Lectures on Fourier Integrals. (AM-42)

Author: Salomon Bochner

Publisher: Princeton University Press

ISBN: 1400881994

Category: Mathematics

Page: 333

View: 6458

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The book description for the forthcoming "Lectures on Fourier Integrals. (AM-42)" is not yet available.

Resolution of Curve and Surface Singularities in Characteristic Zero

In Characteristic Zero

Author: K. Kiyek,José Luis Vicente Córdoba,J.L. Vicente

Publisher: Springer Science & Business Media

ISBN: 9781402020285

Category: Mathematics

Page: 483

View: 3263

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This book covers the beautiful theory of resolutions of surface singularities in characteristic zero. The primary goal is to present in detail, and for the first time in one volume, two proofs for the existence of such resolutions. One construction was introduced by H.W.E. Jung, and another is due to O. Zariski. Jung's approach uses quasi-ordinary singularities and an explicit study of specific surfaces in affine three-space. In particular, a new proof of the Jung-Abhyankar theorem is given via ramification theory. Zariski's method, as presented, involves repeated normalisation and blowing up points. It also uses the uniformization of zero-dimensional valuations of function fields in two variables, for which a complete proof is given. Despite the intention to serve graduate students and researchers of Commutative Algebra and Algebraic Geometry, a basic knowledge on these topics is necessary only. This is obtained by a thorough introduction of the needed algebraic tools in the two appendices.

Resolution of Singularities

Author: Steven Dale Cutkosky

Publisher: American Mathematical Soc.

ISBN: 0821835556

Category: Mathematics

Page: 186

View: 8017

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The notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic mappings is truly a fundamental problem. It has a complete solution in characteristic zero and partial solutions in arbitrary characteristic. The resolution of singularities in characteristic zero is a key result used in many subjects besides algebraic geometry, such as differential equations, dynamical systems, number theory, the theory of $\mathcal{D}$-modules, topology, and mathematical physics. This book is a rigorous, but instructional, look at resolutions. A simplified proof, based on canonical resolutions, is given for characteristic zero. There are several proofs given for resolution of curves and surfaces in characteristic zero and arbitrary characteristic. Besides explaining the tools needed for understanding resolutions, Cutkosky explains the history and ideas, providing valuable insight and intuition for the novice (or expert). There are many examples and exercises throughout the text. The book is suitable for a second course on an exciting topic in algebraic geometry. A core course on resolutions is contained in Chapters 2 through 6. Additional topics are covered in the final chapters. The prerequisite is a course covering the basic notions of schemes and sheaves.

Books in Print

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 1798

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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

Festschrift zur Gedächtnisfeier für Karl Weierstraß 1815–1965

Author: Heinrich Behnke,Klaus Kopfernann

Publisher: Springer-Verlag

ISBN: 3663162818

Category: Mathematics

Page: 612

View: 2020

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Zu den großen Gestalten, die die Mathematik der zweiten Hälfte des 19. Jahrhunderts geformt haben, gehört Karl Weierstraß. Ihm war ein langes Leben geschenkt (1815-1897), und er hat, obwohl erst spät in eine entsprechende Stelle gekommen, einen großen Kreis von Mathematikern unmittelbar beeinflußt. Heute ist keine Grundvorlesung zur Analysis denk bar, ohne daß sein Name in Verbindung mit fundamentalen Theorien genannt wird. Das rechtfertigt es, daß seiner zum 150. Geburtstag im Kreise von Fachgenossen gedacht wurde. Karl Weierstraß stammt aus Westfalen. Seine mathematische Ausbildung bekam er - soweit er nicht Autodidakt war - vor allem an der theologisch philosophischen Akademie in Münster. Dort wurde auch seine hohe Be gabung erkannt. Das waren die Gründe zu den Weierstraßfeiern, die in Münster und der Landeshauptstadt Düsseldorf veranstaltet wurden. Die Vorträge, die dort gehalten wurden, und die Manuskripte, die bei dieser Gelegenheit eingingen, werden hiermit im Auftrage der Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen veröffentlicht. Dezember 1965 Heinrich Behnke und Klaus Kopfermann Inhalt TEIL I Heinrich Behnke, Münster (Westf.) Karl Weierstraß und seine Schule 13 Kurt-R. Biermann, Berlin Die Berufung von Weierstraß nach Berlin . . . . . . . . . . . . . . . . 41 . . . . . . Otto Frostman, Djursholm b. Stockholm Aus dem Briefwechsel von G. Mittag-Leffler 53 Friedrich Gerhard Hohmann, Paderborn Karl Weierstraß als Schüler des Theodorianischen Gymnasiums zu Paderborn .................................................. 57 Rohert König, München Die ,,100-Jahr-Feier" von Weierstraß' Geburtstag in Münster in Westfalen im Jahre 1925. Ein Rückblick. . . . . . . . . . . . . . . . . 67 . . . . . .

Library Journal

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Libraries

Page: N.A

View: 1368

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Includes, beginning Sept. 15, 1954 (and on the 15th of each month, Sept.-May) a special section: School library journal, ISSN 0000-0035, (called Junior libraries, 1954-May 1961). Also issued separately.