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Algebraic Cycles And Motives

Author: Jan Nagel
Publisher: Cambridge University Press
ISBN: 0521701740
Size: 28.92 MB
Format: PDF, ePub
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This 2007 book is a self-contained account of the subject of algebraic cycles and motives.

The Technique Of Pseudodifferential Operators

Author: H. O. Cordes
Publisher: Cambridge University Press
ISBN: 9780521378642
Size: 62.75 MB
Format: PDF, Mobi
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Pseudodifferential operators arise naturally in a solution of boundary problems for partial differential equations. The formalism of these operators serves to make the Fourier-Laplace method applicable for nonconstant coefficient equations. This book presents the technique of pseudodifferential operators and its applications, especially to the Dirac theory of quantum mechanics. The treatment uses 'Leibniz formulas' with integral remainders or as asymptotic series. While a pseudodifferential operator is commonly defined by an integral formula, it also may be described by invariance under action of a Lie group. The author discusses connections to the theory of C*-algebras, invariant algebras of pseudodifferential operators under hyperbolic evolution, and the relation of the hyperbolic theory to the propagation of maximal ideals. The Technique of Pseudodifferential Operators will be of particular interest to researchers in partial differential equations and mathematical physics.

Number Theory

Author: Seminaire De Theorie Des Nombres De Paris (1993-1994)
Publisher: Cambridge University Press
ISBN: 9780521585491
Size: 10.41 MB
Format: PDF, ePub
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This book covers the whole spectrum of number theory, and is composed of contributions from some of the best specialists worldwide.

Squares

Author: A. R. Rajwade
Publisher: Cambridge University Press
ISBN: 9780521426688
Size: 73.56 MB
Format: PDF, Kindle
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Many classical and modern results and quadratic forms are brought together in this book. The treatment is self-contained and of a totally elementary nature requiring only a basic knowledge of rings, fields, polynomials, and matrices, such that the works of Pfister, Hilbert, Hurwitz and others are easily accessible to non-experts and undergraduates alike. The author deals with many different approaches to the study of squares; from the classical works of the late 19th century, to areas of current research. Anyone with an interest in algebra or number theory will find this a most fascinating volume.