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: 9806

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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: 7239

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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.

An Introduction to Multivariate Statistical Analysis

Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 1497014867

Category: Education

Page: 50

View: 6066

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Facts101 is your complete guide to An Introduction to Multivariate Statistical Analysis. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.


Author: Klaus Jänich

Publisher: Springer-Verlag

ISBN: 366210752X

Category: Mathematics

Page: 276

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Die Vektoranalysis handelt, in klassischer Darstellung, von Vektorfeldern, den Operatoren Gradient, Divergenz und Rotation, von Linien-, Flächen- und Volumenintegralen und von den Integralsätzen von Gauß, Stokes und Green. In moderner Fassung ist es der Cartansche Kalkül mit dem Satz von Stokes. Das vorliegende Buch vertritt grundsätzlich die moderne Herangehensweise, geht aber auch sorgfältig 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 persönliche Stil des Autors und die aus anderen Büchern bereits bekannten Lernhilfen, wie: viele Figuren, mehr als 50 kommentierte Übungsaufgaben, über 100 Tests mit Antworten machen, auch diesen Text zum Selbststudium hervorragend geeignet.

Introduction to Mathematical Analysis

Author: Igor Kriz,Aleš Pultr

Publisher: Springer Science & Business Media

ISBN: 3034806361

Category: Mathematics

Page: 510

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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.​

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

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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.

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: 2004

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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.

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: 3287

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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.

Differential Geometry of Manifolds

Author: Stephen T. Lovett

Publisher: CRC Press

ISBN: 1439865469

Category: Mathematics

Page: 440

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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.

Smooth Manifolds

Author: Rajnikant Sinha

Publisher: Springer

ISBN: 8132221044

Category: Mathematics

Page: 485

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This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the tools they will need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential manifolds, tangent spaces, multivariable differential calculus, topological properties of smooth manifolds, embedded submanifolds, Sard’s theorem and Whitney embedding theorem. It is clearly structured, amply illustrated and includes solved examples for all concepts discussed. Several difficult theorems have been broken into many lemmas and notes (equivalent to sub-lemmas) to enhance the readability of the book. Further, once a concept has been introduced, it reoccurs throughout the book to ensure comprehension. Rank theorem, a vital aspect of smooth manifolds theory, occurs in many manifestations, including rank theorem for Euclidean space and global rank theorem. Though primarily intended for graduate students of mathematics, the book will also prove useful for researchers. The prerequisites for this text have intentionally been kept to a minimum so that undergraduate students can also benefit from it. It is a cherished conviction that “mathematical proofs are the core of all mathematical joy,” a standpoint this book vividly reflects.

Angewandte Mathematik: Body and Soul

Band 2: Integrale und Geometrie in IRn

Author: Kenneth Eriksson,Donald Estep,Claes Johnson

Publisher: Springer-Verlag

ISBN: 3540269509

Category: Mathematics

Page: 362

View: 1180

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"Angewandte Mathematik: Body & Soul" ist ein neuer Grundkurs in der Mathematikausbildung für Studienanfänger in den Naturwissenschaften, der Technik, und der Mathematik, der an der Chalmers Tekniska Högskola in Göteborg entwickelt wurde. Er besteht aus drei Bänden sowie Computer-Software. Das Projekt ist begründet in der Computerrevolution, die ihrerseits völlig neue Möglichkeiten des wissenschaftlichen Rechnens in der Mathematik, den Naturwissenschaften und im Ingenieurwesen eröffnet hat. Es besteht aus einer Synthese der mathematischen Analysis (Soul) mit der numerischen Berechnung (Body) sowie den Anwendungen. Die Bände I-III geben eine moderne Version der Analysis und der linearen Algebra wieder, einschließlich konstruktiver numerischer Techniken und Anwendungen, zugeschnitten auf Anfängerprogramme im Maschinenbau und den Naturwissenschaften. Weitere Bände behandeln Themen wie z.B. dynamische Systeme, Strömungsdynamik, Festkörpermechanik und Elektromagnetismus. Dieser Band entwickelt das Riemann-Integral, um eine Funktion zu einer gegebenen Ableitung zu bestimmen. Darauf aufbauend werden Differentialgleichungen und Anfangswertprobleme mit einer Vielzahl anschaulicher Anwendungen behandelt. Die lineare Algebra wird auf n-dimensionale Räume verallgemeinert, wobei wiederum dem praktischen Umgang und numerischen Lösungstechniken besonderer Platz eingeräumt wird. Die Autoren sind führende Experten im Gebiet des wissenschaftlichen Rechnens und haben schon mehrere erfolgreiche Bücher geschrieben. "[......] Oh, by the way, I suggest immediate purchase of all three volumes!" The Mathematical Association of America Online, 7.7.04

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: 2415

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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.

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: 4980

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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.

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

Publications de L'Institut de Statistique de L'Université de Paris

Author: N.A

Publisher: N.A


Category: Mathematical statistics

Page: N.A

View: 5181

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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: 5948

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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.

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: 8705

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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.