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Author : Joe Rosen
Publisher : Courier Corporation
Page : 176 pages
File Size : 50,7 Mb
Release : 2012-10-16
Category : Science
ISBN : 9780486145006
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 : Joe Rosen
Publisher : Unknown
Page : 160 pages
File Size : 50,5 Mb
Release : 1975-10-16
Category : Science
ISBN : WISC:89033938119
Author : Ian Stewart
Publisher : Basic Books
Page : 306 pages
File Size : 41,7 Mb
Release : 2007-08-02
Category : Science
ISBN : 9780465008759
At the heart of relativity theory, quantum mechanics, string theory, and much of modern cosmology lies one concept: symmetry. In Why Beauty Is Truth, world-famous mathematician Ian Stewart narrates the history of the emergence of this remarkable area of study. Stewart introduces us to such characters as the Renaissance Italian genius, rogue, scholar, and gambler Girolamo Cardano, who stole the modern method of solving cubic equations and published it in the first important book on algebra, and the young revolutionary Evariste Galois, who refashioned the whole of mathematics and founded the field of group theory only to die in a pointless duel over a woman before his work was published. Stewart also explores the strange numerology of real mathematics, in which particular numbers have unique and unpredictable properties related to symmetry. He shows how Wilhelm Killing discovered "Lie groups" with 14, 52, 78, 133, and 248 dimensions-groups whose very existence is a profound puzzle. Finally, Stewart describes the world beyond superstrings: the "octonionic" symmetries that may explain the very existence of the universe.
Author : David W. Farmer
Publisher : American Mathematical Soc.
Page : 102 pages
File Size : 40,9 Mb
Release : 1996
Category : Mathematics
ISBN : 9780821804506
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
Page : 152 pages
File Size : 53,8 Mb
Release : 2013-05-30
Category : Mathematics
ISBN : 9780191652745
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 : E. H. Lockwood,R. H. MacMillan
Publisher : CUP Archive
Page : 248 pages
File Size : 49,8 Mb
Release : 1978-12-07
Category : Mathematics
ISBN : 0521216850
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 : 54,6 Mb
Release : 2022-04-28
Category : Science
ISBN : 9783030998950
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.
Author : Joe Rosen
Publisher : Unknown
Page : 138 pages
File Size : 52,8 Mb
Release : 1975
Category : Electronic
ISBN : OCLC:859727647
Author : György Darvas
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 46,6 Mb
Release : 2007-06-25
Category : Mathematics
ISBN : 9783764375553
The first comprehensive book on the topic in half a century explores recent symmetry – and symmetry breaking – related discoveries, and discusses the questions and answers they raise in diverse disciplines: particle and high-energy physics, structural chemistry and the biochemistry of proteins, in genetic code study, in brain research, and also in architectural structures, and business decision making, to mention only a few examples.
Author : Werner Hahn
Publisher : World Scientific
Page : 532 pages
File Size : 45,7 Mb
Release : 1998-10-16
Category : Science
ISBN : 9789814500036
Looking beyond the boundaries of various disciplines, the author demonstrates that symmetry is a fascinating phenomenon which provides endless stimulation and challenges. He explains that it is possible to readapt art to the sciences, and vice versa, by means of an evolutionary concept of symmetry. Many pictorial examples are included to enable the reader to fully understand the issues discussed. Based on the artistic evidence that the author has collected, he proposes that the new ars evolutoria can function as an example for the sciences. The book is divided into three distinct parts, each one focusing on a special issue. In Part I, the phenomenon of symmetry, including its discovery and meaning is reviewed. The author looks closely at how Vitruvius, Polyclitus, Democritus, Plato, Aristotle, Plotinus, Augustine, Alberti, Leonardo da Vinci and Durer viewed symmetry. This is followed by an explanation on how the concept of symmetry developed. The author further discusses symmetry as it appears in art and science, as well as in the modern age. Later, he expounds the view of symmetry as an evolutionary concept which can lead to a new unity of science. In Part II, he covers the points of contact between the form-developing process in nature and art. He deals with biological questions, in particular evolution. The collection of new and precise data on perception and knowledge with regard to the postulated reality of symmetry leads to further development of the evolutionary theory of symmetry in Part III. The author traces the enormous treasure of observations made in nature and culture back to a few underlying structural principles. He demonstrates symmetry as a far-reaching, leading, structuring, causal element of evolution, as the idea lying behind nature and culture. Numerous controllable reproducible double-mirror experiments on a new stereoscopic vision verify a symmetrization theory of perception. Contents:On the Concept and Significance of Symmetry:The Discovery of SymmetryOn the Term Symmetry from the Antiquity to the RenaissanceThe Development of an Exact Concept of Symmetry through Scientific ProgressOn Symmetry and Asymmetry as Evolutionary Factors in Nature. The Development of an Evolutionary Concept of SymmetryEvolutionary Symmetrizations in Two and Three Dimensions. On the Syntax and Semantics of SymmetrismOn the Problem of Organic Form Development:Can an Artist Approach the World and Its Content Only in a Metaphorical Way?Evolution: Fairy Tale, Theory or Fact? Can We Experience Evolution Directly?Evolutionism/Ars Evolutoria — The Theory of Light/Colour and Form, Morphogenesis, Morpho-Mutability and Morpho-Evolution as Causal Form Theory: On the Question Whether There can be a Pre-Object, Pre-Morph “Life Process of Form” in Nature and ArtPreliminary Proof for the Principle of Symmetrization as a Form of Movement in Space and TimeCauses and Processes of Morphological Evolution. Essential Facts and InterpretationsThe Architects Symmetrization and Asymmetrization as the Bases for the Perception of Objects and Order as well as Insight-Behaviour and Cultural EvolutionReanimation of Modernism Using Integrating Neo-RenaissanceEvolutionary Symmetry Theory and Universal Evolution Theory Readership: General, biologists and artists. keywords:Evolutionary Symmetry Theory;Asymmetrization/Symmetrization Principle;Formvariation/Mutation;Ars Evolutoria;Science Art;Double-Mirror-Experiments;Cultural Evolution;Neo-Evolutionism;Theory of Protoform;Bifurcation Morphology (Evolutionary Geometry) “Thus it is a great merit to have unrolled the phenomena of symmetries in their full breadth to a monumental work; whether in quanta, atoms, and crystals, or in corporeal forms, senses, and brains, or in the forms of all the artifacts that have originated from human activity. Only then will we become aware of our potentialities: the concert of relations that joins the inorganic and the organic, our sensibilities, our thoughts, and our deeds; that which reciprocally unites nature and culture in the human psyche.” From the Foreword by Professor Rupert Riedl “This book is readable even for those, who have not made detailed studies in the phenomena of symmetry, asymmetry … It must be kept in reach to the desk of any researcher of the evolution and any specialist — regardless of his/her discipline — of symmetry phenomena.” Symmetry: Culture and Science
Author : I. Hargittai
Publisher : Elsevier
Page : 1091 pages
File Size : 53,6 Mb
Release : 2016-02-25
Category : Mathematics
ISBN : 9781483299495
Symmetry 2 aims to present an overview of the contemporary status of symmetry studies, particularly in the arts and sciences, emphasizing both its role and importance. Symmetry is not only one of the fundamental concepts in science, but is also possibly the best unifying concept between various branches of science, the arts and other human activities. Whereas symmetry has been considered important for centuries primarily for its aesthetic appeal, this century has witnessed a dramatic enhancement of its status as a cornerstone in the sciences. In addition to traditionally symmetry-oriented fields such as crystallography and spectroscopy, the concept has made headway in fields as varied as reaction chemistry, nuclear physics, and the study of the origin of the universe. The book was initiated in response to the success of the first volume, which not only received good reviews, but received the award for "The Best Single Issue of a Journal" by the Association of American Publishers for 1986. The second volume extends the application of symmetry to new fields, such as medical sciences and economics, as well as investigating further certain topics introduced in Symmetry. The book is extensively illustrated and with over 64 contributions from 16 countries presents an international overview of the nature and diversity of symmetry studies today.
Author : István Hargittai,Magdolna Hargittai
Publisher : Shelter Publications, Inc.
Page : 244 pages
File Size : 48,5 Mb
Release : 1994
Category : Art
ISBN : 093607017X
Explains and illustrates some fifteen aspects of symmetry-related subjects.
Author : Andrea Vitturi
Publisher : World Scientific
Page : 506 pages
File Size : 50,5 Mb
Release : 2004-04-15
Category : Science
ISBN : 9812702768
The 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 : J. E. Baggott
Publisher : Oxford University Press, USA
Page : 336 pages
File Size : 47,8 Mb
Release : 1994
Category : Science
ISBN : UOM:39015032230909
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
