Product Description: Classical algebraic geometry, inseparably connected with the names of Abel, Riemann, Weierstrass, Poincaré, Clebsch, Jacobi and other outstanding mathematicians of the last century, was mainly an analytical theory. In our century the methods and ideas of topology, commutative algebra and Grothendieck's schemes enriched it and seemed to have replaced once and forever the somewhat naive language of classical algebraic geometry...read more (view table of contents, read Amazon.com's description)

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Product Description: If Michael Jackson could continue in this world as a spirit, what would he do? The Afterlife of Michael Jackson answers this question. Would he be a saintly miracle worker for his fans or want revenge against those that killed him or both? Would he be an ally of his dear friend Elizabeth Taylor? These questions are answered in this heart throbbing short story which will later be continued in a full length novel...read more

Product Description: Maps display locations of all treasures, encounters and special itemsAll shop locations and offeringsWalkthroughs to help you discover the secret of Aidyn's First MageThe story behink each playable characterTables for items, potions, spells, skills, weapons, enemies, and moreHundreds of hidden treasure locationsDetailed lists of every enemy and their weaknesse...read more (view table of contents, read Amazon.com's description)

This is an expanded edition of a popular textbook that provides a purely algebraic, self-contained and in-depth exposition of the theory of function fields. It contains numerous exercises, some fairly simple, some quite difficult.

Product Description: This is a translation of Iwasawa's 1973 book, Theory of Algebraic Functions originally published in Japanese. Because the book treats mainly the classical part of the theory of algebraic functions, emphasizing analytic methods, it provides an excellent introduction to the subject from the classical viewpoint...read more

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Product Description: This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number...read more

Product Description: Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner...read more

Product Description: Motivated by questions about which functions could be represented by Dirichlet series, Harald Bohr founded the theory of almost periodic functions in the 1920s. This beautiful exposition begins with a discussion of periodic functions before addressing the almost periodic case...read more

Product Description: Motivated by questions about which functions could be represented by Dirichlet series, Harald Bohr founded the theory of almost periodic functions in the 1920s. This beautiful exposition begins with a discussion of periodic functions before addressing the almost periodic case...read more

Wie schon der erste, enthait auch dieser zweite Band wesentlich mehr Stoff, als in einer einsemestrigen Vorlesung behandelt werden kann. Wir hoffen, dadurch den Leser anzuregen, im Selbststudium weiter in die Mathem~tik einzudringen und vie.-. Ie schone und tiefgriindige Anwend ungen der Analysis kennfmzulernen und groJ3ere Zusammenhange zu erfahren. Dem Dozenten mochten wir geeignetes Material fiir Proseminare und Seminare zur Verfiigung stellen. Fiir einen Uberblick iiber den dargebotenen Stoff verweisen wir auf das aus­ fiihrliche Inhaltsverzeichnis sowie auf die Einleitungen zu den einzelnen Kapiteln. Hervorheben mochten wir die zahlreichen Ubungsaufgaben, deren Bearbeitung fUr das Verstandnis der Materie unabdingbar ist. Dariiber hinaus haben wir viele niitzliche Erganzungen und Abrundungen des im Haupttext behandelten Materials in den Aufgabenteil verlegt. Auch beim Schreiben dieses Bandes konnten wir uns auf die Hilfe Ande­ rer verlassen. Ganz besonders danken wir unseren Freunden und Kollegen Pavol Quittner und Gieri Simonett. Sie haben nicht nur groJ3e Teile des Manuskripts sorgfaitig gelesen und uns geholfen, Fehler auszumerzen, sondern durch ihre wert­ vollen Verbesserungsvorschlage wesentlich zur endgiiltigen Darstellung beigetra­ gen. Zu groJ3em Dank sind wir auch unseren Mitarbeitern Georg Prokert, Frank Weber und Bea Wollenmann verpflichtet fiir die sehr genaue Lektiire des gesamten Manuskripts und das Aufspiiren von Druckfehlern und Ungenauigkeiten. Unser allerherzlichster Dank gilt wieder unserem "Satzperfektionisten", ohne l dessen unermiidliche Arbeit dieses Buch nie in der vorliegenden perfekten Gestalt zustandegekommen ware, sowie Andreas, der uns wieder bei Hard-und Software­ Problemen zur Seite stand.

Product Description: Analytic Extension is a mysteriously beautiful property of analytic functions. With this point of view in mind the related survey papers were gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, several complex variables, scattering theory, sampling theory, and analytic number theory, to name a few...read more (view table of contents, read Amazon.com's description)

Product Description: This book treats spherical harmonic expansion of real analytic functions and hyperfunctions on the sphere. Because a one-dimensional sphere is a circle, the simplest example of the theory is that of Fourier series of periodic functions...read more

Product Description: The year 1992 marks the centennial anniversary of publication of the celebrated monograph "The General Problem of Stability of Motion" written by A. M. Liapunov. This anniversary inspires to think about the way theory and applications have developed during this century...read more

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Product Description: Generalized functions are now widely recognized as important mathematical tools for engineers and physicists. But they are considered to be inaccessible for non-specialists. To remedy this situation, this book gives an intelligible exposition of generalized functions based on Sato's hyperfunction, which is essentially the `boundary value of analytic functions'...read more

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Product Description: This systematic and comprehensive account of asymptotic sets and functions develops a broad and useful theory in the areas of optimization and variational inequalities. The central focus is on problems of handling unbounded situations, using solutions of a given problem in these classes, when for example standard compacity hypothesis is not present...read more