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Lie Sphere Geometry: With Applications to Submanifolds
ISBN: 9780387746555 / Angielski / Miękka / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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... |
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282,42 zł |
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A Hilbert Space Problem Book
ISBN: 9780387906850 / Angielski / Twarda / 373 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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... |
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342,95 zł |
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Space-Filling Curves
ISBN: 9780387942650 / Angielski / Miękka / 194 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The subject of space-filling 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 space-filling curves has fascinated mathematicians for over a century and has intrigued many generations of students of mathematics. Wo...
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cena:
302,60 zł |
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Differential and Riemannian Manifolds
ISBN: 9780387943381 / Angielski / Twarda / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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 Hopf-Rinow and Hadamard-Cartan 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...
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cena:
342,95 zł |
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The Statistical Theory of Shape
ISBN: 9780387947297 / Angielski / Twarda / 230 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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...
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cena:
403,47 zł |
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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program
ISBN: 9780387947327 / Angielski / Twarda / 426 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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...
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cena:
241,91 zł |
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Finite Möbius Groups, Minimal Immersions of Spheres, and Moduli
ISBN: 9780387953236 / Angielski / Twarda / 319 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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...
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cena:
403,47 zł |
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Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces
ISBN: 9780387966267 / Angielski / Twarda / 476 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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 three-space, 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...
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cena:
363,12 zł |
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Modern Geometry — Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields
ISBN: 9780387976631 / Angielski / Twarda / 470 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first volume of a three-volume 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 three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretica...
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cena:
241,91 zł |
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Geometry of Surfaces
ISBN: 9780387977430 / Angielski / Miękka / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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 physics-both of which are becoming increasingly geometric-and 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...
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cena:
242,07 zł |
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Riemannian Manifolds: An Introduction to Curvature
ISBN: 9780387982717 / Angielski / Twarda / 226 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Thisbookisdesignedasatextbookforaone-quarterorone-semestergr- uate course on Riemannian geometry, for students who are familiar with topological and di?erentiable manifolds. It focuses on developing an in- mate acquaintance with the geometric meaning of curvature. In so doing, it introduces and demonstrates the uses of all the main technical tools needed for a careful study of Riemannian manifolds. I have selected a set of topics that can reasonably be covered in ten to ?fteen weeks, instead of making any attempt to provide an encyclopedic treatment of the subject. The book begins with a...
Thisbookisdesignedasatextbookforaone-quarterorone-semestergr- uate course on Riemannian geometry, for students who are familiar with topological and d...
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cena:
254,02 zł |
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Fundamentals of Differential Geometry
ISBN: 9780387985930 / Angielski / Twarda / 540 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises. From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books." --EMS NEWSLETTER This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of t... |
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403,47 zł |
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A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces
ISBN: 9780415298025 / Angielski / Twarda / 440 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian.
Alexandrov's treatise begins with an outline of the basic concepts, definitions, and results relevant to intrinsic geometry. It reviews the general theory, then presents the requisite general theorems on rectifiable curves and curves of minimum length. Proof of some of the general properties of the intrinsic metric of convex surfaces... A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily f...
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cena:
926,78 zł |
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Handbook of Differential Geometry
ISBN: 9780444520524 / Angielski / Twarda / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry,...
In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field o...
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cena:
1034,09 zł |
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Handbook of Differential Geometry, Volume 1
ISBN: 9780444822406 / Angielski / Twarda / 1054 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.
In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differen...
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cena:
853,61 zł |
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Analysis on Real and Complex Manifolds: Volume 35
ISBN: 9780444877765 / Angielski / Twarda / 245 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincare and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander.... Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem ... |
cena:
243,84 zł |
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Projective Differential Geometry of Submanifolds: Volume 49
ISBN: 9780444897718 / Angielski / Twarda / 361 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal bundle) and the problem of algebraizability for different kinds of submanifolds, the geometry of hypersurfaces and hyperbands, etc. A series of special types of submanifolds with special projective structures are...
In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating space...
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cena:
969,36 zł |
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Conformal Differential Geometry and Its Generalizations
ISBN: 9780471149583 / Angielski / Twarda / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Conformal differential geometry plays an important role in many areas of differential geometry and other fields of mathematics. Since the late 1800s, various developments in this field have occurred. The main notions discussed in the book include the importance of surfaces with isometric or spherical curvature lines, canal surfaces, congruence of circles, and three-orthogonal systems of surface.
Conformal differential geometry plays an important role in many areas of differential geometry and other fields of mathematics. Since the late 1800s, ...
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cena:
1021,51 zł |
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Foundations of Differential Geometry, Volume 2
ISBN: 9780471157328 / Angielski / Miękka / 488 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This two-volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area of study that has become vital to contemporary mathematics. It is completely self-contained and will serve as a reference as well as a teaching guide. Volume 1 presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems on geodesics...
This two-volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area ...
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cena:
805,86 zł |
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Foundations of Differential Geometry, Volume 1
ISBN: 9780471157335 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This two-volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area of study that has become vital to contemporary mathematics. It is completely self-contained and will serve as a reference as well as a teaching guide. Volume 1 presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems on geodesics...
This two-volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area ...
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cena:
805,86 zł |
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