Discovering Mathematics With Magma

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Discovering Mathematics with Magma

Author : Wieb Bosma
Publisher : Springer Science & Business Media
ISBN 13 : 3540376348
Total Pages : 364 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Discovering Mathematics with Magma by : Wieb Bosma

Download or read book Discovering Mathematics with Magma written by Wieb Bosma and published by Springer Science & Business Media. This book was released on 2007-07-10 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Software - ICMS 2010

Author : Komei Fukuda
Publisher : Springer
ISBN 13 : 3642155820
Total Pages : 368 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Mathematical Software - ICMS 2010 by : Komei Fukuda

Download or read book Mathematical Software - ICMS 2010 written by Komei Fukuda and published by Springer. This book was released on 2010-09-10 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modular Forms

Author : Lloyd James Peter Kilford
Publisher : Imperial College Press
ISBN 13 : 1848162146
Total Pages : 237 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Modular Forms by : Lloyd James Peter Kilford

Download or read book Modular Forms written by Lloyd James Peter Kilford and published by Imperial College Press. This book was released on 2008 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : L J P Kilford
Publisher : World Scientific
ISBN 13 : 190897883X
Total Pages : 236 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis Modular Forms by : L J P Kilford

Download or read book Modular Forms written by L J P Kilford and published by World Scientific. This book was released on 2008-08-11 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Algebraic Programming with Magma

Author : John Cannon
Publisher : Springer-Verlag New York Incorporated
ISBN 13 : 9783540627463
Total Pages : 330 pages
Book Rating : 4.6/5 (274 download)

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Book Synopsis Algebraic Programming with Magma by : John Cannon

Download or read book Algebraic Programming with Magma written by John Cannon and published by Springer-Verlag New York Incorporated. This book was released on 2006-03-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Coding Theory and Applications

Author : Angela Barbero
Publisher : Springer
ISBN 13 : 3540874488
Total Pages : 197 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Coding Theory and Applications by : Angela Barbero

Download or read book Coding Theory and Applications written by Angela Barbero and published by Springer. This book was released on 2008-08-26 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Isaac Woungang
Publisher : World Scientific
ISBN 13 : 9812837167
Total Pages : 725 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Selected Topics in Information and Coding Theory by : Isaac Woungang

Download or read book Selected Topics in Information and Coding Theory written by Isaac Woungang and published by World Scientific. This book was released on 2010 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Raquel Pinto
Publisher : Springer
ISBN 13 : 3319172964
Total Pages : 365 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Coding Theory and Applications by : Raquel Pinto

Download or read book Coding Theory and Applications written by Raquel Pinto and published by Springer. This book was released on 2015-07-24 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Symeon Bozapalidis
Publisher : Springer
ISBN 13 : 3642035647
Total Pages : 361 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Algebraic Informatics by : Symeon Bozapalidis

Download or read book Algebraic Informatics written by Symeon Bozapalidis and published by Springer. This book was released on 2009-08-20 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Arithmetic Geometry, Number Theory, and Computation

Author : Jennifer S. Balakrishnan
Publisher : Springer Nature
ISBN 13 : 3030809145
Total Pages : 587 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Arithmetic Geometry, Number Theory, and Computation by : Jennifer S. Balakrishnan

Download or read book Arithmetic Geometry, Number Theory, and Computation written by Jennifer S. Balakrishnan and published by Springer Nature. This book was released on 2022-03-15 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles related to the work of the Simons Collaboration “Arithmetic Geometry, Number Theory, and Computation.” The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research. Specific topics include● algebraic varieties over finite fields● the Chabauty-Coleman method● modular forms● rational points on curves of small genus● S-unit equations and integral points.

Advances in Cryptology – EUROCRYPT 2013

Author : Thomas Johansson
Publisher : Springer
ISBN 13 : 3642383483
Total Pages : 736 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Advances in Cryptology – EUROCRYPT 2013 by : Thomas Johansson

Download or read book Advances in Cryptology – EUROCRYPT 2013 written by Thomas Johansson and published by Springer. This book was released on 2013-05-09 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 32nd Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2013, held in Athens, Greece, in May 2013. The 41 full papers included in this volume were carefully reviewed and selected from 201 submissions. They deal with cryptanalysis of hash functions, side-channel attacks, number theory, lattices, public key encryption, digital signatures, homomorphic cryptography, quantum cryptography, storage, tools, and secure computation.

Error-Correction Coding and Decoding

Author : Martin Tomlinson
Publisher : Springer
ISBN 13 : 3319511033
Total Pages : 527 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Error-Correction Coding and Decoding by : Martin Tomlinson

Download or read book Error-Correction Coding and Decoding written by Martin Tomlinson and published by Springer. This book was released on 2017-02-21 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style, the book presents the authors’ twenty-five years of research organized into five parts: Part I is concerned with the theoretical performance attainable by using error correcting codes to achieve communications efficiency in digital communications systems. Part II explores the construction of error-correcting codes and explains the different families of codes and how they are designed. Techniques are described for producing the very best codes. Part III addresses the analysis of low-density parity-check (LDPC) codes, primarily to calculate their stopping sets and low-weight codeword spectrum which determines the performance of th ese codes. Part IV deals with decoders designed to realize optimum performance. Part V describes applications which include combined error correction and detection, public key cryptography using Goppa codes, correcting errors in passwords and watermarking. This book is a valuable resource for anyone interested in error-correcting codes and their applications, ranging from non-experts to professionals at the forefront of research in their field. This book is open access under a CC BY 4.0 license.

Functional Encryption

Author : Khairol Amali Bin Ahmad
Publisher : Springer Nature
ISBN 13 : 3030608905
Total Pages : 311 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Functional Encryption by : Khairol Amali Bin Ahmad

Download or read book Functional Encryption written by Khairol Amali Bin Ahmad and published by Springer Nature. This book was released on 2021-06-12 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides awareness of methods used for functional encryption in the academic and professional communities. The book covers functional encryption algorithms and its modern applications in developing secure systems via entity authentication, message authentication, software security, cyber security, hardware security, Internet of Thing (IoT), cloud security, smart card technology, CAPTCHA, digital signature, and digital watermarking. This book is organized into fifteen chapters; topics include foundations of functional encryption, impact of group theory in cryptosystems, elliptic curve cryptography, XTR algorithm, pairing based cryptography, NTRU algorithms, ring units, cocks IBE schemes, Boneh-Franklin IBE, Sakai-Kasahara IBE, hierarchical identity based encryption, attribute based Encryption, extensions of IBE and related primitives, and digital signatures. Explains the latest functional encryption algorithms in a simple way with examples; Includes applications of functional encryption in information security, application security, and network security; Relevant to academics, research scholars, software developers, etc.

Computational Group Theory and the Theory of Groups

Author : AMS Special Session on Computational Group Theory
Publisher : American Mathematical Soc.
ISBN 13 : 0821843656
Total Pages : 298 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Computational Group Theory and the Theory of Groups by : AMS Special Session on Computational Group Theory

Download or read book Computational Group Theory and the Theory of Groups written by AMS Special Session on Computational Group Theory and published by American Mathematical Soc.. This book was released on 2008 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The power of general purpose computational algebra systems running on personal computers has increased rapidly in recent years. For mathematicians doing research in group theory, this means a growing set of sophisticated computational tools are now available for their use in developing new theoretical results." "This volume consists of contributions by researchers invited to the AMS Special Session on Computational Group Theory held in March 2007. The main focus of the session was on the application of Computational Group Theory (CGT) to a wide range of theoretical aspects of group theory. The articles in this volume provide a variety of examples of how these computer systems helped to solve interesting theoretical problems within the discipline, such as constructions of finite simple groups, classification of $p$-groups via coclass, representation theory and constructions involving free nilpotent groups. The volume also includes an article by R. F. Morse highlighting applications of CGT in group theory and two survey articles." "Graduate students and researchers interested in various aspects of group theory will find many examples of Computational Group Theory helping research and will recognize it as yet another tool at their disposal."--BOOK JACKET.

Information- and Communication Theory in Molecular Biology

Author : Martin Bossert
Publisher : Springer
ISBN 13 : 3319547291
Total Pages : 374 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Information- and Communication Theory in Molecular Biology by : Martin Bossert

Download or read book Information- and Communication Theory in Molecular Biology written by Martin Bossert and published by Springer. This book was released on 2017-08-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited monograph presents the collected interdisciplinary research results of the priority program “Information- and Communication Theory in Molecular Biology (InKoMBio, SPP 1395)”, funded by the German Research Foundation DFG, 2010 until 2016. The topical spectrum is very broad and comprises, but is not limited to, aspects such as microRNA as part of cell communication, information flow in mammalian signal transduction pathway, cell-cell communication, semiotic structures in biological systems, as well as application of methods from information theory in protein interaction analysis. The target audience primarily comprises research experts in the field of biological signal processing, but the book is also beneficial for graduate students alike.

Advances in Cryptology – CRYPTO 2021

Author : Tal Malkin
Publisher : Springer Nature
ISBN 13 : 3030842525
Total Pages : 820 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Advances in Cryptology – CRYPTO 2021 by : Tal Malkin

Download or read book Advances in Cryptology – CRYPTO 2021 written by Tal Malkin and published by Springer Nature. This book was released on 2021-08-11 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume set, LNCS 12825, LNCS 12826, LNCS 12827, and LNCS 12828, constitutes the refereed proceedings of the 41st Annual International Cryptology Conference, CRYPTO 2021. Crypto has traditionally been held at UCSB every year, but due to the COVID-19 pandemic it was an online event in 2021. The 103 full papers presented in the proceedings were carefully reviewed and selected from a total of 426 submissions. The papers are organized in the following topical sections: Part I: Award Papers; Signatures; Quantum Cryptography; Succinct Arguments. Part II: Multi-Party Computation; Lattice Cryptography; and Lattice Cryptanalysis. Part III: Models; Applied Cryptography and Side Channels; Cryptanalysis; Codes and Extractors; Secret Sharing. Part IV: Zero Knowledge; Encryption++; Foundations; Low-Complexity Cryptography; Protocols.

Enhancing Performance, Efficiency, and Security Through Complex Systems Control

Author : Chana, Idriss
Publisher : IGI Global
ISBN 13 :
Total Pages : 393 pages
Book Rating : 4.3/5 (693 download)

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Book Synopsis Enhancing Performance, Efficiency, and Security Through Complex Systems Control by : Chana, Idriss

Download or read book Enhancing Performance, Efficiency, and Security Through Complex Systems Control written by Chana, Idriss and published by IGI Global. This book was released on 2024-01-22 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Academic scholars and professionals in engineering strive to enhance the performance, efficiency, and security of complex systems, but accessing comprehensive resources for these challenges can be daunting. Enhancing Performance, Efficiency, and Security Through Complex Systems Control offers an ideal solution. Edited by esteemed academics Idriss Chana, Aziz Bouazi, and Hussain Ben-Azza, this book presents a curated collection of scientific articles encompassing multidisciplinary themes like computer science, artificial intelligence, electrical engineering, and control systems. By consolidating cutting-edge research and methodologies, this book empowers scholars and professionals to improve the design, modeling, and control of complex systems. It provides practical solutions, showcases new ideas, and explores innovative technologies to enhance performance, efficiency, and safety. With a meticulous selection process involving internationally recognized scientific committees, this book ensures the highest quality standards, making it a reliable reference for researchers, PhD students, and academics. Delve into the wide range of topics covered, from artificial intelligence to smart systems, and unlock the potential of complex systems control to advance your research endeavors.