J. Peter May's method displays the large inner advancements inside of algebraic topology during the last numerous a long time, so much of that are principally unknown to mathematicians in different fields. yet he additionally keeps the classical shows of assorted issues the place acceptable. such a lot chapters finish with difficulties that extra discover and refine the techniques provided. the ultimate 4 chapters supply sketches of considerable components of algebraic topology which are as a rule passed over from introductory texts, and the e-book concludes with a listing of instructed readings for these drawn to delving extra into the field.
Read Online or Download A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics Series) PDF
Similar Algebraic Geometry books
First textbook-level account of uncomplicated examples and strategies during this region. appropriate for self-study through a reader who is familiar with a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yank Mathematical Society, in addition to a winning Springer writer.
Grothendieck’s appealing idea of schemes permeates sleek algebraic geometry and underlies its purposes to quantity concept, physics, and utilized arithmetic. this straightforward account of that conception emphasizes and explains the common geometric thoughts at the back of the definitions. within the e-book, ideas are illustrated with primary examples, and specific calculations express how the structures of scheme concept are conducted in perform.
This vintage textual content, written by way of one of many most efficient mathematicians of the 20 th century, is now to be had in a comparatively cheap paperback variation. Exposition is based at the foundations of affine geometry, the geometry of quadratic types, and the constitution of the overall linear crew. Context is broadened via the inclusion of projective and symplectic geometry and the constitution of symplectic and orthogonal teams.
Within the 3rd quantity, the authors speak about algebraic kinds on a flooring box with out attribute, and care for extra complicated geometrical equipment, similar to valuation thought.
Extra info for A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics Series)