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Naber, G: Geometry of Minkowski Spacetime - Gregory L. Naber
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Gregory L. Naber:

Naber, G: Geometry of Minkowski Spacetime - neues Buch

ISBN: 9781441931023

ID: 7f5504a2aa3520f747cf1476d889cba8

This mathematically rigorous survey of the special theory of relativity also details the physical significance of that mathematics. In addition to kinematics, particle dynamics and electromagnetic fields it treats subjects usually bypassed at elementary level. This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeemans characterization of the causal automorphisms of Minkowski spacetime, the Penrose theorem on the apparent shape of a relativistically moving sphere, a detailed introduction to the theory of spinors, a Petrov-type classification of electromagnetic fields in both tensor and spinor form, a topology for Minkowski spacetime whose homeomorphism group is essentially the Lorentz group, and a careful discussion of Diracs famous Scissors Problem and its relation to the notion of a two-valued representation of the Lorentz group. This second edition includes a new chapter on the de Sitter universe which is intended to serve two purposes. The first is to provide a gentle prologue to the steps one must take to move beyond special relativity and adapt to the presence of gravitational fields that cannot be considered negligible. The second is to understand some of the basic features of a model of the empty universe that differs markedly from Minkowski spacetime, but may be recommended by recent astronomical observations suggesting that the expansion of our own universe is accelerating rather than slowing down. The treatment presumes only a knowledge of linear algebra in the first three chapters, a bit of real analysis in the fourth and, in two appendices, some elementary point-set topology. The first edition of the book received the 1993 CHOICE award for Outstanding Academic Title. Reviews of first edition: a valuable contribution to the pedagogical literature which will be enjoyed by all who delight in precise mathematics and physics. (American Mathematical Society, 1993) Where many physics texts explain physical phenomena by means of mathematical models, here a rigorous and detailed mathematical development is accompanied by precise physical interpretations. (CHOICE, 1993) his talent in choosing the most significant results and ordering them within the book cant be denied. The reading of the book is, really, a pleasure. (Dutch Mathematical Society, 1993) Bücher / Fremdsprachige Bücher / Englische Bücher 978-1-4419-3102-3, Springer

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The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity - Gregory L. Naber
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Gregory L. Naber:

The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity - neues Buch

ISBN: 9781441931023

ID: 978144193102

This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeeman''s characterization of the causal automorphisms of Minkowski spacetime, the Penrose theorem on the apparent shape of a relativistically moving sphere, a detailed introduction to the theory of spinors, a Petrov-type classification of electromagnetic fields in both tensor and spinor form, a topology for Minkowski spacetime whose homeomorphism group is essentially the Lorentz group, and a careful discussion of Dirac''s famous Scissors Problem and its relation to the notion of a two-valued representation of the Lorentz group. This second edition includes a new chapter on the de Sitter universe which is intended to serve two purposes. The first is to provide a gentle prologue to the steps one must take to move beyond special relativity and adapt to the presence of gravitational fields that cannot be considered negligible. The second is to understand some of the basic features of a model of the empty universe that differs markedly from Minkowski spacetime, but may be recommended by recent astronomical observations suggesting that the expansion of our own universe is accelerating rather than slowing down. The treatment presumes only a knowledge of linear algebra in the first three chapters, a bit of real analysis in the fourth and, in two appendices, some elementary point-set topology. The first edition of the book received the 1993 CHOICE award for Outstanding Academic Title.Reviews of first edition: . a valuable contribution to the pedagogical literature which will be enjoyed by all who delight in precise mathematics and physics. (American Mathematical Society, 1993) Where many physics texts explain physical phenomena by means of mathematical models, here a rigorous and detailed mathematical development is accompanied by precise physical interpretations. (CHOICE, 1993) . his talent in choosing the most significant results and ordering them within the book can''t be denied. The reading of the book is, really, a pleasure. (Dutch Mathematical Society, 1993) Gregory L. Naber, Books, Science and Nature, The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity Books>Science and Nature, Springer New York

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The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) - Gregory L. Naber
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Gregory L. Naber:
The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) - Taschenbuch

2010

ISBN: 9781441931023

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The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) - Gregory L. Naber
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Gregory L. Naber:
The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) - Taschenbuch

2010, ISBN: 9781441931023

ID: 455893334

Springer, 2010-12-01. Paperback. Used:Good. Buy with confidence. Excellent Customer Service & Return policy. Ships Fast. 24*7 Customer Service., Springer, 2010-12-01

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The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) - Naber, Gregory L
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Naber, Gregory L:
The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) - Taschenbuch

2010, ISBN: 9781441931023

ID: 906412566

Springer, 2010-12-01. Paperback. Used:Good. Ships Fast. Expedite Shipping Available., Springer, 2010-12-01

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Details zum Buch
The Geometry of Minkowski Spacetime
Autor:

Naber, Gregory L.

Titel:

The Geometry of Minkowski Spacetime

ISBN-Nummer:

1441931023

It is the intention of this book to provide an introduction to the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. In addition to the material on kinematics, particle dynamics and electromagnetic fields that one would expect to find in any introduction to special relativity, the book contains careful treatment of many topics not ordinarily discussed at the elementary level. These include the Reversed Triangle Inequality, Zeeman's Theorem characterizing causal automorphisms as compositions of translations, dilations and orthochronous orthogonal transformations, Penrose's Theorem on the apparent shape of a relativistically moving sphere, the purely algebraic characterization of null and regular electromagnetic fields and an elementary introduction to the theory of spinors. The only prerequisite for this material is a solid course in linear algebra. This book offers a presentation of the special theory of relativity that is mathematically rigorous and treats, in addition to the menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. The treatment presumes only a knowledge of linear algebra and, in two appendices, elementary point-set topology. This new edition includes a chapter on the de Sitter Universe as well as minor updates throughout.

Detailangaben zum Buch - The Geometry of Minkowski Spacetime


EAN (ISBN-13): 9781441931023
ISBN (ISBN-10): 1441931023
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
276 Seiten
Gewicht: 0,422 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 11.03.2010 11:08:18
Buch zuletzt gefunden am 18.11.2016 18:18:59
ISBN/EAN: 1441931023

ISBN - alternative Schreibweisen:
1-4419-3102-3, 978-1-4419-3102-3

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