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Lädt ... Linear Algebra Done Right (Undergraduate Texts in Mathematics) (2023. Auflage)von Sheldon Axler (Autor)
Werk-InformationenLinear Algebra Done Right von Sheldon Axler
   Keine Keine aktuelle Diskussion zu diesem Buch.  cpg | Oct 15, 2017 |  keine Rezensionen | Rezension hinzufügen
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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. Keine Bibliotheksbeschreibungen gefunden. |
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 Google Books — Lädt ...GenresMelvil Decimal System (DDC)512.5Natural sciences and mathematics Mathematics Algebra Linear, multilinear, multidimensional AlgebraKlassifikation der Library of Congress [LCC] (USA)BewertungDurchschnitt: (4.02)
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2
Axler's linear algebra textbook is famously unusual for downplaying the use of determinants; in this edition, they don't really make an appearance until the very last section of the book. It defines vector spaces in the second section. It appears to say essentially nothing about linear systems of equations, row operations, similar matrices, and a variety of other standard topics for an introductory course. In both the Preface to the Instructor and the Preface to the Student, Axler refers to the "second exposure to linear algebra", and he seems to be very serious about gearing his book to that purpose.
With all that out of the way, my main purpose in writing this review is to address the physical book, rather than its contents. Axler says that in this new edition "[b]eautiful new formatting, including the use of color, creates pages with an unusually pleasant appearance in both print and electronic versions." As it pertains to the print copy I received this afternoon direct from the publisher, I would say that Axler is not exaggerating. The use of color is comparable to that in the most popular calculus textbooks. It really looks sharp.
And it's not just that a lot of work went into the design of this book; the implementation is very impressive. To my eye (supplemented by reading glasses), the printing looks as sharp as it could possibly be. The black text really is black, with none of the color fringing that mars much output from color laser printers, and none of either the fading or the glare that often comes with print-on-demand books. It looks like the pages were printed by professional printers! The binding appears to be glued, but the cover looks nice.
Springer used to be not only the market leader in advanced math books; it used to produce books that looked like they had been created with some care. Then 5 or 10 years ago, things went south for customers like me who care about the physical product. Cheap bindings fell apart in a few days or arrived already broken. Cheap POD printing produced output that looked worse than that of the worst personal computer printer, and bad printing is distracting when you're trying to concentrate on the math.
I hope my copy of this book is not an outlier, and that Springer really is once again committed to quality workmanship for all titles and regardless of whether books are purchased directly from the publisher or from a retailer like Amazon.