sum of s squares of integers for any s and n. It is also the first book to give a proof of Szemeredi's theorem, and is the first number theory book to discuss how the modern theory of modular forms complements and clarifies the classical fundamental results about sums of squares. The book presents several existing, yet still interesting and instructive, examples of modular forms. Two chapters develop useful properties of the Bernoulli numbers and illustrate arithmetic progressions, proving the theorems of van der Waerden, Roth, and Szemeredi. The book also explains applications of the theory to three problems that lie outside of number theory in the areas of cryptanalysis, microwave radiation, and diamond cutting. The text is complemented by the inclusion of over one hundred exercises to test the reader's understanding.

Book Applications of Fibonacci Numbers

Download or read book Applications of Fibonacci Numbers written by Fredric T. Howard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 33 papers from among the 41 papers presented at the Eighth International Conference on Fibonacci Numbers and Their Applications which was held at the Rochester Institute of Technology, Rochester, New York, from June 22 to June 26, 1998. These papers have been selected after a careful review by well known referees in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers and recurrence relations are their unifying bond. It is anticipated that this book, like its seven predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. June 1, 1999 The Editor F. T. Howard Mathematics and Computer Science Wake Forest University Box 7388 Reynolda Station Winston-Salem, NC USA xvii THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Anderson, Peter G. , Chairman Horadam, A. F. (Australia), Co-Chair Arpaya, Pasqual Philippou, A. N. (Cyprus), Co-Chair Biles, John Bergum, G. E. (U. S. A. ) Orr, Richard Filipponi, P. (Italy) Radziszowski, Stanislaw Harborth, H. (Germany) Rich, Nelson Horibe, Y. (Japan) Howard, F. (U. S. A. ) Johnson, M. (U. S. A. ) Kiss, P. (Hungary) Phillips, G. M. (Scotland) Turner, J. (New Zealand) Waddill, M. E. (U. S. A. ) xix LIST OF CONTRIBUTORS TO THE CONFERENCE AGRATINI, OCTAVIAN, "Unusual Equations in Study. " *ANDO, SHIRO, (coauthor Daihachiro Sato), "On the Generalized Binomial Coefficients Defined by Strong Divisibility Sequences. " *ANATASSOVA, VASSIA K. , (coauthor J. C.

Book Finite Fields and Applications

Download or read book Finite Fields and Applications written by Dieter Jungnickel and published by Springer Science & Business Media. This book was released on 2001-03-20 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the refereed proceedings of the Fifth International Conference on Finite Fields and Applications (F q5) held at the University of Augsburg (Germany) from August 2-6, 1999, and hosted by the Department of Mathematics. The conference continued a series of biennial international conferences on finite fields, following earlier conferences at the University of Nevada at Las Vegas (USA) in August 1991 and August 1993, the University ofGlasgow (Scotland) in July 1995, and the University ofWaterloo (Canada) in August 1997. The Organizing Committee of F q5 comprised Thomas Beth (University ofKarlsruhe), Stephen D. Cohen (University of Glasgow), Dieter Jungnickel (University of Augsburg, Chairman), Alfred Menezes (University of Waterloo), Gary L. Mullen (Pennsylvania State University), Ronald C. Mullin (University of Waterloo), Harald Niederreiter (Austrian Academy of Sciences), and Alexander Pott (University of Magdeburg). The program ofthe conference consisted offour full days and one halfday ofsessions, with 11 invited plenary talks andover80contributedtalks that re- quired three parallel sessions. This documents the steadily increasing interest in finite fields and their applications. Finite fields have an inherently fasci- nating structure and they are important tools in discrete mathematics. Their applications range from combinatorial design theory, finite geometries, and algebraic geometry to coding theory, cryptology, and scientific computing. A particularly fruitful aspect is the interplay between theory and applications which has led to many new perspectives in research on finite fields.

Book CRC Concise Encyclopedia of Mathematics

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

Book Minutes of the     Session of the New Jersey Annual Conference of the Methodist Episcopal Church

Download or read book Minutes of the Session of the New Jersey Annual Conference of the Methodist Episcopal Church written by Methodist Episcopal Church. NEW JERSEY ANNUAL CONFERENCE. and published by . This book was released on 1880 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Advanced Logic Synthesis

Download or read book Advanced Logic Synthesis written by André Inácio Reis and published by Springer. This book was released on 2017-11-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a single-source reference to the state-of-the-art in logic synthesis. Readers will benefit from the authors’ expert perspectives on new technologies and logic synthesis, new data structures, big data and logic synthesis, and convergent logic synthesis. The authors describe techniques that will enable readers to take advantage of recent advances in big data techniques and frameworks in order to have better logic synthesis algorithms.

Book Applied Stochastic Differential Equations

Download or read book Applied Stochastic Differential Equations written by Simo Särkkä and published by Cambridge University Press. This book was released on 2019-05-02 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

Book UNDOC  Current Index

    Book Details:
  • Author :
  • Publisher :
  • Release : 1996
  • ISBN :
  • Pages : 532 pages

Download or read book UNDOC Current Index written by and published by . This book was released on 1996 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Proceedings of the 2015 International Conference on Communications  Signal Processing  and Systems

Download or read book Proceedings of the 2015 International Conference on Communications Signal Processing and Systems written by Qilian Liang and published by Springer. This book was released on 2016-06-22 with total page 979 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together papers presented at the 4th International Conference on Communications, Signal Processing, and Systems, which provides a venue to disseminate the latest developments and to discuss the interactions and links between these multidisciplinary fields. Spanning topics ranging from Communications, Signal Processing and Systems, this book is aimed at undergraduate and graduate students in Electrical Engineering, Computer Science and Mathematics, researchers and engineers from academia and industry as well as government employees (such as NSF, DOD, DOE, etc).

Book Topology And Physics   Proceedings Of The Nankai International Conference In Memory Of Xiao song Lin

Download or read book Topology And Physics Proceedings Of The Nankai International Conference In Memory Of Xiao song Lin written by Zhenghan Wang and published by World Scientific. This book was released on 2008-08-11 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory.The volume includes works on picture (2+1)-TQFTs and their applications to quantum computing, Berry phase and Yang-Baxterization of the braid relation, finite type invariant of knots, categorification and Khovanov homology, Gromov-Witten type invariants, twisted Alexander polynomials, Faddeev knots, generalized Ricci flow, Calabi-Yau problems for CR manifolds, Milnor's conjecture on volume of simplexes, Heegaard genera of 3-manifolds, and the (A,B)-slice problem. It also includes five unpublished papers of Xiao-Song Lin and various speeches related to the memorial conference.

Book Analytic Number Theory

    Book Details:
  • Author : B. Berndt
  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • ISBN : 1461234646
  • Pages : 557 pages

Download or read book Analytic Number Theory written by B. Berndt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: On April 25-27, 1989, over a hundred mathematicians, including eleven from abroad, gathered at the University of Illinois Conference Center at Allerton Park for a major conference on analytic number theory. The occa sion marked the seventieth birthday and impending (official) retirement of Paul T. Bateman, a prominent number theorist and member of the mathe matics faculty at the University of Illinois for almost forty years. For fifteen of these years, he served as head of the mathematics department. The conference featured a total of fifty-four talks, including ten in vited lectures by H. Delange, P. Erdos, H. Iwaniec, M. Knopp, M. Mendes France, H. L. Montgomery, C. Pomerance, W. Schmidt, H. Stark, and R. C. Vaughan. This volume represents the contents of thirty of these talks as well as two further contributions. The papers span a wide range of topics in number theory, with a majority in analytic number theory.

Book Cryptography and Coding

Download or read book Cryptography and Coding written by Michael Walker and published by Springer. This book was released on 2003-07-31 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Progress in Cryptology     INDOCRYPT 2007

Download or read book Progress in Cryptology INDOCRYPT 2007 written by Kannan Srinathan and published by Springer Science & Business Media. This book was released on 2007-11-16 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Cryptology in India, INDOCRYPT 2007, held in Chennai, India, in December 2007. The 22 revised full papers and 11 revised short papers presented together with 3 invited lectures were carefully reviewed and selected from 104 submissions. The papers are organized in topical sections on hashing, elliptic curve, cryptoanalysis, information theoretic security, elliptic curve cryptography, signature, side channel attack, symmetric cryptosystem, asymmetric cryptosystem, and short papers.

Book Computational Intelligence Methods for Bioinformatics and Biostatistics

Download or read book Computational Intelligence Methods for Bioinformatics and Biostatistics written by Francesco Masulli and published by Springer. This book was released on 2009-06-23 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the Fifth International Meeting on Computational Intelligence Methods for Bioinformatics and Biostatistics, CIBB 2008, held in Vietri sul Mare, Italy, in October 2008. The 23 revised full papers presented together with 3 invited lectures were carefully reviewed and selected from 69 submissions. The main goal of the CIBB meetings is to provide a forum open to researchers from different disciplines to present and discuss problems concerning computational techniques in bioinformatics, systems biology and medical informatics with a particular focus on neural networks, machine learning, fuzzy logic, and evolutionary computation methods.

Book Encyclopaedia of Mathematics

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 967 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Proceedings of 2019 Chinese Intelligent Systems Conference

Download or read book Proceedings of 2019 Chinese Intelligent Systems Conference written by Yingmin Jia and published by Springer Nature. This book was released on 2019-09-07 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book showcases new theoretical findings and techniques in the field of intelligent systems and control. It presents in-depth studies on a number of major topics, including: Multi-Agent Systems, Complex Networks, Intelligent Robots, Complex System Theory and Swarm Behavior, Event-Triggered Control and Data-Driven Control, Robust and Adaptive Control, Big Data and Brain Science, Process Control, Intelligent Sensor and Detection Technology, Deep learning and Learning Control, Guidance, Navigation and Control of Aerial Vehicles, and so on. Given its scope, the book will benefit all researchers, engineers, and graduate students who want to learn about cutting-edge advances in intelligent systems, intelligent control, and artificial intelligence.