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Author : Joe Rosen
Publisher : Courier Corporation
Page : 180 pages
File Size : 12,72 MB
Release : 2012-10-16
Category : 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 :
Page : 306 pages
File Size : 19,86 MB
Release : 2008-04-29
Category : Mathematics
ISBN : 0465082378
Physics.
Author : David W. Farmer
Publisher : American Mathematical Soc.
Page : 112 pages
File Size : 10,4 MB
Release : 1996
Category : Mathematics
ISBN : 0821804502
Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you.
Author : Ian Stewart
Publisher : OUP Oxford
Page : 161 pages
File Size : 17,5 MB
Release : 2013-05-30
Category : 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
Page : 336 pages
File Size : 20,95 MB
Release : 1994
Category : 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 : Joe Rosen
Publisher :
Page : 160 pages
File Size : 19,5 MB
Release : 1975-10-16
Category : Science
ISBN :
Author : Mario Livio
Publisher : Simon and Schuster
Page : 367 pages
File Size : 46,8 MB
Release : 2005-09-19
Category : Mathematics
ISBN : 0743274628
The author of The Golden Ratio tells the “lively and fascinating” story of two nineteenth-century mathematicians whose work revealed the laws of symmetry (Nature). 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 three centuries, the quintic equation resisted efforts by mathematicians to find a solution. Working independently, two great prodigies ultimately proved that it couldn’t 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 dramatic account of the lives and work of some of the greatest mathematicians in history.
Author : Istvan Hargittai
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 26,97 MB
Release : 2012-12-06
Category : Medical
ISBN : 1461541794
The title of our volume refers to what is well described by the following two quota tions:"Godcreated man in his own image"l and "Man creates God in his own image."2 Our approach to symmetry is subjective, and the term "personal" symmetry reflects this approach in our discussion of selected scientific events. We have chosen six icons to symbolize six areas: Kepler for modeling, Fuller for new molecules, Pauling for helical structures, Kitaigorodskii for packing, Bernal for quasicrystals, and Curie for dissymmetry. For the past three decades we have been involved in learning, thinking, speaking, and writing about symmetry. This involvement has augmented our principal activities in molecular structure research. Our interest in symmetry had started with a simple fascination and has evolved into a highly charged personal topic for us. At the start of this volume, we had had several authored and edited symmetry related books behind 3 us. We owe a debt of gratitude to the numerous people whose interviews are quoted 4 in this volume. We very much appreciate the kind and gracious cooperation of Edgar J. Applewhite (Washington, DC), Lawrence S. Bartell (University of Michigan), R.
Author : E. H. Lockwood
Publisher : CUP Archive
Page : 248 pages
File Size : 47,68 MB
Release : 1978-12-07
Category : 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 : Rocco Gaudenzi
Publisher : Springer Nature
Page : 139 pages
File Size : 43,37 MB
Release : 2022-04-28
Category : 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.