000 -LEADER |
fixed length control field |
nam a22 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
240428b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470448714 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.5 |
Item number |
GRE |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Greenleaf, Frederick P |
245 ## - TITLE STATEMENT |
Title |
Linear Algebra |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Name of publisher, distributor, etc |
American Mathematical Society, |
Date of publication, distribution, etc |
2020 |
Place of publication, distribution, etc |
Providence : |
300 ## - PHYSICAL DESCRIPTION |
Extent |
x, 261 p. ; |
Other physical details |
ill., |
Dimensions |
25 cm |
365 ## - TRADE PRICE |
Price amount |
99.00 |
Price type code |
$ |
Unit of pricing |
86.30 |
490 ## - SERIES STATEMENT |
Series statement |
Courant lecture notes ; |
Volume number/sequential designation |
29 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This book is the first of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise. This first volume re-examines basic notions of linear algebra: vector spaces, linear operators, duality, determinants, diagonalization, and inner product spaces, giving an overview of linear algebra with sufficient mathematical precision for advanced use of the subject. This book provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved. New notions are well motivated and interdisciplinary connections are often provided, to give a more intuitive and complete vision of linear algebra. Computational aspects are fully covered, but the study of linear operators remains the focus of study in this book. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Vector space |
|
Topical term or geographic name as entry element |
Tangent vectors |
|
Topical term or geographic name as entry element |
Standard basis |
|
Topical term or geographic name as entry element |
Lie algebra |
|
Topical term or geographic name as entry element |
Exterior derivative |
|
Topical term or geographic name as entry element |
Quotient space |
|
Topical term or geographic name as entry element |
Polar decomposition |
|
Topical term or geographic name as entry element |
Orthonormal basis |
|
Topical term or geographic name as entry element |
Invertible matrix |
|
Topical term or geographic name as entry element |
Inner product space |
|
Topical term or geographic name as entry element |
Eigenspace |
|
Topical term or geographic name as entry element |
Direct sum |
|
Topical term or geographic name as entry element |
Characteristic polynomial |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Marques, Sophie |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
Books |