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| Author | : Joe Rosen |
| Publisher | : Courier Corporation |
| Total Pages | : 176 |
| Release | : 2012-10-16 |
| Genre | : Science |
| ISBN | : 048614500X |
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.
| Author | : Ian Stewart |
| Publisher | : |
| Total Pages | : 306 |
| Release | : 2008-04-29 |
| Genre | : Mathematics |
| ISBN | : 0465082378 |
Physics.
| Author | : David W. Farmer |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 102 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 0821804502 |
This nicely produced volume focuses on the informal analysis of geometrical patterns. By means of a series of carefully selected tasks, the book leads readers to discover some real mathematics. There are no formulas to memorize and no procedures to follow. It is a guide to start you in the right direction and bring you back if you stray too far. Discovery is left to you.
| Author | : Ian Stewart |
| Publisher | : OUP Oxford |
| Total Pages | : 152 |
| Release | : 2013-05-30 |
| Genre | : Mathematics |
| ISBN | : 0191652741 |
In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
| Author | : J. E. Baggott |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 336 |
| Release | : 1994 |
| Genre | : Science |
| ISBN | : |
Buckyballs are hollow-sphere molecules of 60 carbon atoms arranged such that they resemble the famous geodesic domes of Buckminster Fuller. Science writer Baggott recounts how the new form of the common element was developed; the applications of its radically different properties, particularly in high-temperature superconductors; and the implications of its discovery for chemistry and the conception of large carbon structures. Most of his account is accessible to readers with little or no scientific background. Annotation copyright by Book News, Inc., Portland, OR
| 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.
| Author | : Mario Livio |
| Publisher | : Simon and Schuster |
| Total Pages | : 367 |
| Release | : 2005-09-19 |
| Genre | : Mathematics |
| ISBN | : 0743274628 |
What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
| Author | : E. H. Lockwood |
| Publisher | : CUP Archive |
| Total Pages | : 248 |
| Release | : 1978-12-07 |
| Genre | : Mathematics |
| ISBN | : 9780521216852 |
Symmetry is of interest in two ways, artistic and mathematical. It underlies much scientific thought, playing an important role in chemistry and atomic physics, and a dominant one in crystallography. It is important in architectural and engineering design and particularly in the decorative arts. This book provides a comprehensive account of symmetry in a form acceptable to readers without much detailed mathematical knowledge or experience who nevertheless want to understand the basic principles of the subject. It will be useful in school and other libraries and as preliminary reading for students of crystallography. The treatment is geometrical, which should appeal to art students and to readers whose mathematical interests are that way inclined.
| 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.
| Author | : Rocco Gaudenzi |
| Publisher | : Springer Nature |
| Total Pages | : 139 |
| Release | : 2022-04-28 |
| Genre | : Science |
| ISBN | : 3030998959 |
What are the thinking processes and knowledge resources involved in a complex discovery? How can the physics of solids, the physics of nuclei, and elementary particle physics cross-fertilise in spite of the widely differing domains and energy scales they deal with? This book addresses the questions by reconstructing and examining from the historical epistemological perspective the fascinating heuristic path to the concept of spontaneous symmetry breaking. This analysis especially brings to light the role that analogical reasoning and mathematical reformulations played in the discovery process, as well as the influence of the Japanese milieu and approach to physical problems.
