The most function of this booklet is to offer a scientific remedy of singular homology and cohomology thought. it's in a few feel a sequel to the author's prior publication during this Springer-Verlag sequence entitled Algebraic Topology: An creation. This past publication is well now not a logical prerequisite for the current quantity. even if, it's going to definitely be valuable for a potential reader to have an acquaintance with a number of the issues handled in that past quantity, equivalent to 2-dimensional manifolds and the funda psychological team. Singular homology and cohomology idea has been the topic of a few textbooks within the final couple of many years, so the fundamental define of the idea within reason good validated. as a result, from the perspective of the maths concerned, there may be little that's new or unique in a e-book akin to this. however, there's nonetheless room for loads of type and originality within the info of the exposition. during this quantity the writer has attempted to offer an easy therapy of the subject material, stripped of all pointless definitions, terminology, and technical equipment. He has additionally attempted, at any place possible, to stress the geometric motivation at the back of a number of the suggestions.
Read or Download Singular Homology Theory from 1991, 1st edition (v. 127) PDF
Similar Algebraic Geometry books
This paintings attracts jointly rules from algebraic topology, practical research and geometry. it's a device - a way of conveying details between those 3 topics - and it's been used with luck to find theorems throughout a large span of arithmetic. the aim of this ebook is to acquaint the reader with the basic rules of analytic K-homology and advance a few of its functions.
First textbook-level account of easy examples and methods during this quarter. compatible for self-study by way of a reader who is aware 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 profitable Springer writer.
"It offers a delicate portrait of a good individual. It describes correctly and intelligibly on a nontechnical point the area of mathematical rules within which Hilbert created his masterpieces. And it illuminates the heritage of German social background opposed to which the drama of Hilberts existence used to be performed.
From the preface of the writer: ". .. i've got divided this paintings into books; within the first of those i've got constrained myself to these concerns touching on natural research. within the moment ebook i've got defined these factor which has to be identified from geometry, due to the fact that research is generally constructed in this sort of manner that its software to geometry is proven.
Additional resources for Singular Homology Theory from 1991, 1st edition (v. 127)