Michael Oberguggenberger – författare

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19 produkter

Analysis for Computer Scientists
Foundations, Methods, and Algorithms
AvAlexander Ostermann,Michael Oberguggenberger
E-bok
PDF, Engelska, 2011
431 kr
Läs direkt efter köp
This textbook presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis. Fully integrating mathematical software into the text as an important component of analysis, the book makes thorough use of examples and explanations using MATLAB, Maple, and Java applets. Mathematical theory is described alongside the basic concepts and methods of numerical analysis, supported by computer experiments and programming exercises, and an extensive use of figure illustrations. Features: thoroughly describes the essential concepts of analysis; provides summaries and exercises in each chapter, as well as computer experiments; discusses important applications and advanced topics; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes definitions, propositions and examples throughout the text; supplementary software can be downloaded from the book’s webpage.
Nonlinear Theory of Generalized Functions
AvMichael Oberguggenberger
Inbunden, Engelska, 2020
2 175 kr
Skickas inom 10-15 vardagar
Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A workshop held at the Erwin-Schr dinger International Institute for Mathematical Physics in Vienna investigated these questions and culminated in this volume of invited papers from experts in the fields of nonlinear partial differential equations, structure theory of generalized functions, geometry and general relativity, stochastic partial differential equations, and nonstandard analysis.The authors provide the latest research relevant to work in partial differential equations, mathematical physics, and nonlinear analysis. With a focus on applications, this books provides a compilation of recent approaches to the problem of singularities in nonlinear models. The theory of differential algebras of generalized functions serves as the central theme of the project, along with its interrelations with classical methods.
Del 537 - Mathematics and Its Applications
Geometric Theory of Generalized Functions with Applications to General Relativity
AvM. Grosser,M. Kunzingerm. fl.
Inbunden, Engelska, 2001
1 122 kr
Skickas inom 10-15 vardagar
Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop ments comprising its structural aspects within the theory of generalized functions as well as a (selective but, as we hope, representative) set of applications. This main purpose of the book is accompanied by a number of sub ordinate goals which we were aiming at when arranging the material included here. First, despite the fact that by now several excellent mono graphs on Colombeau algebras are available, we have decided to give a self-contained introduction to the field in Chapter 1. Our motivation for this decision derives from two main features of our approach. On the one hand, in contrast to other treatments of the subject we base our intro duction to the field on the so-called special variant of the algebras, which makes many of the fundamental ideas of the field particularly transpar ent and at the same time facilitates and motivates the introduction of the more involved concepts treated later in the chapter.
Del 260 - Operator Theory: Advances and Applications
Generalized Functions and Fourier Analysis
Dedicated to Stevan Pilipović on the Occasion of his 65th Birthday
AvMichael Oberguggenberger,Joachim Toftm. fl.
Inbunden, Engelska, 2017
1 122 kr
Skickas inom 10-15 vardagar
This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.
Generalized Functions and Fourier Analysis
Dedicated to Stevan Pilipović on the Occasion of his 65th Birthday
AvPatrik Wahlberg,Jasson Vindasm. fl.
E-bok
PDF, Engelska, 2017
1 416 kr
Läs direkt efter köp
This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.
Del 260 - Operator Theory: Advances and Applications
Generalized Functions and Fourier Analysis
Dedicated to Stevan Pilipović on the Occasion of his 65th Birthday
AvMichael Oberguggenberger,Joachim Toftm. fl.
Häftad, Engelska, 2018
1 122 kr
Skickas inom 10-15 vardagar
This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.
Analysis for Computer Scientists
Foundations, Methods, and Algorithms
AvMichael Oberguggenberger,Alexander Ostermann
Häftad, Engelska, 2018
618 kr
Skickas inom 10-15 vardagar
This easy-to-follow textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and methods of numerical analysis, enriched by computer experiments using MATLAB, Python, Maple, and Java applets. This fully updated and expanded new edition also features an even greater number of programming exercises.Topics and features: describes the fundamental concepts in analysis, covering real and complex numbers, trigonometry, sequences and series, functions, derivatives, integrals, and curves; discusses important applications and advanced topics, such as fractals and L-systems, numerical integration, linear regression, and differential equations; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes added material on hyperbolic functions, curves and surfaces in space, second-order differential equations, and the pendulum equation (NEW); contains experiments, exercises, definitions, and propositions throughout the text; supplies programming examples in Python, in addition to MATLAB (NEW); provides supplementary resources at an associated website, including Java applets, code source files, and links to interactive online learning material.Addressing the core needs of computer science students and researchers, this clearly written textbook is an essential resource for undergraduate-level courses on numerical analysis, and an ideal self-study tool for professionals seeking to enhance their analysis skills.
Analysis for Computer Scientists
Foundations, Methods, and Algorithms
AvAlexander Ostermann,Michael Oberguggenberger
E-bok
Engelska, 2018
797 kr
Läs direkt efter köp
This easy-to-follow textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and methods of numerical analysis, enriched by computer experiments using MATLAB, Python, Maple, and Java applets. This fully updated and expanded new edition also features an even greater number of programming exercises.
Topics and features: describes the fundamental concepts in analysis, covering real and complex numbers, trigonometry, sequences and series, functions, derivatives, integrals, and curves; discusses important applications and advanced topics, such as fractals and L-systems, numerical integration, linear regression, and differential equations; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes added material on hyperbolic functions, curves and surfaces in space, second-order differential equations, and the pendulum equation (NEW); contains experiments, exercises, definitions, and propositions throughout the text; supplies programming examples in Python, in addition to MATLAB (NEW); provides supplementary resources at an associated website, including Java applets, code source files, and links to interactive online learning material.
Addressing the core needs of computer science students and researchers, this clearly written textbook is an essential resource for undergraduate-level courses on numerical analysis, and an ideal self-study tool for professionals seeking to enhance their analysis skills.
Analyzing Uncertainty in Civil Engineering
AvWolfgang Fellin,Heimo Lessmannm. fl.
Inbunden, Engelska, 2004
1 679 kr
Skickas inom 10-15 vardagar
This volumeaddressestheissueofuncertaintyincivilengineeringfromdesign toconstruction. Failures do occur in practice. Attributing them to a residual risk or a faulty execution of the projectdoesnotproperlycover the range of causes. A closer scrutiny of the design, the engineering model, the data, the soil-structure-interactionand the model assumptions is required. Usually, the uncertaintiesininitialandboundaryconditionsaswellasmaterialparameters are abundant. Current engineering practice often leaves these issues aside, despite the factthatnewscienti?c tools have been developed in the past decades that allow a rational description of uncertainties of all kinds, from model uncertainty to data uncertainty. It is the aim of this volume to have a critical look atcurrent engineering riskconcepts in order to raise awareness of uncertainty in numericalcom- tations, shortcomings of a strictly probabilistic safety concept, geotechnical models of failure mechanisms and their implications forconstruction mana- ment, execution,and the juristic questionas to who has to takeresponsibility. In addition, a number ofthe new procedures for modelling uncertaintyare- plained.Our central claim is that doubts and uncertainties must be openly - dressed in the design process. This contrasts certain tendencies in the en- neering community that, though incorporating uncertainties by one or the other way in the modelling process,claim to being able tocontrol them.
Analyzing Uncertainty in Civil Engineering
AvRobert Vieider,Michael Oberguggenbergerm. fl.
E-bok
PDF, Engelska, 2005
2 065 kr
Läs direkt efter köp
Analysis für Informatiker
Grundlagen, Methoden, Algorithmen
AvAlexander Ostermann,Michael Oberguggenberger
E-bok
PDF, Tyska, 2005
284 kr
Läs direkt efter köp
Diese grundlegende Einführung in die Analysis wendet sich an Informatiker im ersten Studienabschnitt. Um speziell auf die Bedürfnisse des Informatikstudiums einzugehen, haben die Autoren diesem Werk folgende Konzepte zugrunde gelegt: Algorithmischer Zugang, schlanke Darstellung, Software als integrativer Bestandteil, Betonung von Modellbildung und Anwendungen der Analysis. Der Gegenstand des Buches liegt im Spannungsfeld zwischen Mathematik, Informatik und Anwendungen. Hier kommt dem algorithmischen Denken ein hoher Stellenwert zu. Der gewählte Zugang beinhaltet: Entwicklung der Grundlagen der Analysis aus algorithmischer Sichtweise, Vergegenständlichung der Theorie mittels MATLAB- und Maple-Programmen und Java-Applets, Behandlung grundlegender Konzepte und Verfahren der numerischen Analysis. Das Buch kann ab dem ersten Semester als Vorlesungsgrundlage, als Begleittext zu einer Vorlesung oder im Selbststudium verwendet werden.
Analysis für Informatiker
Grundlagen, Methoden, Algorithmen
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
2009
544 kr
Skickas inom 5-8 vardagar
Der gewählte Zugang beinhaltet: Entwicklung der Grundlagen der Analysis aus algorithmischer Sichtweise, Vergegenständlichung der Theorie mittels MATLAB- und Maple-Programmen und Java-Applets, Behandlung grundlegender Konzepte und Verfahren der numerischen Analysis.
Analysis für Informatiker
Grundlagen, Methoden, Algorithmen
AvAlexander Ostermann,Michael Oberguggenberger
E-bok
PDF, Tyska, 2009
383 kr
Läs direkt efter köp
Diese grundlegende Einführung in die Analysis wendet sich an Informatiker im ersten Studienabschnitt. Um speziell auf die Bedürfnisse des Informatikstudiums einzugehen, haben die Autoren diesem Werk folgende Konzepte zugrunde gelegt: Algorithmischer Zugang, schlanke Darstellung, Software als integrativer Bestandteil, Betonung von Modellbildung und Anwendungen der Analysis. Der Gegenstand des Buches liegt im Spannungsfeld zwischen Mathematik, Informatik und Anwendungen. Hier kommt dem algorithmischen Denken ein hoher Stellenwert zu. Der gewählte Zugang beinhaltet: Entwicklung der Grundlagen der Analysis aus algorithmischer Sichtweise, Vergegenständlichung der Theorie mittels MATLAB- und Maple-Programmen und Java-Applets, Behandlung grundlegender Konzepte und Verfahren der numerischen Analysis. Das Buch kann ab dem ersten Semester als Vorlesungsgrundlage, als Begleittext zu einer Vorlesung oder im Selbststudium verwendet werden.
Analyzing Uncertainty in Civil Engineering
AvWolfgang Fellin,Heimo Lessmannm. fl.
Häftad, Engelska, 2010
1 679 kr
Skickas inom 10-15 vardagar
This volumeaddressestheissueofuncertaintyincivilengineeringfromdesign toconstruction. Failures do occur in practice. Attributing them to a residual risk or a faulty execution of the projectdoesnotproperlycover the range of causes. A closer scrutiny of the design, the engineering model, the data, the soil-structure-interactionand the model assumptions is required. Usually, the uncertaintiesininitialandboundaryconditionsaswellasmaterialparameters are abundant. Current engineering practice often leaves these issues aside, despite the factthatnewscienti?c tools have been developed in the past decades that allow a rational description of uncertainties of all kinds, from model uncertainty to data uncertainty. It is the aim of this volume to have a critical look atcurrent engineering riskconcepts in order to raise awareness of uncertainty in numericalcom- tations, shortcomings of a strictly probabilistic safety concept, geotechnical models of failure mechanisms and their implications forconstruction mana- ment, execution,and the juristic questionas to who has to takeresponsibility. In addition, a number ofthe new procedures for modelling uncertaintyare- plained.Our central claim is that doubts and uncertainties must be openly - dressed in the design process. This contrasts certain tendencies in the en- neering community that, though incorporating uncertainties by one or the other way in the modelling process,claim to being able tocontrol them.
Analysis für Informatiker
Grundlagen, Methoden, Algorithmen
AvMichael Oberguggenberger,Alexander Ostermann
Häftad, Tyska, 2025
476 kr
Skickas inom 10-15 vardagar
Diese grundlegende Einführung in die Analysis wendet sich an Informatiker im ersten Studienabschnitt. Um speziell auf die Bedürfnisse des Informatikstudiums einzugehen, haben die Autoren diesem Werk folgende Konzepte zugrunde gelegt: Algorithmischer Zugang, schlanke Darstellung, Software als integrativer Bestandteil, Betonung von Modellbildung und Anwendungen der Analysis. Der Gegenstand des Buches liegt im Spannungsfeld zwischen Mathematik, Informatik und Anwendungen. Hier kommt dem algorithmischen Denken ein hoher Stellenwert zu. Der gewählte Zugang beinhaltet: Entwicklung der Grundlagen der Analysis aus algorithmischer Sichtweise, Vergegenständlichung der Theorie mittels MATLAB- und Maple-Programmen und Java-Applets, Behandlung grundlegender Konzepte und Verfahren der numerischen Analysis. Das Buch kann ab dem ersten Semester als Vorlesungsgrundlage, als Begleittext zu einer Vorlesung oder im Selbststudium verwendet werden.
Analysis für Informatiker
Grundlagen, Methoden, Algorithmen
AvAlexander Ostermann,Michael Oberguggenberger
E-bok
PDF, Tyska, 2025
479 kr
Läs direkt efter köp
Diese grundlegende Einführung in die Analysis wendet sich an Informatiker im ersten Studienabschnitt. Um speziell auf die Bedürfnisse des Informatikstudiums einzugehen, haben die Autoren diesem Werk folgende Konzepte zugrunde gelegt: Algorithmischer Zugang, schlanke Darstellung, Software als integrativer Bestandteil, Betonung von Modellbildung und Anwendungen der Analysis. Der Gegenstand des Buches liegt im Spannungsfeld zwischen Mathematik, Informatik und Anwendungen. Hier kommt dem algorithmischen Denken ein hoher Stellenwert zu. Der gewählte Zugang beinhaltet: Entwicklung der Grundlagen der Analysis aus algorithmischer Sichtweise, Vergegenständlichung der Theorie mittels MATLAB- und Maple-Programmen und Java-Applets, Behandlung grundlegender Konzepte und Verfahren der numerischen Analysis. Das Buch kann ab dem ersten Semester als Vorlesungsgrundlage, als Begleittext zu einer Vorlesung oder im Selbststudium verwendet werden.
Del 537 - Mathematics and Its Applications
Geometric Theory of Generalized Functions with Applications to General Relativity
AvM. Grosser,M. Kunzingerm. fl.
Häftad, Engelska, 2010
1 122 kr
Skickas inom 10-15 vardagar
Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop ments comprising its structural aspects within the theory of generalized functions as well as a (selective but, as we hope, representative) set of applications. This main purpose of the book is accompanied by a number of sub ordinate goals which we were aiming at when arranging the material included here. First, despite the fact that by now several excellent mono graphs on Colombeau algebras are available, we have decided to give a self-contained introduction to the field in Chapter 1. Our motivation for this decision derives from two main features of our approach. On the one hand, in contrast to other treatments of the subject we base our intro duction to the field on the so-called special variant of the algebras, which makes many of the fundamental ideas of the field particularly transpar ent and at the same time facilitates and motivates the introduction of the more involved concepts treated later in the chapter.
Geometric Theory of Generalized Functions with Applications to General Relativity
AvR. Steinbauer,Michael Oberguggenbergerm. fl.
E-bok
PDF, Engelska, 2013
1 427 kr
Läs direkt efter köp
Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop ments comprising its structural aspects within the theory of generalized functions as well as a (selective but, as we hope, representative) set of applications. This main purpose of the book is accompanied by a number of sub ordinate goals which we were aiming at when arranging the material included here. First, despite the fact that by now several excellent mono graphs on Colombeau algebras are available, we have decided to give a self-contained introduction to the field in Chapter 1. Our motivation for this decision derives from two main features of our approach. On the one hand, in contrast to other treatments of the subject we base our intro duction to the field on the so-called special variant of the algebras, which makes many of the fundamental ideas of the field particularly transpar ent and at the same time facilitates and motivates the introduction of the more involved concepts treated later in the chapter.
Nonlinear Theory of Generalized Functions
AvMichael Oberguggenberger
Häftad, Engelska, 1999
1 723 kr
Tillfälligt slut
Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A workshop held at the Erwin-Schrödinger International Institute for Mathematical Physics in Vienna investigated these questions and culminated in this volume of invited papers from experts in the fields of nonlinear partial differential equations, structure theory of generalized functions, geometry and general relativity, stochastic partial differential equations, and nonstandard analysis.The authors provide the latest research relevant to work in partial differential equations, mathematical physics, and nonlinear analysis. With a focus on applications, this books provides a compilation of recent approaches to the problem of singularities in nonlinear models. The theory of differential algebras of generalized functions serves as the central theme of the project, along with its interrelations with classical methods.

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Michael Oberguggenberger – författare

Analysis for Computer Scientists

Nonlinear Theory of Generalized Functions

Geometric Theory of Generalized Functions with Applications to General Relativity

Generalized Functions and Fourier Analysis

Generalized Functions and Fourier Analysis

Generalized Functions and Fourier Analysis

Analysis for Computer Scientists

Analysis for Computer Scientists

Analyzing Uncertainty in Civil Engineering

Analyzing Uncertainty in Civil Engineering

Analysis für Informatiker

Analysis für Informatiker

Analysis für Informatiker

Analyzing Uncertainty in Civil Engineering

Analysis für Informatiker

Analysis für Informatiker

Geometric Theory of Generalized Functions with Applications to General Relativity

Geometric Theory of Generalized Functions with Applications to General Relativity

Nonlinear Theory of Generalized Functions

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