Springer Basel Aug 2012 (13 results)
Language: English
Published by Springer Basel Aug 2012, 2012
Series: Book 2 of 25 - SpringerBriefs in Biochemistry and Molecular Biology
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Biological O 2 sensing probes and measurement techniques were first introduced in the late 80s. In the last 3-5 years they have undergone major development that have made them available and affordable for a broad range of applicatio…ns in various disciplines of the life and biomedical sciences. These new chemistries and technologies, which are significantly different from the majority of other fluorescence-based probes and detection techniques, have already demonstrated their high utility. This book will provide a systematic overview of the existing and emerging O 2 sensing technologies in their different modifications, a practical guide to their rational selection and use, and examples of biological applications/case studies, including details on how to set up and conduct such experiments, troubleshoot and interpret the data. 112 pp. Englisch.
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph is a presentation of a unified approach to a certain class of semimartingale inequalities, which can be regarded as probabilistic extensions of classical estimates for conjugate harmonic functions on the unit disc. The appro…ach, which has its roots in the seminal works of Burkholder in the 80s, enables to deduce a given inequality for semimartingales from the existence of a certain special function with some convex-type properties. Remarkably, an appropriate application of the method leads to the sharp version of the estimate under investigation, which is particularly important for applications. These include the theory of quasiregular mappings (with deep implications to the geometric function theory); the boundedness of two-dimensional Hilbert transform and a more general class of Fourier multipliers; the theory of rank-one convex and quasiconvex functions; and more.The book is divided into a few separate parts. In the introductory chapter we present motivation for the results and relate them to some classical problems in harmonic analysis. The next part contains a general description of the method, which is applied in subsequent chapters to the study of sharp estimates for discrete-time martingales; discrete-time sub- and supermartingales; continuous time processes; the square and maximal functions. Each chapter contains additional bibliographical notes included for reference. 476 pp. Englisch.
Language: English
Published by Springer Basel Aug 2012, 2012
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contribut…ors are first rate mathematicians. This collection of research papers is centred around parametrix constructions and microlocal analysis; asymptotic constructions of solutions; energy and dispersive estimates; and associated spectral transforms. Applications concerning elasticity and general relativity complement the volume. The book gives an overview of a variety of ongoing current research in the field and, therefore, allows researchers as well as students to grasp new aspects and broaden their understanding of the area. 336 pp. Englisch.
Language: English
Published by Springer, Basel, Birkhäuser Basel, Birkhäuser Aug 2012, 2012
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001.Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into on…e of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged.As well as determining the range of possible 'growth types', for finitely generated groups in general and for groups in particular classes such as linear groups, a main focus of the book is on the tight connection between the subgroup growth of a group and its algebraic structure. A wide range of mathematical disciplines play a significant role in this work: as well as various aspects of infinite group theory, these include finite simple groups and permutation groups, profinite groups, arithmetic groups and Strong Approximation, algebraic and analytic number theory, probability, and p-adic model theory. Relevant aspects of such topics are explained in self-contained 'windows'. 454 pp. Englisch.
Language: English
Published by Springer Basel Aug 2012, 2012
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book deals with evolutionary systems whose equation of state can be formulated as a linear Volterra equation in a Banach space. The main feature of the kernels involved is that they consist of unbounded linear operators. The ai…m is a coherent presentation of the state of art of the theory including detailed proofs and its applications to problems from mathematical physics, such as viscoelasticity, heat conduction, and electrodynamics with memory. The importance of evolutionary integral equations - which form a larger class than do evolution equations - stems from such applications and therefore special emphasis is placed on these. A number of models are derived and, by means of the developed theory, discussed thoroughly. An annotated bibliography containing 450 entries increases the book's value as an incisive reference text.---This excellent book presents a general approach to linear evolutionary systems, with an emphasis on infinite-dimensional systems with time delays, such as those occurring in linear viscoelasticity with or without thermal effects. It gives a very natural and mature extension of the usual semigroup approach to a more general class of infinite-dimensional evolutionary systems. This is the first appearance in the form of a monograph of this recently developed theory. A substantial part of the results are due to the author, or are even new. (.) It is not a book that one reads in a few days. Rather, it should be considered as an investment with lasting value.(Zentralblatt MATH)In this book, the author, who has been at the forefront of research on these problems for the last decade, has collected, and in many places extended, the known theory for these equations. In addition, he has provided a framework that allows one to relate and evaluate diverse results in the literature.(Mathematical Reviews)This book constitutes a highly valuable addition to the existing literature on the theory of Volterra (evolutionary) integralequations and their applications in physics and engineering. (.) and for the first time the stress is on the infinite-dimensional case. (SIAM Reviews) 392 pp. Englisch.
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with re…spect to natural properties of (general) translations and general distances of X. Also for these spaces X, it studies the sphere geometries of Möbius and Lie as well as geometries where Lorentz transformations play the key role.Proofs of newer theorems characterizing isometries and Lorentz transformations under mild hypotheses are included, such as for instance infinite dimensional versions of famous theorems of A.D. Alexandrov on Lorentz transformations. A real benefit is the dimension-free approach to important geometrical theories. New to this third edition is a chapter dealing with a simple and great idea of Leibniz that allows us to characterize, for these same spaces X, hyperplanes of euclidean, hyperbolic geometry, or spherical geometry, the geometries of Lorentz-Minkowski and de Sitter, and this through finite or infinite dimensions greater than 1. Another new and fundamental result in this edition concerns the representation of hyperbolic motions, their form and their transformations. Further we show that the geometry (P,G) of segments based on X is isomorphic to the hyperbolic geometry over X. Here P collects all x in X of norm less than one, G is defined to be the group of bijections of P transforming segments of P onto segments.The only prerequisites for reading this book are basic linear algebra and basic 2- and 3-dimensional real geometry. This implies that mathematicians who have not so far been especially interested in geometry could study and understand some of the great ideas of classical geometries in modern and general contexts. 328 pp. Englisch.
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book contains survey papers based on the lectures presented at the 3rd International Winter School 'Modern Problems of Mathematics and Mechanics' held in January 2010 at the Belarusian State University, Minsk. These lectures are devot…ed to different problems of modern analysis and its applications. An extended presentation of modern problems of applied analysis will enable the reader to get familiar with new approaches of mostly interdisciplinary character. The results discussed are application oriented and present new insight into applied problems of growing importance such as applications to composite materials, anomalous diffusion, and fluid dynamics. 264 pp. Englisch.
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book presents the modern state of the art in the mathematical theory of compressible Navier-Stokes equations, with particular emphasis on the applications to aerodynamics. The topics covered include:modeling of compressible viscous flo…ws;modern mathematical theory of nonhomogeneous boundary value problems for viscous gas dynamics equations;applications to optimal shape design in aerodynamics;kinetic theory for equations with oscillating data;new approach to the boundary value problems for transport equations.The monograph offers a comprehensive and self-contained introduction to recent mathematical tools designed to handle the problems arising in the theory. 480 pp. Englisch.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration…and a topic of research to this day. Arising from notes for a course given at the University of Bonn in Germany, 'Plane Algebraic Curves' reflects the authors concern for the student audience through its emphasis on motivation, development of imagination, and understanding of basic ideas. As classical objects, curves may be viewed from many angles. This text also provides a foundation for the comprehension and exploration of modern work on singularities. --- In the first chapter one finds many special curves with very attractive geometric presentations - the wealth of illustrations is a distinctive characteristic of this book - and an introduction to projective geometry (over the complex numbers). In the second chapter one finds a very simple proof of Bezout's theorem and a detailed discussion of cubics. The heart of this book - and how else could it be with the first author - is the chapter on the resolution of singularities (always over the complex numbers). (.) Especially remarkable is the outlook to further work on the topics discussed, with numerous references to the literature. Many examples round off this successful representation of a classical and yet still very much alive subject. (Mathematical Reviews) 732 pp. Englisch.
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Viral infections of the nervous system are important because they are associated with high morbidity and mortality. A variety of pathogenetic mechanisms are involved in these infections and an understanding of the pathogenesis is essential… in understanding the diagnostic and clinical management aspects of the disease. Specialized investigations are often necessary for definitive diagnosis, although a presumptive diagnosis should often be suspected on the basis of the clinical features. Many of the chapters in this book are written by neurologists who are experts in basic science research of their topic in addition to active clinical practice in their specialty. 428 pp. Englisch.
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Viral infections of the nervous system are important because they are associated with high morbidity and mortality. A variety of pathogenetic mechanisms are involved in these infections and an understanding of the pathogenesis is essential in…understanding the diagnostic and clinical management aspects of the disease. Specialized investigations are often necessary for definitive diagnosis, although a presumptive diagnosis should often be suspected on the basis of the clinical features. Many of the chapters in this book are written by neurologists who are experts in basic science research of their topic in addition to active clinical practice in their specialty.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 428 pp. Englisch.
Language: German
Published by Springer, Basel, Birkhäuser Basel, Birkhäuser Aug 2012, 2012
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -InhaltsangabeV. Numerische Methoden zur Lösung Linearer Integralgleichungen.- Einleitende Bemerkungen.- 17. Approximation von Kernen durch ausgeartete Kerne.- 17.1. Approximation von L2( × )- und C( × )-Kernen.- 17.2. Fehlerabschätz…ungen.- 17.3. Kernersatz nach Bateman.- 17.4. Die beste Approximation eines Kernes durch einen ausgearteten Kern.- 18. Iterationsverfahren für Fredholmsche Gleichungen zweiter Art.- 18.1. Die Neumannsche Reihe.- 18.2. Ein allgemeines Iterationsverfahren.- 18.3. Die Verfahren von Wiarda, Bückner und Wagner.- 18.4. Die Methode von LáNczos.- 18.5. Die Momentenmethode.- 18.6. Ein Gradientenverfahren.- 18.7. Die Methode des stärksten Abstiegs und die Methode der konjugierten Richtungen.- 19. Quadraturformelmethoden für Fredholmsche Integralgleichungen zweiter Art.- 19.1. Allgemeine Bemerkungen zur Anwendung von Quadraturformeln für die Lösung von Integralgleichungen.- 19.2. Die Berücksichtigung des Quadraturfehlers bei Anwendung der Gregory-Formeln zur Lösung von Integralgleichungen.- 19.3. Die Quadraturformelmethode mit iterativer Korrektur.- 19.4. Fehlerabschätzung mittels Quadraturformeln und Konvergenzfragen bei Quadraturf ormelverfahren.- 19.5. Anwendung von Produktintegrationsformeln zur Lösung von Integralgleichungen.- 19.6. Doppelapproximation durch Kernersatz und Quadraturformeln.- 19.7. Spezielle Quadraturformeln für Kerne mit stückweise stetigen partiellen Ableitungen.- 20. Variationsmethoden und Projektionsverfahren.- 20.1. Die energetische Methode und das Ritz-Verfahren.- 20.2. Das Bubnow-Galerkin-Verfahren und die Methode der kleinsten Quadrate.- 20.3. Allgemeine Bemerkungen zu Projektionsverfahren. Die Kollokationsmethode.- 21. Weitere numerische Verfahren für Fredholmsche und Volterrasche Integralgleichungen.- 21.1. Das Eingrenzen der Lösungen von Integralgleichungen.- 21.2. Die Methode der monoton zerlegbaren Operatoren.- 21.3. Ein Quadraturformelverfahren für Volterrasche Integralgleichungen zweiter Art.- 21.4. Numerische Verfahren für Volterrasche Integralgleichungen erster Art und Abelsche Gleichungen.- 21.5. Lösung Fredholmscher Gleichungen durch Volterrafaktorisierung.- 21.6. Störungsrechnung für lineare Integralgleichungen.- 21.7. Numerische Lösung von Integralgleichungen erster Art durch Zurückführung auf ein Anfangswertproblem.- 22. Lösung von Integralgleichungen mit Splinefunktionen.- 22.1. Polynomsplines und L-Splines.- 22.2. Die Anwendung der Splinefunktionen auf Integralgleichungen.- 22.3. Approximation durch intervallweise Hermiteinterpolation.- 22.4. Die Lösung mehrdimensionaler Integralgleichungen mittels der Finite-ElementMethode.- 23. Einige Lösungsverfahren für Integralgleichungen mit singulären Kernen.- 23.1. Integralgleichungen mit einem schwach singulären Kern.- 23.2. Integralgleichungen erster Art mit einem Kern vom Cauchytyp.- 23.3. Integralgleichungen zweiter Art mit einem Kern vom Cauchytyp.- 23.4. Integralgleichungen zweiter Art mit einem Kern vom Hilberttyp.- 24. Spezielle Methoden zur Eigenwertberechnung.- 24.1. Eigenwertberechnung mittels der Fredholmschen Determinante und der Spuren.- 24.2. Bestimmung des größten Eigenwertes einer Integralgleichung mit positivem Kern.- 24.3. Schranken für Eigenwerte und Eigenfunktionen durch Lösung inhomogener Gleichungen.- 24.4. Bestimmung der Eigenwerte von Faltungsgleichungen mit Fourierintegralkern.- 24.5. Bestimmung der Eigenwerte von Integralgleichungen mit Integralkernen.- 24.6. Einschließungssätze für Eigenwerte hermitescher Integraloperatoren.- 24.7. Einschließungspolynome und weitere Einschließungsaussagen für Eigenwerte hermitescher Integraloperatoren.- 24.8. Konvergenzaussagen bei der näherungsweisen Berechnung von Eigenwerten.- 25. Fehlerschranken, Konvergenz und Stabilität der Näherungslösungen von Operatorgleichungen zweiter Art.- 25.1. Die Theorie von Anselone.- 25.2. Die Theorie von Kantorowitsch.- 25.3. Die Theorie von Vainikko.- 25.4. Die.
Language: German
Published by Springer, Basel, Birkhäuser Basel, Birkhäuser Aug 2012, 2012
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -InhaltsangabeII. Theorie der Linearen Integralgleichungen Zweiter Art.- 5. Auflösung von linearen Integralgleichungen zweiter Art.- 5.1. Problemstellung, Grundbegriffe.- 5.2. Integralgleichungen zweiter Art mit beschränktem Integral…operator.- 5.3. Potenzreihendarstellung der Lösung.- 5.3.1. Relativ gleichmäßige absolute Konvergenz der Neumannschen Reihe.- 5.4. Integralgleichungen zweiter Art mit endlichdimensionalem Integraloperator.- 5.4.1. Weitere Formeln für die endlichdimensionalen Integraloperatoren.- 5.5. Integralgleichungen zweiter Art mit kompaktem Integraloperator. Die Fredholmschen Sätze.- 5.6. Systeme von Integralgleichungen zweiter Art.- 5.7. Die E. Schmidtsche Lösungsmethode.- 5.8. Die Methode der Gleichungssysteme mit unendlich vielen Unbekannten.- 5.8.1. Lösung von Integralgleichungen mit vollstetigem Integraloperator mit der Methode der Gleichungssysteme.- 5.8.2. Anwendung der Methode der unendlichen Gleichungssysteme zur Lösung von Integralgleichungen mit hermiteschem Kern.- 5.8.3. Weitere Beispiele.- 5.9. Das Verfahren von ENskog.- 5.10. Integralgleichungen zweiter Art mit Levi-Operatoren.- 5.11. Über virtuelle und extremale Lösungen von Integralgleichungen zweiter Art.- 6. Theorie der Fredholmschen Determinanten.- 6.1. Die Integralgleichung als Grenzfall eines linearen Gleichungssystems.- 6.2. Die Hadamardsche Ungleichung.- 6.3. Darstellung des lösenden Kernes durch Fredholmsche Determinanten.- 6.4. Das Geschlecht der Fredholmschen Determinanten stetiger Kerne.- 6.5. Die Lalescoschen Sätze.- 6.6. Fredholmsche Determinanten von stetigen Orthogonalkernen.- 6.7. Die Fredholmschen Minoren.- 6.8. Die Fredholmschen Determinanten von Kernen, die keine Spur besitzen.- 6.9. Die Theorie der Fredholmschen Determinanten für Integraloperatoren aus v).- 6.10. Der Schurcarlemansche Satz.- 6.11. Das Geschlecht der modifizierten Fredholmschen Determinante.- 6.12. Weitere Eigenschaften der modifizierten Fredholmschen Determinante.- 6.13. Die Lalescoschen Sätze für Kerne aus W ).- 6.14. Die Fredholmschen Determinanten spezieller Klassen von Kernen.- 6.14.1. Die Fredholmsche Determinante nuklearer Kerne.- 6.14.2. Kerne von beschränkter Variation.- 6.14.3. Absolut stetige Kerne.- 6.14.4. Kerne, welche einer Lipschitz-Bedingung genügen.- 6.14.5. Differenzierbare Kerne.- 7. Der lösende Operator in der Umgebung eines Poles.- 7.1. Die Laurententwicklung des lösenden Operators.- 7.2. Idempotente Integraloperatoren.- 7.3. Struktur des Hauptteiles des lösenden Operators.- 7.4. Elementarteiler und ihre Anwendung auf den Hauptteil des lösenden Operators.- 8. Eigenwerte und Eigenfunktionen. Reihenentwicklungen nach Eigenfunktionen bei symmetrischen Integraloperatoren.- 8.1. Eigenwerte und Eigenfunktionen.- 8.2. Eigenwerte und Eigenfunktionen von selbstadjungierten Integraloperatoren in H2( , v).- 8.3. Nach Eigenfunktionen fortschreitende Reihenentwicklungen für selbstadjungierte Integraloperatoren in H2( , v).- 8.3.1. Ergänzungen und Zusätze zu den Reihenentwicklungssätzen.- 8.3.1.1. Reihenentwicklung differenzierbarer Kerne nach Eigenfunktionen.- 8.3.2. Reihenentwicklungen nach Eigenfunktionen der iterierten Integraloperatoren.- 8.3.3. Anwendung der Reihenentwicklungssätze auf inhomogene Integralgleichungen zweiter Art mit hermiteschen Kernen.- 8.4. Definite und semidefinite Integraloperatoren.- 8.5. Extremal- und Grenzwerteigenschaften der Eigenwerte selbstadjungierter Integraloperatoren.- 8.5.1. Abhängigkeit der Eigenwerte vom Integrationsbereich und vom Kern.- 8.6. Integralgleichungen mit symmetrisierbaren Kernen.- 8.6.1. Polare und weitere symmetrisierbare Kerne.- 8.7. Positive Kerne.- 8.7.1. Oszillationskerne.- 8.7.2. Ergänzungen zu den positiven Kernen.- 8.8. Weitere Typen von Kernen, bei welchen die Existenz eines Eigenwertes gesichert ist.- 8.9. Das asymptotische Verhalten der Eigenwerte.- 8.10. Die asymptotische Darstellung der Eigenfunktionen.- 8.10.1. Beweis.
