Algebraic Equations: An Introduction to the Theories of LaGrange and Galois Contributor(s): Dehn, Edgar (Author) |
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ISBN: 0486439003 ISBN-13: 9780486439006 Publisher: Dover Publications OUR PRICE: $13.46 Product Type: Paperback - Other Formats Published: June 2017 Annotation: Meticulous and complete, this presentation is geared toward upper-level undergraduate and graduate students. It explores the basic ideas of algebraic theory as well as Lagrange and Galois theory, concluding with the application of Galoisian theory to the solution of special equations. Many numerical examples, with complete solutions. 1930 edition. |
Additional Information |
BISAC Categories: - Mathematics | Algebra - General |
Dewey: 512 |
LCCN: 2004049360 |
Series: Dover Phoenix Editions |
Physical Information: 0.82" H x 5.58" W x 8.96" (1.08 lbs) 208 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Meticulous and complete, this presentation of Galois' theory of algebraic equations is geared toward upper-level undergraduate and graduate students. The theories of both Lagrange and Galois are developed in logical rather than historical form and given a thorough exposition. For this reason, Algebraic Equations is an excellent supplementary text, offering students a concrete introduction to the abstract principles of Galois theory. Of further value are the many numerical examples throughout the book, which appear with complete solutions. A third of the text focuses on the basic ideas of algebraic theory, giving detailed explanations of integral functions, permutations, and group in addition to a very clear exposition of the symmetric group and its functions. A study of the theory of Lagrange follows. After a discussion of various groups (including isomorphic, transitive, and Abelian groups), a detailed study of Galois theory covers the properties of the Galoisian function, the general equation, reductions of the group, natural irrationality, and other features. The book concludes with the application of Galoisian theory to the solution of such special equations as Abelian, cyclic, metacyclic, and quintic equations. |