Publisher:

World Scientific

Number of Pages:

832

Price:

99.00

ISBN:

978-981-270-775-8

I didn’t give the first volume of this text a rave review, but I wanted to give the second volume a shot at redemption.

Whereas Volume 1 dealt with the “linear and affine structure” of **R*** ^{n}* (

Almost all results are derived and illustrated in **R**^{2} and **R**^{3}** **only. (There is a discussion of a general singular value decomposition for a rectangular matrix, but the proof is only outlined.) As is true for both volumes, geometric content is emphasized. There are applications to symmetry groups, relativity, hyperbolic geometry, and differential geometry. An instructor would find this a good source of examples.

In summary, there is a lot of interesting material in these books that is not covered in most introductory texts. There are many good examples and illuminating illustrations. Unfortunately, the organization is confusing and the notation is not always helpful.

Again, I use the author’s own words from Volume 1 to suggest that “this book might better be used as a reference book or a companion to a formal course on linear algebra.”

Henry Ricardo (henry@mec.cuny.edu) has retired from Medgar Evers College (CUNY), but continues to serve as Governor of the Metropolitan NY Section of the MAA. He is the author of A Modern Introduction to Differential Equations (Second Edition). His linear algebra text was published in October 2009 by CRC Press.

Date Received:

Wednesday, September 17, 2008

Reviewable:

Yes

Publication Date:

2008

Format:

Paperback

Audience:

Category:

Textbook

Henry Ricardo

12/28/2009

Preface to Volume One

Preface to Volume Two

Part II: The Euclidean Structures of **R**^{1}, **R**^{2} and **R**^{3}

4. The Euclidean Plane **R**^{2}

5. The Euclidean Space **R**^{3}

Appendix

Contents of Volume One

Errata to Volume One

References

Index of Notations

Index

Publish Book:

Modify Date:

Monday, December 28, 2009

- Log in to post comments