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Author : Bharti Temkin
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.:/5 (762 download)
Download or read book On a Linear Diophantine Problem of Frobenius for Three Variables written by Bharti Temkin and published by . This book was released on 1983 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jorge L. Ramírez Alfonsín
Publisher : Oxford University Press, USA
ISBN 13 : 0198568207
Total Pages : 260 pages
Book Rating : 4.1/5 (985 download)
Download or read book The Diophantine Frobenius Problem written by Jorge L. Ramírez Alfonsín and published by Oxford University Press, USA. This book was released on 2005-12 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he following problem, known as the Frobenius Problem (FP): given relatively prime positive integers a1,...,an, find the largest natural number (called the Frobenius number and denoted by g(a1,...,an) that is not representable as a nonnegative integer combination of a1,...,an, . At first glance FP may look deceptively specialized. Nevertheless it crops up again and again in the most unexpected places and has been extremely useful in investigating many different problems. A number of methods, from several areas of mathematics, have been used in the hope of finding a formula giving the Frobenius number and algorithms to calculate it. The main intention of this book is to highlight such methods, ideas, viewpoints and applications to a broader audience.
Author : Stefan Matthias Ritter
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (174 download)
Download or read book On a Linear Diophantine Problem of Frobenius written by Stefan Matthias Ritter and published by . This book was released on 1998 with total page 11 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 : William J. Cook
Publisher : Springer
ISBN 13 : 3540478671
Total Pages : 498 pages
Book Rating : 4.5/5 (44 download)
Download or read book Integer Programming and Combinatorial Optimization written by William J. Cook and published by Springer. This book was released on 2003-08-01 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers selected for presentation at IPCO 2002, the NinthInternationalConferenceonIntegerProgrammingandCombinatorial- timization, Cambridge, MA (USA), May 27–29, 2002. The IPCO series of c- ferences highlights recent developments in theory, computation, and application of integer programming and combinatorial optimization. IPCO was established in 1988 when the ?rst IPCO program committee was formed. IPCO is held every year in which no International Symposium on Ma- ematical Programming (ISMP) takes places. The ISMP is triennial, so IPCO conferences are held twice in every three-year period. The eight previous IPCO conferences were held in Waterloo (Canada) 1990, Pittsburgh (USA) 1992, Erice (Italy) 1993, Copenhagen (Denmark) 1995, Vancouver (Canada) 1996, Houston (USA) 1998, Graz (Austria) 1999, and Utrecht (The Netherlands) 2001. In response to the call for papers for IPCO 2002, the program committee received 110 submissions, a record number for IPCO. The program committee met on January 7 and 8, 2002, in Aussois (France), and selected 33 papers for inclusion in the scienti?c program of IPCO 2002. The selection was based on originality and quality, and re?ects many of the current directions in integer programming and combinatorial optimization research.
Author : Valentin Boju
Publisher : Springer Science & Business Media
ISBN 13 : 0817645462
Total Pages : 234 pages
Book Rating : 4.8/5 (176 download)
Download or read book The Math Problems Notebook written by Valentin Boju and published by Springer Science & Business Media. This book was released on 2007-08-22 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a collection of non-trivial, unconventional problems that require deep insight and imagination to solve. They cover many topics, including number theory, algebra, combinatorics, geometry and analysis. The problems start as simple exercises and become more difficult as the reader progresses through the book to become challenging enough even for the experienced problem solver. The introductory problems focus on the basic methods and tools while the advanced problems aim to develop problem solving techniques and intuition as well as promote further research in the area. Solutions are included for each problem.
Author : Curtis Kifer
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (664 download)
Download or read book Extending the Linear Diophantine Problem of Frobenius written by Curtis Kifer and published by . This book was released on 2010 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Valery N. Shevchenko
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897720
Total Pages : 166 pages
Book Rating : 4.8/5 (977 download)
Download or read book Qualitative topics in integer linear programming written by Valery N. Shevchenko and published by American Mathematical Soc.. This book was released on 1996-10-15 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integer solutions for systems of linear inequalities, equations, and congruences are considered along with the construction and theoretical analysis of integer programming algorithms. The complexity of algorithms is analyzed dependent upon two parameters: the dimension, and the maximal modulus of the coefficients describing the conditions of the problem. The analysis is based on a thorough treatment of the qualitative and quantitative aspects of integer programming, in particular on bounds obtained by the author for the number of extreme points. This permits progress in many cases in which the traditional approach--which regards complexity as a function only of the length of the input--leads to a negative result.
Author : Florian Hess
Publisher : Springer Science & Business Media
ISBN 13 : 3540360751
Total Pages : 609 pages
Book Rating : 4.5/5 (43 download)
Download or read book Algorithmic Number Theory written by Florian Hess and published by Springer Science & Business Media. This book was released on 2006-07-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Algorithmic Number Theory Symposium, ANTS 2006, held in Berlin, Germany in July 2006. The 37 revised full papers presented together with 4 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on algebraic number theory, analytic and elementary number theory, lattices, curves and varieties over fields of characteristic zero, curves over finite fields and applications, and discrete logarithms.
Author : Subrahmanyam Kalyanasundaram
Publisher : Springer Nature
ISBN 13 : 3031522133
Total Pages : 338 pages
Book Rating : 4.0/5 (315 download)
Download or read book Algorithms and Discrete Applied Mathematics written by Subrahmanyam Kalyanasundaram and published by Springer Nature. This book was released on 2024-01-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2024, held in Bhilai, India during February 15–17, 2024. The 22 full papers included in this book were carefully reviewed and selected from 57 submissions. They were organized in topical sections as follows: Algorithms and Complexity; Computational Geometry; Discrete Applied Mathematics; Graph Algorithms; Graph Theory.
Author : Olivier Bordellès
Publisher : Springer Nature
ISBN 13 : 3030549461
Total Pages : 782 pages
Book Rating : 4.0/5 (35 download)
Download or read book Arithmetic Tales written by Olivier Bordellès and published by Springer Nature. This book was released on 2020-11-26 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses. Extensively revised and extended, this Advanced Edition takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. The core themes of the distribution of prime numbers, arithmetic functions, lattice points, exponential sums and number fields now contain many more details and additional topics. In addition to covering a range of classical and standard results, some recent work on a variety of topics is discussed in the book, including arithmetic functions of several variables, bounded gaps between prime numbers à la Yitang Zhang, Mordell's method for exponential sums over finite fields, the resonance method for the Riemann zeta function, the Hooley divisor function, and many others. Throughout the book, the emphasis is on explicit results. Assuming only familiarity with elementary number theory and analysis at an undergraduate level, this textbook provides an accessible gateway to a rich and active area of number theory. With an abundance of new topics and 50% more exercises, all with solutions, it is now an even better guide for independent study.
Author : Władysław Narkiewicz
Publisher : Springer Science & Business Media
ISBN 13 : 0857295322
Total Pages : 659 pages
Book Rating : 4.8/5 (572 download)
Download or read book Rational Number Theory in the 20th Century written by Władysław Narkiewicz and published by Springer Science & Business Media. This book was released on 2011-09-02 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.
Author :
Publisher :
ISBN 13 :
Total Pages : 516 pages
Book Rating : 4.3/5 (91 download)
Download or read book Integer Programming and Combinatorial Optimization written by and published by . This book was released on 2002 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Schrijver
Publisher : John Wiley & Sons
ISBN 13 : 9780471982326
Total Pages : 488 pages
Book Rating : 4.9/5 (823 download)
Download or read book Theory of Linear and Integer Programming written by Alexander Schrijver and published by John Wiley & Sons. This book was released on 1998-06-11 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Als Ergänzung zu den mehr praxisorientierten Büchern, die auf dem Gebiet der linearen und Integerprogrammierung bereits erschienen sind, beschreibt dieses Werk die zugrunde liegende Theorie und gibt einen Überblick über wichtige Algorithmen. Der Autor diskutiert auch Anwendungen auf die kombinatorische Optimierung; neben einer ausführlichen Bibliographie finden sich umfangreiche historische Anmerkungen.
Author : Conjeevaram E. Veni Madhavan
Publisher : Springer Science & Business Media
ISBN 13 : 9783540520481
Total Pages : 356 pages
Book Rating : 4.5/5 (24 download)
Download or read book Foundations of Software Technology and Theoretical Computer Science written by Conjeevaram E. Veni Madhavan and published by Springer Science & Business Media. This book was released on 1989-12-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume accepted for the conference on foundations of software technology and theoretical computer science project research results in - Algorithmics: design and analysis of graph, geometric, algebraic and VLSI algorithms; data structures; average analysis; complexity theory; parallel parsing. - Concurrency: algebraic semantics, event structures. - Logic programming: algebraic properties, semantics. - Software technology: program transformations, algebraic methods. These results together with the formal techniques employed to present them reflect current trends pursued by leading research groups around the world. The papers treat their topics in depth by carefully reviewing existing results, developing and demonstrating new techniques and suggesting further directions for research.
Author : Juliani Karhumäki
Publisher : Springer Science & Business Media
ISBN 13 : 9783540581314
Total Pages : 452 pages
Book Rating : 4.5/5 (813 download)
Download or read book Results and Trends in Theoretical Computer Science written by Juliani Karhumäki and published by Springer Science & Business Media. This book was released on 1994-05-26 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Professor Arto Salomaa on the occasion of his 60th birthday. The 32 invited papers contained in the volume were presented at the festive colloquium, organized by Hermann Maurer at Graz, Austria, in June 1994; the contributing authors are well-known scientists with special relations to Professor Salomaa as friends, Ph.D. students, or co-authors. The volume reflects the broad spectrum of Professor Salomaa's research interests in theoretical computer science and mathematics with contributions particularly to automata theory, formal language theory, mathematical logic, computability, and cryptography. The appendix presents Professor Salomaa's curriculum vitae and lists the more than 300 papers and 9 books he published.
Author : Richard K. Guy
Publisher :
ISBN 13 :
Total Pages : 844 pages
Book Rating : 4.F/5 ( download)
Download or read book Reviews in Number Theory 1973-83 written by Richard K. Guy and published by . This book was released on 1984 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:
