By Richard Evan Schwartz
This publication provides a couple of issues regarding surfaces, akin to Euclidean, round and hyperbolic geometry, the basic team, common masking surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. the most proposal is to get to a couple attention-grabbing arithmetic with no an excessive amount of formality. The booklet additionally contains a few fabric simply tangentially relating to surfaces, akin to the Cauchy tension Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem. The target of the ebook is to provide a tapestry of principles from a number of components of arithmetic in a transparent and rigorous but casual and pleasant manner. necessities comprise undergraduate classes in actual research and in linear algebra, and a few wisdom of complicated research.
Read or Download Mostly Surfaces (Student Mathematical Library) PDF
Similar Algebraic Geometry books
Contents and remedy are clean and extremely diversified from the normal remedies provides a completely confident model of what it potential to do algebra The exposition is not just transparent, it's pleasant, philosophical, and thoughtful even to the main naive or green reader
Within the spring of 1976, George Andrews of Pennsylvania country collage visited the library at Trinity collage, Cambridge, to ascertain the papers of the past due G. N. Watson. between those papers, Andrews stumbled on a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript used to be quickly distinctive "Ramanujan's misplaced computer.
It is a publication approximately major numbers, congruences, mystery messages, and elliptic curves for you to learn disguise to hide. It grew out of undergr- uate classes that the writer taught at Harvard, UC San Diego, and the collage of Washington. The systematic learn of quantity concept was once initiated round 300B.
"It offers a delicate portrait of a superb individual. It describes properly and intelligibly on a nontechnical point the realm of mathematical principles during which Hilbert created his masterpieces. And it illuminates the history of German social heritage opposed to which the drama of Hilberts lifestyles used to be performed.
Extra info for Mostly Surfaces (Student Mathematical Library)