Author: Lawrence Conlon
Publisher: Birkhäuser Boston
Keywords: manifolds, differentiable
Number of Pages: 432
Published: 2001-04-01
List price: $59.95
ISBN-10: 0817641343
ISBN-13: 9780817641344

The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry. {Differentiable Manifolds} is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful

Author: John McCleary
Publisher: Cambridge University Press
Keywords: viewpoint, differentiable, geometry
Number of Pages: 324
Published: 1995-01-27
List price: $45.00
ISBN-10: 0521424801
ISBN-13: 9780521424806

This book offers a new treatment of the topic, one which is designed to make differential geometry an approachable subject for advanced undergraduates. Professor McCleary considers the historical development of non-Euclidean geometry, placing differential geometry in the context of geometry students will be familiar with from high school. The text serves as both an introduction to the classical differential geometry of curves and surfaces and as a history of a particular surface, the non-Euclidean or hyperbolic plane. The main theorems of non-Euclidean geometry are presented along with their h

Author: Serge Lang
Publisher: Springer
Keywords: manifolds, differentiable, introduction
Number of Pages: 264
Published: 2002-10-01
List price: $74.95
ISBN-10: 0387954775
ISBN-13: 9780387954776

This book contains essential material that every graduate student must know. Written with Serge Lang’s inimitable wit and clarity, the volume introduces the reader to manifolds, differential forms, Darboux’s theorem, Frobenius, and all the central features of the foundations of differential geometry. Lang lays the basis for further study in geometric analysis, and provides a solid resource in the techniques of differential topology. The book will have a key position on my shelf. -Steven Krantz, Washington University in St. Louis This is an elementary, finite dimensional vers

Author: John L. Nazareth
Publisher: Springer
Keywords: solving, equation, optimization, differentiable
Number of Pages: 240
Published: 2003-03-05
List price: $99.00
ISBN-10: 0387955720
ISBN-13: 9780387955728

In 1984, N. Karmarkar published a seminal paper on algorithmic linear programming. During the subsequent decade, it stimulated a huge outpouring of new algorithmic results by researchers world-wide in many areas of mathematical programming and numerical computation. This book gives an overview of the resulting, dramatic reorganization that has occurred in one of these areas: algorithmic differentiable optimization and equation-solving, or, more simply, algorithmic differentiable programming. The book is aimed at readers familiar with advanced calculus, numerical analysis, in particular numeric

Author: John Willard Milnor
Publisher: Princeton University Press
Keywords: viewpoint, differentiable, topology
Number of Pages: 76
Published: 1997-11-24
List price: $29.95
ISBN-10: 0691048339
ISBN-13: 9780691048338

This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard’s theorem and the Hopf theorem.

Author: Lawrence Conlo
Publisher: Birkhäuser Bosto
Keywords: classics, birkhã¤user, modern, manifolds, differentiable
Number of Pages: 418
Published: 2008-01-11
List price: $44.95
ISBN-10: 081764766X
ISBN-13: 9780817647667

The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry. Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful re

Authors:P.M. Gadea, J. Munoz Masqué,
Publisher: Springer
Keywords: students, teachers, workbook, manifolds, algebra, differentiable, analysis
Number of Pages: 438
Published: 2009-12-09
List price: $69.95
ISBN-10: 904813563X
ISBN-13: 9789048135639

This book is a collection of 375 completely solved exercises on differentiable manifolds, Lie groups, fibre bundles, and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. It is the first book consisting of completely solved problems on differentiable manifolds, and therefore will be a complement to the books on theory. A 42-page formulary is included which will be useful as an aide-mémoire, especially for teachers and researchers on these topics. The book includes 50 figures and will be useful to advanced undergraduate and graduate students