This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topics in physics, with the concepts developed through numerous examples to help the reader become familiar with the techniques....Lasīt vairāk
This book introduces differential geometry and cutting-edge findings from the discipline by incorporating both classical approaches and modern discrete differential geometry across all facets and applications, including graphics and imaging, physics...Lasīt vairāk
This book is a new edition of a title originally published in1992. No other book has been published that treats inverse spectral and inverse scattering results by using the so called Poisson summation formula and the related study of singularities....Lasīt vairāk
(Izdošanas datums: 18-Jun-2013, Izdevniecība: Walter de Gruyter & Co, ISBN-13: 9783110253863)
Offers the study of invariant pseudodistances (non-negative functions on pairs of points) and pseudometrics (non-negative functions on the tangent bundle) in several complex variables. This book provides an overview of a highly active research area...Lasīt vairāk
Peter B. Gilkey, Miguel Brozos-Vazquez, Stana Nikcevic
Sērija : ICP Advanced Texts in Mathematics
(Izdošanas datums: 19-Mar-2012, Izdevniecība: Imperial College Press, ISBN-13: 9781848167421)
A central area of study in Differential Geometry is the examination of the relationship between the purely algebraic properties of the Riemann curvature tensor and the underlying geometric properties of the manifold. In this book, the findings of...Lasīt vairāk
(Izdošanas datums: 13-Oct-2011, Izdevniecība: Oxford University Press, ISBN-13: 9780199605880)
Bundles, connections, metrics & curvature are the lingua franca of modern differential geometry & theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, & providing numerous exa...Lasīt vairāk
Toshiaki Adachi, Hideya Hashimoto, Milen Y. Hristov
(Izdošanas datums: 02-Sep-2011, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814355476)
Contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), that was held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential g...Lasīt vairāk
(Izdošanas datums: 25-Mar-2011, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814329644)
Provides an introduction to the subject in the general setting of pseudo-Riemannian manifolds and their non-degenerate submanifolds, only assuming from the reader some basic knowledge about manifold theory. In this book, a number of results on pseud...Lasīt vairāk
(Izdošanas datums: 24-Mar-2011, Izdevniecība: Oxford University Press, ISBN-13: 9780198526391)
An authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view; it pulls together material from global analysis, topology, and algebra...Lasīt vairāk
(Izdošanas datums: 10-Dec-2010, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814324793)
Deals with Schwarzs lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years. This title focuses on its differential geometric developments by several authors. It contains major historic diffe...Lasīt vairāk
(Izdošanas datums: 03-Nov-2010, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814291255)
Since the foundational work of Lagrange on the differential equation to be satisfied by a minimal surface of the Euclidean space, the theory of minimal submanifolds have undergone considerable developments. This book provides an introduction to the...Lasīt vairāk