Overview

Die Lineare Algebra ist eine eigenstandige mathematische Disziplin mit vielfaltigen Querverbindungen zu den anderen mathematischen Fachern und zugleich ein unverzichtbares Instrument fur Wissenschaft und Technik. Dieses Lehrbuch bietet Studierende der Mathematik, der Natur- und Ingenieurwissenschaften eine solide Einfuhrung in die Lineare Algebra. Dabei wird von Anfang an ein starkes Gewicht auf die Wechselbeziehungen zwischen guter Theorie und machtigen Anwendungen gelegt. Fur den sanften Einstieg in die oft als schwierig empfundene mathematische Denkweise wahlt das erste Kapitel ""anschaulich evidente"" geometrische Prinzipien als Ausgangspunkt, um schrittweise zu einer strukturellen Betrachtungsweise zu gelangen. Begriffe, die hier entstehen, sind dann fur die gesamte Darstellung fundamental; in ihr wird der kanonische Inhalt der Linearen Algebra in enger Verflechtung mit geometrischer Deutung und Anwendungen entwickelt. Anwendungen, die sich auf dieser Basis ganz naturlich ergeben, umfassen Fouriertransformationen, gewohnliche Differentialgleichungen, lineare Optimierung sowie Methoden der Modellierung (finite Elemente) und numerische Verfahren mit Blick auf Fragen aus Naturwissenschaften, Technik und Wirtschaftswissenschaften. Eine Vielzahl von Ubungsaufgaben erleichtert die Vertiefung des Lernstoffs. Zu ausgewahlten Aufgaben werden Losungen im Internet angeboten.""

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9783827416322

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Reviews

It can be stated that Chapters 1-9 cover the usual standard material of basic linear algebra, whereas Chapters 10-12 offer a wealth of additional applied topics. The latter are presented in a very elaborated and detailed form, which makes the present book particularly valuable for a wide audience of students in applied sciences. In view of its outstanding lucidity, its numerous instructive examples and carefully selected sets of exercises, its computer-oriented hints, and its steady focus on the interplay between theory and practice, the present book is by far much more than just another standard text in linear algebra. Rather, it is fairly unique in both its user-friendly disposition and its pronounced versatility, which certainly will be appreciated by a wide audience of students and instructors in various sciences. Werner Kleinert (Berlin) in Zentralblatt Mathematik It can be stated that Chapters 1-9 cover the usual standard material of basic linear algebra, whereas Chapters 10-12 offer a wealth of additional applied topics. The latter are presented in a very elaborated and detailed form, which makes the present book particularly valuable for a wide audience of students in applied sciences. In view of its outstanding lucidity, its numerous instructive examples and carefully selected sets of exercises, its computer-oriented hints, and its steady focus on the interplay between theory and practice, the present book is by far much more than just another standard text in linear algebra. Rather, it is fairly unique in both its user-friendly disposition and its pronounced versatility, which certainly will be appreciated by a wide audience of students and instructors in various sciences. Werner Kleinert (Berlin) in Zentralblatt Mathematik

It can be stated that Chapters 1-9 cover the usual standard material of basic linear algebra, whereas Chapters 10-12 offer a wealth of additional applied topics. The latter are presented in a very elaborated and detailed form, which makes the present book particularly valuable for a wide audience of students in applied sciences. In view of its outstanding lucidity, its numerous instructive examples and carefully selected sets of exercises, its computer-oriented hints, and its steady focus on the interplay between theory and practice, the present book is by far much more than just another standard text in linear algebra. Rather, it is fairly unique in both its user-friendly disposition and its pronounced versatility, which certainly will be appreciated by a wide audience of students and instructors in various sciences. Werner Kleinert (Berlin) in Zentralblatt Mathematik

""It can be stated that Chapters 1-9 cover the usual standard material of basic linear algebra, whereas Chapters 10-12 offer a wealth of additional applied topics. The latter are presented in a very elaborated and detailed form, which makes the present book particularly valuable for a wide audience of students in applied sciences. In view of its outstanding lucidity, its numerous instructive examples and carefully selected sets of exercises, its computer-oriented hints, and its steady focus on the interplay between theory and practice, the present book is by far much more than just another standard text in linear algebra. Rather, it is fairly unique in both its user-friendly disposition and its pronounced versatility, which certainly will be appreciated by a wide audience of students and instructors in various sciences."" Werner Kleinert (Berlin) in Zentralblatt Mathematik ""It can be stated that Chapters 1-9 cover the usual standard material of basic linear algebra, whereas Chapters 10-12 offer a wealth of additional applied topics. The latter are presented in a very elaborated and detailed form, which makes the present book particularly valuable for a wide audience of students in applied sciences. In view of its outstanding lucidity, its numerous instructive examples and carefully selected sets of exercises, its computer-oriented hints, and its steady focus on the interplay between theory and practice, the present book is by far much more than just another standard text in linear algebra. Rather, it is fairly unique in both its user-friendly disposition and its pronounced versatility, which certainly will be appreciated by a wide audience of students and instructors in various sciences."" Werner Kleinert (Berlin) in Zentralblatt Mathematik

"""It can be stated that Chapters 1-9 cover the usual standard material of basic linear algebra, whereas Chapters 10-12 offer a wealth of additional applied topics. The latter are presented in a very elaborated and detailed form, which makes the present book particularly valuable for a wide audience of students in applied sciences. In view of its outstanding lucidity, its numerous instructive examples and carefully selected sets of exercises, its computer-oriented hints, and its steady focus on the interplay between theory and practice, the present book is by far much more than just another standard text in linear algebra. Rather, it is fairly unique in both its user-friendly disposition and its pronounced versatility, which certainly will be appreciated by a wide audience of students and instructors in various sciences."" Werner Kleinert (Berlin) in Zentralblatt Mathematik ""It can be stated that Chapters 1-9 cover the usual standard material of basic linear algebra, whereas Chapters 10-12 offer a wealth of additional applied topics. The latter are presented in a very elaborated and detailed form, which makes the present book particularly valuable for a wide audience of students in applied sciences. In view of its outstanding lucidity, its numerous instructive examples and carefully selected sets of exercises, its computer-oriented hints, and its steady focus on the interplay between theory and practice, the present book is by far much more than just another standard text in linear algebra. Rather, it is fairly unique in both its user-friendly disposition and its pronounced versatility, which certainly will be appreciated by a wide audience of students and instructors in various sciences."" Werner Kleinert (Berlin) in Zentralblatt Mathematik"

Author Information

Herbert J. Muthsam ist Professor an der Fakultat fur Mathematik der Universitat Wien. Er halt mathematische und anwendungsorientierte Vorlesungen fur Studierende der Mathematik und der physikalischen Wissenschaften. Er forscht uber numerische Modellierung vorwiegend fur astrophysikalische Fragestellungen.""

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