Linear Algebra: A First Course with Applications explores the fundamental ideas of linear algebra, including vector spaces, subspaces, basis, span, linear independence, linear transformation, eigenvalues, and eigenvectors, as well as a variety of applications, from inventories to graphics to Google's PageRank.
Unlike other texts on the subject, this classroom-tested book gives students enough time to absorb the material by focusing on vector spaces early on and using computational sections as numerical interludes. It offers introductions to Maple (TM), MATLAB (R), and TI-83 Plus for calculating matrix inverses, determinants, eigenvalues, and eigenvectors.
Moving from the specific to the general, the author raises questions, provides motivation, and discusses strategy before presenting answers. Discussions of motivation and strategy include content and context to help students learn.
Rezensionen / Stimmen
"Knop (Hamilton College) speaks directly to undergraduates with the intention of not only teaching concepts and skills pertaining to the field of linear algebra, but also encouraging them to read mathematics . . . Most importantly, perhaps, is the author saw a positive response in his students' performance in linear algebra when this book was used in his class."
- J.T. Zerger, Catawba College, in Choice: Current Reviews for Academic Libraries, August 2009, Vol. 46, No. 11
"To summarize, by limiting the mathematical scope of the book, and by carefully smoothing the path from the particular to the general, the author has provided an alternative approach to linear algebra that will be of interest to many of those who currently teach it."
- Peter Ruane, in MAA Online, February 2009
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Undergraduate
Illustrationen
116 s/w Abbildungen, 15 s/w Tabellen
15 Tables, black and white; 116 Illustrations, black and white
Maße
Höhe: 260 mm
Breite: 183 mm
Dicke: 44 mm
Gewicht
ISBN-13
978-1-58488-782-9 (9781584887829)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Hamilton College, Clinton, New York, USA
Autor*in
Hamilton College, Clinton, New York, USA
Preface for the Instructor. Foreword. A Little Logic. An Introduction to Vector Spaces. Vector Spaces in General. A Numerical Interlude-Systems of Linear Equations. The Structure of Vector Spaces. Linear Transformations. Linear Transformations and Matrices. Determinants. Eigenvalues and Eigenvectors. Answers to Selected Problems. Index.
