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Linear Algebra: Challenging Problems for Students (Johns Hopkins Studies in the Mathematical Sciences) Hardcover – August 22, 1996

ISBN-13: 978-0801854583 ISBN-10: 080185458X

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Product Details

  • Series: Johns Hopkins Studies in the Mathematical Sciences
  • Hardcover: 192 pages
  • Publisher: The Johns Hopkins University Press (August 22, 1996)
  • Language: English
  • ISBN-10: 080185458X
  • ISBN-13: 978-0801854583
  • Product Dimensions: 0.8 x 6.5 x 9.5 inches
  • Shipping Weight: 15.2 ounces
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (5 customer reviews)
  • Amazon Best Sellers Rank: #13,992,652 in Books (See Top 100 in Books)

Editorial Reviews

Review

"Linear algebra is an increasingly important part of any curriculum in mathematics in our days... A well-organized problem book, like this, will surely be welcomed by students as well as by instructors... This is a very useful book." -- J. Szilasi, Zentralblatt fuer Mathematik

Review

"This book is full of interesting problems which are very useful to the student of linear algebra." -- Debraj Chakrabarti, University of Wisconsin


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17 of 18 people found the following review helpful By David Doster on August 15, 2000
Format: Paperback
Although the subtitle of the collection is "Challenging Problems for Students," a fair number of the problems are not difficult or tricky, but do a wonderful job of testing a student's understanding of the major concepts and techniques of elementary linear algebra. Not all of the problems are original, but they are all instructive and interesting. One of my favorites gives a product AB of a 3 x 2 and 2 x 3 matrix and asks for the product BA. The hints and solutions are clear and concise. I particularly appreciated the attractive layout of this text. Notation is chosen carefully, and everything from font size to spacing of text and the display of complex expressions seems to have been considered with utmost concern and respect for the reader. This book is a very good resource for both students and teachers of linear algebra.
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7 of 8 people found the following review helpful By Charles Ashbacher HALL OF FAMETOP 500 REVIEWERVINE VOICE on December 8, 2005
Format: Paperback
Teachers of college mathematics are always long on stress and short on time. Exams come at regular intervals and finding the right problems to put on them is always a challenge. This is especially true for courses based on theory rather than algorithm execution. I have always found it easy to write exams in courses such as calculus, algebra and statistics, but find myself spending a lot of time creating the exams for courses such as linear and abstract algebra.

This book contains 200 problems and they are split into the following five categories:

1) Vector spaces

2) Determinants, inverses, rank and linear equations.

3) Matrices, linear transformations and eigenvalues.

4) Special matrices: Hadamard, Hermitian, Unitary, Normal and Permutation.

5) Inner product spaces.

While the problems are challenging, they are not unduly so and generally are within the range of what can be offered to your more talented students. Detailed hints to all of the problems are included.

If you are looking for problems to illustrate specific theoretical topics in linear algebra or need ideas for test problems, then this book is a resource that you should take a long look at. I am sure you will find something of value.
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1 of 1 people found the following review helpful By Mark Lee on April 8, 2010
Format: Hardcover Verified Purchase
This expanded version contains a lot more practice problems plus review for basic linear algebra and matrix theory; it's an excellent book for math/stat majors and graduate students, especially for those who are to take "qualifying exams"...
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By Olga Kharitonova on July 13, 2014
Format: Paperback Verified Purchase
This is good book. It is useful for self-study and contains solutions.
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By La Osa on August 25, 2013
Format: Kindle Edition Verified Purchase
This is a great review book for me. (I have a math degree and some graduate work, but have been away from math for several years.) Summary of theory, followed by problems, keeps my interest up, and I am happy to find all matrices consist of complex entries unless otherwise noted.
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