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The Heat Kernel Lefschetz Fixed Point Formula for the Spin-C Dirac Operator
ISBN: 9781461253464 / Angielski / Miękka / 247 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. When visiting M.I.T. for two weeks in October 1994, Victor Guillemin made me enthusiastic about a problem in symplectic geometry which involved the use of the so-called spin-c Dirac operator. Back in Berkeley, where I had l spent a sabbatical semester, I tried to understand the basic facts about this operator: its definition, the main theorems about it, and their proofs. This book is an outgrowth of the notes in which I worked this out. For me this was a great learning experience because of the many beautiful mathematical structures which are involved. I thank the Editorial Board of...
When visiting M.I.T. for two weeks in October 1994, Victor Guillemin made me enthusiastic about a problem in symplectic geometry which involved the us...
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201,24 |
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Geometry of Harmonic Maps
ISBN: 9781461286448 / Angielski / Miękka / 246 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as geodesics, minimal surfaces and harmonic functions. Harmonic maps are also closely related to holomorphic maps in several complex variables, to the theory of stochastic processes, to nonlinear field theory in theoretical physics, and to the theory of liquid crystals in materials science. During the past thirty years this subject has been developed extensively. The monograph is by no means intended to give a complete description of the theory of...
Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as...
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402,53 |
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Clifford (Geometric) Algebras: With Applications to Physics, Mathematics, and Engineering
ISBN: 9781461286547 / Angielski / Miękka / 517 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is an outgrowth of the 1995 Summer School on Theoretical Physics of the Canadian Association of Physicists (CAP), held in Banff, Alberta, in the Canadian Rockies, from July 30 to August 12,1995. The chapters, based on lectures given at the School, are designed to be tutorial in nature, and many include exercises to assist the learning process. Most lecturers gave three or four fifty-minute lectures aimed at relative novices in the field. More emphasis is therefore placed on pedagogy and establishing comprehension than on erudition and superior scholarship. Of course, new and...
This volume is an outgrowth of the 1995 Summer School on Theoretical Physics of the Canadian Association of Physicists (CAP), held in Banff, Alberta, ...
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cena:
603,81 |
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Invariants of Quadratic Differential Forms
ISBN: 9780486497686 / Angielski / Miękka / 96 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This classic monograph by a mathematician affiliated with Trinity College, Cambridge, offers a brief account of the invariant theory connected with a single quadratic differential form. Suitable for advanced undergraduates and graduate students of mathematics, it avoids unnecessary analysis and offers an accessible view of the field for readers unfamiliar with the subject.
A historical overview is followed by considerations of the methods of Christoffel and Lie as well as Maschke's symbolic method and explorations of geometrical and dynamical methods. The final chapter on applications,... This classic monograph by a mathematician affiliated with Trinity College, Cambridge, offers a brief account of the invariant theory connected with a ...
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49,91 |
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Modern Geometry-- Methods and Applications: Part II: The Geometry and Topology of Manifolds
ISBN: 9781461270119 / Angielski / Miękka / 432 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to...
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects i...
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281,60 |
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Geodesic Convexity in Graphs
ISBN: 9781461486985 / Angielski / Miękka / 112 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively on the geodesic convexity, including motivation and background, specific definitions, discussion and examples, results, proofs, exercises and open problems. The main and most studied parameters involving geodesic convexity in graphs are both the geodetic...
Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simp...
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221,37 |
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Minimal Surfaces
ISBN: 9783642265273 / Angielski / Miękka / 692 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Minimal Surfaces is the first volume of a three volume treatise on minimal surfaces (Grundlehren Nr. 339-341). Each volume can be read and studied independently of the others. The central theme is boundary value problems for minimal surfaces. The treatise is a substantially revised and extended version of the monograph Minimal Surfaces I, II (Grundlehren Nr. 295 & 296). The first volume begins with an exposition of basic ideas of the theory of surfaces in three-dimensional Euclidean space, followed by an introduction of minimal surfaces as stationary points of area, or equivalently, as...
Minimal Surfaces is the first volume of a three volume treatise on minimal surfaces (Grundlehren Nr. 339-341). Each volume can be read and studied ind...
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cena:
563,56 |
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Lectures on the Theory of Group Properties of Differential Equations
ISBN: 9789814460811 / Angielski / Twarda / 156 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.
These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their a...
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cena:
210,60 |
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Analysis and Geometry of Markov Diffusion Operators
ISBN: 9783319002262 / Angielski / Twarda / 552 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincare, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution and partial differential equations. The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curva... |
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563,56 |
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Complex and Differential Geometry: Conference Held at Leibniz Universität Hannover, September 14 - 18, 2009
ISBN: 9783642269004 / Angielski / Miękka / 422 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains the Proceedings of the conference "Complex and Differential Geometry 2009", held at Leibniz Universitat Hannover, September 14 - 18, 2009. It was the aim of this conference to bring specialists from differential geometry and (complex) algebraic geometry together and to discuss new developments in and the interaction between these fields. Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry...
This volume contains the Proceedings of the conference "Complex and Differential Geometry 2009", held at Leibniz Universitat Hannover, September 14 - ...
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cena:
402,53 |
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Riemannian Foliations
ISBN: 9781468486728 / Angielski / Miękka / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an autonomous] differential equation is defined by a vector field X; if this vector field has no singularities, then its trajectories form a par- tition of M into curves, i.e. a foliation of codimension n - 1. More generally, a foliation F of codimension q on M corresponds to a partition of M into immersed submanifolds the leaves] of dimension, --------, - - . - -- p = n - q. The first global image that comes to mind is 1--------;- - - - - - that of a...
Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an autonomou...
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483,04 |
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Several Complex Variables V: Complex Analysis in Partial Differential Equations and Mathematical Physics
ISBN: 9783642634338 / Angielski / Miękka / 287 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this part, we present a survey of mean-periodicity phenomena which arise in connection with classical questions in complex analysis, partial differential equations, and more generally, convolution equations. A common feature of the problem we shall consider is the fact that their solutions depend on tech niques and ideas from complex analysis. One finds in this way a remarkable and fruitful interplay between mean-periodicity and complex analysis. This is exactly what this part will try to explore. It is probably appropriate to stress the classical flavor of all of our treat ment. Even...
In this part, we present a survey of mean-periodicity phenomena which arise in connection with classical questions in complex analysis, partial differ...
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342,14 |
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Schaum's Outline of Differential Geometry
ISBN: 9780070379855 / Angielski / Miękka / 288 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you
Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students ... |
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119,46 |
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An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised: Volume 120
ISBN: 9780121160517 / Angielski / Miękka / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject....
The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6,000 copies since publication...
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426,05 |
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Introduction to Nonlinear and Global Optimization
ISBN: 9780387886695 / Angielski / Twarda / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Nonlinear Optimization is an intriguing area of study where mathematical theory, algorithms and applications converge to calculate the optimal values of continuous functions. Within this subject, Global Optimization aims at finding global optima for difficult problems in which many local optima might exist. This book provides a compelling introduction to global and non-linear optimization providing interdisciplinary readers with a strong background to continue their studies into these and other related fields. The book offers insight in relevant concepts such as "region of... Nonlinear Optimization is an intriguing area of study where mathematical theory, algorithms and applications converge to calculate the optimal valu... |
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201,24 |
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Synthetic Geometry of Manifolds
ISBN: 9780521116732 / Angielski / Twarda / 302 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This elegant book is sure to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential geometry, namely prolongation spaces or neighborhoods of the diagonal. These spaces enable a natural description of some of the basic constructions in local differential geometry and, in fact, form an inviting gateway to differential geometry, and also to some differential-geometric notions that exist in algebraic geometry. The presentation conveys the real strength of this approach to differential geometry. Concepts are clarified, proofs are...
This elegant book is sure to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential ...
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cena:
539,90 |
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Geometric Analysis of Hyperbolic Differential Equations: An Introduction
ISBN: 9780521128223 / Angielski / Miękka / 118 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Its self-contained presentation and do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required."
Its self-contained presentation and do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recen...
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261,50 |
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Geometry from a Differentiable Viewpoint
ISBN: 9780521133111 / Angielski / Miękka / 368 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss, and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry, and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry...
The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss, and Riemann is a story that is often broken into parts - axiomatic geo...
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cena:
358,76 |
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Elementary Differential Geometry
ISBN: 9780521721493 / Angielski / Miękka / 330 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature,...
The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary intro...
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cena:
389,51 |
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Characteristic Classes. (Am-76), Volume 76
ISBN: 9780691081229 / Angielski / Miękka / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic... The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geo... |
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563,24 |
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