K-Theory, Arithmetic and Geometry

Seminar, Moscow University, 1984-1986

Author: Yurij I. Manin

Publisher: Springer

ISBN: 3540480161

Category: Mathematics

Page: 404

View: 7934

This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry. The main topics discussed include additive K-theory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and Neveu-Schwarz algebras.
Posted in Mathematics

A Century of Mathematics in America

Author: Peter L. Duren,Richard Askey,Uta C. Merzbach

Publisher: American Mathematical Soc.

ISBN: 9780821801307

Category: Mathematics

Page: 585

View: 4503

The first section of the book deals with some of the influential mathematics departments in the United States. Functioning as centers of research and training, these departments played a major role in shaping the mathematical life in this country. The second section deals with an extraordinary conference held at Princeton in 1946 to commemorate the university's bicentennial. The influence of women in American mathematics, the burgeoning of differential geometry in the last 50 years, and discussions of the work of von Karman and Weiner are among other topics covered. To download free chapters of this book, click here.
Posted in Mathematics

Motives

Author: Uwe Jannsen,Steven L. Kleiman,Jean-Pierre Serre

Publisher: American Mathematical Soc.

ISBN: 0821827979

Category: Mathematics

Page: 747

View: 6396

'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, to play the role of the missing rational cohomology, and to provide a blueprint for proving Weil's conjectures about the zeta function of a variety over a finite field. Over the last ten years or so, researchers in various areas - Hodge theory, algebraic $K$-theory, polylogarithms, automorphic forms, $L$-functions, $\ell$-adic representations, trigonometric sums, and algebraic cycles - have discovered that an enlarged (and in part conjectural) theory of 'mixed' motives indicates and explains phenomena appearing in each area.Thus the theory holds the potential of enriching and unifying these areas. This is one of two volumes containing the revised texts of nearly all the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991. A number of related works are also included, making for a total of forty-seven papers, from general introductions to specialized surveys to research papers.
Posted in Mathematics

PAMQ

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 7855

Posted in Mathematics

Invariance Theory

The Heat Equation and the Atiyah-Singer Index Theorem

Author: Peter B. Gilkey

Publisher: CRC Press

ISBN: 1351436422

Category: Mathematics

Page: 536

View: 5583

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.
Posted in Mathematics

An Introduction to Intersection Homology Theory, Second Edition

Author: Frances Kirwan,Jonathan Woolf

Publisher: CRC Press

ISBN: 9781584881841

Category: Mathematics

Page: 248

View: 1373

Now more that a quarter of a century old, intersection homology theory has proven to be a powerful tool in the study of the topology of singular spaces, with deep links to many other areas of mathematics, including combinatorics, differential equations, group representations, and number theory. Like its predecessor, An Introduction to Intersection Homology Theory, Second Edition introduces the power and beauty of intersection homology, explaining the main ideas and omitting, or merely sketching, the difficult proofs. It treats both the basics of the subject and a wide range of applications, providing lucid overviews of highly technical areas that make the subject accessible and prepare readers for more advanced work in the area. This second edition contains entirely new chapters introducing the theory of Witt spaces, perverse sheaves, and the combinatorial intersection cohomology of fans. Intersection homology is a large and growing subject that touches on many aspects of topology, geometry, and algebra. With its clear explanations of the main ideas, this book builds the confidence needed to tackle more specialist, technical texts and provides a framework within which to place them.
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Deutsche Bibliographie

Halbjahres-Verzeichnis

Author: N.A

Publisher: N.A

ISBN: N.A

Category: German imprints

Page: N.A

View: 736

Posted in German imprints

国立国会図書館所蔵科学技術関係欧文会議錄目錄

Author: 国立国会図書館 (Japan),国立国会図書館 (Japan). 参考書誌部. 科学技術課

Publisher: N.A

ISBN: N.A

Category: Science

Page: N.A

View: 8225

Posted in Science

Reviews in Number Theory, 1984-96

As Printed in Mathematical Reviews

Author: N.A

Publisher: Amer Mathematical Society

ISBN: 9780821809372

Category: Mathematics

Page: 1012

View: 9452

These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews between 1984 and 1996. This is the third such set of volumes in number theory. The first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.
Posted in Mathematics

Analysis II

Author: Christiane Tretter

Publisher: Springer-Verlag

ISBN: 3034804768

Category: Mathematics

Page: 149

View: 3102

Das Lehrbuch ist der zweite von zwei einführenden Bänden in die Analysis. Es zeichnet sich dadurch aus, dass alle Themen der Analysis 2 kompakt zusammengefasst sind und dennoch auf typische Schwierigkeiten eingegangen wird. Beginnend mit der Topologie metrischer Räume über die Differentialrechnung von Funktionen mehrerer reeller Variablen bis zu gewöhnlichen Differentialgleichungen und Fourierreihen, enthält das Buch alle prüfungsrelevanten Inhalte. Der Stoff kann anhand von Beispielen, Gegenbeispielen und Aufgaben nachvollzogen werden.
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Geometrische Methoden in der Invariantentheorie

Author: Hanspeter Kraft

Publisher: Springer-Verlag

ISBN: 3663101436

Category: Technology & Engineering

Page: 308

View: 6050

In dieser Einführung geht es vor allem um die geometrischen Aspekte der Invariantentheorie. Die hauptsächliche Motivation bildet das Studium von Klassifikations- und Normalformenproblemen, die auch historisch der Ausgangspunkt für invariantentheoretische Untersuchungen waren.
Posted in Technology & Engineering

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 6904

Posted in Mathematics

Storia della scienza

Author: Sandro Petruccioli

Publisher: N.A

ISBN: N.A

Category: Encyclopedias and dictionaries

Page: N.A

View: 9955

Posted in Encyclopedias and dictionaries

Zahlentheorie

Algebraische Zahlen und Funktionen

Author: Helmut Koch

Publisher: Springer-Verlag

ISBN: 3322803120

Category: Mathematics

Page: 344

View: 1381

Hauptziel des Buches ist die Vermittlung des Grundbestandes der Algebraischen Zahlentheorie einschließlich der Theorie der normalen Erweiterungen bis hin zu einem Ausblick auf die Klassenkörpertheorie. Gleichberechtigt mit algebraischen Zahlen werden auch algebraische Funktionen behandelt. Dies geschieht einerseits um die Analogie zwischen Zahl- und Funktionenkörpern aufzuzeigen, die besonders deutlich im Falle eines endlichen Konstantenkörpers ist. Andererseits erhält man auf diese Weise eine Einführung in die Theorie der "höheren Kongruenzen" als eines wesentlichen Bestandteils der "Arithmetischen Geometrie". Obgleich das Buch hauptsächlich algebraischen Methoden gewidmet ist, findet man in der Einleitung auch einen kurzen Beweis des Primzahlsatzes nach Newman. In den Kapiteln 7 und 8 wird die Theorie der Heckeschen L-Reihen behandelt einschließlich der Verteilung der Primideale algebraischer Zahlkörper in Kegeln.
Posted in Mathematics

Mathematische Edelsteine

der elementaren Kombinatorik, Zahlentheorie und Geometrie

Author: Ross Honsberger

Publisher: Springer-Verlag

ISBN: 3322859304

Category: Mathematics

Page: 179

View: 4998

Posted in Mathematics