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Seminar Analysis Of The Karl Weierstrass Institute Of Mathematics
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Book Synopsis Seminar Analysis of the Karl-Weierstrass-Institute of Mathematics by :
Download or read book Seminar Analysis of the Karl-Weierstrass-Institute of Mathematics written by and published by . This book was released on 1985 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seminar Analysis of the Karl-Weierstrass- Institute of Mathematics, Academy of Sciences of the GDR, 1986/87 by : Bert-Wolfgang Schulze
Download or read book Seminar Analysis of the Karl-Weierstrass- Institute of Mathematics, Academy of Sciences of the GDR, 1986/87 written by Bert-Wolfgang Schulze and published by . This book was released on 1988 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seminar Analysis of the Karl-Weierstrass Institute of Mathematics, Academy of Sciences of the GDR, 1985/86 by : Karl-Weierstrass-Institut für Mathematik
Download or read book Seminar Analysis of the Karl-Weierstrass Institute of Mathematics, Academy of Sciences of the GDR, 1985/86 written by Karl-Weierstrass-Institut für Mathematik and published by . This book was released on 1987 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seminar Analysis of the Karl-Weierstrass- Institute of Mathematics, Academy of Sciences of the GDR, 1986/87 by : Bert-Wolfgang Schulze
Download or read book Seminar Analysis of the Karl-Weierstrass- Institute of Mathematics, Academy of Sciences of the GDR, 1986/87 written by Bert-Wolfgang Schulze and published by . This book was released on 1988 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis in Banach Spaces by : Tuomas Hytönen
Download or read book Analysis in Banach Spaces written by Tuomas Hytönen and published by Springer. This book was released on 2016-11-26 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.
Book Synopsis Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration by : Hans Triebel
Download or read book Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration written by Hans Triebel and published by European Mathematical Society. This book was released on 2010 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first chapters of this book deal with Haar bases, Faber bases and some spline bases for function spaces in Euclidean $n$-space and $n$-cubes. These are used in the subsequent chapters to study sampling and numerical integration preferably in spaces with dominating mixed smoothness. The subject of the last chapter is the symbiotic relationship between numerical integration and discrepancy, measuring the deviation of sets of points from uniformity. This book is addressed to graduate students and mathematicians who have a working knowledge of basic elements of function spaces and approximation theory and who are interested in the subtle interplay between function spaces, complexity theory and number theory (discrepancy).
Book Synopsis Theory of Function Spaces II by : Hans Triebel
Download or read book Theory of Function Spaces II written by Hans Triebel and published by Springer Science & Business Media. This book was released on 1992-04-02 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hölder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are closely connected with Morrey-Campanato spaces. Theory of Function Spaces II is self-contained, although it may be considered an update of the author’s earlier book of the same title. The book’s 7 chapters start with a historical survey of the subject, and then analyze the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds. ------ Reviews The first chapter deserves special attention. This chapter is both an outstanding historical survey of function spaces treated in the book and a remarkable survey of rather different techniques developed in the last 50 years. It is shown that all these apparently different methods are only different ways of characterizing the same classes of functions. The book can be best recommended to researchers and advanced students working on functional analysis. - Zentralblatt MATH
Book Synopsis Pseudo-Differential Operators on Manifolds with Singularities by : B.-W. Schulze
Download or read book Pseudo-Differential Operators on Manifolds with Singularities written by B.-W. Schulze and published by Elsevier. This book was released on 1991-10-17 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics.The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains the Mellin pseudo-differential calculus on R+ and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudo-differential operators along edges with cone-operator-valued symbols.
Book Synopsis Geometry and Analysis on Manifolds by : Toshikazu Sunada
Download or read book Geometry and Analysis on Manifolds written by Toshikazu Sunada and published by Springer. This book was released on 2006-11-14 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. Included in the present volume are expanded versions of most of the invited lectures. In these original research articles, the reader will find up-to date accounts of the subject.
Book Synopsis Theory of Besov Spaces by : Yoshihiro Sawano
Download or read book Theory of Besov Spaces written by Yoshihiro Sawano and published by Springer. This book was released on 2018-11-04 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained textbook of the theory of Besov spaces and Triebel–Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis. These include a priori estimates of elliptic differential equations, the T1 theorem, pseudo-differential operators, the generator of semi-group and spaces on domains, and the Kato problem. Various function spaces are introduced to overcome the shortcomings of Besov spaces and Triebel–Lizorkin spaces as well. The only prior knowledge required of readers is familiarity with integration theory and some elementary functional analysis.Illustrations are included to show the complicated way in which spaces are defined. Owing to that complexity, many definitions are required. The necessary terminology is provided at the outset, and the theory of distributions, L^p spaces, the Hardy–Littlewood maximal operator, and the singular integral operators are called upon. One of the highlights is that the proof of the Sobolev embedding theorem is extremely simple. There are two types for each function space: a homogeneous one and an inhomogeneous one. The theory of function spaces, which readers usually learn in a standard course, can be readily applied to the inhomogeneous one. However, that theory is not sufficient for a homogeneous space; it needs to be reinforced with some knowledge of the theory of distributions. This topic, however subtle, is also covered within this volume. Additionally, related function spaces—Hardy spaces, bounded mean oscillation spaces, and Hölder continuous spaces—are defined and discussed, and it is shown that they are special cases of Besov spaces and Triebel–Lizorkin spaces.
Download or read book Dissertationes mathematicae written by and published by . This book was released on 2001 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Problems and Methods in Mathematical Physics by : Johannes Elschner
Download or read book Problems and Methods in Mathematical Physics written by Johannes Elschner and published by Birkhäuser. This book was released on 2012-12-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the 11th Conference on Problems and Methods in Mathematical Physics (11th TMP), held in Chemnitz, March 25-28, 1999. The conference was dedicated to the memory of Siegfried Prössdorf, who made important contributions to the theory and numerical analysis of operator equations and their applications in mathematical physics and mechanics. The main part of the book comprises original research papers. The topics are ranging from integral and pseudodifferential equations, boundary value problems, operator theory, boundary element and wavelet methods, approximation theory and inverse problems to various concrete problems and applications in physics and engineering, and reflect Prössdorf's broad spectrum of research activities. The volume also contains articles describing the life and mathematical achievements of Siegfried Prössdorf and includes a list of his publications. The book is addressed to a wide audience in the mathematical and engineering sciences.
Book Synopsis Ergodicity for Infinite Dimensional Systems by : Giuseppe Da Prato
Download or read book Ergodicity for Infinite Dimensional Systems written by Giuseppe Da Prato and published by Cambridge University Press. This book was released on 1996-05-16 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book on stochastic modelling of infinite dimensional dynamical systems.
Book Synopsis Institutions and Applications by : David E. Rowe
Download or read book Institutions and Applications written by David E. Rowe and published by Academic Press. This book was released on 2014-06-28 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The History of Modern Mathematics, Volume II: Institutions and Applications focuses on the history and progress of methodologies, techniques, principles, and approaches involved in modern mathematics. The selection first elaborates on crystallographic symmetry concepts and group theory, case of potential theory and electrodynamics, and geometrization of analytical mechanics. Discussions focus on differential geometry and least action, intrinsic differential geometry, physically-motivated research in potential theory, introduction of potentials in electrodynamics, and group theory and crystallography in the mid-19th century. The text then elaborates on Schouten, Levi-Civita, and emergence of tensor calculus, modes and manners of applied mathematics, and pure and applied mathematics in divergent institutional settings in Germany. Topics include function of mathematics within technical colleges, evolvement of the notion of applied mathematics, rise of technical colleges, and an engineering approach to mechanics. The publication examines the transformation of numerical analysis by the computer; mathematics at the Berlin Technische Hochschule/Technische Universität; and contribution of mathematical societies to promoting applications of mathematics in Germany. The selection is a valuable reference for mathematicians and researchers interested in the history of modern mathematics. - Mathematical institutions in France and Germany and their role in promoting applications - Relationship between mathematics and physics - Foundations of mathematics - Complex variable theory, geometry and topology - Geometry in the spirit of Klein's Erlangen program - Algebra and number theory - Formative influences on mathematics in the United States
Book Synopsis Mathematical Communities in the Reconstruction After the Great War 1918–1928 by : Laurent Mazliak
Download or read book Mathematical Communities in the Reconstruction After the Great War 1918–1928 written by Laurent Mazliak and published by Springer Nature. This book was released on 2021-03-27 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a consequence of the international meeting organized in Marseilles in November 2018 devoted to the aftermath of the Great War for mathematical communities. It features selected original research presented at the meeting offering a new perspective on a period, the 1920s, not extensively considered by historiography. After 1918, new countries were created, and borders of several others were modified. Territories were annexed while some countries lost entire regions. These territorial changes bear witness to the massive and varied upheavals with which European societies were confronted in the aftermath of the Great War. The reconfiguration of political Europe was accompanied by new alliances and a redistribution of trade – commercial, intellectual, artistic, military, and so on – which largely shaped international life during the interwar period. These changes also had an enormous impact on scientific life, not only in practice, but also in its organization and communication strategies. The mathematical sciences, which from the late 19th century to the 1920s experienced a deep disciplinary evolution, were thus facing a double movement, internal and external, which led to a sustainable restructuring of research and teaching. Concomitantly, various areas such as topology, functional analysis, abstract algebra, logic or probability, among others, experienced exceptional development. This was accompanied by an explosion of new international or national associations of mathematicians with for instance the founding, in 1918, of the International Mathematical Union and the controversial creation of the International Research Council. Therefore, the central idea for the articulation of the various chapters of the book is to present case studies illustrating how in the aftermath of the war, many mathematicians had to organize their personal trajectories taking into account the evolution of the political, social and scientific environment which had taken place at the end of the conflict.
Book Synopsis A Tutorial on Elliptic PDE Solvers and Their Parallelization by : Craig C. Douglas
Download or read book A Tutorial on Elliptic PDE Solvers and Their Parallelization written by Craig C. Douglas and published by SIAM. This book was released on 2003-01-01 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Tutorial on Elliptic PDE Solvers and Their Parallelization is a valuable aid for learning about the possible errors and bottlenecks in parallel computing. One of the highlights of the tutorial is that the course material can run on a laptop, not just on a parallel computer or cluster of PCs, thus allowing readers to experience their first successes in parallel computing in a relatively short amount of time. This tutorial is intended for advanced undergraduate and graduate students in computational sciences and engineering; however, it may also be helpful to professionals who use PDE-based parallel computer simulations in the field.
Book Synopsis The Intersection of History and Mathematics by : Sasaki Chikara
Download or read book The Intersection of History and Mathematics written by Sasaki Chikara and published by Birkhäuser. This book was released on 2013-03-09 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: