Introduction to Differential Geometry

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Author: Luther Pfahler Eisenhart

Publisher: Princeton University Press

ISBN: 1400877865

Category: Mathematics

Page: 316

View: 4591

Book 3 in the Princeton Mathematical Series. Originally published in 1950. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

From Riemann to Differential Geometry and Relativity

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Author: Lizhen Ji,Athanase Papadopoulos,Sumio Yamada

Publisher: Springer

ISBN: 3319600397

Category: Mathematics

Page: 647

View: 1457

This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.

D-Modules and Spherical Representations. (MN-39)

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Author: Frédéric V. Bien

Publisher: Princeton University Press

ISBN: 1400862078

Category: Mathematics

Page: 142

View: 6304

The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support and the characteristic variety, to representations of Lie groups. By considering D-modules on flag varieties, one obtains a simple classification of all irreducible admissible representations of reductive Lie groups. On the other hand, it is natural to study the representations realized by functions on pseudo-Riemannian symmetric spaces, i.e., spherical representations. The problem is then to describe the spherical representations among all irreducible ones, and to compute their multiplicities. This is the goal of this work, achieved fairly completely at least for the discrete series representations of reductive symmetric spaces. The book provides a general introduction to the theory of D-modules on flag varieties, and it describes spherical D-modules in terms of a cohomological formula. Using microlocalization of representations, the author derives a criterion for irreducibility. The relation between multiplicities and singularities is also discussed at length. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Lectures on Riemann Surfaces

Jacobi Varieties

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Author: Robert C. Gunning

Publisher: Princeton University Press

ISBN: 1400872693

Category: Mathematics

Page: 198

View: 2218

A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces. Whereas the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis presented here requires the use of various properties of Jacobi varieties and of symmetric products of Riemann surfaces, and so serves as a further introduction to these topics as well. The first chapter consists of a rather explicit description of a canonical basis for the Abelian differentials on a marked Riemann surface, and of the description of the canonical meromorphic differentials and the prime function of a marked Riemann surface. Chapter 2 treats Jacobi varieties of compact Riemann surfaces and various subvarieties that arise in determining the dimensions of spaces of holomorphic cross-sections of complex line bundles. In Chapter 3, the author discusses the relations between Jacobi varieties and symmetric products of Riemann surfaces relevant to the determination of dimensions of spaces of holomorphic cross-sections of complex line bundles. The final chapter derives Torelli's theorem following A. Weil, but in an analytical context. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

GAMMA

Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung

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Author: Julian Havil

Publisher: Springer-Verlag

ISBN: 3540484965

Category: Mathematics

Page: 302

View: 3819

Jeder kennt p = 3,14159..., viele kennen e = 2,71828..., einige i. Und dann? Die "viertwichtigste" Konstante ist die Eulersche Zahl g = 0,5772156... - benannt nach dem genialen Leonhard Euler (1707-1783). Bis heute ist unbekannt, ob g eine rationale Zahl ist. Das Buch lotet die "obskure" Konstante aus. Die Reise beginnt mit Logarithmen und der harmonischen Reihe. Es folgen Zeta-Funktionen und Eulers wunderbare Identität, Bernoulli-Zahlen, Madelungsche Konstanten, Fettfinger in Wörterbüchern, elende mathematische Würmer und Jeeps in der Wüste. Besser kann man nicht über Mathematik schreiben. Was Julian Havil dazu zu sagen hat, ist spektakulär.

Notes on Crystalline Cohomology. (MN-21)

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Author: Pierre Berthelot,Arthur Ogus

Publisher: Princeton University Press

ISBN: 1400867312

Category: Mathematics

Page: 256

View: 3291

Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic tools used in the study of crystalline cohomology of algebraic varieties in positive characteristic. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

On Uniformization of Complex Manifolds

The Role of Connections (MN-22)

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Author: Robert C. Gunning

Publisher: Princeton University Press

ISBN: 1400869307

Category: Mathematics

Page: 148

View: 4646

The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup structures, affine or projective structures, on Riemann surfaces. In fact, the additional structures involved can be considered as local forms of the uniformizations of Riemann surfaces. In this study, Robert Gunning discusses the corresponding pseudogroup structures on higher-dimensional complex manifolds, modeled on the theory as developed for Riemann surfaces. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Encyclopedia of mathematical physics

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Author: Sheung Tsun Tsou

Publisher: Academic Pr

ISBN: 9780125126601

Category: Science

Page: 3500

View: 5549

The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originated from work in mathematical physics by providing them with focused high quality background information. * First comprehensive interdisciplinary coverage * Mathematical Physics explained to stimulate new developments and foster new applications of its methods to other fields * Written by an international group of experts * Contains several undergraduate-level introductory articles to facilitate acquisition of new expertise * Thematic index and extensive cross-referencing to provide easy access and quick search functionality * Also available online with active linking.

The Design of Everyday Things

Psychologie und Design der alltäglichen Dinge

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Author: Norman Don

Publisher: Vahlen

ISBN: 3800648105

Category: Business & Economics

Page: 320

View: 8847

Apple, Audi, Braun oder Samsung machen es vor: Gutes Design ist heute eine kritische Voraussetzung für erfolgreiche Produkte. Dieser Klassiker beschreibt die fundamentalen Prinzipien, um Dinge des täglichen Gebrauchs umzuwandeln in unterhaltsame und zufriedenstellende Produkte. Don Norman fordert ein Zusammenspiel von Mensch und Technologie mit dem Ziel, dass Designer und Produktentwickler die Bedürfnisse, Fähigkeiten und Handlungsweisen der Nutzer in den Vordergrund stellen und Designs an diesen angepasst werden. The Design of Everyday Things ist eine informative und spannende Einführung für Designer, Marketer, Produktentwickler und für alle an gutem Design interessierten Menschen. Zum Autor Don Norman ist emeritierter Professor für Kognitionswissenschaften. Er lehrte an der University of California in San Diego und der Northwest University in Illinois. Mitte der Neunzigerjahre leitete Don Norman die Advanced Technology Group bei Apple. Dort prägte er den Begriff der User Experience, um über die reine Benutzbarkeit hinaus eine ganzheitliche Erfahrung der Anwender im Umgang mit Technik in den Vordergrund zu stellen. Norman ist Mitbegründer der Beratungsfirma Nielsen Norman Group und hat unter anderem Autohersteller von BMW bis Toyota beraten. „Keiner kommt an Don Norman vorbei, wenn es um Fragen zu einem Design geht, das sich am Menschen orientiert.“ Brand Eins 7/2013 „Design ist einer der wichtigsten Wettbewerbsvorteile. Dieses Buch macht Spaß zu lesen und ist von größter Bedeutung.” Tom Peters, Co-Autor von „Auf der Suche nach Spitzenleistungen“

Der Heros in tausend Gestalten

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Author: Joseph Campbell

Publisher: Suhrkamp Verlag

ISBN: 3458752609

Category: History

Page: 494

View: 6225

Apollo, der Froschkönig aus dem Märchen, Wotan, Buddha und zahlreiche andere »Helden« aus Volkssagen und Religionen – sie alle lassen sich auf den einen Heros zurückführen, den Ursprung aller Mythen. Und gleichzeitig stellen sie verschiedene Versionen und Ausformungen des Heldentypus dar. Durch umfassende Vergleiche und Deutungen bringt Campbell die Eigenheiten, die Gemeinsamkeiten und die Unterschiede dieser zeitlosen Symbole ans Licht. »Der Heros in tausend Gestalten« ist ein unumgängliches Standardwerk der Mythenforschung – ein Handbuch über die Helden der Menschheitsgeschichte und deren Bedeutung, das auch dem interessierten Laien die Geschichte des Heros verständlich nahebringt.

Eine kurze Geschichte der Menschheit

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Author: Yuval Noah Harari

Publisher: DVA

ISBN: 364110498X

Category: History

Page: 528

View: 5787

Krone der Schöpfung? Vor 100 000 Jahren war der Homo sapiens noch ein unbedeutendes Tier, das unauffällig in einem abgelegenen Winkel des afrikanischen Kontinents lebte. Unsere Vorfahren teilten sich den Planeten mit mindestens fünf weiteren menschlichen Spezies, und die Rolle, die sie im Ökosystem spielten, war nicht größer als die von Gorillas, Libellen oder Quallen. Vor 70 000 Jahren dann vollzog sich ein mysteriöser und rascher Wandel mit dem Homo sapiens, und es war vor allem die Beschaffenheit seines Gehirns, die ihn zum Herren des Planeten und zum Schrecken des Ökosystems werden ließ. Bis heute hat sich diese Vorherrschaft stetig zugespitzt: Der Mensch hat die Fähigkeit zu schöpferischem und zu zerstörerischem Handeln wie kein anderes Lebewesen. Anschaulich, unterhaltsam und stellenweise hochkomisch zeichnet Yuval Harari die Geschichte des Menschen nach und zeigt alle großen, aber auch alle ambivalenten Momente unserer Menschwerdung.

The New Jim Crow

Masseninhaftierung und Rassismus in den USA

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Author: Michelle Alexander

Publisher: Antje Kunstmann

ISBN: 3956141598

Category: Political Science

Page: 352

View: 7782

Die Wahl von Barack Obama im November 2008 markierte einen historischen Wendepunkt in den USA: Der erste schwarze Präsident schien für eine postrassistische Gesellschaft und den Triumph der Bürgerrechtsbewegung zu stehen. Doch die Realität in den USA ist eine andere. Obwohl die Rassentrennung, die in den sogenannten Jim-Crow-Gesetzen festgeschrieben war, im Zuge der Bürgerrechtsbewegung abgeschafft wurde, sitzt heute ein unfassbar hoher Anteil der schwarzen Bevölkerung im Gefängnis oder ist lebenslang als kriminell gebrandmarkt. Ein Status, der die Leute zu Bürgern zweiter Klasse macht, indem er sie ihrer grundsätzlichsten Rechte beraubt – ganz ähnlich den explizit rassistischen Diskriminierungen der Jim-Crow-Ära. In ihrem Buch, das in Amerika eine breite Debatte ausgelöst hat, argumentiert Michelle Alexander, dass die USA ihr rassistisches System nach der Bürgerrechtsbewegung nicht abgeschafft, sondern lediglich umgestaltet haben. Da unter dem perfiden Deckmantel des »War on Drugs« überproportional junge männliche Schwarze und ihre Communities kriminalisiert werden, funktioniert das drakonische Strafjustizsystem der USA heute wie das System rassistischer Kontrolle von gestern: ein neues Jim Crow.

Forthcoming Books

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Author: Rose Arny

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 2578

Slavery and its Legacy in Ghana and the Diaspora

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Author: Rebecca Shumway,Trevor R. Getz

Publisher: Bloomsbury Publishing

ISBN: 1474256643

Category: History

Page: 272

View: 1542

Ghana-for all its notable strides toward more egalitarian political and social systems in the past 60 years-remains a nation plagued with inequalities stemming from its long history of slavery and slave trading. The work assembled in this collection explores the history of slavery in Ghana and its legacy for both Ghana and the descendants of people sold as slaves from the "Gold Coast†? in the era of the transatlantic slave trade. The volume is structured to reflect four overlapping areas of investigation: the changing nature of slavery in Ghana, including the ways in which enslaved people have been integrated into or excluded from kinship systems, social institutions, politics, and the workforce over time; the long-standing connections forged between Ghana and the Americas and Europe through the transatlantic trading system and the forced migration of enslaved people; the development of indigenous and transnational anti-slavery ideologies; and the legacy of slavery and its ongoing reverberations in Ghanaian and diasporic society. Bringing together key scholars from Ghana, Europe and the USA who introduce new sources, frames and methodologies including heritage, gender, critical race, and culture studies, and drawing on archival documents and oral histories, Slavery and Its Legacy in Ghana and the Diaspora will be of great interest to scholars and students of comparative slavery, abolition and West African history.

Series

AAAS to Intro Handbks

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Author: N.A

Publisher: N.A

ISBN: 9780835221061

Category:

Page: 1444

View: 7192