Adventures In Group Theory
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Adventures In Group Theory
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Author : David Joyner
language : en
Publisher: JHU Press
Release Date : 2008-12-29
Adventures In Group Theory written by David Joyner and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-29 with Mathematics categories.
This updated and revised edition of David Joyner’s entertaining “hands-on” tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys. Joyner uses permutation puzzles such as the Rubik’s Cube and its variants, the 15 puzzle, the Rainbow Masterball, Merlin’s Machine, the Pyraminx, and the Skewb to explain the basics of introductory algebra and group theory. Subjects covered include the Cayley graphs, symmetries, isomorphisms, wreath products, free groups, and finite fields of group theory, as well as algebraic matrices, combinatorics, and permutations. Featuring strategies for solving the puzzles and computations illustrated using the SAGE open-source computer algebra system, the second edition of Adventures in Group Theory is perfect for mathematics enthusiasts and for use as a supplementary textbook.
Adventures In Group Theory
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Author : David Joyner
language : en
Publisher: JHU Press
Release Date : 2008-12-29
Adventures In Group Theory written by David Joyner and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-29 with Mathematics categories.
David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This updated second edition uses SAGE, an open-source computer algebra system, to illustrate many of the computations.
Groups Matrices And Vector Spaces
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Author : James B. Carrell
language : en
Publisher: Springer
Release Date : 2017-09-02
Groups Matrices And Vector Spaces written by James B. Carrell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-02 with Mathematics categories.
This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group. Applications involving symm etry groups, determinants, linear coding theory and cryptography are interwoven throughout. Each section ends with ample practice problems assisting the reader to better understand the material. Some of the applications are illustrated in the chapter appendices. The author's unique melding of topics evolved from a two semester course that he taught at the University of British Columbia consisting of an undergraduate honors course on abstract linear algebra and a similar course on the theory of groups. The combined content from both makes this rare text ideal for a year-long course, covering more material than most linear algebra texts. It is also optimal for independent study and as a supplementary text for various professional applications. Advanced undergraduate or graduate students in mathematics, physics, computer science and engineering will find this book both useful and enjoyable.
Everywhere And Everywhen
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Author : Nick Huggett
language : en
Publisher: Oxford University Press
Release Date : 2010-02-03
Everywhere And Everywhen written by Nick Huggett and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-03 with Philosophy categories.
Why does time pass and space does not? Are there just three dimensions? What is a quantum particle? Nick Huggett shows that philosophy -- armed with a power to analyze fundamental concepts and their relationship to the human experience -- has much to say about these profound questions about the universe. In Everywhere and Everywhen, Huggett charts a journey that peers into some of the oldest questions about the world, through some of the newest, such as: What shape is space? Does it have an edge? What is the difference between past and future? What is time in relativity? Is time travel possible? Are there other universes? Huggett shows that answers to these profound questions are not just reserved for physics, and that philosophy can not only address but help advance our view of our deepest questions about the universe, space, and time, and their implications for humanity. His lively, accessible introduction to these topics is suitable for a general reader with no previous exposure to these profound and exciting questions.
Alex S Adventures In Numberland
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Author : Alex Bellos
language : en
Publisher: A&C Black
Release Date : 2011-04-04
Alex S Adventures In Numberland written by Alex Bellos and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-04 with Science categories.
The world of maths can seem mind-boggling, irrelevant and, let's face it, boring. This groundbreaking book reclaims maths from the geeks. Mathematical ideas underpin just about everything in our lives: from the surprising geometry of the 50p piece to how probability can help you win in any casino. In search of weird and wonderful mathematical phenomena, Alex Bellos travels across the globe and meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan. Packed with fascinating, eye-opening anecdotes, Alex's Adventures in Numberland is an exhilarating cocktail of history, reportage and mathematical proofs that will leave you awestruck.
Artificial Life And Computational Intelligence
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Author : Stephan Chalup
language : en
Publisher: Springer
Release Date : 2015-01-10
Artificial Life And Computational Intelligence written by Stephan Chalup and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-10 with Computers categories.
This book constitutes the refereed proceedings of the First Australasian Conference on Artificial Life and Computational Intelligence, ACALCI 2015, held in Newcastle, NSW, Australia, in February 2015. The 34 revised full papers presented were carefully reviewed and selected from 63 submissions. The papers are organized in the following topical sections: philosophy and theory; game environments and methods; learning, memory and optimization; and applications and implementations.
Neutrosophic Sets And Systems Book Series Vol 15 2017
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Sets And Systems Book Series Vol 15 2017 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Abstract: Contributors to current issue (listed in papers' order): Mai Mohamed, Mohamed Abdel-Basset, Abdel Nasser H Zaied, Florentin Smarandache, Mridula Sarkar, Samir Dey, Tapan Kumar Roy, A. A. Salama, Hewayda ElGhawalby, Shimaa Fathi Ali, T. Chalapathi, Kiran Kumar, Mehmet Sahin, Necati Olgun, Vakkas Ulucay, Abdullah Kargin, Tanushree Mitra Basu, Shyamal Kumar Mondal, Durga Banerjee, Bibhas C. Giri, Surapati Pramanik, Partha Pratim Dey, Mona Gamal Gafar, Ibrahim El-Henawy. Papers in current issue (listed in papers' order): Neutrosophic Integer Programming Problem; Multi-Objective Structural Design Optimization using Neutrosophic Goal Programming Technique; Topological Manifold Space via Neutrosophic Crisp Set Theory; Neutrosophic Graphs of Finite Groups; A New Similarity Measure Based on Falsity Value between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Values with Applications to Pattern Recognition; Multi-Criteria Assignment Techniques in Multi-Dimensional Neutrosophic Soft Set Theory; GRA for Multi Attribute Decision Making in Neutrosophic Cubic Set Environment; Bipolar Neutrosophic Projection Based Models for Solving Multi-Attribute Decision-Making Problems, Integrated Framework of Optimization Technique and Information Theory Measures for Modeling Neutrosophic Variables, Neutrosophic Modal Logic. Keywords: neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic applications.
Adventures In Research
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Author : Edwin Phelps Hartman
language : en
Publisher:
Release Date : 1970
Adventures In Research written by Edwin Phelps Hartman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Aeronautics categories.
Whitehead And The Measurement Problem Of Cosmology
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Author : Gary L. Herstein
language : en
Publisher: Walter de Gruyter
Release Date : 2013-05-02
Whitehead And The Measurement Problem Of Cosmology written by Gary L. Herstein and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-02 with Philosophy categories.
Einstein's General Theory of Relativity links the metrical structure of the cosmic order (or "cosmology") to the contingent distributions of matter and energy throughout the universe, one of the chief areas of investigation in astrophysics. However, presently we have neither devised nor discovered system of uniform relations whereby we can make our cosmological measurements intelligible. This is "the measurement problem of cosmology." Using both historical ideas (such as A.N. Whitehead's work in the 1920s) and contemporary evidence and theories, argue that the measurement problem has neither been fully understood nor rightly interpreted. With better grasp of this problem, such as am attempting to provide, the prospects for solution look brighter.