Download e-book for iPad: Differential Manifolds (Dover Books on Mathematics) by Antoni A. Kosinski

By Antoni A. Kosinski

The recommendations of differential topology shape the guts of many mathematical disciplines resembling differential geometry and Lie team concept. Differential Manifolds offers to complex undergraduates and graduate scholars the systematic learn of the topological constitution of soft manifolds. writer Antoni A. Kosinski, Professor Emeritus of arithmetic at Rutgers collage, bargains an obtainable method of either the h-cobordism theorem and the type of differential buildings on spheres.
"How worthy it is," famous the Bulletin of the yank Mathematical Society, "to have a unmarried, brief, well-written ebook on differential topology." This quantity starts off with a close, self-contained overview of the rules of differential topology that calls for just a minimum wisdom of basic algebraic topology. next chapters clarify the means of becoming a member of manifolds alongside submanifolds, the deal with presentation theorem, and the facts of the h-cobordism theorem in line with those structures. There follows a bankruptcy at the Pontriagin Construction—the crucial hyperlink among differential topology and homotopy concept. the ultimate bankruptcy introduces the tactic of surgical procedure and applies it to the class of delicate constructions of spheres. The textual content is supplemented through quite a few fascinating old notes and includes a new appendix, "The paintings of Grigory Perelman," by means of John W. Morgan, which discusses the latest advancements in differential topology.

Show description

Read or Download Differential Manifolds (Dover Books on Mathematics) PDF

Best geometry & topology books

Read e-book online Differential Geometry: Bundles, Connections, Metrics and PDF

Bundles, connections, metrics and curvature are the 'lingua franca' of contemporary differential geometry and theoretical physics. This ebook will provide a graduate pupil in arithmetic or theoretical physics with the basics of those gadgets. a few of the instruments utilized in differential topology are brought and the elemental effects approximately differentiable manifolds, soft maps, differential varieties, vector fields, Lie teams, and Grassmanians are all awarded right here.

Download PDF by Kishore Marathe: Topics in Physical Mathematics

As many readers will be aware of, the 20 th century was once a time while the fields of arithmetic and the sciences have been noticeable as separate entities. brought on by the speedy development of the actual sciences and an expanding abstraction in mathematical examine, every one get together, physicists and mathematicians alike, suffered a false impression; not just of the opposition’s theoretical underpinning, yet of the way the 2 topics might be intertwined and successfully applied.

Download e-book for kindle: Towards the Mathematics of Quantum Field Theory (Ergebnisse by Frederic Paugam

This bold and unique booklet units out to introduce to mathematicians (even together with graduate scholars ) the mathematical equipment of theoretical and experimental quantum box thought, with an emphasis on coordinate-free shows of the mathematical items in use. This in flip promotes the interplay among mathematicians and physicists via offering a standard and versatile language for the nice of either groups, notwithstanding mathematicians are the first aim.

Download e-book for iPad: Applied Differential Geometry by William L. Burke

It is a self-contained introductory textbook at the calculus of differential types and sleek differential geometry. The meant viewers is physicists, so the writer emphasises purposes and geometrical reasoning for you to provide effects and ideas an exact yet intuitive that means with no getting slowed down in research.

Extra resources for Differential Manifolds (Dover Books on Mathematics)

Example text

Download PDF sample

Differential Manifolds (Dover Books on Mathematics) by Antoni A. Kosinski


by Steven
4.5

Rated 4.03 of 5 – based on 37 votes