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R 3,177.89
Minkowski Spacetime: A Hundred Years Later
This volume is dedicated to the one hundredth anniversary of the publication of Hermann Minkowski's paper "Raum und Zeit" in 1909 [1]. The paper presents the textofthetalkMinkowskigaveatthe80thMeetingoftheGermanNaturalScientists and Physicians in Cologne on September 21, 1908. Minkowski's work on the spacetime representation of special relativity had a huge impact on the twentieth century physics, which can be best expressed by merely stating what is undeniable - that modern physics would be impossible wi- out the notion of spacetime. It is suf cient to mention as an example only the fact that general relativity would be impossible without this notion; Einstein succeeded to identifygravitywith the curvatureofspacetime onlywhen he overcamehis initial hostile reactionto Minkowski'sfour-dimensionalrepresentationof special relativity and adopted spacetime as the correct relativistic picture of the world. While there exists an unanimous consensus on the mathematical signi cance of spacetime for theoretical physics, for a hundred years there has been no consensus on the nature of spacetime itself.The rst sign of this continuing controversy was Sommerfeld's remark in his notes on Minkowski's article [2]: "What will be the epistemologicalattitudetowardsMinkowski'sconceptionofthetime-spaceproblem is another question, but, as it seems to me, a question which does not essentially touch his physics".
R 3,048.33
R 306.00
R 813.00
R 290.63
R 955.86
Minkowski Spacetime: A Hundred Years Later
This volume is dedicated to the one hundredth anniversary of the publication of Hermann Minkowski's paper "Raum und Zeit" in 1909 [1]. The paper presents the textofthetalkMinkowskigaveatthe80thMeetingoftheGermanNaturalScientists and Physicians in Cologne on September 21, 1908. Minkowski's work on the spacetime representation of special relativity had a huge impact on the twentieth century physics, which can be best expressed by merely stating what is undeniable - that modern physics would be impossible wi- out the notion of spacetime. It is suf cient to mention as an example only the fact that general relativity would be impossible without this notion; Einstein succeeded to identifygravitywith the curvatureofspacetime onlywhen he overcamehis initial hostile reactionto Minkowski'sfour-dimensionalrepresentationof special relativity and adopted spacetime as the correct relativistic picture of the world. While there exists an unanimous consensus on the mathematical signi cance of spacetime for theoretical physics, for a hundred years there has been no consensus on the nature of spacetime itself.The rst sign of this continuing controversy was Sommerfeld's remark in his notes on Minkowski's article [2]: "What will be the epistemologicalattitudetowardsMinkowski'sconceptionofthetime-spaceproblem is another question, but, as it seems to me, a question which does not essentially touch his physics".
R 3,857.42
R 1,209.01
Hermann Minkowski Briefe an David Hilbert
Die hier vorIiegenden Briefe meines Vaters, des Mathematikers HERMANN MINKOWSKI, an seinen Studienkamerad und Freund DAVID HILBERT, geben einen wertvollen Einblick in die menschliche und mathematisch-wissensmaftliche Ver- bundenheit der beiden Wissenschaftler. Sie umspannen die Jahre 1885 bis 1908, geben. also ein Bild vom 21sten Lebensjahre bis zum allzu fruhen Tode meines Vaters. DAVID HILBERT hat diese Briefe seines Freundes gesammelt. Es finden sim darin einige dicke Striche am Rand des Textes, zuweilen auch Unterstreimungen, die nicht von der Hand des Schreibers herruhren durften. Sie stammen vermut- lim von HILBERT selbst und beziehen sim auf die von ihm geplanten Folgerungen und Antworten. Diese gesammelten Briefe hat Frau KATHE HILBERT ungefahr 1930 an meine Mutter gegeben mit der Bitte, daB statt dessen meine Mutter die von meinem Vater mit derselben Sorgfalt gesammelten Briefe HILBERTS an sie zuruckgeben momte. Leider sind letztere Briefe nicht abgeschrieben worden, so- lange sie in unseren Handen waren. Hingegen wurden die Briefe meines Vaters vervielfaltigt und sind danach von meiner Mutter dem Mathematismen Institut der Universitat GOttingen uber- geben worden. Diese Originale befinden sich jetzt in der Niedersachsischen Staats- und Universitatsbibliothek in Gottingen. Zu meinem groBen Bedauern sind HILBERTS Briefe trotz eifrigster Bemuhungen nimt auffindbar und mussen leider als verloren angesehen werden. Die erhaltenen MINKOwsKI-Briefe jedom geben aum ohne die Gegenbriefe HILBERTS ein klares Bild von dem Wachsen der Freundschaft, von der personlichen Entwicklung der Schreibenden, von dem wamsenden Austausch ihrer Gedanken und der Gemeinsamkeit ihrer fachlichen Interessen.
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R 455.00
From Fermat to Minkowski
This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in number-theoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics and examples tries to show how, in the historical development, the investigation of obvious or natural questions has led to more and more comprehensive and profound theories, how again and again, surprising connections between seemingly unrelated problems were discovered, and how the introduction of new methods and concepts led to the solution of hitherto unassailable questions. All this means that we do not present the student with polished proofs (which in turn are the fruit of a long historical development); rather, we try to show how these theorems are the necessary consequences of natural questions. Two examples might illustrate our objectives.
R 1,539.89
R 1,112.34
Dostojewskij Und Der Sozialismus
Dostojewskijs Beteiligung an einem Gesprächskreis, in dem frühsozialistische Ideen diskutiert wurden, hätte ihn fast das Leben gekostet. Nach seinen Sträflingsjahren wandelte sich der russische Autor zu einem erbitterten Gegner des westeuropäischen Sozialismus, in dem er gar den Antichristen zu erkennen glaubte. Dagegen predigte er einen christlich bestimmten russischen Sozialismus. Das Jahrbuch behandelt das Titelthema unter zwei Blickwinkeln: Einmal geht es darum, was verstand Dostojewskij selbst unter Sozialismus, und wie spiegelt sich dieses Verständnis in seinen Romanen wider. Zum anderen wird danach gefragt, wie sich bekennende Sozialisten im 20. Jahrhundert zum Werk dieses »vertrackten« russischen Schriftstellers geäußert haben.
R 1,441.00
R 611.00
R 504.00
Convex Bodies: The Brunn–Minkowski Theory
At the heart of this monograph is the Brunn–Minkowski theory, which can be used to great effect in studying such ideas as volume and surface area and their generalizations. In particular, the notions of mixed volume and mixed area measure arise naturally and the fundamental inequalities that are satisfied by mixed volumes are considered here in detail. The author presents a comprehensive introduction to convex bodies, including full proofs for some deeper theorems. The book provides hints and pointers to connections with other fields and an exhaustive reference list. This second edition has been considerably expanded to reflect the rapid developments of the past two decades. It includes new chapters on valuations on convex bodies, on extensions like the Lp Brunn–Minkowski theory, and on affine constructions and inequalities. There are also many supplements and updates to the original chapters, and a substantial expansion of chapter notes and references.
R 8,338.15
Geometry of Minkowski Spacetime
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)
R 1,832.22
Dominionball
From the Introduction: This volume contains essays that describe many leagues now long gone, and teams that fostered a love of the sport in communities where fans never saw or even heard a major league game. There are personal pieces by players and a coach, vignettes of their baseball careers in Canada. There is sadness in the account of the untimely death of Linus "Skeeter" Ebnet on the diamond in 1938. Humour is not lacking here, though, with lighter pieces by David McDonald on the WWI-era Canadian League, and Kit Krieger's account of his meteoric rise to PCL stardom. Before there were Expos and Jays, there were great International League teams now in Montreal and Toronto, when the International League contained players of renown. The sport has a peculiar hold on the imagination of the French, as we see in Michel Nareau's piece on baseball in Québécois fiction. Inevitably, this journal is about the past rather than the present, but not always the distant past.
R 341.00
Minkowski Geometry
Minkowski geometry is a type of non-Euclidean geometry in a finite number of dimensions in which distance is not 'uniform' in all directions. This book presents the first comprehensive treatment of Minkowski geometry since the 1940s. The author begins by describing the fundamental metric properties and the topological properties of existence of Minkowski space. This is followed by a treatment of two-dimensional spaces and characterisations of Euclidean space among normed spaces. The central three chapters present the theory of area and volume in normed spaces, a fascinating geometrical interplay among the various roles of the ball in Euclidean space. Later chapters deal with trigonometry and differential geometry in Minkowski spaces. The book ends with a brief look at J. J. Schaffer's ideas on the intrinsic geometry of the unit sphere. Minkowski Geometry will appeal to students and researchers interested in geometry, convexity theory and functional analysis.
R 6,514.88
R 2,745.00
R 296.01
R 394.00
From Fermat to Minkowski
This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in number-theoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics and examples tries to show how, in the historical development, the investigation of obvious or natural questions has led to more and more comprehensive and profound theories, how again and again, surprising connections between seemingly unrelated problems were discovered, and how the introduction of new methods and concepts led to the solution of hitherto unassailable questions. All this means that we do not present the student with polished proofs (which in turn are the fruit of a long historical development); rather, we try to show how these theorems are the necessary consequences of natural questions. Two examples might illustrate our objectives.
R 1,540.07
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