Lanterna Rally
eBook PDF Download Digital Library
Studies in Global Geometry and Analysis
Studies in Global Geometry and Analysis
Author: Shiing-Shen Chern
Publisher: Mathematical Association of America (MAA)
Published: 1967
Total Pages: 197
ISBN-13: 9780883851043
DOWNLOAD EBOOK →Global Analysis
Author: Donald Clayton Spencer
Publisher: Princeton University Press
Published: 2015-03-08
Total Pages: 423
ISBN-13: 1400871239
DOWNLOAD EBOOK →Global analysis describes diverse yet interrelated research areas in analysis and algebraic geometry, particularly those in which Kunihiko Kodaira made his most outstanding contributions to mathematics. The eminent contributors to this volume, from Japan, the United States, and Europe, have prepared original research papers that illustrate the progress and direction of current research in complex variables and algebraic and differential geometry. The authors investigate, among other topics, complex manifolds, vector bundles, curved 4-dimensional space, and holomorphic mappings. Bibliographies facilitate further reading in the development of the various studies. Originally published in 1970. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Global Analysis
Author: Ilka Agricola
Publisher: American Mathematical Soc.
Published: 2002
Total Pages: 362
ISBN-13: 0821829513
DOWNLOAD EBOOK →The final third of the book applies the mathematical ideas to important areas of physics: Hamiltonian mechanics, statistical mechanics, and electrodynamics." "There are many classroom-tested exercises and examples with excellent figures throughout. The book is ideal as a text for a first course in differential geometry, suitable for advanced undergraduates or graduate students in mathematics or physics."--BOOK JACKET.
Handbook of Global Analysis
Author: Demeter Krupka
Publisher: Elsevier
Published: 2011-08-11
Total Pages: 1243
ISBN-13: 0080556736
DOWNLOAD EBOOK →This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents
Global Riemannian Geometry: Curvature and Topology
Author: Ana Hurtado
Publisher: Springer Nature
Published: 2020-08-19
Total Pages: 121
ISBN-13: 3030552934
DOWNLOAD EBOOK →This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold. It is intended for both graduate students and researchers.
Complex Differential Geometry
Author: Fangyang Zheng
Publisher: American Mathematical Soc.
Published: 2000
Total Pages: 275
ISBN-13: 0821829602
DOWNLOAD EBOOK →Discusses the differential geometric aspects of complex manifolds. This work contains standard materials from general topology, differentiable manifolds, and basic Riemannian geometry. It discusses complex manifolds and analytic varieties, sheaves and holomorphic vector bundles. It also gives a brief account of the surface classification theory.
Global Differential Geometry
Author: Christian Bär
Publisher: Springer Science & Business Media
Published: 2011-12-18
Total Pages: 520
ISBN-13: 3642228429
DOWNLOAD EBOOK →This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.
Topics in Mathematical Analysis and Differential Geometry
Author: Nicolas K. Laos
Publisher: World Scientific
Published: 1998
Total Pages: 580
ISBN-13: 9789810231804
DOWNLOAD EBOOK →This book studies the interplay between mathematical analysis and differential geometry as well as the foundations of these two fields. The development of a unified approach to topological vector spaces, differential geometry and algebraic and differential topology of function manifolds led to the broad expansion of global analysis. This book serves as a self-contained reference on both the prerequisites for further study and the recent research results which have played a decisive role in the advancement of global analysis.
