Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Linear Algebra: An Introductory Approach /
.
Bookmark this Record
Catalogue Record 44990
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 44990
.
Reviews
Catalogue Record 44990
.
British Library
Resolver for RSN-44990
Google Scholar
Resolver for RSN-44990
WorldCat
Resolver for RSN-44990
Catalogo Nazionale SBN
Resolver for RSN-44990
GoogleBooks
Resolver for RSN-44990
ICTP Library
Resolver for RSN-44990
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
512.5
Title
Linear Algebra ([EBook] :) : An Introductory Approach / / by Charles W. Curtis.
Author
Curtis, Charles W.
Other name(s)
SpringerLink (Online service)
Edition statement
4.
Publication
New York, NY : : Springer New York : : Imprint: Springer, , 1984.
Physical Details
X, 350 p. : online resource.
Series
Undergraduate texts in mathematics
0172-6056
ISBN
9781461211365
Summary Note
Linear algebra is the branch of mathematics that has grown from a care ful study of the problem of solving systems of linear equations. The ideas that developed in this way have become part of the language of much of higher mathematics. They also provide a framework for appli cations of linear algebra to many problems in mathematics, the natural sciences, economics, and computer science. This book is the revised fourth edition of a textbook designed for upper division courses in linear algebra. While it does not presuppose an earlier course, many connections between linear algebra and under graduate analysis are worked into the discussion, making it best suited for students who have completed the calculus sequence. For many students, this may be the first course in which proofs of the main results are presented on an equal footing with methods for solving numerical problems. The concepts needed to understand the proofs are shown to emerge naturally from attempts to solve concrete problems. This connection is illustrated by worked examples in almost every section. Many numerical exercises are included, which use all the ideas, and develop important techniques for problem-solving. There are also theoretical exercises, which provide opportunities for students to discover interesting things for themselves, and to write mathematical explanations in a convincing way. Answers and hints for many of the problems are given in the back. Not all answers are given, however, to encourage students to learn how to check their work.:
Contents note
1. Introduction to Linear Algebra -- 1. Some problems which lead to linear algebra -- 2. Number systems and mathematical induction -- 2. Vector Spaces and Systems of Linear Equations -- 3. Vector spaces -- 4. Subspaces and linear dependence -- 5. The concepts of basis and dimension -- 6. Row equivalence of matrices -- 7. Some general theorems about finitely generated vector spaces -- 8. Systems of linear equations -- 9. Systems of homogeneous equations -- 10. Linear manifolds -- 3. Linear Transformations and Matrices -- 11. Linear transformations -- 12. Addition and multiplication of matrices -- 13. Linear transformations and matrices -- 4. Vector Spaces with an Inner Product -- 14. The concept of symmetry -- 15. Inner products -- 5. Determinants -- 16. Definition of determinants -- 17. Existence and uniqueness of determinants -- 18. The multiplication theorem for determinants -- 19. Further properties of determinants -- 6. Polynomials and Complex Numbers -- 20. Polynomials -- 21. Complex numbers -- 7. The Theory of a Single Linear Transformation -- 22. Basic concepts -- 23. Invariant subspaces -- 24. The triangular form theorem -- 25. The rational and Jordan canonical forms -- 8. Dual Vector Spaces and Multilinear Algebra -- 26. Quotient spaces and dual vector spaces -- 27. Bilinear forms and duality -- 28. Direct sums and tensor products -- 29. A proof of the elementary divisor theorem -- 9. Orthogonal and Unitary Transformations -- 30. The structure of orthogonal transformations -- 31. The principal axis theorem -- 32. Unitary transformations and the spectral theorem -- 10. Some Applications of Linear Algebra -- 33. Finite symmetry groups in three dimensions -- 34. Application to differential equations -- 35. Analytic methods in matrix theory -- 36. Sums of squares and Hurwitz’s theorem -- Bibliography (with Notes) -- Solutions of Selected Exercises -- Symbols (Including Greek Letters).
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-1136-5
Links to Related Works
Subject References:
Algebra
.
Linear and Multilinear Algebras, Matrix Theory
.
Mathematics
.
Matrix theory
.
Authors:
Curtis, Charles W.
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Undergraduate texts in mathematics
.
Classification:
512.5
.
.
ISBD Display
Catalogue Record 44990
.
Tag Display
Catalogue Record 44990
.
Related Works
Catalogue Record 44990
.
Marc XML
Catalogue Record 44990
.
Add Title to Basket
Catalogue Record 44990
.
Catalogue Information 44990
Beginning of record
.
Catalogue Information 44990
Top of page
.
Download Title
Catalogue Record 44990
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
44990
1
44990
-
2
44990
-
3
44990
-
4
44990
-
5
44990
-
Quick Search
Search for