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| Author | : John H. Conway |
| Publisher | : CRC Press |
| Total Pages | : 442 |
| Release | : 2016-04-05 |
| Genre | : Mathematics |
| ISBN | : 1439864896 |
Download The Symmetries of Things Book in PDF, ePub and Kindle
Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.
| Author | : Alex Berke |
| Publisher | : MIT Press |
| Total Pages | : 165 |
| Release | : 2020-02-18 |
| Genre | : Mathematics |
| ISBN | : 026253892X |
Download Beautiful Symmetry Book in PDF, ePub and Kindle
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.
| Author | : Giovanni Costa |
| Publisher | : Springer |
| Total Pages | : 300 |
| Release | : 2012-02-03 |
| Genre | : Science |
| ISBN | : 3642154824 |
Download Symmetries and Group Theory in Particle Physics Book in PDF, ePub and Kindle
Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.
| Author | : Katherine Brading |
| Publisher | : Cambridge University Press |
| Total Pages | : 459 |
| Release | : 2003-12-04 |
| Genre | : Science |
| ISBN | : 1139442023 |
Download Symmetries in Physics Book in PDF, ePub and Kindle
This book brings together philosophical discussions of symmetry in physics, highlighting the main issues and controversies. It covers all the fundamental symmetries of modern physics, as well as discussing symmetry-breaking and general interpretational issues. For each topic, classic texts are followed by review articles and short commentaries.
| Author | : Jeanette Winterson |
| Publisher | : Vintage |
| Total Pages | : 145 |
| Release | : 2013-04-17 |
| Genre | : Fiction |
| ISBN | : 0307763633 |
Download Gut Symmetries Book in PDF, ePub and Kindle
The highwire artist of the English novel redraws the romantic triangle for the post-Einsteinian universe, where gender is as elastic as matter, and any accurate Grand Unified Theory (GUT) must encompass desire alongside electromagnetism and gravity. One starry night on a boat in the mid-Atlantic, Alice, a brilliant English theoretical physicist, begins an affair with Jove, her remorselessly seductive American counterpart. But Jove is married. When Alice confronts his wife, Stella, she swiftly falls in love with her, with consequences that are by turns horrifying, comic, and arousing. Vaulting from Liverpool to New York, from alchemy to string theory, and from the spirit to the flesh, Gut Symmetries is a thrillingly original novel by England's most flamboyantly gifted young writer. "Winterson is unmatched among contemporary writers in her ability to conjure up new-world wonder...A beautiful, stirring and brilliant story."--Times Literary Supplement "Dazzling for [its] intelligence and inventiveness...[Winterson] is possessed of a masterly command of the language and a truly pliant imagination."--Elle "One of our most brilliant, visionary storytellers."--San Francisco Chronicle
| Author | : Klaus Mainzer |
| Publisher | : Walter de Gruyter |
| Total Pages | : 704 |
| Release | : 1996 |
| Genre | : Philosophy |
| ISBN | : 9783110129908 |
Download Symmetries of Nature Book in PDF, ePub and Kindle
| Author | : Ted Dobson |
| Publisher | : Cambridge University Press |
| Total Pages | : 527 |
| Release | : 2022-05-12 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 1108429068 |
Download Symmetry in Graphs Book in PDF, ePub and Kindle
The first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory.
| Author | : R. McWeeny |
| Publisher | : Elsevier |
| Total Pages | : 263 |
| Release | : 2013-09-03 |
| Genre | : Mathematics |
| ISBN | : 1483226247 |
Download Symmetry Book in PDF, ePub and Kindle
Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.
| Author | : C. D. Froggatt |
| Publisher | : World Scientific |
| Total Pages | : 606 |
| Release | : 1991 |
| Genre | : Science |
| ISBN | : 9789971966317 |
Download Origin of Symmetries Book in PDF, ePub and Kindle
The development in our understanding of symmetry principles is reviewed. Many symmetries, such as charge conjugation, parity and strangeness, are no longer considered as fundamental but as natural consequences of a gauge field theory of strong and electromagnetic interactions. Other symmetries arise naturally from physical models in some limiting situation, such as for low energy or low mass. Random dynamics and attempts to explain all symmetries ? even Lorentz invariance and gauge invariance ? without appealing to any fundamental invariance of the laws of nature are discussed. A selection of original papers is reprinted.
| Author | : Bernard L. Johnston |
| Publisher | : CRC Press |
| Total Pages | : 276 |
| Release | : 1997-01-07 |
| Genre | : Mathematics |
| ISBN | : 9780849303012 |
Download Numbers and Symmetry Book in PDF, ePub and Kindle
This textbook presents modern algebra from the ground up using numbers and symmetry. The idea of a ring and of a field are introduced in the context of concrete number systems. Groups arise from considering transformations of simple geometric objects. The analysis of symmetry provides the student with a visual introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate course in modern algebra, it provides a gentle introduction to the subject by allowing students to see the ideas at work in accessible examples, rather than plunging them immediately into a sea of formalism. The student is involved at once with interesting algebraic structures, such as the Gaussian integers and the various rings of integers modulo n, and is encouraged to take the time to explore and become familiar with those structures. In terms of classical algebraic structures, the text divides roughly into three parts:
