Advanced Linear Algebra (2014) [PDF]

  • 20.07.2016, 08:59,
  • Books
Hardcover: 632 pages
Publisher: Chapman and Hall/CRC; 1 number (12 May 2014)
Argot: English
ISBN — 10: 1466559012
ISBN — 13: 978-1466559011

Designed for advanced undergraduate and well-spring graduate students in linear or extract algebra, Advanced Linear Algebra covers unproven aspects of the national, along with examples, computations, and proofs. It explores a brand of advanced topics in linear algebra that highlight the mouth-watering interconnections of the national to geometry, algebra, assay, combinatorics, numerical computation, and many other areas of mathematics.

The book’s 20 chapters are grouped into six strength areas: algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra. The flat of abstraction scale increases as students proceed through the wording, impressive from matrices to vector spaces to modules.

Each chapter consists of a precise vignette zealous to the incident of one established matter. Some chapters look at fundamental supplies from a refined or extract slant while others outfit clear expositions of more unproven concepts. Several chapters presentation atypical perspectives or novel treatments of exemplar results. Contrasting With comparable advanced precise texts, this one minimizes the dependence of each chapter on supplies ground in preceding chapters so that students may tout de suite rebuff to the akin chapter without first wading through pages of earlier supplies to access the necessary algebraic grounding and theorems.

Chapter summaries contain a structured catalogue of the chairman definitions and results. End-of-chapter exercises aid students in digesting the supplies. Students are encouraged to use a computer algebra modus operandi to help interpret computationally focused exercises.

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