Algebra: Volume I

Paperback | October 21, 2003

byB.L. van der WaerdenTranslated byF. Blum, J.R. Schulenberg

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This beautiful and eloquent text transformed the graduate teaching of algebra in Europe and the United States. It clearly and succinctly formulated the conceptual and structural insights which Noether had expressed so forcefully and combined it with the elegance and understanding with which Artin had lectured. This text is a reprinted version of the original English translation of the first volume of B.L. van der Waerden's Algebra.

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From the Publisher

This beautiful and eloquent text transformed the graduate teaching of algebra in Europe and the United States. It clearly and succinctly formulated the conceptual and structural insights which Noether had expressed so forcefully and combined it with the elegance and understanding with which Artin had lectured. This text is a reprinted ...

From the Jacket

...This beautiful and eloquent text served to transform the graduate teaching of algebra, not only in Germany, but elsewhere in Europe and the United States. It formulated clearly and succinctly the conceptual and structural insights which Noether had expressed so forcefully. This was combined with the elegance and understanding with w...

Format:PaperbackDimensions:279 pages, 9.25 × 6.1 × 0.27 inPublished:October 21, 2003Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387406247

ISBN - 13:9780387406244

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Table of Contents

1. Numbers and Sets; 2. Groups; 3. Rings and Fields; 4. Vector Spaces and Tensor Spaces; 5. Polynomials; 6. Theory of Fields; 7. Continuation of Group Theory; 8. The Galois Theory; 9. Ordering and Well Ordering of Sets; 10. Infinite Field Extensions; 11. Real Fields; Index.

Editorial Reviews

From the reviews:"The book . is a reprinted version of the original English translation of the first volume of B. L. van der Waerden's 'Algebra', without any alterations. However, it is the first softcover printing, worth the price and particularly handy. It is very gratifying to have such an edition . so that further generations of students can both afford it and use it as still one of the best sources . . is one of the most influential textbooks in mathematics of the 20th century." (Werner Kleinert, Zentralblatt MATH, Vol. 1032 (7), 2004)"In the glad to have you back department, I'm delighted that Springer has decided to reprint the two volumes of B.L.van der Waerden's Algebra. Based in part on lectures by Emmy Noether and Emil Artin, this is the book that brought 'abstract algebra' to the mathematical world. . the book reflects the excitement that accompanied the birth of axiomatic algebra. . a book to treasure. I am glad it's back." (MAA-Online, March, 2004)