INTERNATIONAL STANDARD BOOK NUMBER
Qualification
(electronic bk.)
Qualification
(electronic bk.)
(Number (ISBN
9783030528157
(Number (ISBN
3030528154
Erroneous ISBN
9783030528140
Erroneous ISBN
3030528146
INTERNATIONAL STANDARD MUSIC NUMBER
(Number (ISMN
10.1007/978-3-030-52815-7
NATIONAL BIBLIOGRAPHY NUMBER
Number
15116
OTHER SYSTEM CONTROL NUMBERS
System Control Number
(OCoLC)1252706564
Cancelled or Invalid Control Number
(OCoLC)1255233459
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Advanced linear and matrix algebra /
First Statement of Responsibility
Nathaniel Johnston.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
[2021]
Date of Publication, Distribution, etc.
�2021.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
494p.
Other Physical Details
illustrations (chiefly color)
NOTES PERTAINING TO BINDING AND AVAILABILITY
Text of Note
Available to OhioLINK libraries.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and indexes.
CONTENTS NOTE
Text of Note
Chapter 1: Vector Spaces -- Chapter 2: Matrix Decompositions -- Chapter 3: Tensors and Multilinearity -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercise Solutions.
0
SUMMARY OR ABSTRACT
Text of Note
This textbook emphasizes the interplay between algebra and geometry to motivate the study of advanced linear algebra techniques. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. Building on a first course in linear algebra, this book offers readers a deeper understanding of abstract structures, matrix decompositions, multilinearity, and tensors. Concepts draw on concrete examples throughout, offering accessible pathways to advanced techniques. Beginning with a study of vector spaces that includes coordinates, isomorphisms, orthogonality, and projections, the book goes on to focus on matrix decompositions. Numerous decompositions are explored, including the Shur, spectral, singular value, and Jordan decompositions. In each case, the author ties the new technique back to familiar ones, to create a coherent set of tools. Tensors and multilinearity complete the book, with a study of the Kronecker product, multilinear transformations, and tensor products. Throughout, Extra Topic sections augment the core content with a wide range of ideas and applications, from the QR and Cholesky decompositions, to matrix-valued linear maps and semidefinite programming. Exercises of all levels accompany each section. Advanced Linear and Matrix Algebra offers students of mathematics, data analysis, and beyond the essential tools and concepts needed for further study. The engaging color presentation and frequent marginal notes showcase the author's visual approach. A first course in proof-based linear algebra is assumed. An ideal preparation can be found in the author's companion volume, Introduction to Linear and Matrix Algebra.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9783030528140
Bibliographic Record Identifier
(OCoLC)1157660006.
TOPICAL NAME USED AS SUBJECT
Entry Element
Algebras, Linear.
Entry Element
Matrices.
(SUBJECT CATEGORY (Provisional
Subject Category Subdivision Code
PBF
Subject Category Subdivision Code
MAT002050
Subject Category Subdivision Code
PBF
System Code
bicssc
System Code
bisacsh
System Code
thema
DEWEY DECIMAL CLASSIFICATION
Number
512/
.
5
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA184
.
2
Book number
.
J64
2021
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Johnston, Nathaniel,
Dates
1627-1705,
CORPORATE BODY NAME - SECONDARY RESPONSIBILITY
Entry Element
Ohio Library and Information Network.
ORIGINATING SOURCE
Agency
کتابخانه مرکزی و مرکز اطلاع رسانی دانشگاه
Date of Transaction
20231010123330.5
Cataloguing Rules (Descriptive Conventions))
rda
ELECTRONIC LOCATION AND ACCESS
Date and Hour of Consultation and Access
Advanced Linear and Matrix Algebra-Springer (2021).pdf
Uniform Resource Identifier
https://rave.ohiolink.edu/ebooks/ebc2/9783030528157
Uniform Resource Identifier
https://link.springer.com/10.1007/978-3-030-52815-7
Uniform Resource Identifier
http://proxy.ohiolink.edu:9099/login?url=https://link.springer.com/10.1007/978-3-030-52815-7
Public note
Connect to resource
Public note
Connect to resource
Public note
Connect to resource (off-campus)
BL
270410
Y
