Discovering Mathematics With Magma
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Discovering Mathematics With Magma
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Author : Wieb Bosma
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-10
Discovering Mathematics With Magma written by Wieb Bosma and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-10 with Computers categories.
Based on the ontology and semantics of algebra, the computer algebra system Magma enables users to rapidly formulate and perform calculations in abstract parts of mathematics. Edited by the principal designers of the program, this book explores Magma. Coverage ranges from number theory and algebraic geometry, through representation theory and group theory to discrete mathematics and graph theory. Includes case studies describing computations underpinning new theoretical results.
The Joy Of Mathematics
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Author : Theoni Pappas
language : en
Publisher:
Release Date : 1988-06
The Joy Of Mathematics written by Theoni Pappas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-06 with categories.
Mathematical Software Icms 2010
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Author : Komei Fukuda
language : en
Publisher: Springer
Release Date : 2010-09-10
Mathematical Software Icms 2010 written by Komei Fukuda and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-10 with Computers categories.
This book constitutes the refereed proceedings of the Third International Congress on Mathematical Software, ICMS 2010, held in Kobe, Japan in September 2010. The 49 revised full papers presented were carefully reviewed and selected for presentation. The papers are organized in topical sections on computational group theory, computation of special functions, computer algebra and reliable computing, computer tools for mathematical editing and scientific visualization, exact numeric computation for algebraic and geometric computation, formal proof, geometry and visualization, Groebner bases and applications, number theoretical software as well as software for optimization and polyhedral computation.
Algebraic Programming With Magma
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Author : John Cannon
language : en
Publisher: Springer-Verlag New York Incorporated
Release Date : 2006-03-01
Algebraic Programming With Magma written by John Cannon and has been published by Springer-Verlag New York Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-01 with Computers categories.
This book, written in two volumes, is an introductory manual for Magma, a programming language designed for the investigation of algebraic, geometric and combinatorial structures, or "magmas." It presumes no knowledge of computer programming, and its examples are chosen to illustrate language and algorithmic features as simply as possible. Magma is a sophisticated tool for experimentation, education, and computer-aided proof, useful for both students and professional mathematicians. Volume I explains the language and user environment in detail, whereas Volume II deals with the major algebraic, geometrical and combinatorial structures implemented in the system.
Modular Forms
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Author : Lloyd James Peter Kilford
language : en
Publisher: Imperial College Press
Release Date : 2008
Modular Forms written by Lloyd James Peter Kilford and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to such diverse subjects as the theory of quadratic forms, the proof of Fermat's last theorem and the approximation of pi. It provides a balanced overview of both the theoretical and computational sides of the subject, allowing a variety of courses to be taught from it.
Modular Forms
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Author : L J P Kilford
language : en
Publisher: World Scientific
Release Date : 2008-08-11
Modular Forms written by L J P Kilford and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-11 with Mathematics categories.
This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to such diverse subjects as the theory of quadratic forms, the proof of Fermat's last theorem and the approximation of pi. It provides a balanced overview of both the theoretical and computational sides of the subject, allowing a variety of courses to be taught from it. Contents: Historical OverviewIntroduction to Modular FormsResults on Finite-DimensionalityThe Arithmetic of Modular FormsApplications of Modular FormsModular Forms in Characteristic pComputing with Modular FormsAppendices:MAGMA Code for Classical Modular FormsSAGE Code for Classical Modular FormsHints and Answers to Selected Exercises Readership: Academics, researchers and graduate students in number theory and computational mathematics. Keywords:Modular Forms;Computations;Modular Functions;Cusp Forms;Ramanujan Tau FunctionKey Features:Covers the computational side together with the theoryIncludes a wide variety of exercises, from short to research-project lengthContains historical asides and references to modular forms in mathematical culture, to help ground the subject and motivate student interestReviews: "This fascinating, contemporaneous, and even now unfolding story of current research in a historically brilliant part of mathematics is told with riveting attention to detail ... Almost all aspects one could wish for in the area of holomorphic modular forms are covered, as well as some selected topics about meromorphic modular functions." The Mathematical Intelligencer "The second and (perhaps) more interesting computational aspect conveyed in this book is the consistent use of explicit computations by hand. For example expressing modular forms in a given space in terms of Eisenstein series, Eta or Delta functions to verify and prove various statements and theorems. This aspect is further encouraged throughout the exercises, which by the way are numerous, relevant and well-written. This kind of very explicit computations are sadly missing in the literature although implicitly stated or used in many places. It is obviously well-known to experts but most students would never be exposed to these ideas unless actually playing around to prove theorems by themselves." Zentrallblatt MATH
Coding Theory And Applications
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Author : Angela Barbero
language : en
Publisher: Springer
Release Date : 2008-08-26
Coding Theory And Applications written by Angela Barbero and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-26 with Computers categories.
It is a pleasure to welcome you to the proceedings of the second International Castle Meeting on Coding Theory and its Applications, held at La Mota Castle in Medina del Campo. The event provided a forum for the exchange of results and ideas, which we hope will foster future collaboration. The ?rst meeting was held in 1999, and, encouraged by that experience, we now intend to hold the meeting every three years. Springer kindly accepted to publish the proceedings volume you have in your hands in their LNCS series. The topics were selected to cover some of the areas of research in Coding Theory that are currently receiving the most attention. The program consisted of a mixture of invited and submitted talks, with the focus on quality rather than quantity. A total of 34 papers were submitted to themeeting.Afteracarefulreviewprocessconductedbythescienti?ccommittee aided by external reviewers, we selected 14 of these for inclusion in the current volume, along with 5 invited papers. The program was further augmented by the remaining invited papers in addition to papers on recent results, printed in a separate volume. We would like to thank everyone who made this meeting possible by helping with the practical and scienti?c preparations: the organization committee, the scienti?c committee, the invited speakers, and the many external reviewers who shall remain anonymous. I would especially like to mention the General Advisor ofthe meeting, ØyvindYtrehus.Finally Iextend mygratitudeto allthe authors and participants who contributed to this meeting.
Selected Topics In Information And Coding Theory
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Author : Isaac Woungang
language : en
Publisher: World Scientific
Release Date : 2010
Selected Topics In Information And Coding Theory written by Isaac Woungang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
The last few years have witnessed rapid advancements in information and coding theory research and applications. This book provides a comprehensive guide to selected topics, both ongoing and emerging, in information and coding theory. Consisting of contributions from well-known and high-profile researchers in their respective specialties, topics that are covered include source coding; channel capacity; linear complexity; code construction, existence and analysis; bounds on codes and designs; space-time coding; LDPC codes; and codes and cryptography.All of the chapters are integrated in a manner that renders the book as a supplementary reference volume or textbook for use in both undergraduate and graduate courses on information and coding theory. As such, it will be a valuable text for students at both undergraduate and graduate levels as well as instructors, researchers, engineers, and practitioners in these fields.Supporting Powerpoint Slides are available upon request for all instructors who adopt this book as a course text.
Coding Theory And Applications
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Author : Raquel Pinto
language : en
Publisher: Springer
Release Date : 2015-07-24
Coding Theory And Applications written by Raquel Pinto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-24 with Mathematics categories.
The topics covered in this book, written by researchers at the forefront of their field, represent some of the most relevant research areas in modern coding theory: codes and combinatorial structures, algebraic geometric codes, group codes, quantum codes, convolutional codes, network coding and cryptography. The book includes a survey paper on the interconnections of coding theory with constrained systems, written by an invited speaker, as well as 37 cutting-edge research communications presented at the 4th International Castle Meeting on Coding Theory and Applications (4ICMCTA), held at the Castle of Palmela in September 2014. The event’s scientific program consisted of four invited talks and 39 regular talks by authors from 24 different countries. This conference provided an ideal opportunity for communicating new results, exchanging ideas, strengthening international cooperation, and introducing young researchers into the coding theory community.
Algebraic Informatics
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Author : Symeon Bozapalidis
language : en
Publisher: Springer
Release Date : 2009-08-20
Algebraic Informatics written by Symeon Bozapalidis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-20 with Computers categories.
Annotation This book constitutes the refereed proceedings of the Third International Conference on Algebraic Informatics, CAI 2009, held in Thessaloniki, Greece, in May 2009. The 16 full papers were carefully reviewed and selected from 25 submissions. The papers cover topics such as algebraic semantics on graph and trees, formal power series, syntactic objects, algebraic picture processing, finite and infinite computations, acceptors and transducers for strings, trees, graphs arrays, etc. decision problems, algebraic characterization of logical theories, process algebra, algebraic algorithms, algebraic coding theory, algebraic aspects of cryptography.