Discovering Mathematics With Magma

Author: Wieb Bosma
Publisher: Springer Science & Business Media
ISBN: 3540376348
Size: 50.17 MB
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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.

Modular Forms

Author: Lloyd James Peter Kilford
Publisher: World Scientific
ISBN: 1848162138
Size: 15.11 MB
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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.

Advances In Cryptology Eurocrypt 2013

Author: Thomas Johansson
Publisher: Springer
ISBN: 3642383483
Size: 62.29 MB
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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.

Information And Communication Theory In Molecular Biology

Author: Martin Bossert
Publisher: Springer
ISBN: 3319547291
Size: 61.27 MB
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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.

Experimental And Computational Mathematics

Author: Jonathan M. Borwein
Publisher: PSIpress
ISBN: 193563805X
Size: 74.74 MB
Format: PDF, ePub
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A quiet revolution in mathematical computing and scientific visualization took place in the latter half of the 20th century. These developments have dramatically enhanced modes of mathematical insight and opportunities for "exploratory" computational experimentation. This volume collects the experimental and computational contributions of Jonathan and Peter Borwein over the past quarter century.

A Book Of Abstract Algebra

Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Size: 30.38 MB
Format: PDF, Kindle
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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.