Fearless Symmetry
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Fearless Symmetry
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Author : Avner Ash
language : en
Publisher: Princeton University Press
Release Date : 2008-08-04
Fearless Symmetry written by Avner Ash and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-04 with Mathematics categories.
Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them. Hidden symmetries were first discovered nearly two hundred years ago by French mathematician évariste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination. The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.
Fearless Symmetry
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Author : Avner Ash
language : en
Publisher: Princeton University Press
Release Date : 2006
Fearless Symmetry written by Avner Ash and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them. Hidden symmetries were first discovered nearly two hundred years ago by French mathematician Évariste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination. The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.
Creating Symmetry
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Author : Frank A. Farris
language : en
Publisher: Princeton University Press
Release Date : 2015-06-02
Creating Symmetry written by Frank A. Farris and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-02 with Art categories.
A step-by-step illustrated introduction to the astounding mathematics of symmetry This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics. Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple curve, whose curious symmetry seems unexplained by its formula. Farris describes how complex numbers unlock the mystery, and how they lead to the next steps on an engaging path to constructing waveforms. He explains how to devise waveforms for each of the 17 possible wallpaper types, and then guides you through a host of other fascinating topics in symmetry, such as color-reversing patterns, three-color patterns, polyhedral symmetry, and hyperbolic symmetry. Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations. As you progress through the book, you'll learn how to create breathtaking art images of your own. Fun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book.
Fearful Symmetry
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Author : Anthony Zee
language : en
Publisher: Princeton University Press
Release Date : 2015-10-01
Fearful Symmetry written by Anthony Zee and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-01 with Science categories.
An engaging exploration of beauty in physics, with a foreword by Nobel Prize–winning physicist Roger Penrose The concept of symmetry has widespread manifestations and many diverse applications—from architecture to mathematics to science. Yet, as twentieth-century physics has revealed, symmetry has a special, central role in nature, one that is occasionally and enigmatically violated. Fearful Symmetry brings the incredible discoveries of the juxtaposition of symmetry and asymmetry in contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how contemporary theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, Fearful Symmetry describes the majestic sweep and accomplishments of twentieth-century physics—one of the greatest chapters in the intellectual history of humankind.
Fearful Symmetry A Pride Prejudice Variation
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Author : Gailie Ruth Caress
language : en
Publisher:
Release Date : 2021-02-02
Fearful Symmetry A Pride Prejudice Variation written by Gailie Ruth Caress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-02 with Fiction categories.
Darcy had never known such a woman, one who could rush into an inferno and emerge as bold and brilliant as burnished brass, bright as any mirror. FITZWILLIAM DARCY HAD PLANNED TO LEAVE NETHERFIELD PARK and all thoughts of the enchanting Miss Elizabeth Bennet behind him-until one night when he saw smoke rising from Longbourn and realised she was in peril. ELIZABETH BENNET FOUND MR DARCY ARROGANT AND INSUFERABLE right up until he became her hero, pulling her and her sister from the fire that devastated their home, and could have claimed both of their lives. Seeing how he put his own life at risk to pull her from the fire, how could she help but change her opinion of him? THROWN TOGETHER AGAIN in the refuge offered at Netherfield, Darcy and Elizabeth's unexpected bond gains strength. But disapproval, debts, and doubts all arise when the costs in time and expense involved in rebuilding Longbourn threaten to widen the gulf in standing between Elizabeth and Darcy in the eyes of society. Amidst these perplexities of destruction and decorum, can love's courage overcome calamity?
Summing It Up
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Author : Avner Ash
language : en
Publisher: Princeton University Press
Release Date : 2018-01-30
Summing It Up written by Avner Ash and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-30 with Mathematics categories.
The power and properties of numbers, from basic addition and sums of squares to cutting-edge theory We use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research. Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series—long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+. . .=? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms—the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem. Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.
Elliptic Tales
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Author : Avner Ash
language : en
Publisher: Princeton University Press
Release Date : 2012
Elliptic Tales written by Avner Ash and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Describes the latest developments in number theory by looking at the Birch and Swinnerton-Dyer Conjecture.
Fearless Symmetry
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Author : Robert Gross
language : en
Publisher:
Release Date : 2010
Fearless Symmetry written by Robert Gross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Circuits And Systems For Security And Privacy
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Author : Farhana Sheikh
language : en
Publisher: CRC Press
Release Date : 2017-12-19
Circuits And Systems For Security And Privacy written by Farhana Sheikh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Computers categories.
Circuits and Systems for Security and Privacy begins by introducing the basic theoretical concepts and arithmetic used in algorithms for security and cryptography, and by reviewing the fundamental building blocks of cryptographic systems. It then analyzes the advantages and disadvantages of real-world implementations that not only optimize power, area, and throughput but also resist side-channel attacks. Merging the perspectives of experts from industry and academia, the book provides valuable insight and necessary background for the design of security-aware circuits and systems as well as efficient accelerators used in security applications.
Scale
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Author : Cristian Suteanu
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Scale written by Cristian Suteanu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Science categories.
This book provides up-to-date, in-depth and accessible information on the concept of scale, and focuses on its applications in geography, Earth science, environmental science, and other fields in which the environment plays a significant role. Although the book presents methods and applications as a response to practical challenges, it is primarily concept-centered: it identifies a set of distinct, yet related notions of “scale”, analyzing and elucidating their evolving meanings in a systematic way. Concepts are defined with a focus on their practical operational applicability, and the introduction of methods is supported by concrete examples. The book links theoretical insights to illustrating applications, involving a broad range of themes, from maps, fractals, and chaos theory to fine art and literature. It approaches the subject in a spatial, temporal, and spatio-temporal context, including a wide diversity of spatial features from Earth and other planets, as well as time series and space-time patterns. This monograph is expected to be useful especially because in practice the various scale-focused concepts are not neatly separated and immiscible. It is therefore helpful for scholars in physical and human geography, Earth and environmental sciences, and other fields, to benefit from a clear conceptual framework that distinguishes and illuminates the various scale-related concepts and their interconnections. Selected chapters can also support a deeper understanding of the concept of scale for graduate and undergraduate students in geography, the natural sciences, and the humanities. Information on recommended additional literature and comments about specific sources offer a guide to further reading on the topics addressed in the book.