Mathematics In Space And Time

Author : Alexander Unzicker
Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.84/5 ( download)

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Download or read book The Mathematical Reality written by Alexander Unzicker and published by . This book was released on 2020-01-29 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alexander Unzicker is a theoretical physicist and writes about elementary questions of natural philosophy. His critique of contemporary physics Bankrupting Physics (Macmillan) received the 'Science Book of the Year' award (German edition 2010). With The Mathematical Reality, Unzicker presents his most fundamental work to date, which is the result of years of study of natural laws and their historical development.The discovery of fundamental laws of nature has influenced the fate of Homo sapiens more than anything else. Has modern physics already understood these laws? Many puzzles formulated by Albert Einstein or Paul Dirac are still unsolved today, in particular the meaning of fundamental constants. In this book, Unzicker contends that a rational description of nature must do without any constants.A methodological and historical analysis shows, however, that the underlying problem of physics is deep, unexpected and fatal: the concepts of space and time themselves, the basis of science since Newton, could be fundamentally inappropriate for the description of reality, although-or precisely because-they are so easily accessible to human perception.A new understanding of reality can only arise from mathematics. By exploring the three-dimensional unitary sphere, which could replace the concepts of space and time, the author presents a mathematical vision that points the way to a new understanding of reality.

Author : Bernice Kastner
Publisher : Courier Corporation
ISBN 13 : 0486490335
Total Pages : 194 pages
Book Rating : 4.35/5 ( download)

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Download or read book Space Mathematics written by Bernice Kastner and published by Courier Corporation. This book was released on 2012-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created by NASA, thiscollection of worked mathematicalproblems relatedto space science covers abroad range of subjects,including computation andmeasurement, algebra,geometry, probability and statistics, functions, trigonometry,conic sections, and calculus. Geared toward high school studentsand teachers, it also serves as a fine review for undergraduatescience and engineering majors.Reprint of the National Aeronautics and SpaceAdministration, Washington, DC, 1985 edition.

Author : Gregory L. Naber
Publisher : Courier Corporation
ISBN 13 : 9780486432359
Total Pages : 276 pages
Book Rating : 4.51/5 ( download)

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Download or read book The Geometry of Minkowski Spacetime written by Gregory L. Naber and published by Courier Corporation. This book was released on 2003-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This mathematically rigorous treatment examines Zeeman's characterization of the causal automorphisms of Minkowski spacetime and the Penrose theorem concerning the apparent shape of a relativistically moving sphere. Other topics include the construction of a geometric theory of the electromagnetic field; an in-depth introduction to the theory of spinors; and a classification of electromagnetic fields in both tensor and spinor form. Appendixes introduce a topology for Minkowski spacetime and discuss Dirac's famous "Scissors Problem." Appropriate for graduate-level courses, this text presumes only a knowledge of linear algebra and elementary point-set topology. 1992 edition. 43 figures.

Author : S. W. Hawking
Publisher : Cambridge University Press
ISBN 13 : 1139810952
Total Pages : 406 pages
Book Rating : 4.51/5 ( download)

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Download or read book The Large Scale Structure of Space-Time written by S. W. Hawking and published by Cambridge University Press. This book was released on 1975-02-27 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

Author : David Hestenes
Publisher : Birkhäuser
ISBN 13 : 331918413X
Total Pages : 102 pages
Book Rating : 4.35/5 ( download)

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Download or read book Space-Time Algebra written by David Hestenes and published by Birkhäuser. This book was released on 2015-04-25 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: This small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future. At its heart is the use of Clifford algebra to unify otherwise disparate mathematical languages, particularly those of spinors, quaternions, tensors and differential forms. It provides a unified approach covering all these areas and thus leads to a very efficient ‘toolkit’ for use in physical problems including quantum mechanics, classical mechanics, electromagnetism and relativity (both special and general) – only one mathematical system needs to be learned and understood, and one can use it at levels which extend right through to current research topics in each of these areas. These same techniques, in the form of the ‘Geometric Algebra’, can be applied in many areas of engineering, robotics and computer science, with no changes necessary – it is the same underlying mathematics, and enables physicists to understand topics in engineering, and engineers to understand topics in physics (including aspects in frontier areas), in a way which no other single mathematical system could hope to make possible. There is another aspect to Geometric Algebra, which is less tangible, and goes beyond questions of mathematical power and range. This is the remarkable insight it gives to physical problems, and the way it constantly suggests new features of the physics itself, not just the mathematics. Examples of this are peppered throughout ‘Space-Time Algebra’, despite its short length, and some of them are effectively still research topics for the future. From the Foreward by Anthony Lasenby

Author : John Blackwood
Publisher : Waldorf Education Resources
ISBN 13 : 9780863158186
Total Pages : 0 pages
Book Rating : 4.88/5 ( download)

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Download or read book Mathematics in Nature, Space and Time written by John Blackwood and published by Waldorf Education Resources. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a Waldorf teachers' book for math. Its contents include: "Mathematics in Nature" "Pythagoras and Numbers" "Platonic Solids" "Rhythm and Cycles" Full-color illustrations and diagrams throughout Mathematics in Nature, Space, and Time is a Waldorf teacher resource for math in class 7 (ages 12-13) and class 8 (ages 13-14). This new edition combines two previously published handbooks: Mathematics around Us and Mathematics in Space and Time.

Author : Francesco Catoni
Publisher : Springer Science & Business Media
ISBN 13 : 3764386142
Total Pages : 256 pages
Book Rating : 4.46/5 ( download)

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Download or read book The Mathematics of Minkowski Space-Time written by Francesco Catoni and published by Springer Science & Business Media. This book was released on 2008-06-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arose out of original research on the extension of well-established applications of complex numbers related to Euclidean geometry and to the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers is extensively studied, and a plain exposition of space-time geometry and trigonometry is given. Commutative hypercomplex systems with four unities are studied and attention is drawn to their interesting properties.

Author : Max Tegmark
Publisher : Vintage
ISBN 13 : 0307744256
Total Pages : 434 pages
Book Rating : 4.58/5 ( download)

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Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

Author : Hermann Weyl
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.84/5 ( download)

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Download or read book Space-time-matter written by Hermann Weyl and published by . This book was released on 1922 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John Blackwood
Publisher : Lindisfarne Books
ISBN 13 : 9780863155604
Total Pages : 110 pages
Book Rating : 4.0X/5 ( download)

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Download or read book Mathematics in Space and Time written by John Blackwood and published by Lindisfarne Books. This book was released on 2006 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: A teachers' book for mathematics covering 'Platonic Solids' and 'Rhythm and Cycles' which includes full colour illustrations and diagrams throughout.A resource for Steiner-Waldorf teachers for maths for Class 8 (age 13-14).