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Author: Joe Rosen
Publisher: Courier Corporation
Published: 2012-10-16
Total Pages: 180
ISBN-13: 048614500X
DOWNLOAD EBOOKNewly 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:
Published: 2008-04-29
Total Pages: 306
ISBN-13: 0465082378
DOWNLOAD EBOOKPhysics.
Author: David W. Farmer
Publisher: American Mathematical Soc.
Published: 1996
Total Pages: 112
ISBN-13: 0821804502
DOWNLOAD EBOOKMathematics 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
Published: 2013-05-30
Total Pages: 161
ISBN-13: 0191652741
DOWNLOAD EBOOKIn 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
Published: 1994
Total Pages: 336
ISBN-13:
DOWNLOAD EBOOKBuckyballs 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: Mario Livio
Publisher: Simon and Schuster
Published: 2005-09-19
Total Pages: 367
ISBN-13: 0743274628
DOWNLOAD EBOOKWhat 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: István Hargittai
Publisher: Shelter Publications, Inc.
Published: 1994
Total Pages: 244
ISBN-13: 9780936070179
DOWNLOAD EBOOKExplains and illustrates some fifteen aspects of symmetry-related subjects.
Author: W.I. Fushchich
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 228
ISBN-13: 9400937296
DOWNLOAD EBOOKApproach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the fina\ question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu\ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author: Andrea Vitturi
Publisher: World Scientific
Published: 2004-04-15
Total Pages: 506
ISBN-13: 9789812702760
DOWNLOAD EBOOKThe Highly Specialized Seminar on "Symmetries in Nuclear Structure", held in Erice, Italy, in March 2003, celebrated the career and the remarkable achievements of Francesco Iachello, on the occasion of his 60th birthday. Since the development of the interacting boson model in the early 1970s, the ideas of Iachello have provided a variety of frameworks for understanding collective behaviour in nuclear structure, founded on the concepts of dynamical symmetries and spectrum-generating algebras. The original ideas, which were developed for the description of atomic nuclei, have now been successfully extended to cover spectroscopic behaviour in other fields, such as molecular or hadronic spectra. More recently, the suggestion by Iachello of critical point symmetries to treat nuclei in shape/phase transitional regions has opened an exciting new front for both theoreticians and experimentalists.The talks presented at the meeting covered many of the most active forefront areas of nuclear structure as well as other fields where ideas of symmetries are being explored. Topics in nuclear structure included extensive discussions on dynamical symmetries, critical point symmetries, phase transitions, statistical properties of nuclei, supersymmetry, mixed symmetry states, shears bands, pairing and clustering in nuclei, shape coexistence, exotic nuclei, dipole modes, and astrophysics, among others. In addition, important sessions focused on talks by European laboratory directors (or their representatives) outlining prospects for nuclear structure, and the application of symmetry ideas to molecular phenomena. Finally, a special lecture by Nobel laureate Alex Mueller, on s and d wave symmetry in superconductors, presented a unique insight into an allied field.The proceedings have been selected for coverage in:* Index to Scientific & Technical Proceedings� (ISTP� / ISI Proceedings)* Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)* CC Proceedings -- Engineering & Physical Sciences
Author: Dorothy Koster Washburn
Publisher: UNM Press
Published: 2004
Total Pages: 208
ISBN-13: 9780826331526
DOWNLOAD EBOOKScholars representing several disciplines examine how patterns and symmetry are expressed and resonate in a variety of man's creations and cultures.
