By David A. Singer
A desirable travel via components of geometry scholars are not going to work out within the remainder of their reports whereas, even as, anchoring their tours to the well-known parallel postulate of Euclid. the writer exhibits how choices to Euclids 5th postulate result in attention-grabbing and diversified styles and symmetries, and, within the means of studying geometric items, the writer contains the algebra of advanced and hypercomplex numbers, a few graph idea, and a few topology. attention-grabbing difficulties are scattered during the textual content. however, the e-book simply assumes a direction in Euclidean geometry at highschool point. whereas many ideas brought are complex, the mathematical thoughts usually are not. Singers vigorous exposition and off-beat strategy will tremendously allure either to scholars and mathematicians, and the contents of the e-book may be coated in a one-semester path, might be as a sequel to a Euclidean geometry direction.
Read Online or Download Geometry: Plane and Fancy (Undergraduate Texts in Mathematics) PDF
Best Algebraic Geometry books
Algebraic topology is a uncomplicated a part of sleek arithmetic, and a few wisdom of this zone is essential for any complex paintings on the subject of geometry, together with topology itself, differential geometry, algebraic geometry, and Lie teams. This publication offers an in depth remedy of algebraic topology either for academics of the topic and for complicated graduate scholars in arithmetic both focusing on this sector or carrying on with directly to different fields.
First textbook-level account of easy examples and strategies during this quarter. appropriate for self-study via a reader who understands a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yankee Mathematical Society, in addition to a winning Springer writer.
Grothendieck’s attractive concept of schemes permeates sleek algebraic geometry and underlies its purposes to quantity conception, physics, and utilized arithmetic. this easy account of that concept emphasizes and explains the common geometric recommendations at the back of the definitions. within the booklet, thoughts are illustrated with primary examples, and particular calculations convey how the structures of scheme thought are performed in perform.
This vintage textual content, written by way of one of many most advantageous mathematicians of the twentieth century, is now on hand in a cost-efficient paperback version. Exposition is established at the foundations of affine geometry, the geometry of quadratic types, and the constitution of the overall linear crew. Context is broadened by way of the inclusion of projective and symplectic geometry and the constitution of symplectic and orthogonal teams.
Extra info for Geometry: Plane and Fancy (Undergraduate Texts in Mathematics)