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#### Serre's Problem on Projective Modules

Springer Berlin Heidelberg 2010; US$ 83.93?Serre?s Conjecture?, for the most part of the second half of the 20th century, - ferred to the famous statement made by J. -P. Serre in 1955, to the effect that one did not know if ?nitely generated projective modules were free over a polynomial ring k[x ,. . . ,x], where k is a ?eld. This statement was motivated by the fact that 1 n the af?ne scheme... more...

#### From Fourier Analysis and Number Theory to Radon Transforms and Geometry

Springer New York 2012; US$ 145.48???A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis?s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics,... more...

#### Six Short Chapters on Automorphic Forms and L-functions

Springer Berlin Heidelberg 2012; US$ 83.93This treatment of the period conjectures of Shimura and the moment conjecture covers two little-discussed, yet vital topics in number theory. It also provides a guide to the frontiers of research on these themes, as well as an overview of relevant literature. more...

#### A Survey of Trace Forms of Algebraic Number Fields

World Scientific Publishing Company 1984; US$ 39.00 US$ 35.49Every finite separable field extension F/K carries a canonical inner product, given by trace(xy). This symmetric K-bilinear form is the trace form of F/K.When F is an algebraic number field and K is the field Q of rational numbers, the trace form goes back at least 100 years to Hermite and Sylvester. These notes present the first systematic treatment... more...

#### Ring Theory, 83

Elsevier Science 2012; US$ 72.95This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers:**"As a textbook for graduate students, Ring Theory joins the best....The experts will... more...

#### Algebra

De Gruyter 2013; US$ 56.00Dieses Lehrbuch bietet eine Einführung in die grundlegenden Methoden der Galoistheorie. Am Beispiel der Auflösbarkeit von Polynomgleichungen durch Radikale wird das Zusammenwirken dreier Theorien ? Gruppentheorie, Körpertheorie und Ringtheorie ? zur Lösung dieses Problems demonstriert. Behandelt werden neben den üblichen Grundbegriffen... more...

#### Lectures on the Asymptotic Theory of Ideals

Cambridge University Press 1988; US$ 64.00In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general... more...

#### Algorithmic Algebraic Number Theory

Cambridge University Press 1997; US$ 100.00Classic book, addressed to all lovers of number theory. more...

#### Finite Fields

Cambridge University Press 1996; US$ 112.00This book is devoted entirely to the theory of finite fields. more...

#### Continuous and Discrete Modules

Cambridge University Press 1990; US$ 56.00This book will be useful either to individuals beginning research, or the more experienced worker in algebra and representation theory. more...