Laws And Symmetry

Author : Bas C. van Fraassen
Publisher : Clarendon Press
ISBN 13 : 0191519995
Total Pages : 410 pages
Book Rating : 4.94/5 ( download)

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Download or read book Laws and Symmetry written by Bas C. van Fraassen and published by Clarendon Press. This book was released on 1989-11-02 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metaphysicians speak of laws of nature in terms of necessity and universality; scientists do so in terms of symmetry and invariance. This book argues that no metaphysical account of laws can succeed. The author analyses and rejects the arguments that there are laws of nature, or that we must believe that there are. He argues that we should discard the idea of law as an inadequate clue to science. After exploring what this means for general epistemology, the book develops the empiricist view of science as a construction of models to represent the phenomena. Concepts of symmetry, transformation, and invariance illuminate the structure of such models. A central role is played in science by symmetry arguments, and it is shown how these function also in the philosophical analysis of probability. The advocated approach presupposes no realism about laws or necessities in nature.

Author : Joseph Rosen
Publisher : Springer Science & Business Media
ISBN 13 : 3540759735
Total Pages : 312 pages
Book Rating : 4.37/5 ( download)

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Download or read book Symmetry Rules written by Joseph Rosen and published by Springer Science & Business Media. This book was released on 2008-02-20 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: When we use science to describe and understand the world around us, we are in essence grasping nature through symmetry. Emphasizing the concepts, this book leads the reader coherently and comprehensively into the fertile field of symmetry and its applications. Among the most important applications considered are the fundamental forces of nature and the Universe. Written by a renowned expert, this book will convince all interested readers of the importance of symmetry in science.

Author : P.G.L. Leach
Publisher : MDPI
ISBN 13 : 3039282344
Total Pages : 186 pages
Book Rating : 4.40/5 ( download)

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Download or read book Noether's Theorem and Symmetry written by P.G.L. Leach and published by MDPI. This book was released on 2020-03-05 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Noether's original presentation of her celebrated theorem of 1918, allowances were made for the dependence of the coefficient functions of the differential operator which generated the infinitesimal transformation of the Action Integral upon the derivatives of the dependent variable(s), the so-called generalized, or dynamical, symmetries. A similar allowance is to be found in the variables of the boundary function, often termed a gauge function by those who have not read the original paper. This generality was lost after texts such as those of Courant and Hilbert or Lovelock and Rund confined attention to only point transformations. In recent decades, this diminution of the power of Noether's Theorem has been partly countered, in particular, in the review of Sarlet and Cantrijn. In this Special Issue, we emphasize the generality of Noether's Theorem in its original form and explore the applicability of even more general coefficient functions by allowing for nonlocal terms. We also look at the application of these more general symmetries to problems in which parameters or parametric functions have a more general dependence upon the independent variables.

Author : R. McWeeny
Publisher : Elsevier
ISBN 13 : 1483226247
Total Pages : 263 pages
Book Rating : 4.48/5 ( download)

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Download or read book Symmetry written by R. McWeeny and published by Elsevier. This book was released on 2013-09-03 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Leon M. Lederman
Publisher : Prometheus Books
ISBN 13 : 1615920412
Total Pages : 363 pages
Book Rating : 4.19/5 ( download)

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Download or read book Symmetry and the Beautiful Universe written by Leon M. Lederman and published by Prometheus Books. This book was released on 2011-11-29 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jakob Schwichtenberg
Publisher : Springer
ISBN 13 : 3319666312
Total Pages : 287 pages
Book Rating : 4.10/5 ( download)

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Download or read book Physics from Symmetry written by Jakob Schwichtenberg and published by Springer. This book was released on 2017-12-01 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.

Author : Ian Stewart
Publisher : OUP Oxford
ISBN 13 : 0191652741
Total Pages : 152 pages
Book Rating : 4.45/5 ( download)

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Download or read book Symmetry: A Very Short Introduction written by Ian Stewart and published by OUP Oxford. This book was released on 2013-05-30 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ian Stewart
Publisher :
ISBN 13 : 0465082378
Total Pages : 306 pages
Book Rating : 4.77/5 ( download)

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Download or read book Why Beauty Is Truth written by Ian Stewart and published by . This book was released on 2008-04-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics.

Author : A. Zee
Publisher : Princeton University Press
ISBN 13 : 1400874505
Total Pages : 376 pages
Book Rating : 4.07/5 ( download)

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Download or read book Fearful Symmetry written by A. Zee and published by Princeton University Press. This book was released on 2015-10-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engaging exploration of beauty in physics, with a foreword by Nobel Prize–winning physicist Roger Penrose The concept of symmetry has widespread manifestations and many diverse applications—from architecture to mathematics to science. Yet, as twentieth-century physics has revealed, symmetry has a special, central role in nature, one that is occasionally and enigmatically violated. Fearful Symmetry brings the incredible discoveries of the juxtaposition of symmetry and asymmetry in contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how contemporary theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, Fearful Symmetry describes the majestic sweep and accomplishments of twentieth-century physics—one of the greatest chapters in the intellectual history of humankind.

Author : Ian Stewart
Publisher : Courier Corporation
ISBN 13 : 0486477584
Total Pages : 326 pages
Book Rating : 4.89/5 ( download)

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Download or read book Fearful Symmetry written by Ian Stewart and published by Courier Corporation. This book was released on 2010-08-01 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: "From the shapes of clouds to dewdrops on a spider's web, this accessible book employs the mathematical concepts of symmetry to portray fascinating facets of the physical and biological world. More than 120 figures illustrate the interaction of symmetry with dynamics and the mathematical unity of nature's patterns"--