Beautiful Symmetry

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Beautiful Symmetry

Author : Alex Berke
Publisher : MIT Press
ISBN 13 : 026253892X
Total Pages : 165 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Beautiful Symmetry by : Alex Berke

Download or read book Beautiful Symmetry written by Alex Berke and published by MIT Press. This book was released on 2020-02-18 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: A coloring book that invites readers to explore symmetry and the beauty of math visually. Beautiful Symmetry is a coloring book about math, inviting us to engage with mathematical concepts visually through coloring challenges and visual puzzles. We can explore symmetry and the beauty of mathematics playfully, coloring through ideas usually reserved for advanced courses. The book is for children and adults, for math nerds and math avoiders, for educators, students, and coloring enthusiasts. Through illustration, language that is visual, and words that are jargon-free, the book introduces group theory as the mathematical foundation for discussions of symmetry, covering symmetry groups that include the cyclic groups, frieze groups, and wallpaper groups. The illustrations are drawn by algorithms, following the symmetry rules for each given group. The coloring challenges can be completed and fully realized only on the page; solutions are provided. Online, in a complementary digital edition, the illustrations come to life with animated interactions that show the symmetries that generated them. Traditional math curricula focus on arithmetic and the manipulation of numbers, and may make some learners feel that math is not for them. By offering a more visual and tactile approach, this book shows how math can be for everyone. Combining the playful and the pedagogical, Beautiful Symmetry offers both relaxing entertainment for recreational colorers and a resource for math-curious readers, students, and educators.

Symmetry and the Beautiful Universe

Author : Leon M. Lederman
Publisher : Prometheus Books
ISBN 13 : 1615920412
Total Pages : 363 pages
Book Rating : 4.6/5 (159 download)

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Book Synopsis Symmetry and the Beautiful Universe by : Leon M. Lederman

Download or read book Symmetry and the Beautiful Universe written by Leon M. Lederman and published by Prometheus Books. This book was released on 2011-11-29 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: When scientists peer through a telescope at the distant stars in outer space or use a particle-accelerator to analyze the smallest components of matter, they discover that the same laws of physics govern the whole universe at all times and all places. Physicists call the eternal, ubiquitous constancy of the laws of physics symmetry. Symmetry is the basic underlying principle that defines the laws of nature and hence controls the universe. This all-important insight is one of the great conceptual breakthroughs in modern physics and is the basis of contemporary efforts to discover a grand unified theory to explain all the laws of physics. Nobel Laureate Leon M. Lederman and physicist Christopher T. Hill explain the supremely elegant concept of symmetry and all its profound ramifications to life on Earth and the universe at large in this eloquent, accessible popular science book. They not only clearly describe concepts normally reserved only for physicists and mathematicians, but they also instill an appreciation for the profound beauty of the universe’s inherent design. Central to the story of symmetry is an obscure, unpretentious, but extremely gifted German mathematician named Emmy Noether. Though still little known to the world, she impressed no less a scientist than Albert Einstein, who praised her "penetrating mathematical thinking." In some of her earliest work she proved that the law of the conservation of energy was connected to the idea of symmetry and thus laid the mathematical groundwork for what may be the most important concept of modern physics. Lederman and Hill reveal concepts about the universe, based on Noether’s work, that are largely unknown to the public and have wide-reaching implications in connection with the Big Bang, Einstein’s theory of relativity, quantum mechanics, and many other areas of physics. Through ingenious analogies and illustrations, they bring these astounding notions to life. This book will open your eyes to a universe you never knew existed.

Why Beauty Is Truth

Author : Ian Stewart
Publisher :
ISBN 13 : 0465082378
Total Pages : 306 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Why Beauty Is Truth by : Ian Stewart

Download or read book Why Beauty Is Truth written by Ian Stewart and published by . This book was released on 2008-04-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics.

Symmetry

Author : Kristopher Tapp
Publisher : Springer Nature
ISBN 13 : 3030516695
Total Pages : 263 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Symmetry by : Kristopher Tapp

Download or read book Symmetry written by Kristopher Tapp and published by Springer Nature. This book was released on 2021-08-28 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric.

Fearful Symmetry

Author : A. Zee
Publisher : Princeton University Press
ISBN 13 : 1400874505
Total Pages : 376 pages
Book Rating : 4.4/5 (8 download)

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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.

A Beautiful Question

Author : Frank Wilczek
Publisher : Penguin
ISBN 13 : 0698195620
Total Pages : 335 pages
Book Rating : 4.6/5 (981 download)

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Book Synopsis A Beautiful Question by : Frank Wilczek

Download or read book A Beautiful Question written by Frank Wilczek and published by Penguin. This book was released on 2015-07-14 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does the universe embody beautiful ideas? Artists as well as scientists throughout human history have pondered this “beautiful question.” With Nobel laureate Frank Wilczek as your guide, embark on a voyage of related discoveries, from Plato and Pythagoras up to the present. Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring. Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos. Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves. Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.

Beautiful Symmetry

Author : Jessica Christianson
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781978445406
Total Pages : 40 pages
Book Rating : 4.4/5 (454 download)

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Book Synopsis Beautiful Symmetry by : Jessica Christianson

Download or read book Beautiful Symmetry written by Jessica Christianson and published by Createspace Independent Publishing Platform. This book was released on 2017-10-18 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is everywhere! It can be as simple as the wheels on a bike, or as complicated as the gravity and motion that allows a cyclist not to fall over. The way we understand it today is in large part thanks to the work of Emmy Noether, a woman who chose to be incredibly brave in a very challenging time. Not only did she escape fascist Germany during the peak of World War 2, but she redefined what it meant to be a woman in mathematics at the time when she earned her PHD and worked alongside the one and only Albert Einstein. Look for the symmetry on each page, illustrated by hand in the style of Art Deco as was in vogue at the time of Emmy's life. Beautiful Symmetry is the third book in the four part series, STEM Super-heroines, published by Girls Rock Math. GRM aims to inspire youth with stories of the brave, creative, and accomplished women that have helped shape mathematics as we know it today. Girls Rock Math is a program that aims to provide thought provoking, creative experiences in math, empowering girls to develop confidence in their skills and a life-long interest in mathematics.

Creating Symmetry

Author : Frank A. Farris
Publisher : Princeton University Press
ISBN 13 : 1400865670
Total Pages : 247 pages
Book Rating : 4.4/5 (8 download)

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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.

Symmetry

Author : David Wade
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802715389
Total Pages : 68 pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis Symmetry by : David Wade

Download or read book Symmetry written by David Wade and published by Bloomsbury Publishing USA. This book was released on 2006-10-17 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: As much of interest to mathematicians as it is to artists, as relevant to physics as to architecture, symmetry underlies almost every aspect of nature and our experience of the world. Illustrated with old engravings and original work by the author, this book moves from church windows and mirror reflections to the deepest ideas of hidden symmetries in physics and geometry, music and the arts, left- and right-handedness.

Symmetry Discovered

Author : Joe Rosen
Publisher : Courier Corporation
ISBN 13 : 048614500X
Total Pages : 176 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Symmetry Discovered by : Joe Rosen

Download or read book Symmetry Discovered written by Joe Rosen and published by Courier Corporation. This book was released on 2012-10-16 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Newly enlarged classic covers basic concepts and terminology, lucid discussions of geometric symmetry, other symmetries and approximate symmetry, symmetry in nature, in science, more. Solutions to problems. Expanded bibliography. 1975 edition.

Physics from Symmetry

Author : Jakob Schwichtenberg
Publisher : Springer
ISBN 13 : 3319666312
Total Pages : 287 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Physics from Symmetry by : Jakob Schwichtenberg

Download or read book Physics from Symmetry written by Jakob Schwichtenberg and published by Springer. This book was released on 2017-12-01 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.

Creative Woodburning

Author : Bee Locke
Publisher : Penguin
ISBN 13 : 1615649204
Total Pages : 472 pages
Book Rating : 4.6/5 (156 download)

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Book Synopsis Creative Woodburning by : Bee Locke

Download or read book Creative Woodburning written by Bee Locke and published by Penguin. This book was released on 2020-08-11 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turn an ordinary piece of wood into a fire-burned masterpiece! If you're a crafter or an artist looking for something new and different, try pyrography. With this type of art, you use a heated instrument to burn images and words into wood. By using techniques from drawing, such as shading and stippling, you can also add depth and embellishments to your creations. It's easy to get started with pyrography–and Creative Woodburning can help you jump into this hot new craft. This book features: • An introduction to pyrography and the tools you need to get started • Expert advice on how to choose the right materials and how to create a safe working environment • 20 projects, including a jewelry box, a cutting board, a wooden egg, a clock, and a gourd birdhouse • More than 180 patterns–from animal and nature designs to borders and geometric and decorative shapes • Techniques for shading, adding color, and sealing your projects The power of your pyrography imagination is just between your fingertips and Creative Woodburning can help you tap into your inspiration. Even if you've never done burning of any kind before, pyrography expert Bee Locke can show you a safe yet fun way to play with fire.

Fearless Symmetry

Author : Avner Ash
Publisher : Princeton University Press
ISBN 13 : 0691138710
Total Pages : 308 pages
Book Rating : 4.6/5 (911 download)

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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.

Shapes, Space, and Symmetry

Author : Alan Holden
Publisher : Courier Corporation
ISBN 13 : 9780486268514
Total Pages : 218 pages
Book Rating : 4.2/5 (685 download)

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Book Synopsis Shapes, Space, and Symmetry by : Alan Holden

Download or read book Shapes, Space, and Symmetry written by Alan Holden and published by Courier Corporation. This book was released on 1991-01-01 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.

Fearful Symmetry

Author : Ian Stewart
Publisher : Courier Corporation
ISBN 13 : 0486477584
Total Pages : 326 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Fearful Symmetry by : Ian Stewart

Download or read book Fearful Symmetry written by Ian Stewart and published by Courier Corporation. This book was released on 2010-08-01 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: "From the shapes of clouds to dewdrops on a spider's web, this accessible book employs the mathematical concepts of symmetry to portray fascinating facets of the physical and biological world. More than 120 figures illustrate the interaction of symmetry with dynamics and the mathematical unity of nature's patterns"--

Mirror Symmetry

Author : Claire Voisin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821819470
Total Pages : 148 pages
Book Rating : 4.8/5 (194 download)

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Book Synopsis Mirror Symmetry by : Claire Voisin

Download or read book Mirror Symmetry written by Claire Voisin and published by American Mathematical Soc.. This book was released on 1999 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the English translation of Professor Voisin's book reflecting the discovery of the mirror symmetry phenomenon. The first chapter is devoted to the geometry of Calabi-Yau manifolds, and the second describes, as motivation, the ideas from quantum field theory that led to the discovery of mirror symmetry. The other chapters deal with more specialized aspects of the subject: the work of Candelas, de la Ossa, Greene, and Parkes, based on the fact that under the mirror symmetry hypothesis, the variation of Hodge structure of a Calabi-Yau threefold determines the Gromov-Witten invariants of its mirror; Batyrev's construction, which exhibits the mirror symmetry phenomenon between hypersurfaces of toric Fano varieties, after a combinatorial classification of the latter; the mathematical construction of the Gromov-Witten potential, and the proof of its crucial property (that it satisfies the WDVV equation), which makes it possible to construct a flat connection underlying a variation of Hodge structure in the Calabi-Yau case. The book concludes with the first "naive" Givental computation, which is a mysterious mathematical justification of the computation of Candelas, et al.

Emmy Noether's Wonderful Theorem

Author : Dwight E. Neuenschwander
Publisher : JHU Press
ISBN 13 : 1421422689
Total Pages : 338 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Emmy Noether's Wonderful Theorem by : Dwight E. Neuenschwander

Download or read book Emmy Noether's Wonderful Theorem written by Dwight E. Neuenschwander and published by JHU Press. This book was released on 2017-04-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important—and beautiful—mathematical solutions ever devised, Noether’s theorem touches on every aspect of physics. "In the judgment of the most competent living mathematicians, Fräulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began."—Albert Einstein The year was 1915, and the young mathematician Emmy Noether had just settled into Göttingen University when Albert Einstein visited to lecture on his nearly finished general theory of relativity. Two leading mathematicians of the day, David Hilbert and Felix Klein, dug into the new theory with gusto, but had difficulty reconciling it with what was known about the conservation of energy. Knowing of her expertise in invariance theory, they requested Noether’s help. To solve the problem, she developed a novel theorem, applicable across all of physics, which relates conservation laws to continuous symmetries—one of the most important pieces of mathematical reasoning ever developed. Noether’s “first” and “second” theorem was published in 1918. The first theorem relates symmetries under global spacetime transformations to the conservation of energy and momentum, and symmetry under global gauge transformations to charge conservation. In continuum mechanics and field theories, these conservation laws are expressed as equations of continuity. The second theorem, an extension of the first, allows transformations with local gauge invariance, and the equations of continuity acquire the covariant derivative characteristic of coupled matter-field systems. General relativity, it turns out, exhibits local gauge invariance. Noether’s theorem also laid the foundation for later generations to apply local gauge invariance to theories of elementary particle interactions. In Dwight E. Neuenschwander’s new edition of Emmy Noether’s Wonderful Theorem, readers will encounter an updated explanation of Noether’s “first” theorem. The discussion of local gauge invariance has been expanded into a detailed presentation of the motivation, proof, and applications of the “second” theorem, including Noether’s resolution of concerns about general relativity. Other refinements in the new edition include an enlarged biography of Emmy Noether’s life and work, parallels drawn between the present approach and Noether’s original 1918 paper, and a summary of the logic behind Noether’s theorem.