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Essential Linear Algebra with Applications

A Problem-Solving Approach - Previously published in hardcover
BuchKartoniert, Paperback
491 Seiten
Englisch
Springererschienen am22.09.2016Softcover reprint of the original 1st ed. 2014
Rooted in a pedagogically successful problem-solving approach to linear algebra, this work fills a gap in the literature that is sharply divided between, on the one end, elementary texts with only limited exercises and examples, and, at the other end, books too advanced in prerequisites and too specialized in focus to appeal to a wide audience.mehr
Verfügbare Formate
BuchGebunden
EUR80,24
BuchKartoniert, Paperback
EUR53,49
E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextRooted in a pedagogically successful problem-solving approach to linear algebra, this work fills a gap in the literature that is sharply divided between, on the one end, elementary texts with only limited exercises and examples, and, at the other end, books too advanced in prerequisites and too specialized in focus to appeal to a wide audience.
Zusammenfassung
Numerous applications are treated in fields such as computer science, engineering, and the social sciences

Over 500 problems (roughly half solved), often presenting two or more solutions; one more fundamental and elementary, the second more conceptual and sophisticated

Can serve as an introductory or advanced undergraduate textbook, a supplementary problem book, a reference work for professionals, and a resource for independent study

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-1-4939-3853-7
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2016
Erscheinungsdatum22.09.2016
AuflageSoftcover reprint of the original 1st ed. 2014
Seiten491 Seiten
SpracheEnglisch
Gewicht790 g
IllustrationenX, 491 p. 2 illus. in color.
Artikel-Nr.15664701

Inhalt/Kritik

Inhaltsverzeichnis
Preface.- Linear Phenomena and Euclidean Spaces of Small Dimension.- Concrete Vector Spaces.- Vector Spaces and Subspaces.- Linear Transformations.- More Matrix Algebra and Determinants.- General Theory of Linear Equations.- Eigenvectors.- Orthogonality.- Forms.- Vector Spaces over Finite Fields.- Appendix A: Complex Numbers.- Appendix B: Polynomials over Complex Numbers.- References.- Index.mehr
Kritik
"This book gives a rigorous introduction to linear algebra from a mathematical point of view. ... The book presents a 'problem-based' approach, i.e., the author gives the precise theory to permit the reader to solve many different problems. ... The book contains many well-chosen examples and exercises. Also, many problems are completely solved." (Julio Benítez, Mathematical Reviews, June, 2015)

"The present book, as its title indicates, introduces the essential concepts of linear algebra and considers some of its applications. ... the book is very suitable for students who are going to prepare for competitions and Olympiads. Moreover, the solved problems make it a very good problem book, with nice ideas, for anybody working with linear algebra. I recommend this book for students, and also for classroom use by teachers." (Mehdi Hassani, MAA Reviews, April, 2015)

"The present book is a wellcomed addition at the present literature. The approach is elementray, however still rigorous and detailed. It covers the standard topics on linear algebra taught in a two-semester course, from elementray matrix theory to canonical forms and bilinear forms. ... I would be happy to teach linear algebra from this book and ask students to work on problems from it." (A. Arvanitoyeorgos, zbMATH 1309.15001, 2015)
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