Further Linear Algebra [Paperback]

Thomas S. Blyth (Author), Edmund F. Robertson (Author)

Book Description

ISBN-10: 1852334258 | ISBN-13: 978-1852334253 | Publication Date: November 9, 2001 | Edition: 1st Edition.

Further Linear Algebra is a natural sequel to the authors' highly acclaimed SUMS volume "Basic Linear Algebra". The more advanced topics covered here take the reader to the very heart of the subject, and include inner product spaces, direct sums of subspaces, the primary decomposition theorem and various canonical forms for matrices. Furthermore, the authors provide a brief introduction to the use of MAPLE in linear algebra calculations, and biographical profiles of eminent mathematicians associated with the subject. An introductory chapter recaps the prerequisites (for those readers unfamiliar with the first volume), and a wide range of worked examples and exercises (with solutions) are strategically placed throughout the text to consolidate understanding.

Editorial Reviews

Review

From the reviews of the first edition: MAA ONLINE "This book will be of interest to anyone who wishes to have a good grasp of linear llgebra and matrix theory. It can also be used as an advanced undergraduate textbook. Although this book does not treat infinite dimensional linear spaces, it provides the reader with a deep understanding of finite dimensional linear spaces. Many aspects of the theory of finite dimensional linear spaces can easily be generalized to the infinite dimensional case. Therefore, this book will also be helpful to those who intend to study infinite dimensional spaces later. " ZENTRALBLATT MATH "…it embodies a beautiful, concise and precise treatment of the subject, with succinct numerical and algebraic worked examples at the right points, and many exercises…This is an excellent textbook which, together with the earlier book, comprises a very nearly complete introduction to linear algebra which not only the undergraduate but also the advanced reader will enjoy studying." "The present book is a contribution of the volume Basic Linear Algebra of the same authors, which appeared in the same Springer series. … It is a very interesting, accessible book for undergraduates (or teacher professors), and the many examples and exercises should really help the undergraduate to study its contents." (Koen Thas, Bulletin of the Belgian Mathematical Society, Vol. 11 (4), 2004) "The book is a contribution of the authors’ Basic Linear Algebra published in the same series. … Besides numerous well-chosen examples scattered throughout the text, the reader can also enjoy short biographical profiles of twenty one eminent mathematicians associated with the subject." (European Mathematical Society Newsletter, December, 2003) "The present book is a natural sequel to the same authors’ successful SUMS volume ‘Basic Linear Algebra’. The most advanced topics here take the reader to the very heart of the subject … . To sum up, this textbook is well suited for self-study or for a one- or two-semester course. Therefore, we warmly recommend it to undergraduate students studying as well as professors teaching Linear Algebra at any level." (Ferenc Móricz, Acta Scientiarum Mathematicarum, Vol. 69, 2003) "Further Linear Algebra is a natural sequel to the authors’ highly acclaimed SUMS volume Basis Linear Algebra. … An introductory chapter recaps the prerequisites (for those readers unfamiliar with the first volume), and a wide range of worked examples and exercises (with solutions) are strategically placed throughout the text to consolidate understanding." (L’Enseignement Mathematique, Vol. 48 (1-2), 2002)

Product Details

• Paperback: 235 pages
• Publisher: Springer; 1st Edition. edition (November 9, 2001)
• Language: English
• ISBN-10: 1852334258
• ISBN-13: 978-1852334253
• Product Dimensions: 8.9 x 7 x 0.6 inches
• Shipping Weight: 13.8 ounces (View shipping rates and policies)
• Average Customer Review: 4.0 out of 5 stars  See all reviews (2 customer reviews)
• Amazon Best Sellers Rank: #1,023,462 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

5 of 7 people found the following review helpful:

5.0 out of 5 stars Fascinating, rigorous and fun, May 5, 2006

By 

Michael M. Danziger (Venice, CA/Jerusalem, Israel) - See all my reviews
(REAL NAME)   

This review is from: Further Linear Algebra (Paperback)

I used this book as part of a Linear Algebra 2 course and found it to be clear and enjoyable to learn from. The chapter on the history of the major pioneers was particularly delightful. This book contains more than most Linear Algebra 2 courses cover (at least more than we did) so I wouldn't necessarily recommend it as THE book to buy to learn Linear Algebra. As its name indicates, it is more of an enrichment book in many ways. I think that this book, like many put out by Springer, helps flesh out an otherwise daunting subject, showing part of its mathematical beauty that is visible on the undergraduate level.

4 of 11 people found the following review helpful:

3.0 out of 5 stars Buy With a Bottle of Glue..., August 13, 2006

By 

Math Geek (Oro Valley, AZ USA) - See all my reviews

Amazon Verified Purchase

This review is from: Further Linear Algebra (Paperback)

Or you may lose a few pages.
The first day of use a pair of sheets came undone. I glued them in and now another set is coming out. The mathematical material looks well done and is nice pedagogical work. I would have given the book 4 or 5 stars for that, but the physical packaging--a responsibility of the publisher--is terrible. Why didn't they sew in the pages of a math text, which always can be counted on to receive heavy use? The first day of use and it begins to fall apart, too! Glue alone is not enough; I've owned cheap paperback novels which were bound more durably. Shame on Springer, a venerable science publisher!