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:. HC/Mathematik/Analysis

Palumbo, Francesco (Herausgeber); Lauro, Carlo Natale (Herausgeber); Greenacre, Michael (Herausgeber)
Data Analysis and Classification Proceedings of the 6th Conference of the Classification and Data Analysis Group of the Società Italiana di Statistica
Reihe: Studies in Classification, Data Analysis, and Knowledge Organization
Springer-Verlag GmbH, Springer Berlin, Dezember 2009
482 S. - Sprache: Englisch - 237x157x30 mm

ISBN: 3642037380
EAN: 9783642037382

This volume contains revised versions of selected papers presented at the biennial meeting of the Classi?cation and Data Analysis Group (CLADAG) of the Italian Statistical Society, which was held in Macerata, September 12-14, 2007. Carlo Laurochairedthe Scienti?c ProgrammeCommitteeand FrancescoPalumbochaired the Local Organizing Committee. The scienti?c programme scheduled 150 oral presentations and one poster s- sion. Sessions were organised in ?ve plenary sessions, 10 invited paper specialised sessions and 24 solicited paper sessions. Contributed papers and posters were 54 and 12, respectively. Five eminent scholars, who have given important impact in the Classi?cation and Data Analysis ?elds, were invited as keynote speakers, they are H. Bozdogan, S. R. Masera, G. McLachlan, A. Montanari, A. Rizzi. Invited Paper Specialised Sessions focused on the following topics: Knowledge extraction from temporal data models Statistical models with errors-in-covariates Multivariate analysis for microarray data Cluster analysis of complex data Educational processes assessment by means of latent variables models Classi?cation of complex data Multidimensional scaling Statistical models for public policies Classi?cation models for enterprise risk management Model-based clustering It is worth noting that two of the ten specialised sessions were organised by the French (Classi?cation of complex data) and Japanese (Multidimensional scaling) classi?cation societies. The SPC is grateful to professorsOkada (Japan) and Zighed (France), who took charge of the Japanese and French specialised session org- isation, respectively.

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Schilling, René L.; Song, Renming; Vondracek, Zoran
Bernstein Functions Theory and Applications
Reihe: De Gruyter Studies in Mathematics 37
Gruyter, Walter de GmbH, De Gruyter, September 2012
2nd revidierte and ext. ed - 410 S. - Sprache: Englisch - 5 Schwarz-Weiß- Abbildungen, 10 Schwarz-Weiß- Tabellen - 248x178x28 mm

ISBN: 3110252295
EAN: 9783110252293

Bernstein functions appear in various fields of mathematics, e.g. probability theory, potential theory, operator theory, functional analysis and complex analysis- often with different definitions and under different names. Among the synonyms are `Laplace exponent' instead of Bernstein function, and complete Bernstein functions are sometimes called `Pick functions', `Nevanlinna functions' or `operator monotone functions'. This monograph- now in its second revised and extended edition- offers a self-contained and unified approach to Bernstein functions and closely related function classes, bringing together old and establishing new connections. For the second edition the authors added a substantial amount of new material. As in the first edition Chapters 1 to 11 contain general material which should be accessible to non-specialists, while the later Chapters 12 to 15 are devoted to more specialized topics. An extensive list of complete Bernstein functions with their representations is provided. ions is provided.

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Agarwal, Ravi; Hristova, Snezhana; O'Regan, Donal
Non-Instantaneous Impulses in Differential Equations
Springer-Verlag GmbH, Springer International Publishing, Dezember 2017
251 S. - Sprache: Englisch - 49 farbige Abbildungen, 49 farbige Tabellen, Bibliographie - 244x159x22 mm Book

ISBN: 3319663836
EAN: 9783319663838

This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. The authors examine a wide scope of differential equations with non-instantaneous impulses through three comprehensive chapters, providing an all-rounded and unique presentation on the topic, including: - Ordinary differential equations with non-instantaneous impulses (scalar and n-dimensional case)- Fractional differential equations with non-instantaneous impulses (with Caputo fractional derivatives of order q ? (0, 1))- Ordinary differential equations with non-instantaneous impulses occurring at random moments (with exponential, Erlang, or Gamma distribution) Each chapter focuses on theory, proofs and examples, and contains numerous graphs to enrich the reader's understanding. Additionally, a carefully selected bibliography is included. Graduate students at various levels as well as researchers in differential equations and related fields will find this a valuable resource of both introductory and advanced material.

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Selvadurai, A. P. S.
Partial Differential Equations in Mechanics 2 The Biharmonic Equation, Poisson's Equation
Springer-Verlag GmbH, Oktober 2000
2000 - 698 S. - Sprache: Englisch - 215 Abbildungen - 248x204x44 mm Book

ISBN: 3540672842
EAN: 9783540672845

This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.

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Stahl, Gerry G.
Studying Virtual Math Teams Explorations of Group Cognition
Reihe: Computer-Supported Collaborative Learning Series 11
Springer-Verlag GmbH, Springer US, Oktober 2009
626 S. - Sprache: Englisch - 40 schwarz-weiße Abbildungen, 20 schwarz-weiße Fotos, 20 schwarz-weiße Tabellen - 241x167x43 mm

ISBN: 1441902279
EAN: 9781441902276

Studying Virtual Math Teams centers on detailed empirical studies of how students in small online groups make sense of math issues and how they solve problems by making meaning together. These studies are woven together with materials that describe the online environment and pedagogical orientation, as well as reflections on the theoretical implications of the findings in the studies. The nature of group cognition and shared meaning making in collaborative learning is a foundational research issue in CSCL. More generally, the theme of sense making is a central topic in information science. While many authors allude to these topics, few have provided this kind of detailed analysis of the mechanisms of intersubjective meaning making. This book presents a coherent research agenda that has been pursued by the author and his research group. The book opens with descriptions of the project and its methodology, as well as situating this research in the past and present context of the CSCL research field. The core research team then presents five concrete analyses of group interactions in different phases of the Virtual Math Teams research project. These chapters are followed by several studies by international collaborators, discussing the group discourse, the software affordances and alternative representations of the interaction, all using data from the VMT project. The concluding chapters address implications for the theory of group cognition and for the methodology of the learning sciences. In addition to substantial introductory and concluding chapters, this important new book includes analyses based upon the author's previous research, thereby providing smooth continuity and an engaging flow that follows the progression of the research. The VMT project has dual goals: (a) to provide a source of experience and data for practical and theoretical explorations of group knowledge building and (b) to develop an effective online environment and educational service for collaborative learning of mathematics. Studying Virtual Math Teams reflects these twin orientations, reviewing the intertwined aims and development of a rigorous science of small-group cognition and a Web 2.0 educational math service. It documents the kinds of interactional methods that small groups use to explore math issues and provides a glimpse into the potential of online interaction to promote productive math discourse.

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Zagst, Rudi
Interest-Rate Management
Reihe: Springer Finance
Springer-Verlag GmbH, Springer Berlin, April 2002
2002. 2002 - 341 S. - Sprache: Deutsch - 21 schwarz-weiße Abbildungen, Bibliographie - 241x164x27 mm Book

ISBN: 3540675949
EAN: 9783540675945

This book combines a rigorous overview of the mathematics of financial markets with an insight into the practical application of these models to the risk and portfolio management of interest-rate derivatives. It can also serve as a valuable textbook on financial markets for graduate and PhD students in mathematics. Interesting and comprehensive case studies illustrate the theoretical concepts.

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Constanda, Christian (Herausgeber); Bodmann, Bardo E. J. (Herausgeber); Velho, Haroldo F. de Campos (Herausgeber)
Integral Methods in Science and Engineering Progress in Numerical and Analytic Techniques
Springer-Verlag GmbH, Springer US, September 2013
401 S. - Sprache: Englisch - 99 schwarz-weiße und 52 farbige Abbildungen, 53 schwarz-weiße Tabellen - 246x159x22 mm Book

ISBN: 1461478278
EAN: 9781461478270

¿¿Advances in science and technology are driven by the development of rigorous mathematical foundations for the study of both theoretical and experimental models. With certain methodological variations, this type of study always comes down to the application of analytic or computational integration procedures, making such tools indispensible. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques provides a detailed portrait of both the construction of theoretical integral techniques and their application to specific problems in science and engineering.   The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23-27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches.  The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide.                                                                                             Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work.¿

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Arendt, Wolfgang (Herausgeber); Chill, Ralph (Herausgeber); Tomilov, Yuri (Herausgeber)
Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
Reihe: Operator Theory: Advances and Applications 250
Springer-Verlag GmbH, Springer International Publishing, Januar 2016
470 S. - Sprache: Englisch - Bibliographie - 241x159x35 mm Book

ISBN: 3319184938
EAN: 9783319184937

This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor.The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event. They will be a valuable and inspiring source of information for graduate students and established researchers.

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Davis, Jon
Differential Equations with Maple An Interactive Approach
Springer Basel AG, Birkhäuser Boston, Januar 2001
2000. 2000. - 411 S. - Sprache: Englisch - Bibliographie - 239x161x25 mm Book. CDROM

ISBN: 0817641815
EAN: 9780817641818

Differential equations is a subject of wide applicability, and knowledge of dif­ Differential equations is a subject of wide applicability, and knowledge of dif­ ferential ferential equations equations topics topics permeates permeates all all areas areas of of study study in in engineering engineering and and applied applied mathematics. mathematics. Some Some differential differential equations equations are are susceptible susceptible to to analytic analytic means means of of so­ so­ lution, lution, while while others others require require the the generation generation of of numerical numerical solution solution trajectories trajectories to to see see the the behavior behavior of of the the system system under under study. study. For For both both situations, situations, the the software software package package Maple Maple can can be be used used to to advantage. advantage. To To the the student student Making Making effective effective use use of of differential differential equations equations requires requires facility facility in in recognizing recognizing and and solving solving standard standard "tractable" "tractable" problems, problems, as as well well as as having having the the background background in in the the subject subject to to make make use use of of tools tools for for dealing dealing with with situations situations that that are are not not amenable amenable to to simple simple analytic analytic approaches. approaches.

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Problems in Non-Linear Analysis Lectures given at the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 20-28, 1970
Reihe: CIME Summer Schools 55
Springer-Verlag GmbH, Springer Berlin, November 2010
1970. 2nd Print - 574 S. - Sprache: Englisch - 235x159x35 mm

ISBN: 3642109969
EAN: 9783642109966

H. Brezis: Propriétés régularisantes de certains semigroupes et applications.- F. Browder: Normal solvability and existence theorems for nonlinear mappings in Banach spaces.- F. Browder: Normal solvability for nonlinear mappings and the geometry of Banach spaces.- J. Eells, K.D. Elworthy: Wiener integration on certain manifolds.- W.H. Fleming: Nonlinear partial differential equations - Probabilistic and game theoretic methods.- C. Foias: Solutions statistiques des équations d'évolution non linéaires.- J.L. Lions: Quelques problèmes de la théorie des équations non linéaires d'évolution.- A. Pazy: Semi-groups of nonlinear contractions in Hilbert space.- R. Temam: Equations aux dérivées partielles stochastiques.- M.M. Vainberg: Le problème de la minimisation des fonctionnelles non linéaires.

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