An Introduction to Multivariable Analysis from Vector to Manifold


Author: Piotr Mikusinski,Michael D. Taylor
Publisher: Springer Science & Business Media
ISBN: 1461200733
Category: Mathematics
Page: 295
View: 4395

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Multivariable analysis is of interest to pure and applied mathematicians, physicists, electrical, mechanical and systems engineers, mathematical economists, biologists, and statisticians. This book takes the student and researcher on a journey through the core topics of the subject. Systematic exposition, with numerous examples and exercises from the computational to the theoretical, makes difficult ideas as concrete as possible. Good bibliography and index.

Lesebuch Mathematik für das erste Studienjahr


Author: Joachim Hilgert
Publisher: Springer-Verlag
ISBN: 364234755X
Category: Mathematics
Page: 328
View: 2895

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Dieses Buch ist eine Begleitlektüre zum ersten Jahr des Mathematikstudiums und darüber hinaus. Im Mittelpunkt stehen Motivation und Erläuterung der zentralen Begriffsbildungen anhand von Beispielen und exemplarischen Resultaten. Ausgehend von den elementarsten und historisch frühesten mathematischen Konzepten des Messens und Zählens werden Sie zu modernen Begriffen wie Metriken, Maßen und Vektorräumen geführt, die dann zur Lösung konkreter Probleme einsetzt werden. Die Stoffauswahl ist so angelegt, dass die Querverbindungen zwischen den unterschiedlichen Anfängervorlesungen, die im regulären Studienbetrieb oft eher ausgeblendet werden, deutlich hervortreten. Das Buch richtet sich an Leser, die mit der elementaren Mengenlehre als Sprache zur Beschreibung von mathematischen Inhalten sowie mit den reellen Zahlen als mathematischem Konzept vertraut sind. Das entspricht etwa dem Kenntnisstand, der von Studierenden der Mathematik nach etwa einen Monat Studium erwartet wird.

Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators


Author: Tailen Hsing,Randall Eubank
Publisher: John Wiley & Sons
ISBN: 1118762576
Category: Mathematics
Page: 368
View: 4178

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Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators provides a uniquely broad compendium of the key mathematical concepts and results that are relevant for the theoretical development of functional data analysis (FDA). The self–contained treatment of selected topics of functional analysis and operator theory includes reproducing kernel Hilbert spaces, singular value decomposition of compact operators on Hilbert spaces and perturbation theory for both self–adjoint and non self–adjoint operators. The probabilistic foundation for FDA is described from the perspective of random elements in Hilbert spaces as well as from the viewpoint of continuous time stochastic processes. Nonparametric estimation approaches including kernel and regularized smoothing are also introduced. These tools are then used to investigate the properties of estimators for the mean element, covariance operators, principal components, regression function and canonical correlations. A general treatment of canonical correlations in Hilbert spaces naturally leads to FDA formulations of factor analysis, regression, MANOVA and discriminant analysis. This book will provide a valuable reference for statisticians and other researchers interested in developing or understanding the mathematical aspects of FDA. It is also suitable for a graduate level special topics course.

Vektoranalysis


Author: Klaus Jänich
Publisher: N.A
ISBN: 9783540571421
Category: Lehrbuch - Differenzierbare Mannigfaltigkeit - Vektoranalysis
Page: 275
View: 3021

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Die Vektoranalysis handelt, in klassischer Darstellung, von Vektorfeldern, den Operatoren Gradient, Divergenz und Rotation, von Linien-, Fl chen- und Volumenintegralen und von den Integrals tzen von Gau, Stokes und Green. In moderner Fassung ist es der Cartansche Kalk l mit dem Satz von Stokes. Das vorliegende Buch vertritt grunds tzlich die moderne Herangehensweise, geht aber auch sorgf ltig auf die klassische Notation und Auffassung ein. Das Buch richtet sich an Mathematik- und Physikstudenten ab dem zweiten Studienjahr, die mit den Grundbegriffen der Differential- und Integralrechnung in einer und mehreren Variablen sowie der Topologie vertraut sind. Der sehr pers nliche Stil des Autors und die aus anderen B chern bereits bekannten Lernhilfen, wie: viele Figuren, mehr als 50 kommentierte bungsaufgaben, ber 100 Tests mit Antworten machen, auch diesen Text zum Selbststudium hervorragend geeignet.

Medical Image Computing and Computer-Assisted Intervention -- MICCAI 2009

12th International Conference, London, UK, September 20-24, 2009, Proceedings
Author: Guang-Zhong Yang,David J. Hawkes,Daniel Rueckert,Alison Noble,Chris Taylor
Publisher: Springer Science & Business Media
ISBN: 3642042708
Category: Computers
Page: 1127
View: 6252

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The two-volume set LNCS 5761 and LNCS 5762 constitute the refereed proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2009, held in London, UK, in September 2009. Based on rigorous peer reviews, the program committee carefully selected 259 revised papers from 804 submissions for presentation in two volumes. The first volume includes 125 papers divided in topical sections on cardiovascular image guided intervention and robotics; surgical navigation and tissue interaction; intra-operative imaging and endoscopic navigation; motion modeling and image formation; image registration; modeling and segmentation; image segmentation and classification; segmentation and atlas based techniques; neuroimage analysis; surgical navigation and robotics; image registration; and neuroimage analysis: structure and function.

Differentialgeometrie von Kurven und Flächen


Author: Manfredo P. do Carmo
Publisher: Springer-Verlag
ISBN: 3322850722
Category: Technology & Engineering
Page: 263
View: 1811

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Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang

Modern Multivariate Statistical Techniques

Regression, Classification, and Manifold Learning
Author: Alan J. Izenman
Publisher: Springer Science & Business Media
ISBN: 9780387781891
Category: Mathematics
Page: 733
View: 709

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This is the first book on multivariate analysis to look at large data sets which describes the state of the art in analyzing such data. Material such as database management systems is included that has never appeared in statistics books before.

Differential Geometry of Manifolds


Author: Stephen T. Lovett
Publisher: CRC Press
ISBN: 1439865469
Category: Mathematics
Page: 440
View: 7452

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From the coauthor of Differential Geometry of Curves and Surfaces, this companion book presents the extension of differential geometry from curves and surfaces to manifolds in general. It provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together the classical and modern formulations. The three appendices provide background information on point set topology, calculus of variations, and multilinear algebra—topics that may not have been covered in the prerequisite courses of multivariable calculus and linear algebra. Differential Geometry of Manifolds takes a practical approach, containing extensive exercises and focusing on applications of differential geometry in physics, including the Hamiltonian formulation of dynamics (with a view toward symplectic manifolds), the tensorial formulation of electromagnetism, some string theory, and some fundamental concepts in general relativity.

Introduction to Mathematical Analysis


Author: Igor Kriz,Aleš Pultr
Publisher: Springer Science & Business Media
ISBN: 3034806361
Category: Mathematics
Page: 510
View: 1920

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The book begins at the level of an undergraduate student assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, Lebesgue integral, vector calculus and differential equations. After having built on a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis, as understood by a mathematician today.​

Progress in Image Analysis and Processing, ICIAP 2013

Naples, Italy, September 9-13, 2013, Proceedings
Author: Alfredo Petrosino
Publisher: Springer
ISBN: 3642411843
Category: Computers
Page: 766
View: 9810

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This two volume set (LNCS 8156 and 8157) constitutes the refereed proceedings of the 17th International Conference on Image Analysis and Processing, ICIAP 2013, held in Naples, Italy, in September 2013. The 162 papers presented were carefully reviewed and selected from 354 submissions. The papers aim at highlighting the connection and synergies of image processing and analysis with pattern recognition and machine learning, human computer systems, biomedical imaging and applications, multimedia interaction and processing, 3D computer vision, and understanding objects and scene.

Multivariate analysis

future directions 2
Author: Carlos María Cuadras,Calyampudi Radhakrishna Rao
Publisher: North Holland
ISBN: N.A
Category: Mathematics
Page: 488
View: 1325

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The contributions in this volume, made by distinguished statisticians in several frontier areas of research in multivariate analysis, cover a broad field and indicate future directions of research. The topics covered include discriminant analysis, multidimensional scaling, categorical data analysis, correspondence analysis and biplots, association analysis, latent variable models, bootstrap distributions, differential geometry applications and others. Most of the papers propose generalizations or new applications of multivariate analysis.This volume will be of great interest to statisticians, probabilists, data analysts and scientists working in the disciplines such as biology, biometry, ecology, medicine, econometry, psychometry and marketing. It will be a valuable guide to professors, researchers and graduate students seeking new and promising lines of statistical research.

Einführung in die Komplexe Analysis

Elemente der Funktionentheorie
Author: Wolfgang Fischer,Ingo Lieb
Publisher: Springer-Verlag
ISBN: 3834893773
Category: Mathematics
Page: 214
View: 5761

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In den Bachelor-Studiengängen der Mathematik steht für die Komplexe Analysis (Funktionentheorie) oft nur eine einsemestrige 2-stündige Vorlesung zur Verfügung. Dieses Buch eignet sich als Grundlage für eine solche Vorlesung im 2. Studienjahr. Mit einer guten thematischen Auswahl, vielen Beispielen und ausführlichen Erläuterungen gibt dieses Buch eine Darstellung der Komplexen Analysis, die genau die Grundlagen und den wesentlichen Kernbestand dieses Gebietes enthält. Das Buch bietet über diese Grundausbildung hinaus weiteres Lehrmaterial als Ergänzung, sodass es auch für eine 3- oder 4 –stündige Vorlesung geeignet ist. Je nach Hörerkreis kann der Stoff unterschiedlich erweitert werden. So wurden für den „Bachelor Lehramt“ die geometrischen Aspekte der Komplexen Analysis besonders herausgearbeitet.

Biometrics, Computer Security Systems and Artificial Intelligence Applications


Author: Khalid Saeed,Jerzy Pejas,Romuald Mosdorf
Publisher: Springer Science & Business Media
ISBN: 0387365036
Category: Computers
Page: 342
View: 6709

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This book presents the most recent achievements in some rapidly developing fields within Computer Science. This includes the very latest research in biometrics and computer security systems, and descriptions of the latest inroads in artificial intelligence applications. The book contains over 30 articles by well-known scientists and engineers. The articles are extended versions of works introduced at the ACS-CISIM 2005 conference.

Handbook of Time Series Analysis

Recent Theoretical Developments and Applications
Author: Björn Schelter,Matthias Winterhalder,Jens Timmer
Publisher: John Wiley & Sons
ISBN: 3527609512
Category: Science
Page: 514
View: 6353

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This handbook provides an up-to-date survey of current research topics and applications of time series analysis methods written by leading experts in their fields. It covers recent developments in univariate as well as bivariate and multivariate time series analysis techniques ranging from physics' to life sciences' applications. Each chapter comprises both methodological aspects and applications to real world complex systems, such as the human brain or Earth's climate. Covering an exceptionally broad spectrum of topics, beginners, experts and practitioners who seek to understand the latest developments will profit from this handbook.

Annales de L'I.S.U.P.

Publications de L'Institut de Statistique de L'Université de Paris
Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematical statistics
Page: N.A
View: 394

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Analytical and Stochastic Modelling Techniques and Applications

21st International Conference, ASMTA 2014, Budapest, Hungary, June 30 -- July 2, 2014,Proceedings
Author: Bruno Sericola,Telek Miklós,Gábor Horváth
Publisher: Springer
ISBN: 3319082191
Category: Computers
Page: 273
View: 7014

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This book constitutes the refereed proceedings of the 21st International Conference on Analytical and Stochastic Modelling Techniques and Applications, ASMTA 2014, held in Budapest, Hungary, in June/July 2014. The 18 papers presented were carefully reviewed and selected from 27 submissions. The papers discuss the latest developments in analytical, numerical and simulation algorithms for stochastic systems, including Markov processes, queueing networks, stochastic Petri nets, process algebras, game theory, etc.