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Written in a friendly style for a general mathematically literate audience, 'Fearless Symmetry', starts with the basic properties of integers and permutations and reaches current research in number theory.
Book Synopsis Fearless Symmetry by : Avner Ash
Download or read book Fearless Symmetry written by Avner Ash and published by Princeton University Press. This book was released on 2008-08-24 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a friendly style for a general mathematically literate audience, 'Fearless Symmetry', starts with the basic properties of integers and permutations and reaches current research in number theory.
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.
Book Synopsis Creating Symmetry by : Frank A. Farris
Download or read book Creating Symmetry written by Frank A. Farris and published by Princeton University Press. This book was released on 2015-06-02 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
FINALIST in FOREWORD BOOK OF THE YEAR AWARDS, 2016 'Run, Rosie, run!' I cried, gasping for breath, as my daughter spun around and dashed towards the steps. From the perimeter fence behind us, strong, thin beams of light jerked wildly as black-coated figures climbed over and advanced at a steady run, spreading out like spiders on a web.' How can Emma and Matthew escape when the past is only one step behind them and the enemy unknown? When history catches up and past and present collide, where will there be left to hide in the future Fearful Symmetry is the thrilling conclusion to The Secret of the Journal series. 'An addictive mix of suspense, romance, and the supernatural.' Jane Bidder, author of Guilty
Book Synopsis Fearful Symmetry by : C F Dunn
Download or read book Fearful Symmetry written by C F Dunn and published by Lion Fiction. This book was released on 2016-09-16 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: FINALIST in FOREWORD BOOK OF THE YEAR AWARDS, 2016 'Run, Rosie, run!' I cried, gasping for breath, as my daughter spun around and dashed towards the steps. From the perimeter fence behind us, strong, thin beams of light jerked wildly as black-coated figures climbed over and advanced at a steady run, spreading out like spiders on a web.' How can Emma and Matthew escape when the past is only one step behind them and the enemy unknown? When history catches up and past and present collide, where will there be left to hide in the future Fearful Symmetry is the thrilling conclusion to The Secret of the Journal series. 'An addictive mix of suspense, romance, and the supernatural.' Jane Bidder, author of Guilty
Download or read book Fearless Symmetry written by Robert Gross and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Fearful Symmetry by : A. Zee
Download or read book Fearful Symmetry written by A. Zee and published by Princeton University Press. This book was released on 2015-10-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Summing It Up by : Avner Ash
Download or read book Summing It Up written by Avner Ash and published by Princeton University Press. This book was released on 2018-01-30 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Describes the latest developments in number theory by looking at the Birch and Swinnerton-Dyer Conjecture.
Book Synopsis Elliptic Tales by : Avner Ash
Download or read book Elliptic Tales written by Avner Ash and published by Princeton University Press. This book was released on 2012 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the latest developments in number theory by looking at the Birch and Swinnerton-Dyer Conjecture.
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.
Book Synopsis A Book of Abstract Algebra by : Charles C Pinter
Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
On the day you were born, you were imprinted with a plan and a purpose – elegant patterns that can be read to see who you really are and what your true calling is. And like your own personal map, the design for each phase of your life journey was created on the day of your birth. Based on ancient Chinese principles of balance and health, this book gives you a rich understanding of your hidden symmetry – the intricate inner design that influences who you are and how your life unfolds. This book is not about astrology or numerology; it is grounded in thousands of years of research about how time moves in natural patterns that profoundly affect you. You can use this knowledge to discover the themes running through your life experience, tap into your core strengths, find lasting love, and do your best work in the world. Jean Haner shows you how to ride the waves instead of fight the current of your life, make the best use of what’s coming in future years, and understand why things happened as they did in the past. Jean will guide you to discover who you really came here to be, recognize the true nature of everyone you meet, and break free of old limitations – to create a life of conscious vitality, joy, ease, and love!
Book Synopsis Your Hidden Symmetry by : Jean Haner
Download or read book Your Hidden Symmetry written by Jean Haner and published by Hay House, Inc. This book was released on 2013-05-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the day you were born, you were imprinted with a plan and a purpose – elegant patterns that can be read to see who you really are and what your true calling is. And like your own personal map, the design for each phase of your life journey was created on the day of your birth. Based on ancient Chinese principles of balance and health, this book gives you a rich understanding of your hidden symmetry – the intricate inner design that influences who you are and how your life unfolds. This book is not about astrology or numerology; it is grounded in thousands of years of research about how time moves in natural patterns that profoundly affect you. You can use this knowledge to discover the themes running through your life experience, tap into your core strengths, find lasting love, and do your best work in the world. Jean Haner shows you how to ride the waves instead of fight the current of your life, make the best use of what’s coming in future years, and understand why things happened as they did in the past. Jean will guide you to discover who you really came here to be, recognize the true nature of everyone you meet, and break free of old limitations – to create a life of conscious vitality, joy, ease, and love!
6 Lesson Walking with Purpose women's bible study. Would you like to be rooted and grounded in a love that will never fail you?Do you long to live FEARLESS AND FREE?Life isn't easy, even when we are doing the right thing. Suffering can slam into us from left field, leaving us reeling. We can feel great one day, and down on the mat the next. Join speaker, author and WWP Founder Lisa Brenninkmeyer to hear how you can gain a firm foundation to stand on no matter what life throws your way. Experience being grounded in truth while wrapped in the embrace of the One who loves you completely and without end.WAKEN to the reality of who you are in Christ, and that there's an enemy who seeks to steal your true identity.WRESTLE with the battle in your mind¿ bringing your thoughts in captivity to Christ.Be strengthened as a WARRIOR so that you can move forward in life¿ not just surviving, but flourishing.
Book Synopsis Fearless and Free Six Lessons by : Lisa Brenninkmeyer
Download or read book Fearless and Free Six Lessons written by Lisa Brenninkmeyer and published by . This book was released on 2020-08-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 6 Lesson Walking with Purpose women's bible study. Would you like to be rooted and grounded in a love that will never fail you?Do you long to live FEARLESS AND FREE?Life isn't easy, even when we are doing the right thing. Suffering can slam into us from left field, leaving us reeling. We can feel great one day, and down on the mat the next. Join speaker, author and WWP Founder Lisa Brenninkmeyer to hear how you can gain a firm foundation to stand on no matter what life throws your way. Experience being grounded in truth while wrapped in the embrace of the One who loves you completely and without end.WAKEN to the reality of who you are in Christ, and that there's an enemy who seeks to steal your true identity.WRESTLE with the battle in your mind¿ bringing your thoughts in captivity to Christ.Be strengthened as a WARRIOR so that you can move forward in life¿ not just surviving, but flourishing.
