Explore tips, opinions, and features on Differential Geometry of Curves and sold at 38.46 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
This book is a posthumous publication of a classic by Prof Shoshichi Kobayashi who taught at UC Berkeley for 50 years recently translated by Eriko Shinozaki Nagumo and Makiko Sumi Tanaka There are five chapters 1 Plane Curves and Space Curves 2 Local Theory of Surfaces in Space 3 Geometry of Surfaces 4 GaussBonnet Theorem and 5 Minimal Surfaces Chapter 1 discusses local and global properties of planar curves and curves in space Chapter 2 deals with local properties of surfaces in 3dimensional Euclidean space Two types of curvatures the Gaussian curvature Knbspand the mean curvature H are introduced nbspThe method of the moving frames a standard technique in differential geometry is introduced in the context of a surface in 3dimensional Euclidean space nbspIn Chapter 3nbspthe Riemannian metric on a surface is introduced and properties determined only by the first fundamental form are discussed The concept of a geodesic introduced in Chapter 2 is extensively discussed and several examples of geodesics are presented with illustrations Chapter 4 starts with a simple and elegant proof of Stokes theorem for a domainnbsp Then the GaussBonnet theorem the major topic of this book is discussed at great length The theorem is a most beautiful and deep result in differential geometry It yields anbsprelation between the integral of the Gaussian curvature over a given oriented closed surface S and the topology of S in terms of its Euler number χS Here again many illustrations are provided to facilitate the readers understanding Chapter 5 Minimal Surfaces requires some elementary knowledge of complex analysisnbsp However the author retained the introductory nature of this book and focused on detailed explanations of the examples of minimal surfaces given in Chapter 2nbsp
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Discover information, advice, and prices for Vitalsource Technologies Inc Differential sold for 77.99 $ , available in the Books & Magazines category; this product is sold by Textbooks.com and made by Vitalsource Technologies, Inc..
A digital copy of Differential Geometry Of Curves And Surfaces by Banchoff Download is immediately available upon purchase
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Discover information, advice, and prices for Differential Geometry of Curves and sold for 66.57 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
This is a Brandnew US Edition This Item may be shipped from US or any other country as we have multiple locations worldwide
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Find tips, reviews, and features on Differential Geometry of Curves and sold for 23.47 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book that focuses on the geometric properties of curves and surfaces one and twodimensional objects in Euclidean space The problems generally relate to questions of local properties the properties observed at a point on the curve or surface or global properties the properties of the object as a whole Some of the more interesting theorems explore relationships between local and global properties A special feature is the availability of accompanying online interactive java applets coordinated with each section The applets allow students to investigate and manipulate curves and surfaces to develop intuition and to help analyze geometric phenomena
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Find tips, reviews, and features on Differential Geometry of Curves and sold for 98.39 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book that focuses on the geometric properties of curves and surfaces one and twodimensional objects in Euclidean space The problems generally relate to questions of local properties the properties observed at a point on the curve or surface or global properties the properties of the object as a whole Some of the more interesting theorems explore relationships between local and global properties A special feature is the availability of accompanying online interactive java applets coordinated with each section The applets allow students to investigate and manipulate curves and surfaces to develop intuition and to help analyze geometric phenomena
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Find tips, reviews, and features on Differential Geometry Curves Surfaces sold for 22.66 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in IR3 that arise in calculus Here we learn about line and surface integrals divergence and curl and the various forms of Stokes Theorem If we are fortunate we may encounter curvature and such things as the SerretFrenet formulas With just the basic tools from multivariable calculus plus a little knowledge of linear algebra it is possible to begin a much richer and rewarding study of differential geometry which is what is presented in this book It starts with an introduction to the classical differential geometry of curves and surfaces in Euclidean space then leads to an introduction to the Riemannian geometry of more general manifolds including a look at Einstein spaces An important bridge from the lowdimensional theory to the general case is provided by a chapter on the intrinsic geometry of surfaces The first half of the book covering the geometry of curves and surfaces would be suitable for a onesemester undergraduate course The local and global theories of curves and surfaces are presented including detailed discussions of surfaces of rotation ruled surfaces and minimal surfaces The second half of the book which could be used for a more advanced course begins with an introduction to differentiable manifolds Riemannian structures and the curvature tensor Two special topics are treated in detail spaces of constant curvature and Einstein spaces The main goal of the book is to get started in a fairly elementary way then to guide the reader toward more sophisticated concepts and more advanced topics There are many examples and exercises to help along the way Numerous figures help the reader visualize key concepts and examples especially in lower dimensions For the second edition a number of errors were corrected and some text and a number of figures have been added
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Discover information, advice, and prices for Differential Geometry of Curves and, priced at 71.57 $ : it belongs to the Books & Magazines category; this product is sold by Abebooks.com and made by .
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Discover information, advice, and prices for Differential Geometry of Curves and sold for 23.16 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
One of the most widely used texts in its field this volume introduces the differential geometry of curves and surfaces in both local and global aspects The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details Many examples and exercises enhance the clear wellwritten exposition along with hints and answers to some of the problemsThe treatment begins with a chapter on curves followed by explorations of regular surfaces the geometry of the Gauss map the intrinsic geometry of surfaces and global differential geometry Suitable for advanced undergraduates and graduate students of mathematics this texts prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables For this second edition the author has corrected revised and updated the entire volume
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Discover information, advice, and prices for Differential Geometry of Curves and sold for 54.88 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
This book is a posthumous publication of a classic by Prof Shoshichi Kobayashi who taught at UC Berkeley for 50 years recently translated by Eriko Shinozaki Nagumo and Makiko Sumi Tanaka There are five chapters 1 Plane Curves and Space Curves 2 Local Theory of Surfaces in Space 3 Geometry of Surfaces 4 GaussBonnet Theorem and 5 Minimal Surfaces Chapter 1 discusses local and global properties of planar curves and curves in space Chapter 2 deals with local properties of surfaces in 3dimensional Euclidean space Two types of curvatures the Gaussian curvature Knbspand the mean curvature H are introduced nbspThe method of the moving frames a standard technique in differential geometry is introduced in the context of a surface in 3dimensional Euclidean space nbspIn Chapter 3nbspthe Riemannian metric on a surface is introduced and properties determined only by the first fundamental form are discussed The concept of a geodesic introduced in Chapter 2 is extensively discussed and several examples of geodesics are presented with illustrations Chapter 4 starts with a simple and elegant proof of Stokes theorem for a domainnbsp Then the GaussBonnet theorem the major topic of this book is discussed at great length The theorem is a most beautiful and deep result in differential geometry It yields anbsprelation between the integral of the Gaussian curvature over a given oriented closed surface S and the topology of S in terms of its Euler number χS Here again many illustrations are provided to facilitate the readers understanding Chapter 5 Minimal Surfaces requires some elementary knowledge of complex analysisnbsp However the author retained the introductory nature of this book and focused on detailed explanations of the examples of minimal surfaces given in Chapter 2nbsp
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Find tips, reviews, and features on Differential Geometry of Curves and sold for 33.65 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
This volume covers local as well as global differential geometry of curves and surfaces
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Explore tips, opinions, and features on Differential Geometry of Curves and sold at 249.37 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
This volume covers local as well as global differential geometry of curves and surfaces
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Explore tips, opinions, and features on Differential Geometry Curves Surfaces sold at 50 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
This carefully written book is an introduction to the beautiful ideas and results of differential geometry The first half covers the geometry of curves and surfaces which provide much of the motivation and intuition for the general theory The second part studies the geometry of general manifolds with particular emphasis on connections and curvature The text is illustrated with many figures and examples The prerequisites are undergraduate analysis and linear algebra This new edition provides many advancements including more figures and exercises andas a new featurea good number of solutions to selected exercises
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Explore tips, opinions, and features on Differential Geometry of Curves and sold at 28.89 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
One of the most widely used texts in its field this volume introduces the differential geometry of curves and surfaces in both local and global aspects The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details Many examples and exercises enhance the clear wellwritten exposition along with hints and answers to some of the problemsThe treatment begins with a chapter on curves followed by explorations of regular surfaces the geometry of the Gauss map the intrinsic geometry of surfaces and global differential geometry Suitable for advanced undergraduates and graduate students of mathematics this texts prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables For this second edition the author has corrected revised and updated the entire volume
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Discover information, advice, and prices for Differential Geometry Curves Surfaces sold for 251 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in IR3 that arise in calculus Here we learn about line and surface integrals divergence and curl and the various forms of Stokes Theorem If we are fortunate we may encounter curvature and such things as the SerretFrenet formulas With just the basic tools from multivariable calculus plus a little knowledge of linear algebra it is possible to begin a much richer and rewarding study of differential geometry which is what is presented in this book It starts with an introduction to the classical differential geometry of curves and surfaces in Euclidean space then leads to an introduction to the Riemannian geometry of more general manifolds including a look at Einstein spaces An important bridge from the lowdimensional theory to the general case is provided by a chapter on the intrinsic geometry of surfaces The first half of the book covering the geometry of curves and surfaces would be suitable for a onesemester undergraduate course The local and global theories of curves and surfaces are presented including detailed discussions of surfaces of rotation ruled surfaces and minimal surfaces The second half of the book which could be used for a more advanced course begins with an introduction to differentiable manifolds Riemannian structures and the curvature tensor Two special topics are treated in detail spaces of constant curvature and Einstein spaces The main goal of the book is to get started in a fairly elementary way then to guide the reader toward more sophisticated concepts and more advanced topics There are many examples and exercises to help along the way Numerous figures help the reader visualize key concepts and examples especially in lower dimensions For the second edition a number of errors were corrected and some text and a number of figures have been added
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Explore tips, opinions, and features on Differential Geometry of Curves and sold at 73.92 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
Good condition This is the average used book that has all pages or leaves present but may include writing Book may be exlibrary with stamps and stickers 158
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Discover information, advice, and prices for Differential Geometry of Curves and sold for 44.65 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
Centralnbsptopics covered include curves surfaces geodesics intrinsic geometry and the Alexandrov global angle comparision theorem Many nontrivial and original problems some with hints and solutions Standard theoretical material is combined with more difficult theorems and complex problems while maintaining a clear distinction between the two levels
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Explore tips, opinions, and features on Differential Geometry of Curves and sold at 59.87 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
Item in good condition and has highlightingwriting on text Used texts may not contain supplemental items such as CDs infotrac etc
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Explore tips, opinions, and features on Differential Geometry Curves Surfaces sold at 85 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
This carefully written book is an introduction to the beautiful ideas and results of differential geometry The first half covers the geometry of curves and surfaces which provide much of the motivation and intuition for the general theory The second part studies the geometry of general manifolds with particular emphasis on connections and curvature The text is illustrated with many figures and examples The prerequisites are undergraduate analysis and linear algebra This new edition provides many advancements including more figures and exercises andas a new featurea good number of solutions to selected exercises
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Find tips, reviews, and features on Modern Differential Geometry of Curves sold for 25.47 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
Modern Differential Geometry of Curves and Surfaces is the first advanced textreference to explain the mathematics of curves and surfaces and describe how to draw the pictures illustrating them using Mathematica You learn not only the classical concepts ideas and methods of differential geometry but also how to define construct and compute standard functions You also learn how to create new curves and surfaces from old ones The book is superb for classroom use and selfstudy Material is presented clearly using over 150 exercises 175 Mathematica programs and 225 geometric figures to thoroughly develop the topics presented A brief tutorial explaining how to use Mathematica in differential geometry is included as well This textreference is excellent for all mathematicians scientists and engineers who use differential geometric methods and investigate geometrical structures
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Discover information, advice, and prices for Modern Differential Geometry of Curves sold for 22.92 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
Modern Differential Geometry of Curves and Surfaces is the first advanced textreference to explain the mathematics of curves and surfaces and describe how to draw the pictures illustrating them using Mathematica You learn not only the classical concepts ideas and methods of differential geometry but also how to define construct and compute standard functions You also learn how to create new curves and surfaces from old ones The book is superb for classroom use and selfstudy Material is presented clearly using over 150 exercises 175 Mathematica programs and 225 geometric figures to thoroughly develop the topics presented A brief tutorial explaining how to use Mathematica in differential geometry is included as well This textreference is excellent for all mathematicians scientists and engineers who use differential geometric methods and investigate geometrical structures
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