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Fearless Symmetry
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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.
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.
Download or read book Fearful Symmetry written by Anthony Zee and published by Princeton University Press. This book was released on 2015-10-01 with total page 377 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.
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.
Download or read book Summing It Up written by Avner Ash and published by Princeton University Press. This book was released on 2016-05-17 with total page 249 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.
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.
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
Book Synopsis Lost in Math by : Sabine Hossenfelder
Download or read book Lost in Math written by Sabine Hossenfelder and published by Basic Books. This book was released on 2018-06-12 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science. Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.
Book Synopsis The Dance of Life by : Magdalena Zernicka-Goetz
Download or read book The Dance of Life written by Magdalena Zernicka-Goetz and published by Basic Books. This book was released on 2020-02-25 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: A renowned biologist's cutting-edge and unconventional examination of human reproduction and embryo research Scientists have long struggled to make pregnancy easier, safer, and more successful. In The Dance of Life, developmental and stem-cell biologist Magdalena Zernicka-Goetz takes us to the front lines of efforts to understand the creation of a human life. She has spent two decades unraveling the mysteries of development, as a simple fertilized egg becomes a complex human being of forty trillion cells. Zernicka-Goetz's work is both incredibly practical and astonishingly vast: her groundbreaking experiments with mouse, human, and artificial embryo models give hope to how more women can sustain viable pregnancies. Set at the intersection of science's greatest powers and humanity's greatest concern, The Dance of Life is a revelatory account of the future of fertility -- and life itself.
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 265 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!
Download or read book Why Math? written by R.D. Driver and published by Springer Science & Business Media. This book was released on 1994-12-19 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text aims to show that mathematics is useful to virtually everyone. And it seeks to accomplish this by offering the reader plenty of practice in elementary mathematical computations motivated by real-world problems. The prerequisite for this book is a little algebra and geometry-nothing more than entrance requirements at most colleges. I hope that users-especially those who "don't like math"-will complete the course with greater confidence in their ability to solve practical problems (without seeking help from someone who is "good at math"). Here is a sampler of some of the problems to be encountered: I. If a U. S. dollar were worth 1. 15 Canadian dollars, what would a Canadian dollar be worth in U. S. money? 2. If the tax rates are reduced 5% one year and then 10% in each of the next 2 years (as they were between 1981 and 1984), what is the overall reduction for the 3 years? 3. An automobile cooling system contains 10 liters ofa mixture of water and antifreeze which is 25% antifreeze. How much of this should be drained out and replaced with pure antifreeze so that the resulting 10 liters will be 40% antifreeze? 4. If you drive halfway at 30 mph and the rest of the distance at 50 mph, what is your average speed for the entire trip? 5. A tank storing solar heated water stands unmolested in a room having an approximately constant temperature of 80°F.
Download or read book Tyger written by Adrian Mitchell and published by Jonathan Cape. This book was released on 1971 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: A celebration of the life and works of William Blake.
Download or read book Brag Better written by Meredith Fineman and published by Penguin. This book was released on 2020-06-16 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This effortless and unapologetic approach to self-promotion will manage your anxiety and allow you to champion yourself. Does talking about your accomplishments feel scary or icky because you're worried people will think you're "obnoxious"? Does it feel more natural to "put your head down and do the work"? Are you tired of watching the loudest people in your industry get disproportionate praise and rewards? If you answered "yes" to any of the above, you might be self-sabotaging. You need to learn to Brag Better. Meredith Fineman has built a career working with "The Qualified Quiet": smart people who struggle to talk about themselves and thus go underestimated or unrecognized. Now, she shares the surefire and anxiety-proof strategies that have helped her clients effectively communicate their achievements and skillsets to others. Bragging Better doesn't require false bravado, talking over people, or pretending to be more qualified than you are. Instead, Fineman advocates finding quiet confidence in your opinions, abilities, and background, and then turning up the volume. In this book, you will learn the career-changing tools she's developed over the past decade that make bragging feel easy, including: Get remembered by focusing your personal brand and voice on key adjectives (like "effective, subtle, and edgy") Practice explaining what you do in simple, sticky terms to earn respect and recognition from the public and people at work. Eliminate words that undermine your work and find better ones--like your bio saying you're "trying" or "attempting" to do something instead that you ARE doing it. If you're ready to begin Bragging Better--to telling the truth about your accomplishments with grace and confidence--this book is for you.
Download or read book Thoughts on Design written by Paul Rand and published by Chronicle Books. This book was released on 2014-08-19 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the seminal texts of graphic design, Paul Rand's Thoughts on Design is now available for the first time since the 1970s. Writing at the height of his career, Rand articulated in his slender volume the pioneering vision that all design should seamlessly integrate form and function. This facsimile edition preserves Rand's original 1947 essay with the adjustments he made to its text and imagery for a revised printing in 1970, and adds only an informative and inspiring new foreword by design luminary Michael Bierut. As relevant today as it was when first published, this classic treatise is an indispensable addition to the library of every designer.
Book Synopsis A First Course in Modular Forms by : Fred Diamond
Download or read book A First Course in Modular Forms written by Fred Diamond and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.
Book Synopsis Invitation to the Mathematics of Fermat-Wiles by : Yves Hellegouarch
Download or read book Invitation to the Mathematics of Fermat-Wiles written by Yves Hellegouarch and published by Elsevier. This book was released on 2001-09-24 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context. This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and mathematically informed reader intrigued by the unraveling of this fascinating puzzle. Rigorously presents the concepts required to understand Wiles' proof, assuming only modest undergraduate level math Sets the math in its historical context Contains several themes that could be further developed by student research and numerous exercises and problems Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem
Book Synopsis Fearless Dialogues by : Gregory C. Ellison II
Download or read book Fearless Dialogues written by Gregory C. Ellison II and published by Westminster John Knox Press. This book was released on 2017-11-10 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on all the community's collective voices--from "doctors to drug dealers"--Fearless Dialogues is a groundbreaking program that seeks real solutions to problems of chronic unemployment, violence, and hopelessness. In cities around the United States and now the world, the program's founder, Gregory C. Ellison, and his team create conversations among community members who have never spoken to one another, the goal of which are real, implementable, and lasting changes to the life of the community. These community transformations are based on both face-to-face encounters and substantive analysis of the problems the community faces. In Fearless Dialogues: A New Movement for Justice, Ellison makes this same kind of analysis available to readers, walking them through the steps that must be taken to find common ground in our divided communities and then to implement genuine and lasting change.
