Geometry Ii
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Geometry Ii
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Author : Marcel Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-20
Geometry Ii written by Marcel Berger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-20 with Mathematics categories.
This is the second of a two-volume textbook that provides a very readable and lively presentation of large parts of geometry in the classical sense. For each topic the author presents a theorem that is esthetically pleasing and easily stated, although the proof may be quite hard and concealed. Yet another strong trait of the book is that it provides a comprehensive and unified reference source for the field of geometry in the full breadth of its subfields and ramifications.
Geometry Ii
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Author : E.B. Vinberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Geometry Ii written by E.B. Vinberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
A very clear account of the subject from the viewpoints of elementary geometry, Riemannian geometry and group theory – a book with no rival in the literature. Mostly accessible to first-year students in mathematics, the book also includes very recent results which will be of interest to researchers in this field.
Aspects Of Differential Geometry Ii
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Author : Peter Gilkey
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2015-04-01
Aspects Of Differential Geometry Ii written by Peter Gilkey and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-01 with Mathematics categories.
Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book II deals with more advanced material than Book I and is aimed at the graduate level. Chapter 4 deals with additional topics in Riemannian geometry. Properties of real analytic curves given by a single ODE and of surfaces given by a pair of ODEs are studied, and the volume of geodesic balls is treated. An introduction to both holomorphic and Kähler geometry is given. In Chapter 5, the basic properties of de Rham cohomology are discussed, the Hodge Decomposition Theorem, Poincaré duality, and the Künneth formula are proved, and a brief introduction to the theory of characteristic classes is given. In Chapter 6, Lie groups and Lie algebras are dealt with. The exponential map, the classical groups, and geodesics in the context of a bi-invariant metric are discussed. The de Rham cohomology of compact Lie groups and the Peter--Weyl Theorem are treated. In Chapter 7, material concerning homogeneous spaces and symmetric spaces is presented. Book II concludes in Chapter 8 where the relationship between simplicial cohomology, singular cohomology, sheaf cohomology, and de Rham cohomology is established. We have given some different proofs than those that are classically given and there is some new material in these volumes. For example, the treatment of the total curvature and length of curves given by a single ODE is new as is the discussion of the total Gaussian curvature of a surface defined by a pair of ODEs.
Essentials Of Geometry Ii
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Author :
language : en
Publisher: Research & Education Assoc.
Release Date :
Essentials Of Geometry Ii written by and has been published by Research & Education Assoc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Geometry categories.
Annotation. REAs Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Geometry I includes methods of proof, points, lines, planes, angles, congruent angles and line segments, triangles, parallelism, quadrilaterals, geometric inequalities, and geometric proportions and similarity. Annotation. Includes methods of proof, points, lines, planes, angles, congruentangles and line segments, triangles, parallelism, quadrilaterals, geometric inequalities, and geometric proportions and similarity.
Surveys In Geometry Ii
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Author : Athanase Papadopoulos
language : en
Publisher: Springer Nature
Release Date :
Surveys In Geometry Ii written by Athanase Papadopoulos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Geometry Ii
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Author : Marcel Berger
language : en
Publisher:
Release Date : 1987
Geometry Ii written by Marcel Berger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Geometry categories.
This is the second part of the 2-volume textbook Geometry which provides a very readable and lively presentation of large parts of geometry in the classical sense. An attractive characteristic of the book is that it appeals systematically to the reader's intuition and vision, and illustrates the mathematical text with many figures. For each topic the author presents a theorem that is esthetically pleasing and easily stated - although the proof of the same theorem may be quite hard and concealed. Many open problems and references to modern literature are given. Yet another strong trait of the book is that it provides a comprehensive and unified reference source for the field of geometry in the full breadth of its subfields and ramifications.
Faces Of Geometry
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Author : Paola Magnaghi-Delfino
language : en
Publisher: Springer Nature
Release Date : 2021-04-03
Faces Of Geometry written by Paola Magnaghi-Delfino and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-03 with Mathematics categories.
The volume reports on interdisciplinary discussions and interactions between theoretical research and practical studies on geometric structures and their applications in architecture, the arts, design, education, engineering, and mathematics. These related fields of research can enrich each other and renew their mutual interest in these topics through networks of shared inspiration, and can ultimately enhance the quality of geometry and graphics education. Particular attention is dedicated to the contributions that women have made to the scientific community and especially mathematics. The book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.
Algebraic Geometry Ii
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Author : I.R. Shafarevich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22
Algebraic Geometry Ii written by I.R. Shafarevich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Mathematics categories.
This two-part volume contains numerous examples and insights on various topics. The authors have taken pains to present the material rigorously and coherently. This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.
Lectures On Algebraic Geometry Ii
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Author : Günter Harder
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-21
Lectures On Algebraic Geometry Ii written by Günter Harder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
Homotopical Algebraic Geometry Ii Geometric Stacks And Applications
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Author : Bertrand Toen
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Homotopical Algebraic Geometry Ii Geometric Stacks And Applications written by Bertrand Toen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Algebra, Homological categories.
This is the second part of a series of papers called "HAG", devoted to developing the foundations of homotopical algebraic geometry. The authors start by defining and studying generalizations of standard notions of linear algebra in an abstract monoidal model category, such as derivations, étale and smooth morphisms, flat and projective modules, etc. They then use their theory of stacks over model categories to define a general notion of geometric stack over a base symmetric monoidal model category $C$, and prove that this notion satisfies the expected properties.