Linear Algebra Done Right. Undergraduate Texts in Mathematics

Axler, Sheldon:

ISBN 10: 3319110799 / ISBN 13: 9783319110790

Editore: Cham : Springer International Publishing, 2014

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XVIII, 348 Seiten, 25 farbige Illustrationen. 23cm In EXCELLENT shape. Sprache: Englisch Gewicht in Gramm: 610.

Codice articolo 318886

Dati bibliografici

• Titolo: Linear Algebra Done Right. Undergraduate Texts in Mathematics
• Editore: Cham : Springer International Publishing
• Data di pubblicazione: 2014
• Lingua: Inglese
• ISBN 10: 3319110799
• ISBN 13: 9783319110790
• Rilegatura: Originalpappband.
• Edizione: Third edition.
• Condizione: Wie neu
• Cataloghi dei venditori:
  • Mathematik

Descrizione articolo

Riassunto

This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.

The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions.

No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.

Informazioni sull?autore

Sheldon Axler is Dean of the College of Science & Engineering at San Francisco State University. He has authored many well-received books includingPrecalculus: A Prelude to Calculus, Algebra & Trigonometry, College Algebra,A Glimpse at Hilbert Space Operators, Harmonic Function Theory, andHolomorphic Spaces.