The Symmetry of Stars

The Symmetry of Stars
Author: Alex Myers
Publisher: HarperCollins UK
Total Pages: 272
Release: 2021-09-30
Genre: Fiction
ISBN: 0008352755

From the author of 2020's astonishing The Story of Silence comes another retelling of a chivalric legend, full of magic, myth and self-discovery.

Symmetry

Symmetry
Author: David Wade
Publisher: Bloomsbury Publishing USA
Total Pages: 68
Release: 2006-10-17
Genre: Mathematics
ISBN: 0802715389

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.

Shapes, Space, and Symmetry

Shapes, Space, and Symmetry
Author: Alan Holden
Publisher: Courier Corporation
Total Pages: 218
Release: 1991-01-01
Genre: Mathematics
ISBN: 9780486268514

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.

Symmetry and the Beautiful Universe

Symmetry and the Beautiful Universe
Author: Leon M. Lederman
Publisher: Prometheus Books
Total Pages: 363
Release: 2011-11-29
Genre: Science
ISBN: 1615920412

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.

Symmetry, Causality, Mind

Symmetry, Causality, Mind
Author: Michael Leyton
Publisher: MIT Press
Total Pages: 644
Release: 1992
Genre: Philosophy
ISBN: 9780262621311

In this investigation of the psychological relationship between shape and time, Leyton argues compellingly that shape is used by the mind to recover the past and as such it forms a basis for memory. Michael Leyton's arguments about the nature of perception and cognition are fascinating, exciting, and sure to be controversial. In this investigation of the psychological relationship between shape and time, Leyton argues compellingly that shape is used by the mind to recover the past and as such it forms a basis for memory. He elaborates a system of rules by which the conversion to memory takes place and presents a number of detailed case studies--in perception, linguistics, art, and even political subjugation--that support these rules. Leyton observes that the mind assigns to any shape a causal history explaining how the shape was formed. We cannot help but perceive a deformed can as a dented can. Moreover, by reducing the study of shape to the study of symmetry, he shows that symmetry is crucial to our everyday cognitive processing. Symmetry is the means by which shape is converted into memory. Perception is usually regarded as the recovery of the spatial layout of the environment. Leyton, however, shows that perception is fundamentally the extraction of time from shape. In doing so, he is able to reduce the several areas of computational vision purely to symmetry principles. Examining grammar in linguistics, he argues that a sentence is psychologically represented as a piece of causal history, an archeological relic disinterred by the listener so that the sentence reveals the past. Again through a detailed analysis of art he shows that what the viewer takes to be the experience of a painting is in fact the extraction of time from the shapes of the painting. Finally he highlights crucial aspects of the mind's attempt to recover time in examples of political subjugation.

Symmetry

Symmetry
Author: R. McWeeny
Publisher: Elsevier
Total Pages: 263
Release: 2013-09-03
Genre: Mathematics
ISBN: 1483226247

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.

The Story of Silence

The Story of Silence
Author: Alex Myers
Publisher: HarperCollins UK
Total Pages: 464
Release: 2020-07-09
Genre: Fiction
ISBN: 0008352704

A knightly fairy tale of royalty and dragons, of midwives with secrets and dashing strangers in dark inns. Taking the original French legend as his starting point, The Story of Silence is a rich, multilayered new story for today’s world – sure to delight fans of Uprooted and The Bear and the Nightingale.

Symmetry Theory in Molecular Physics with Mathematica

Symmetry Theory in Molecular Physics with Mathematica
Author: William McClain
Publisher: Springer Science & Business Media
Total Pages: 672
Release: 2010-03-12
Genre: Science
ISBN: 0387734708

Prof. McClain has, quite simply, produced a new kind of tutorial book. It is written using the logic engine Mathematica, which permits concrete exploration and development of every concept involved in Symmetry Theory. It is aimed at students of chemistry and molecular physics who need to know mathematical group theory and its applications, either for their own research or for understanding the language and concepts of their field. The book begins with the most elementary symmetry concepts, then presents mathematical group theory, and finally the projection operators that flow from the Great Orthogonality are automated and applied to chemical and spectroscopic problems.

Symmetry and Spectroscopy

Symmetry and Spectroscopy
Author: Daniel C. Harris
Publisher: Courier Corporation
Total Pages: 588
Release: 1989-01-01
Genre: Science
ISBN: 9780486661445

Informal, effective undergraduate-level text introduces vibrational and electronic spectroscopy, presenting applications of group theory to the interpretation of UV, visible, and infrared spectra without assuming a high level of background knowledge. 200 problems with solutions. Numerous illustrations. "A uniform and consistent treatment of the subject matter." — Journal of Chemical Education.

Symmetry

Symmetry
Author: Kristopher Tapp
Publisher: Springer Nature
Total Pages: 263
Release: 2021-08-28
Genre: Mathematics
ISBN: 3030516695

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.