A First Course in Differential Geometry
ISBN: 9780367451875 / Miękka / 188 str. Termin realizacji zamówienia: ok. 18 dni roboczych. This book proposes a new approach which is designed to serve as an introductory course in differential geometry for advanced undergraduate students. It is based on lectures given by the author at several universities, and discusses calculus, topology, and linear algebra.
This book proposes a new approach which is designed to serve as an introductory course in differential geometry for advanced undergraduate students. I...


cena:
270,38 zł 
Manifolds and differential geometry
ISBN: 9780821848159 / Twarda / 675 str. Termin realizacji zamówienia: ok. 22 dni roboczych. Differential geometry began as the study of curves and surfaces using the methods of calculus. In time, the notions of curve and surface were generalized along with associated notions such as length, volume, and curvature. At the same time the topic has become closely allied with developments in topology. The basic object is a smooth manifold, to which some extra structure has been attached, such as a Riemannian metric, a symplectic form, a distinguished group of symmetries, or a connection on the tangent bundle. This book is a graduatelevel introduction to the tools and structures of modern...
Differential geometry began as the study of curves and surfaces using the methods of calculus. In time, the notions of curve and surface were generali...


cena:
485,40 zł 
Differential Geometry and Kinematics of Continua
ISBN: 9789814616034 / Twarda / 182 str. Termin realizacji zamówienia: ok. 22 dni roboczych. This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest are anholonomic aspects arising from a multiplicative decomposition of the deformation gradient into two terms, neither of which in isolation necessarily obeys the integrability conditions satisfied by the gradient of a smooth vector field. The concise format emphasizes clarity and ease of reference, and detailed...
This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechani...


cena:
351,62 zł 
Elementary Differential Geometry
ISBN: 9780120887354 / Angielski / Twarda / 503 str. Termin realizacji zamówienia: ok. 20 dni roboczych. 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:
378,49 zł 
Geometry of Manifolds
ISBN: 9780126401707 / Angielski / Twarda / 517 str. Termin realizacji zamówienia: ok. 20 dni roboczych. 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:
502,28 zł 
Riemannian Geometry
ISBN: 9780198514923 / Angielski / Miękka / 336 str. Termin realizacji zamówienia: ok. 22 dni roboczych. 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:
557,13 zł 
Exterior Differential Systems and EulerLagrange Partial Differential Equations
ISBN: 9780226077932 / Angielski / Twarda / 216 str. Termin realizacji zamówienia: ok. 812 dni roboczych. 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:
242,33 zł 
Geometry of Nonpositively Curved Manifolds Geometry of Nonpositively Curved Manifolds Geometry of Nonpositively Curved Manifolds
ISBN: 9780226181981 / Angielski / Miękka / 456 str. Termin realizacji zamówienia: ok. 812 dni roboczych. 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:
502,16 zł 
Differential Geometry of Varieties with Degenerate Gauss Maps
ISBN: 9780387404639 / Angielski / Twarda / 255 str. Termin realizacji zamówienia: ok. 22 dni roboczych. 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:
333,65 zł 
Semiparallel Submanifolds in Space Forms : Envelopes of Symmetric Orbits
ISBN: 9780387499116 / Angielski / Twarda / 306 str. Termin realizacji zamówienia: ok. 22 dni roboczych. 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:
520,13 zł 
SpaceFilling Curves
ISBN: 9780387942650 / Angielski / Miękka / 194 str. Termin realizacji zamówienia: ok. 22 dni roboczych. 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:
263,72 zł 
Differential and Riemannian Manifolds
ISBN: 9780387943381 / Angielski / Twarda / 364 str. Termin realizacji zamówienia: ok. 22 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 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:
356,96 zł 
Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces
ISBN: 9780387966267 / Angielski / Twarda / 476 str. Termin realizacji zamówienia: ok. 22 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 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:
380,27 zł 
A.D. Alexandrov Selected Works: Selected Scientific Papers/Intrinsic Geometry of Convex Surfaces
ISBN: 9780415298018 / Angielski Termin realizacji zamówienia: ok. 18 dni roboczych. Alexandr Danilovich Alexandrov has been called a giant of 20thcentury mathematics. This volume contains some of the most important papers by this renowned geometer and hence, some of his most influential ideas. Alexandrov addressed a wide range of modern mathematical problems, and he did so with intelligence and elegance, solving some of the discipline's most difficult and enduring challenges. He was the first to apply many of the tools and methods of the theory of real functions and functional analysis that are now current in geometry. The topics here include convex polyhedrons and closed...
Alexandr Danilovich Alexandrov has been called a giant of 20thcentury mathematics. This volume contains some of the most important papers by this ren...


cena:
1519,35 zł 
A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces
ISBN: 9780415298025 / Angielski / Twarda / 440 str. Termin realizacji zamówienia: ok. 18 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 masterpiecenow 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...


cena:
833,67 zł 
Handbook of Differential Geometry, Volume 1
ISBN: 9780444822406 / Angielski / Twarda / 1054 str. Termin realizacji zamówienia: ok. 20 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...


cena:
909,56 zł 
Analysis on Real and Complex Manifolds
ISBN: 9780444877765 / Angielski / Twarda / 245 str. Termin realizacji zamówienia: ok. 20 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:
265,07 zł 
Projective Differential Geometry of Submanifolds
ISBN: 9780444897718 / Angielski / Twarda / 361 str. Termin realizacji zamówienia: ok. 20 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...


cena:
265,07 zł 
Conformal Differential Geometry and its Generalizations
ISBN: 9780471149583 / Angielski / Twarda / 400 str. Termin realizacji zamówienia: ok. 812 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 threeorthogonal 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, ...


cena:
840,88 zł 
Foundations of Differential Geometry, Volume 2
ISBN: 9780471157328 / Angielski / Miękka / 488 str. Termin realizacji zamówienia: ok. 812 dni roboczych. This twovolume 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 selfcontained 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 twovolume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area ...


cena:
692,40 zł 