Dubrovin modern geometry book

Dubrovin is the author of modern geometry methods and applications 4. Novikov are due the original conception and the overall plan of the book. Novikov et als first volume was the defining book on differential geometry sv 93. Modern geometry methods and applications springerlink.

Yangmills giving one of the juciest books on the subject an utter delight. Discover book depositorys huge selection of b a dubrovin books online. Modern geometry methods and applications book depository. Burns over the past fifteen years, the geometrical and topological methods of the theory of manifolds have assumed a central role in the most advanced areas of pure and applied mathematics as well as. Modern geometrymethods and applications b a dubrovin, a.

The second volume picks up on the detailed theory of manifolds and topology and other advanced theories of differential geometry, including homotopy groups, lie algebras and digressing into physical theories as well eg. Up until recently, riemannian geometry and basic topology were not included. The present book is the outcome of a reworking, reordering, and ex tensive elaboration of the abovementioned lecture notes. Dubrovin, 9780387976631, available at book depository with free delivery worldwide. Burns theres some great material that professor novikov presents in this three volume set, indispensible to the mathematician and physicist. The geometry of surfaces, transformation groups, and fields graduate texts in mathematics pt. It is the authors view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. Up until recently, riemannian geometry and basic topology were not included, even by departments or faculties of mathematics. Modern geometry methods and applications av b a dubrovin. The geometry of surfaces, transformation groups, and fields b. Fomenko, differential geometry and topology kirwan, frances c. Essential facts concerning functions on a manifold.