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Problems and Solutions in Euclidean Geometry
10 June 2011

Problems and Solutions in Euclidean Geometry
Problems and Solutions in Euclidean Geometry
272 pages | Aug 31 2010 |ISBN: 0486477207 | PDF | 5.5 Mb

Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.
Erwin Kreyszig, Differential Geometry
22 August 2013

Erwin Kreyszig, Differential Geometry
Erwin Kreyszig, Differential Geometry
ISBN: 0486667219 | 1991 | EPUB | 384 pages | 26 MB

An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form, but with many explanatory details, figures, and examples, and in a manner that conveys the theoretical and practical importance of the different concepts, methods, and results involved. With problems and solutions. Includes 99 illustrations.
Problems and Solutions in Euclidean Geometry
27 December 2010

Problems and Solutions in Euclidean Geometry

Problems and Solutions in Euclidean Geometry by M. N. Aref, William Wernick

Dover Publications | 2010 | ISBN: 0486477207 | 272 pages | PDF | 14 MB

Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.
Differential Geometry
14 October 2010

Differential Geometry
Differential Geometry
378 pages | Dec 12, 2007 |ISBN:0486634337 | PDF | 8 Mb

Designed for advanced undergraduate or beginning graduate study, this text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; and development of the method of integral formulas for global differential geometry.
A Course In Differential Geometry
22 May 2010

A Course in Differential Geometry
A Course in Differential Geometry
American Mathematical Society | 2000 | ISBN: 082182709X | 184 pages | PDF | 6,6 MB

This textbook for second-year graduate students is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. Chapter I explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. Chapter II deals with vector fields and differential forms. Chapter III addresses integration of vector fields and $p$-plane fields.
Nonlinear Partial Differential Equations in Differential Geometry, Volume 2
8 April 2011

Nonlinear Partial Differential Equations in Differential Geometry, Volume 2

Nonlinear Partial Differential Equations in Differential Geometry, Volume 2

1995 | 339 | ISBN: 0821804316 | DJVU | 6 Mb

What distinguishes differential geometry in the last half of the twentieth century from its earlier history is the use of nonlinear partial differential equations in the study of curved manifolds, submanifolds, mapping problems, and function theory on manifolds, among other topics. The differential equations appear as tools and as objects of study, with analytic and geometric advances fueling each other in the current explosion of progress in this area of geometry in the last twenty years. This book contains lecture notes of minicourses at the Regional Geometry Institute at Park City, Utah, in July 1992. Presented here are surveys of breaking developments in a number of areas of nonlinear partial differential equations in differential geometry. The authors of the articles are not only excellent expositors, but are also leaders in this field of research. All of the articles provide in-depth treatment of the topics and require few prerequisites and less background than current research articles. ...
Conformal Differential Geometry and Its Generalizations
22 May 2010

Conformal Differential Geometry and Its Generalizations
Conformal Differential Geometry and Its Generalizations
Wiley-Interscience | 1996 | ISBN: 0471149586 | 400 pages | PDF | 5,5 MB

Conformal Differential Geometry and Its Generalizations is the first and only text that systematically presents the foundations and manifestations of conformal differential geometry. It offers the first unified presentation of the subject, which was established more than a century ago. The text is divided into seven chapters, each containing figures, formulas, and historical and bibliographical notes, while numerous examples elucidate the necessary theory.
Differential Geometry of Spray and Finsler Spaces
16 February 2011

Differential Geometry of Spray and Finsler Spaces

Differential Geometry of Spray and Finsler Spaces

2001 | 268 | ISBN: 0792368681 | PDF | 1 Mb

This book is a comprehensive report of recent developments in Finsler geometry and Spray geometry. Riemannian geometry and pseudo-Riemannian geometry are treated as the special case of Finsler geometry. The geometric methods developed in this subject are useful for studying some problems arising from biology, physics, and other fields. ...
Elementary Differential Geometry
4 December 2012

Elementary Differential Geometry
Elementary Differential Geometry
Publisher: Cambridge University Press | 2010 | PDF | 330 pages | ISBN: 0521721490 | 5.4Mb

The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss-Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra.
Complex and Differential Geometry
11 July 2014

Complex and Differential Geometry
Wolfgang Ebeling, Klaus Hulek, Knut Smoczyk - Complex and Differential Geometry
Published: 2011-06-29 | ISBN: 3642202993, 3642269001 | PDF | 422 pages | 3 MB

This volume contains the Proceedings of the conference "Complex and Differential Geometry 2009", held at Leibniz Universitat Hannover, September 14 - 18, 2009. It was the aim of this conference to bring specialists from differential geometry and (complex) algebraic geometry together and to discuss new developments in and the interaction between these fields. Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.