Lectures On Classical Differential Geometry
DOWNLOAD
Download Lectures On Classical Differential Geometry PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Lectures On Classical Differential Geometry book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Lectures On Classical Differential Geometry
DOWNLOAD
Author : Dirk Jan Struik
language : en
Publisher: Courier Corporation
Release Date : 1961-01-01
Lectures On Classical Differential Geometry written by Dirk Jan Struik and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961-01-01 with Mathematics categories.
Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.
Lectures On Classical Differential Geometry
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1961
Lectures On Classical Differential Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Lectures On Classical Differential Geometry
DOWNLOAD
Author : Paul A. Blaga
language : en
Publisher:
Release Date : 2005
Lectures On Classical Differential Geometry written by Paul A. Blaga and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Lectures On The Geometry Of Manifolds
DOWNLOAD
Author : Liviu I. Nicolaescu
language : en
Publisher: World Scientific
Release Date : 2007
Lectures On The Geometry Of Manifolds written by Liviu I. Nicolaescu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
The goal of this book is to introduce the reader to some of the most frequently used techniques in modern global geometry. Suited to the beginning graduate student willing to specialize in this very challenging field, the necessary prerequisite is a good knowledge of several variables calculus, linear algebra and point-set topology.The book's guiding philosophy is, in the words of Newton, that ?in learning the sciences examples are of more use than precepts?. We support all the new concepts by examples and, whenever possible, we tried to present several facets of the same issue.While we present most of the local aspects of classical differential geometry, the book has a ?global and analytical bias?. We develop many algebraic-topological techniques in the special context of smooth manifolds such as Poincar duality, Thom isomorphism, intersection theory, characteristic classes and the Gauss-;Bonnet theorem.We devoted quite a substantial part of the book to describing the analytic techniques which have played an increasingly important role during the past decades. Thus, the last part of the book discusses elliptic equations, including elliptic Lpand Hlder estimates, Fredholm theory, spectral theory, Hodge theory, and applications of these. The last chapter is an in-depth investigation of a very special, but fundamental class of elliptic operators, namely, the Dirac type operators.The second edition has many new examples and exercises, and an entirely new chapter on classical integral geometry where we describe some mathematical gems which, undeservedly, seem to have disappeared from the contemporary mathematical limelight.
Lectures On Classical Differential Geometry
DOWNLOAD
Author : Dirk J. Struik
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Lectures On Classical Differential Geometry written by Dirk J. Struik and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.
Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.
Lectures On Differential Geometry
DOWNLOAD
Author : Shlomo Sternberg
language : en
Publisher: American Mathematical Society
Release Date : 2024-10-21
Lectures On Differential Geometry written by Shlomo Sternberg and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-21 with Mathematics categories.
This book is based on lectures given at Harvard University during the academic year 1960?1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats various selected topics in differential geometry. The author concisely addresses standard material and spreads exercises throughout the text. his reprint has two additions to the original volume: a paper written jointly with V. Guillemin at the beginning of a period of intense interest in the equivalence problem and a short description from the author on results in the field that occurred between the first and the second printings.
Lectures On Classical Differential Geometry
DOWNLOAD
Author : Conrad Hal Waddington
language : en
Publisher:
Release Date : 1961
Lectures On Classical Differential Geometry written by Conrad Hal Waddington and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Lectures On Differential Geometry
DOWNLOAD
Author : Buchin Su
language : en
Publisher: World Scientific Publishing Company
Release Date : 1981-01-01
Lectures On Differential Geometry written by Buchin Su and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Mathematics categories.
This book is a set of notes based on lectures delivered by Prof. Su Buchin at Fudan University, Shanghai in 1978 and 1979 to graduate students as well as teachers from other institutions in China. Some selected topics in global differential geometry are dealt with. Certain areas of classical differential geometry based on modern approach are presented in Lectures 1, 3 and 4. Lecture 2 is on integral geometry on the Euclidean plane. It is abridged from W Blaschke's Vorlesungen Ulber Integralgeometrie. In Lecture 5, Cartan's exterior differential forms are introduced. Fruitful applications in this area by Profs S S Chern and C C Hsiung are also discussed.
Lectures On Classical Differential Geometry Second Printing
DOWNLOAD
Author : Dirk Jan STRUIK
language : en
Publisher:
Release Date : 1957
Lectures On Classical Differential Geometry Second Printing written by Dirk Jan STRUIK and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.
Differential Geometry
DOWNLOAD
Author : Clifford Taubes
language : en
Publisher: Oxford University Press
Release Date : 2011-10-13
Differential Geometry written by Clifford Taubes and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-13 with Mathematics categories.
Bundles, connections, metrics and curvature are the lingua franca of modern differential geometry and theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, this book would suit a one-semester course on the subject of bundles and the associated geometry.