birkhäuser boston birkhäuser boston nov 2011 (10 Ergebnisse)

Taschenbuch. Zustand: Neu. Neuware -This collection contains all my published papers, both research and expository, that were published from 1934 to 1988. The research papers arranged in chronological order appear in Volume I and II and in the first part of Volume III. The expository papers, which are mainly reports presented at conferences, appear in chronological order in the last part of Volume III. Volume I covers the period 1910 to 1947, the year I moved to Yale, Volume II covers the period 1947 to 1965 when I became Chairman of the Department at Yale and Volume III covers the period from 1965 to 1989, which goes beyond my assumption of an emeritus status in 1981. I have divided the time interval covered in each volume into subintervals preceded by an account of my personal history during this period, and a commentary on the research papers published in the period. I have omitted commentaries on the expository papers and have sorted out the commentaries on the research papers according to the principal fields of my research. The personal history has been based on my recollections, checked against written documentation in my file of letters as well as diaries. One of these was a diary I kept of my trip to the USSR in 1961; the others were diaries Florie (Florence) kept during other major visits abroad. I have also consulted Professor A. W. Tucker on historical details on Princeton during the 1930's.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 580 pp. Englisch.

Buch. Zustand: Neu. Neuware -The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the advanced undergraduate level. The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually.Each new concept is presented with a naturalpicture that students can easily grasp; algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions.The second edition includes a completely new chapter on differential geometry, as well as other new sections, new exercises and new examples. Additional solutions to selected exercises have also been included. The work is suitable for use as the primary textbook for a sophomore-level class in vector calculus, as well as for more upper-level courses in differential topology and differential geometry.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 172 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -From the original hard cover edition:In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large numbers into their primes. Thus an ancient number-theory concept now plays a crucial role in communication among millions of people who may have little or no knowledge of even elementary mathematics.Hans Riesel¿s highly successful first edition of this book has now been enlarged and updated with the goal of satisfying the needs of researchers, students, practitioners of cryptography, and non-scientific readers with a mathematical inclination. It includes important advances in computational prime number theory and in factorization as well as re-computed and enlarged tables, accompanied by new tables reflecting current research by both the author and his coworkers and by independent researchers.The book treats four fundamental problems: the number of primes below a given limit, the approximate number of primes, the recognition of primes and the factorization of large numbers. The author provides explicit algorithms and computer programs, and has attempted to discuss as many of the classically important results as possible, as well as the most recent discoveries. The programs include are written in PASCAL to allow readers to translate the programs into the language of their own computers.The independent structure of each chapter of the book makes it highly readable for a wide variety of mathematicians, students of applied number theory, and others interested in both study and research in number theory and cryptography. ¿Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 484 pp. Englisch.

Buch. Zustand: Neu. Neuware -Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration theory.The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domains, and differential forms, particularly k-forms. The exposition continues with an introduction to the calculus of variations with applications to geometric optics and mechanics.The authorsconclude with the study of measure and integration theory ¿ Borel, Radon, and Hausdorff measures and the derivation of measures. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis.This work may be used as a supplementary text in the classroom or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. One of the key strengths of this presentation, along with the other four books on analysis published by the authors, is the motivation for understanding the subject through examples, observations, exercises, and illustrations.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 420 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Die Arbeit an den drei Banden dieses Worterbuches wurde 1932 in London begonnen und ist in standiger Fortsetzung auf denjetzt vorliegenden Stand gebracht worden. In seinem Aufbau und in der besonderen An ordnung des Stoffes erstrebt das Werk, einem doppelten Zweck zu dienen: Besonders leichtes und schnelles Auffinden eines Stichwortes in moglichst vielen 'fertig vorbereite ten' Verbindungen und moglichst wirksamer AusschluJ3 von Obersetzungsfehlern, besonders wenn zwischen mehrfachen Be deutungen desselben Stichwortes gewiihlt werden muJ3. 1m Verfolg dieser Ziele ist das Werk im wahrsten Sinne aus der Praxis entstanden. Dementsprechend ist es auch fUr die Praxis als Nachschlagewerk ffir den Alltagsgebrauch bestimmt. An seiner Schaffung haben Men schen des Berufs- und Geschilfts1ebens mit praktischen Erfahrungen mitgewirkt. Der Entwicklung der drei Sprachen folgend, wurde der Text durch Aufnahme neuer Fachausdriicke und Wendungen bedeutend erweitert und auf den neuesten Stand gebracht. Hierbei wurden auch die im Bereich der internationalen Organisationen - insbesondere der Europlischen Gemeinschaften - entwickelten und ge brauchlichen Ausdriicke und Begriffe miteinbezogen. Zug, Schweiz, Januar 1979.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 1140 pp. Englisch.

Buch. Zustand: Neu. Neuware -The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volume set presents these topics in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena.Volume 2 builds on the fundamentals presented in Volume 1, delving deeper into relationshipsamong stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statistical analysis, and error propagation on Lie groups. Extensive exercises, motivating examples, and real-world applicationsmake the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 464 pp. Englisch.

Buch. Zustand: Neu. Neuware -An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables. The problem is therefore to find a map ¿ so that it satisfies the pullback equation: ¿\*(g) = f.In more physical terms, the question under consideration can be seen as a problem of mass transportation. The problem has received considerable attention in the cases k = 2 and k = n, but much less when 3 ¿ k ¿ n¿1. The present monograph provides thefirst comprehensive study of the equation.The work begins by recounting various properties of exterior forms and differential forms that prove useful throughout the book. From there it goes on to present the classical Hodge¿Morrey decomposition and to give several versions of the Poincaré lemma. The core of the book discusses the case k = n, and then the case 1¿ k ¿ n¿1 with special attention on the case k = 2, which is fundamental in symplectic geometry. Special emphasis is given to optimal regularity, global results and boundary data. The last part of the work discusses Hölder spaces in detail; all the results presented here are essentially classical, but cannot be found in a single book. This section may serve as a reference on Hölder spaces and therefore will be useful to mathematicians well beyond those who are only interested in the pullback equation.The Pullback Equation for Differential Forms is a self-contained and concise monograph intended for both geometers and analysts. The book may serveas a valuable reference for researchers or a supplemental text for graduate courses or seminars.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 448 pp. Englisch.

Buch. Zustand: Neu. Neuware -Both refining and extending previous publications by the authors, the material in thismonograph has been class-tested in mathematical institutions throughout the world. Covering some of the key areas of optimal control theory (OCT)¿a rapidly expanding field that has developed to analyze the optimal behavior of a constrained process over time¿the authors use new methods to set out a version of OCT¿s more refined¿maximum principle¿ designed to solve the problem of constructing optimal control strategies for uncertain systems where some parameters are unknown. Known as a ¿min-max¿ problem, this type of difficulty occurs frequently when dealing with finite uncertain sets.The text begins with a standalone section that reviews classical optimal control theory. Moving on to examine the tent method in detail, the book thenpresents its core material, which is a more robust maximum principle for both deterministic and stochastic systems. The results obtainedhave applicationsin production planning, reinsurance-dividend management, multi-model sliding mode control, and multi-model differential games.Using powerful new tools in optimal control theory, this book explores material that will be of great interest to post-graduate students, researchers, and practitioners in applied mathematics and engineering, particularly in the area of systems and control.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 456 pp. Englisch.

Buch. Zustand: Neu. Neuware -This revised and expanded second edition is an in-depth study of the change point problem from a general point of view, as well asa further examination of change point analysis of the most commonly used statistical models. Change point problems are encountered in such disciplines as economics, finance, medicine, psychology, signal processing, and geology, to mention only several. Morerecently, change point analysis has been foundin extensive applicationsrelated toanalyzing biomedical imaging data, array Comparative Genomic Hybridization (aCGH) data, and gene expression data.The exposition throughout the workis clear and systematic, with a great deal of introductory material included. Different models are presented in each chapter, including gamma and exponential models, rarely examined thus far in the literature.Extensive examples throughout the text emphasize key concepts and different methodologies used, namely the likelihood ratio criterion as well asthe Bayesian and information criterion approaches. New examples of change point analysis in modern molecular biology and other fieldssuch as finance and air traffic controlare added in this second edition.Also included are two new chapters on change points in the hazard function and other practical change point models such as the epidemic change point model and a smooth-and-abrupt change point model. An up-to-date comprehensive bibliography and two indices round out the work.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 288 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This generalization of geometry is bound to have wide spread repercussions for mathematics as well as physics. The unearthing of it will entail a new golden age in the interaction of mathematics and physics. E. Witten (1986) The idea that the moduli space Mg of curves of fixed genus 9 - that is, the algebraic variety that parametrizes all curves of genus 9 - is an intriguing object in its own right seems to have come slowly. Although the para meters or moduli of curves surface in Riemann's famous memoir on abelian functions (from 1857) and in work of Hurwitz and later were considered by the geometers of the Italian school, for a long time they attracted attention only in the special case 9 = 1, where they were studied in the framework of the theory of modular functions. The work of Grothendieck, who in the early sixties pointed the way towards the right approach, and the subsequent construction (in 1965) of the moduli space Mg by Mumford were the first foundational work, to be followed by the construction of a compactification Mg by Deligne and Mumford in 1969. The theorem of Harris and Mumford saying that for 9 sufficiently large the space Mg is of general type was the first big insight in its structure.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 580 pp. Englisch.