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Elementary Differential Geometry
ISBN: 9780120887354 / Angielski / Twarda / 503 str. Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition, provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis was placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. This revision of the Second... Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, R... 

cena:
387,27 zł 
Geometry of Manifolds
ISBN: 9780126401707 / Angielski / Twarda / 517 str. This volume contains the papers presented at a symposium on differential geometry at Shinshu University in July of 1988. Carefully reviewed by a panel of experts, the papers pertain to the following areas of research: dynamical systems, geometry of submanifolds and tensor geometry, lie sphere geometry, Riemannian geometry, YangMills Connections, and geometry of the Laplace operator.
This volume contains the papers presented at a symposium on differential geometry at Shinshu University in July of 1988. Carefully reviewed by a panel...


cena:
514,33 zł 
Riemannian Geometry
ISBN: 9780198514923 / Angielski / Miękka / 336 str. Recent developments in the field of differential geometry have been so extensive that a new book with particular emphasis on current work in Riemannian geometry is clearly necessary. This new text brilliantly serves that purpose and includes an elementary account of twistor spaces that will interest both applied mathematicians and physicists. It presents recent developments in the theory of harmonic spaces, commutative spaces, and meanvalue theorems previously only available in the source literature. The final chapter provides the only account available in book form of manifolds known as...
Recent developments in the field of differential geometry have been so extensive that a new book with particular emphasis on current work in Riemannia...


cena:
584,01 zł 
Exterior Differential Systems and EulerLagrange Partial Differential Equations
ISBN: 9780226077932 / Angielski / Twarda / 216 str. In Exterior Differential Systems, the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and PoincareCartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study, because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on...
In Exterior Differential Systems, the authors present the results of their ongoing development of a theory of the geometry of differential equations, ...


cena:
247,66 zł 
Geometry of Nonpositively Curved Manifolds Geometry of Nonpositively Curved Manifolds Geometry of Nonpositively Curved Manifolds
ISBN: 9780226181981 / Angielski / Miękka / 456 str. Starting from the foundations, the author presents an almost entirely
selfcontained treatment of differentiable spaces of nonpositive curvature, focusing on the symmetric spaces in which every geodesic lies in a flat Euclidean space of dimension at least two. The book builds to a discussion of the Mostow Rigidity Theorem and its generalizations, and concludes by exploring the relationship in nonpositively curved spaces between geometric and algebraic properties of the fundamental group. This introduction to the geometry of symmetric spaces of noncompact type will... Starting from the foundations, the author presents an almost entirely
selfcontained treatment of differentiable spaces of nonpositive curvature... 

cena:
514,38 zł 
Differential Geometry and Topology
ISBN: 9780306109959 / Angielski / Twarda / 324 str. 

cena:
1006,49 zł 
Metric Structures in Differential Geometry
ISBN: 9780387204307 / Angielski / Twarda / 229 str. This text is an elementary introduction to differential geometry. Although it was written for a graduatelevel audience, the only requisite is a solid back ground in calculus, linear algebra, and basic pointset topology. The first chapter covers the fundamentals of differentiable manifolds that are the bread and butter of differential geometry. All the usual topics are cov ered, culminating in Stokes' theorem together with some applications. The stu dents' first contact with the subject can be overwhelming because of the wealth of abstract definitions involved, so examples have been...
This text is an elementary introduction to differential geometry. Although it was written for a graduatelevel audience, the only requisite is a solid...


cena:
369,98 zł 
NonEuclidean Geometries: Jnos Bolyai Memorial Volume
ISBN: 9780387295541 / Angielski / Twarda / 506 str. "From nothing I have created a new different world," wrote Janos Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of nonEuclidean geometry, as we call it today. The results of Bolyai and the codiscoverer, the Russian Lobachevskii, changed the course of mathematics, opened the way for modern physical theories of the twentieth century, and had an impact on the history of human culture. The papers in this volume, which commemorates the 200th anniversary of the birth of Janos Bolyai, were written by leading scientists of nonEuclidean geometry,... "From nothing I have created a new different world," wrote Janos Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his dis... 

cena:
779,16 zł 
Differential Geometry of Varieties with Degenerate Gauss Maps
ISBN: 9780387404639 / Angielski / Twarda / 255 str. In this book the authors study the differential geometry of varieties with degenerate Gauss maps. They use the main methods of differential geometry, namely, the methods of moving frames and exterior differential forms as well as tensor methods. By means of these methods, the authors discover the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps. The authors introduce the above mentioned methods and apply them to a series of concrete... In this book the authors study the differential geometry of varieties with degenerate Gauss maps. They use the main methods of differential geometr... 

cena:
324,51 zł 
Semiparallel Submanifolds in Space Forms
ISBN: 9780387499116 / Angielski / Twarda / 306 str. Quite simply, this book offers the most comprehensive survey to date of the theory of semiparallel submanifolds. It begins with the necessary background material, detailing symmetric and semisymmetric Riemannian manifolds, smooth manifolds in space forms, and parallel submanifolds. The book then introduces semiparallel submanifolds and gives some characterizations for their class as well as several subclasses. The coverage moves on to discuss the concept of main symmetric orbit and presents all known results concerning umbiliclike main symmetric orbits. With more than 40 published papers... Quite simply, this book offers the most comprehensive survey to date of the theory of semiparallel submanifolds. It begins with the necessary backg... 

cena:
506,37 zł 
Lie Sphere Geometry: With Applications to Submanifolds
ISBN: 9780387746555 / Angielski / Miękka / 208 str. Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applications to the study of Euclidean submanifolds. It begins with the construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres, and Lie sphere transformations. This new edition contains revised sections on taut submanifolds, compact proper Dupin submanifolds, reducible Dupin submanifolds, and the cyclides of Dupin. Completely new material on... Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of t... 

cena:
324,51 zł 
A Hilbert Space Problem Book
ISBN: 9780387906850 / Angielski / Twarda / 373 str. From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem.... This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed... From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivat... 

cena:
347,25 zł 
SpaceFilling Curves
ISBN: 9780387942650 / Angielski / Miękka / 194 str. The subject of spacefilling curves has fascinated mathematicians for over a century and has intrigued many generations of students of mathematics. Working in this area is like skating on the edge of reason. Unfortunately, no comprehensive treatment has ever been attempted other than the gallant effort by W. Sierpiriski in 1912. At that time, the subject was still in its infancy and the most interesting and perplexing results were still to come. Besides, Sierpiriski's paper was written in Polish and published in a journal that is not readily accessible (Sierpiriski 2]). Most of the early...
The subject of spacefilling curves has fascinated mathematicians for over a century and has intrigued many generations of students of mathematics. Wo...


cena:
256,32 zł 
Differential and Riemannian Manifolds
ISBN: 9780387943381 / Angielski / Twarda / 364 str. This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons. I expanded the book in 1971, and I expand it still further today. Specifically, I have added three chapters on Riemannian and pseudo Riemannian geometry, that is, covariant derivatives, curvature, and some applications up to the HopfRinow and HadamardCartan theorems, as well as some calculus of variations and...
This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period o...


cena:
347,25 zł 
The Statistical Theory of Shape
ISBN: 9780387947297 / Angielski / Twarda / 230 str. In general terms, the shape of an object, data set, or image can be de fined as the total of all information that is invariant under translations, rotations, and isotropic rescalings. Thus two objects can be said to have the same shape if they are similar in the sense of Euclidean geometry. For example, all equilateral triangles have the same shape, and so do all cubes. In applications, bodies rarely have exactly the same shape within measure ment error. In such cases the variation in shape can often be the subject of statistical analysis. The last decade has seen a considerable growth in...
In general terms, the shape of an object, data set, or image can be de fined as the total of all information that is invariant under translations, rot...


cena:
597,30 zł 
Differential Geometry: Cartan's Generalization of Klein's Erlangen Program
ISBN: 9780387947327 / Angielski / Twarda / 426 str. Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections. Although the author had in mind a book accessible to graduate students, potential readers would also include working differential geometers who would like to know more about what Cartan did, which was to give a notion of "espaces generalises" (= Cartan geometries)...
Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beaut...


cena:
278,86 zł 
Finite Mbius Groups, Minimal Immersions of Spheres, and Moduli
ISBN: 9780387953236 / Angielski / Twarda / 319 str. In this book, the author traces the development of the study of spherical minimal immersions over the past 30 plus years. In trying to make this monograph accessible not just to research mathematicians but mathematics graduate students as well, the author included sizeable pieces of material from upper level undergraduate courses, additional graduate level topics such as Felix Kleins classic treatise of the icosahedron, and a valuable selection of exercises at the end of each chapter.
In this book, the author traces the development of the study of spherical minimal immersions over the past 30 plus years. In trying to make this monog...


cena:
506,37 zł 
Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces
ISBN: 9780387966267 / Angielski / Twarda / 476 str. This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat enlarged version of the 1972 book Geometrie Differentielle. The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in threespace, an omission all the more unforgivable in that surfaces are some of the most common geometrical objects, not only in mathematics but in many branches of physics. Geometrie Differentielle was based on a course I taught in Paris in 1969 70 and...
This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat e...


cena:
369,98 zł 
Modern Geometry  Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields
ISBN: 9780387976631 / Angielski / Twarda / 470 str. This is the first volume of a threevolume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This material is explained in as simple and concrete a language as possible, in a terminology acceptable to physicists. The text for the second edition has been substantially revised.
This is the first volume of a threevolume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretica...


cena:
272,96 zł 
Geometry of Surfaces
ISBN: 9780387977430 / Angielski / Miękka / 236 str. Geometry used to be the basis of a mathematical education; today it is not even a standard undergraduate topic. Much as I deplore this situation, I welcome the opportunity to make a fresh start. Classical geometry is no longer an adequate basis for mathematics or physicsboth of which are becoming increasingly geometricand geometry can no longer be divorced from algebra, topology, and analysis. Students need a geometry of greater scope, and the fact that there is no room for geometry in the curriculum un til the third or fourth year at least allows us to assume some mathematical background....
Geometry used to be the basis of a mathematical education; today it is not even a standard undergraduate topic. Much as I deplore this situation, I we...


cena:
233,58 zł 