The differential geometric formulation of analytical mechanics not only offers a new insight into Mechanics, but also provides a more …
In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters …
This volume offers an expanded version of lectures given at the Courant Institute on the theory of Sobolev spaces on …
This volume is intended to allow mathematicians and physicists, especially analysts, to learn about nonlinear problems which arise in Riemannian …
This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important …
This paper is the third in a series, dedicated to the fundamentals of sub-Riemannian geometry and its implications in Lie …
Requiring only an understanding of differentiable manifolds, Isaac Chavel covers introductory ideas followed by a selection of more specialized topics …
Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher …
The second edition featured a new chapter with a systematic development of variational problems from quantum field theory, in particular …
This volume introduces the application of two-component spinor calculus and fibre-bundle theory to complex general relativity. A review of basic …
This text is designed for a one-quarter or one-semester graduate course on Riemannian geometry. It focuses on developing an intimate …
Great introductory differential geometry text! I used this book to help me pass my qualifying exam. Yay Boothby!
The second edition of this text has sold over 6,000 copies since publication in 1986 and this revision will make …
Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over …
In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory …
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced …
Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. Procesi's …
The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of …
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together …
