A chance for students to apply a wide range of mathematics to an engaging problem This book helps students at the advanced undergraduate and beginning graduate levels to develop connections between the algebra, geometry, and analysis that they know, and to better appreciate the totality of what they have learned. The text demonstrates the use of general concepts by applying theorems from various areas in the context of one problem--solving the quintic. The problem is approached from two directions: the first is Felix ...
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A chance for students to apply a wide range of mathematics to an engaging problem This book helps students at the advanced undergraduate and beginning graduate levels to develop connections between the algebra, geometry, and analysis that they know, and to better appreciate the totality of what they have learned. The text demonstrates the use of general concepts by applying theorems from various areas in the context of one problem--solving the quintic. The problem is approached from two directions: the first is Felix Klein's nineteenth-century approach, using the icosahedron. The second approach presents recent works of Peter Doyle and Curt McMullen, which update Klein's use of transcendental functions to a solution through pure iteration. Filling a pedagogical gap in the literature and providing a solid platform from which to address more advanced material, this meticulously written book: * Develops the Riemann sphere and its field of functions, classifies the finite groups of its automorphisms, computes for each such group a generator of the group-invariant functions, and discusses algebraic aspects of inverting this generator * Gives, in the case of the icosahedral group, an elegant presentation of the relevant icosahedral geometry and its relation to the Brioschi quintic * Reduces the general quintic to Brioschi form by radicals * Proves Kronecker's theorem that an "auxiliary" square root is necessary for any such reduction * Expounds Doyle and McMullen's development of an iterative solution to the quintic * Provides a wealth of exercises and illustrations to clarify the geometry of the quintic
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Add this copy of Geometry of the Quintic to cart. $31.83, very good condition, Sold by Zubal Books rated 4.0 out of 5 stars, ships from Cleveland, OH, UNITED STATES, published 1997 by Wiley-Interscience / John Wiley & Sons, Inc.
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*Price HAS BEEN REDUCED by 10% until Monday, Dec. 2 (weekend sale item)* First edition, first printing, 216 pp., Paperback, very good. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
Add this copy of Geometry of the Quintic to cart. $34.45, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 1997 by Wiley-Interscience.
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Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!
Add this copy of Geometry of the Quintic to cart. $60.00, good condition, Sold by Moe's Books rated 5.0 out of 5 stars, ships from Berkeley, CA, UNITED STATES, published 1997 by John Wiley and Sons, Inc.
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Good. No jacket. Cover is lightly stained, not affecting legibility of text. Cover is dented near top right corner. Binding is tight and inside is clean and unmarked.
Add this copy of Geometry of the Quintic to cart. $134.11, new condition, Sold by GridFreed rated 5.0 out of 5 stars, ships from North Las Vegas, NV, UNITED STATES, published 1997 by Wiley-Interscience.
