Linear Algebra

This book introduces the fundamental concepts, techniques and results of linear algebra that form the basis of analysis, applied mathematics and algebra. Intended as a text for undergraduate students of mathematics, science and engineering with a knowledge of set theory, it discusses the concepts th...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Nair, M. Thamban (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Singh, Arindama (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2018.
Έκδοση:1st ed. 2018.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Nair, M. Thamban.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Linear Algebra  |h [electronic resource] /  |c by M. Thamban Nair, Arindama Singh. 
250 |a 1st ed. 2018. 
264 1 |a Singapore :  |b Springer Singapore :  |b Imprint: Springer,  |c 2018. 
300 |a XI, 341 p. 2 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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505 0 |a Chapter 1. Vector Spaces -- Chapter 2. Linear Transformations -- Chapter 3. Elementary Operations -- Chapter 4. Inner Product Spaces -- Chapter 5. Eigenvalues and Eigenvectors -- Chapter 6. Block Diagonal Representation -- Chapter 7. Spectral Decomposition. 
520 |a This book introduces the fundamental concepts, techniques and results of linear algebra that form the basis of analysis, applied mathematics and algebra. Intended as a text for undergraduate students of mathematics, science and engineering with a knowledge of set theory, it discusses the concepts that are constantly used by scientists and engineers. It also lays the foundation for the language and framework for modern analysis and its applications. Divided into seven chapters, it discusses vector spaces, linear transformations, best approximation in inner product spaces, eigenvalues and eigenvectors, block diagonalisation, triangularisation, Jordan form, singular value decomposition, polar decomposition, and many more topics that are relevant to applications. The topics chosen have become well-established over the years and are still very much in use. The approach is both geometric and algebraic. It avoids distraction from the main theme by deferring the exercises to the end of each section. These exercises aim at reinforcing the learned concepts rather than as exposing readers to the tricks involved in the computation. Problems included at the end of each chapter are relatively advanced and require a deep understanding and assimilation of the topics. 
650 0 |a Algebras, Linear. 
650 0 |a Matrix theory. 
650 0 |a Algebra. 
650 0 |a Mathematics-Study and teaching . 
650 1 4 |a Linear Algebra.  |0 http://scigraph.springernature.com/things/product-market-codes/M11100 
650 2 4 |a Linear and Multilinear Algebras, Matrix Theory.  |0 http://scigraph.springernature.com/things/product-market-codes/M11094 
650 2 4 |a Mathematics Education.  |0 http://scigraph.springernature.com/things/product-market-codes/O25000 
700 1 |a Singh, Arindama.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9789811309250 
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856 4 0 |u https://doi.org/10.1007/978-981-13-0926-7  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)