There are a number of very good books available on linear algebra. From this one might deduce that the existing books contain all that one needs to know in the best possible form and that any new book would just repeat material in the old ones. However, new results in linear algebra appear constantly, as do new, simpler, and better proofs of old results. Many linear algebra results obtained in the past thirty years are accessible to undergraduate mathematics majors, but are usually ignored by textbooks. In addition, more than a few interesting old results are not covered in many books. In this book, Prasolov provides the basics of linear algebra, with an emphasis on new results and on nonstandard and interesting proofs. The book features about 230 problems with complete solutions. It would be a fine supplementary text for an undergraduate or graduate algebra course.
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Text: English (translation)
Original Language: Russian
Original Language: Russian
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2 of 7 people found the following review helpful:
5.0 out of 5 stars
A good book on finite dimentional linear algebra,
By Un prof de maths (France) - See all my reviews
This review is from: Problems and Theorems in Linear Algebra (Translations of Mathematical Monographs) (Paperback)
The book opens with determinants ... excepted for this point, I think this book is worth the money it costs.All you need to know in linear algebra at undergraduate level is here.
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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12
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- Matrix Algebra (Econometric Exercises) by Karim M. Abadir in Back Matter
- Conditionals, Information, and Inference: International Workshop, WCII 2002, Hagen, Germany, May 13-15, 2002, Revised Selected Papers (Lecture Notes ... / Lecture Notes in Artificial Intelligence) by Gabriele Kern-Isberner on page 161
- The Schur Complement and Its Applications (Numerical Methods and Algorithms) by Fuzhen Zhang in Back Matter
- Theoretical Nuclear Physics in Italy: Proceedings of the 8th Conference on Problems in Theoretical Nuclear Physics, Cortona, Italy 18-20 October 2000 by Conference on Problems in Theoretical Nuclear Physics 2000 on page 238
- Non-Euclidean Geometries: János Bolyai Memorial Volume (Mathematics and Its Applications) by András Prékopa on page 265
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