birkhäuser basel birkhäuser basel apr 2001 (12 Ergebnisse)

Taschenbuch. Zustand: Neu. Neuware -Nahezu alle Lebensbereiche sind von dem Bestreben durchdrungen, bestmoglich zu handeln und zu entscheiden. Diese Intention lasst sich auch tibertragen aufdie Absicht, angestrebte Ziele oder Wirkungen mit geringstmoglichem Aufwand zu erreichen, also moglichst effektiv zu handeln. InjedemFall soll eine ZielgroJ3e sogut wie moglich gestaltet werden, wahrend bestimmte Nebenbedingungen einzuhalten sind. Der Mathematik und den Mathematikern gibt diese Erkenntnis die Anregung, tiber Optimierungsprobleme nachzudenken. Dabei ist die Grundlage eine quanti fizierende Modellierung der Entscheidungs- und Aktionsmoglichkeiten, die zur Verftigung stehen. In dieses Modell mtissen weiter die Auswirkungen der Ent scheidungen auf die ZielgroJ3e und auf die Einhaltung der Nebenbedingungen ein gehen. Auf diese Weise muss es rechnerisch moglich werden, jeweils den Wert der ZielgroJ3e zu messen und tiber die ZugehOrigkeit zum Bereich der zulassigen Losungsvorschlage zu entscheiden. 1st diese Modellierung gelungen, dann ist es ei ne weitere Aufgabe der Mathematik, Rechenverfahren zu entwickeln, die nun den besten der zulassigen Vorschlage ausfindig machen. Dabei steht zunachst einmal die Exaktheit der Losung im Vordergrund. Allerdings muss dieser Wunsch in vie len Bereichen abgewogen werden mit dem Ziel, in moglichst kurzer Rechenzeit ein Ergebnis zu erhalten. Viele Probleme konnten in endlicher Zeit erschOpfend behan delt werden, jedoch wtirde das oft einen nicht mehr vertretbaren Rechenaufwand auslosen. Deshalb befasst sich die Mathematik der Optimierung und des Opera tions Research auch mit der Komplexitat der auftretenden Probleme und der Zur Losung eingesetzten Algorithmen.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 644 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions based on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 92 pp. Englisch.

Buch. Zustand: Neu. Neuware -Philanthropies funded by the Rockefeller family have been prominent in the social history of the twentieth century for their involvement in medicine and applied science. This book provides the first detailed study of their relatively brief but nonetheless influential foray into the field of mathematics. The careers of a generation of pathbreakers in modern mathematics, such as S.Banach, B.L.van der Waerden and André Weil, were decisively affected by their becoming fellows of the Rockefeller-funded International Education Board in the 1920s. To help promote cooperation between physics and mathematics Rockefeller funds supported the erection of the new Mathematical Institute in Göttingen between 1926 and 1929, while the rise of probability and mathematical statistics owes much to the creation of the Institut Henri Poincaré in Paris by American philanthropy at about the same time. This account draws upon the documented evaluation processes behind these personal and institutional involvements of philanthropies. It not only sheds light on important events in the history of mathematics and physics of the 20th century but also analyzes the comparative developments of mathematics in Europe and the United States. Several of the documents are given in their entirety as significant witnesses to the gradual shift of the centre of world mathematics to the USA. This shift was strengthened by the Nazi purge of German and European mathematics after 1933 to which the Rockefeller Foundation reacted with emergency programs that subsequently contributed to the American war effort. The general historical and political background of the events discussed in this book is the mixture of competition and cooperation between the various European countries and the USA after World War I, and the consequences of the Nazi dictatorship after 1933. Ideological positions of both the philanthropists and mathematicians mattered heavily in that process. Cultural bias in the selection of fellowsand of disciplines supported, and the economic predominance of American philanthropy, led among other things to a restriction of the programs to Europe and America, to an uneven consideration of European candidates, and to preferences for Americans. Political self-isolation of the Soviet Union contributed to an increasing alienation of that important mathematical culture from Western mathematics. By focussing on a number of national cultures the investigation aims to represent a step toward a true inter-cultural comparison in mathematics. 364 pp. Englisch.

Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Nahezu alle Lebensbereiche sind von dem Bestreben durchdrungen, bestmoglich zu handeln und zu entscheiden. Diese Intention lasst sich auch tibertragen aufdie Absicht, angestrebte Ziele oder Wirkungen mit geringstmoglichem Aufwand zu erreichen, also moglichst effektiv zu handeln. InjedemFall soll eine ZielgroJ3e sogut wie moglich gestaltet werden, wahrend bestimmte Nebenbedingungen einzuhalten sind. Der Mathematik und den Mathematikern gibt diese Erkenntnis die Anregung, tiber Optimierungsprobleme nachzudenken. Dabei ist die Grundlage eine quanti fizierende Modellierung der Entscheidungs- und Aktionsmoglichkeiten, die zur Verftigung stehen. In dieses Modell mtissen weiter die Auswirkungen der Ent scheidungen auf die ZielgroJ3e und auf die Einhaltung der Nebenbedingungen ein gehen. Auf diese Weise muss es rechnerisch moglich werden, jeweils den Wert der ZielgroJ3e zu messen und tiber die ZugehOrigkeit zum Bereich der zulassigen Losungsvorschlage zu entscheiden. 1st diese Modellierung gelungen, dann ist es ei ne weitere Aufgabe der Mathematik, Rechenverfahren zu entwickeln, die nun den besten der zulassigen Vorschlage ausfindig machen. Dabei steht zunachst einmal die Exaktheit der Losung im Vordergrund. Allerdings muss dieser Wunsch in vie len Bereichen abgewogen werden mit dem Ziel, in moglichst kurzer Rechenzeit ein Ergebnis zu erhalten. Viele Probleme konnten in endlicher Zeit erschOpfend behan delt werden, jedoch wtirde das oft einen nicht mehr vertretbaren Rechenaufwand auslosen. Deshalb befasst sich die Mathematik der Optimierung und des Opera tions Research auch mit der Komplexitat der auftretenden Probleme und der Zur Losung eingesetzten Algorithmen. 644 pp. Deutsch.

Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions based on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. 82 pp. Englisch.

Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well. For example, the classical Lie Theorem asserts that all finite-dimensional irreducible representations of solvable Lie algebras are one-dimensional. Hence, from this point of view, the solvable Lie algebras cannot be distinguished from one another, that is, they cannot be classified. Even this example alone urges the infinite-dimensional vector spaces to appear on the stage. But the structure of linear maps on such a space is too little understood; for these linear maps one cannot speak about something like the Jordan canonical structure of matrices. Fortunately there exists a large class of linear maps on vector spaces of arbi trary dimension, having some common features with the matrices. We mean the bounded linear operators on a complex Banach space. Certain types of bounded operators (such as the Dunford spectral, Foia decomposable, scalar generalized or Colojoara spectral generalized operators) actually even enjoy a kind of Jordan decomposition theorem. One of the aims of the present book is to expound the most important results obtained until now by using bounded operators in the study of Lie algebras.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 236 pp. Englisch.

Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In September 1996, the United Nations General Assembly adopted the Comprehensive Nuclear-Test-Ban Treaty (CTBT), prohibiting nuclear explosions worldwide, in all environments. The treaty calls for a global verification system, including a network of 321 monitoring stations distributed around the globe, a data communications network, an international data centre (IDC), and on-site inspections, to verify compliance. This volume contains research papers focusing on seismic ecent location in the CTBT context. The on-site inspection protocol of the treaty specifies a search area not to exceed 1000 square km. Much of the current research effort is therefore directed towards refining the accuracy of event location by including allowances for three-dimensional structure within the Earth. The aim is that the true location of each event will lie within the specified source zone regarding postulated location. The papers in this volume cover many aspects of seismic event location, including the development of algorithms suitable for use with three-dimensional models, allowances for regional structure, use of calibration events and source-specific station corrections. They provide a broad overview of the current international effort to improve seismic event location accuracy, and the editors hope that it will stimulate increased interest and further advances in this important field. 420 pp. Englisch.

Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Philanthropies funded by the Rockefeller family have been prominent in the social history of the twentieth century for their involvement in medicine and applied science. This book provides the first detailed study of their relatively brief but nonetheless influential foray into the field of mathematics. The careers of a generation of pathbreakers in modern mathematics, such as S.Banach, B.L.van der Waerden and André Weil, were decisively affected by their becoming fellows of the Rockefeller-funded International Education Board in the 1920s. To help promote cooperation between physics and mathematics Rockefeller funds supported the erection of the new Mathematical Institute in Göttingen between 1926 and 1929, while the rise of probability and mathematical statistics owes much to the creation of the Institut Henri Poincaré in Paris by American philanthropy at about the same time. This account draws upon the documented evaluation processes behind these personal and institutional involvements of philanthropies. It not only sheds light on important events in the history of mathematics and physics of the 20th century but also analyzes the comparative developments of mathematics in Europe and the United States. Several of the documents are given in their entirety as significant witnesses to the gradual shift of the centre of world mathematics to the USA. This shift was strengthened by the Nazi purge of German and European mathematics after 1933 to which the Rockefeller Foundation reacted with emergency programs that subsequently contributed to the American war effort. The general historical and political background of the events discussed in this book is the mixture of competition and cooperation between the various European countries and the USA after World War I, and the consequences of the Nazi dictatorship after 1933. Ideological positions of both the philanthropists and mathematicians mattered heavily in that process. Cultural bias in the selection of fellowsand of disciplines supported, and the economic predominance of American philanthropy, led among other things to a restriction of the programs to Europe and America, to an uneven consideration of European candidates, and to preferences for Americans. Political self-isolation of the Soviet Union contributed to an increasing alienation of that important mathematical culture from Western mathematics. By focussing on a number of national cultures the investigation aims to represent a step toward a true inter-cultural comparison in mathematics. 341 pp. Englisch.

Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In September 1996, the United Nations General Assembly adopted the Comprehensive Nuclear-Test-Ban Treaty (CTBT), prohibiting nuclear explosions worldwide, in all environments. The treaty calls for a global verification system, including a network of 321 monitoring stations distributed around the globe, a data communications network, an international data centre (IDC), and on-site inspections, to verify compliance. This volume contains research papers focusing on seismic ecent location in the CTBT context. The on-site inspection protocol of the treaty specifies a search area not to exceed 1000 square km. Much of the current research effort is therefore directed towards refining the accuracy of event location by including allowances for three-dimensional structure within the Earth. The aim is that the true location of each event will lie within the specified source zone regarding postulated location. The papers in this volume cover many aspects of seismic event location, including the development of algorithms suitable for use with three-dimensional models, allowances for regional structure, use of calibration events and source-specific station corrections. They provide a broad overview of the current international effort to improve seismic event location accuracy, and the editors hope that it will stimulate increased interest and further advances in this important field.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 428 pp. Englisch.

Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well. For example, the classical Lie Theorem asserts that all finite-dimensional irreducible representations of solvable Lie algebras are one-dimensional. Hence, from this point of view, the solvable Lie algebras cannot be distinguished from one another, that is, they cannot be classified. Even this example alone urges the infinite-dimensional vector spaces to appear on the stage. But the structure of linear maps on such a space is too little understood; for these linear maps one cannot speak about something like the Jordan canonical structure of matrices. Fortunately there exists a large class of linear maps on vector spaces of arbi trary dimension, having some common features with the matrices. We mean the bounded linear operators on a complex Banach space. Certain types of bounded operators (such as the Dunford spectral, Foiadecomposable, scalar generalized or Colojoara spectral generalized operators) actually even enjoy a kind of Jordan decomposition theorem. One of the aims of the present book is to expound the most important results obtained until now by using bounded operators in the study of Lie algebras. 219 pp. Englisch.

Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In the last ten years, major strides have been made in defining thepresence and role of inflammation in atherosclerosis as well as ininjury to the tissues that occurs after episodes of ischemia andreperfusion. In sixteen chapters, written by world-renowned individualsfrom different countries, the role of inflammation and differentmediators in the pathogenesis of atherosclerosis is presented. Thesignificance of inflammation and possible therapeutic implications isalso described in depth.This book is of great interest for a wide range of physiciansresearchers, and scientists who may want to study more and develop theconcept of inflammation and atherosclerosis. 280 pp. Englisch.

Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In the last ten years, major strides have been made in defining thepresence and role of inflammation in atherosclerosis as well as ininjury to the tissues that occurs after episodes of ischemia andreperfusion. In sixteen chapters, written by world-renowned individualsfrom different countries, the role of inflammation and differentmediators in the pathogenesis of atherosclerosis is presented. Thesignificance of inflammation and possible therapeutic implications isalso described in depth.This book is of great interest for a wide range of physicians,researchers, and scientists who may want to study more and develop theconcept of inflammation and atherosclerosis. 263 pp. Englisch.