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BuchGebunden
341 Seiten
Englisch
Springererschienen am02.08.20181st ed. 2018
This book introduces the fundamental concepts, techniques and results of linear algebra that form the basis of analysis, applied mathematics and algebra.mehr
Verfügbare Formate
BuchGebunden
EUR64,19
BuchKartoniert, Paperback
EUR64,19
E-BookPDF1 - PDF WatermarkE-Book
EUR64,19

Produkt

KlappentextThis book introduces the fundamental concepts, techniques and results of linear algebra that form the basis of analysis, applied mathematics and algebra.
Zusammenfassung
Presents Gaussian elimination and the Gauss-Jordan elimination process

Elaborates on the use of projection operators due to their importance in applications

Discusses solvability of linear equations as an application of results on linear transformations rather than using elementary operations

Includes extensive definitions, proofs, exercises, problems, and other pedagogical aids

Highlights intuitive aspects and their implementation with rigorous formalization

Is useful to undergraduate mathematics and engineering students
Details
ISBN/GTIN978-981-13-0925-0
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2018
Erscheinungsdatum02.08.2018
Auflage1st ed. 2018
Seiten341 Seiten
SpracheEnglisch
Gewicht696 g
IllustrationenXI, 341 p. 2 illus.
Artikel-Nr.15789681

Inhalt/Kritik

Inhaltsverzeichnis
âChapter 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.mehr
Kritik
"This textbook is suitable for a course on linear algebra for students of mathematics, sciences and engineering. ... the material of the book is mostly suitable for a two-semester course for student of mathematics and it is also a useful introduction to functional analysis." (Michal Zajac, zbMath 1414.15001, 2019)

"It is a very well written book. It is clear that Nair and Singh put a lot of work into the text to make the concepts elaborate and lively at the same time. This book can build the confidence of a student majoring in mathematics, science, or engineering by building their critical thinking skills and problem-solving skills - not to mention practice with writing proofs." (Peter Olszewski, MAA Reviews, March, 8, 2019)mehr

Autor

M. Thamban Nair is a professor of mathematics at the Indian Institute of Technology Madras, Chennai, India. He completed his Ph.D. at the Indian Institute of Technology Bombay, Mumbai, India, in 1986. His research interests include functional analysis and operator theory, specifically spectral approximation, the approximate solution of integral and operator equations, regularization of inverse and ill-posed problems. He has published three books, including a textbook, Functional Analysis: A First Course (PHI Learning), and a text-cum-monograph, Linear Operator Equations: Approximation and Regularization (World Scientific), and over 90 papers in reputed journals and refereed conference proceedings. He has guided six Ph.D. students and is an editorial board member of the Journal of Analysis and Number Theory, and Journal of Mathematical Analysis. He is a life member of academic bodies such as Indian Mathematical Society and Ramanujan Mathematical Society.

Arindama Singh is a professor of mathematics at the Indian Institute of Technology Madras, Chennai, India. He completed his Ph.D. at the Indian Institute of Technology Kanpur, India, in 1990. His research interests include knowledge compilation, singular perturbation, mathematical learning theory, image processing, and numerical linear algebra. He has published five books, including Elements of Computation Theory (Springer), and over 47 papers in reputed journals and refereed conference proceedings. He has guided five Ph.D. students and is a life member of many academic bodies, including Indian Society for Industrial and Applied Mathematics, Indian Society of Technical Education, Ramanujan Mathematical Society, Indian Mathematical Society, and The Association of Mathematics Teachers of India