The Geometry of Minkowski Spacetime(2nd Edition) An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) by GregoryL. Naber Paperback, 340 Pages, Published 2014 by Springer ISBN-13: 978-1-4939-0241-5, ISBN: 1-4939-0241-5
"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 c ..."
Topology, Geometry and Gauge fields(Reprint) Foundations (Texts in Applied Mathematics) by GregoryL. Naber Paperback, 457 Pages, Published 2012 by Springer ISBN-13: 978-1-4614-2682-0, ISBN: 1-4614-2682-0
"Like any books on a subject as vast as this, this book has to have a point-of-view to guide the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the top ..."
Topology, Geometry and Gauge fields(2nd Edition) Interactions (Applied Mathematical Sciences) by GregoryL. Naber Hardcover, 420 Pages, Published 2011 by Springer ISBN-13: 978-1-4419-7894-3, ISBN: 1-4419-7894-1
"A study of topology and geometry, beginning with a comprehensible account of the extraordinary and rather mysterious impact of mathematical physics, and especially gauge theory, on the study of the geometry and topology of manifolds. The focus of the book is the Yang-Mills-Higgs field and some considerable effort is expended to make clear its origin and significance in physics. Much of the mathematics develop ..."
The Geometry of Minkowski Spacetime(2nd Edition) An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) by GregoryL. Naber Hardcover, 324 Pages, Published 2011 by Springer ISBN-13: 978-1-4419-7837-0, ISBN: 1-4419-7837-2
"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 c ..."
The Geometry of Minkowski Spacetime(Reprint) An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) by GregoryL. Naber Paperback, 276 Pages, Published 2010 by Springer ISBN-13: 978-1-4419-3102-3, ISBN: 1-4419-3102-3
"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 ordinari ..."
Spacetime and Singularities(1st Edition) An Introduction (London Mathematical Society Student Texts) by GregoryL. Naber Paperback, 192 Pages, Published 1989 by Cambridge University Press ISBN-13: 978-0-521-33612-3, ISBN: 0-521-33612-0
"This book is an elementary introduction to the geometrical methods and notions used in special and general relativity. Particular emphasis is placed on the ideas concerned with the structure of spacetime and those which play a role in the Penrose–Hawking singularity theorems. Indeed, the author's prime purpose is to give a rigorous proof of the simplest of these theorems yet one which is representative of the whole. No previous exposure ..."
Topology, Geometry and Gauge fields(Reprint) Interactions (Applied Mathematical Sciences) by GregoryL. Naber Paperback, 420 Pages, Published 2013 by Springer ISBN-13: 978-1-4614-2838-1, ISBN: 1-4614-2838-6
"A study of topology and geometry, beginning with a comprehensible account of the extraordinary and rather mysterious impact of mathematical physics, and especially gauge theory, on the study of the geometry and topology of manifolds. The focus of the book is the Yang-Mills-Higgs field and some considerable effort is expended to make clear its origin and significance in physics. Much of the mathematics develop ..."
Topology, Geometry and Gauge fields(2nd Edition) Foundations (Texts in Applied Mathematics) by GregoryL. Naber Hardcover, 460 Pages, Published 2010 by Springer ISBN-13: 978-1-4419-7253-8, ISBN: 1-4419-7253-6
"Like any books on a subject as vast as this, this book has to have a point-of-view to guide the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the top ..."
The Geometry of Minkowski Spacetime An Introduction to the Mathematics of the Special Theory of Relativity by GregoryL. Naber Paperback, 272 Pages, Published 2003 by Dover Publications ISBN-13: 978-0-486-43235-9, ISBN: 0-486-43235-1
"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. Appe ..."
Topology, Geometry, and Gauge Fields(1st Edition) Interactions (Applied Mathematical Sciences) by GregoryL. Naber Hardcover, 477 Pages, Published 2000 by Springer ISBN-13: 978-0-387-98947-1, ISBN: 0-387-98947-1
"A study of topology and geometry, beginning with a comprehensible account of the extraordinary and rather mysterious impact of mathematical physics, and especially gauge theory, on the study of the geometry and topology of manifolds. The focus of the book is the Yang-Mills-Higgs field and some considerable effort is expended to make clear its origin and significance in physics. Much of the mathematics developed here to study these field ..."
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Topology, Geometry and Gauge fields(1st Edition) Foundations (Texts in Applied Mathematics) by GregoryL. Naber Hardcover, 420 Pages, Published 1997 by Springer ISBN-13: 978-0-387-94946-8, ISBN: 0-387-94946-1
"This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the ..."
The Geometry of Minkowski Spacetime(1st Edition) An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) by GregoryL. Naber Hardcover, 350 Pages, Published 1992 by Springer ISBN-13: 978-0-387-97848-2, ISBN: 0-387-97848-8
"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 Minko ..."
"Extensive development of a number of topics central to topology, including elementary combinatorial techniques, Sperner's Lemma, the Brouwer Fixed Point Theorem, homotopy theory and the fundamental group, simplicial homology theory, the Hopf Trace Theorem, the Lefschetz Fixed Point Theorem, the Stone-Weierstrass Theorem, and Morse functions. Includes new section of solutions to selected problems."
Spacetime and Singularities(1st Edition) An Introduction (London Mathematical Society Student Texts) by GregoryL. Naber Hardcover, 192 Pages, Published 1989 by Cambridge University Press ISBN-13: 978-0-521-33327-6, ISBN: 0-521-33327-X
"Naber provides an elementary introduction to the geometrical methods and notions used in special and general relativity. Particular emphasis is placed on the ideas concerned with the structure of space-time and that play a role in the Penrose-Hawking singularity theorems. The author's primary purpose is to give a rigorous proof of the simplest of these theorems, by the one that is representative of the whole. He provides exercises and e ..."
"Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, University of Oxford, UK Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and ..."