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Rational Homotopy Theory
ISBN: 9780387950686 / Angielski / Twarda / 539 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. as well as by the list of open problems in the final section of this monograph. The computational power of rational homotopy theory is due to the discovery by Quillen 135] and by Sullivan 144] of an explicit algebraic formulation. In each case the rational homotopy type of a topological space is the same as the isomorphism class of its algebraic model and the rational homotopy type of a continuous map is the same as the algebraic homotopy class of the correspond- ing morphism between models. These models make the rational homology and homotopy of a space transparent. They also (in...
as well as by the list of open problems in the final section of this monograph. The computational power of rational homotopy theory is due to the disc...
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385,52 zł |
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Lectures on Analysis on Metric Spaces
ISBN: 9780387951041 / Angielski / Twarda / 141 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Analysis in spaces with no a priori smooth structure has progressed to include concepts from the first order calculus. In particular, there have been important advances in understanding the infinitesimal versus global behavior of Lipschitz functions and quasiconformal mappings in rather general settings; abstract Sobolev space theories have been instrumental in this development. The purpose of this book is to communicate some of the recent work in the area while preparing the reader to study more substantial, related articles. The material can be roughly divided into three different types:...
Analysis in spaces with no a priori smooth structure has progressed to include concepts from the first order calculus. In particular, there have been ...
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308,41 zł |
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Intuitive Combinatorial Topology
ISBN: 9780387951140 / Angielski / Twarda / 142 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twistings, and stretchings, but not tearing. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. There is hardly an area of mathematics that does not make use of topological results and concepts. The importance of topological methods for different areas of physics is also beyond doubt. They are used in field theory and general...
Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twisting...
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212,02 zł |
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Algebraic Topology from a Homotopical Viewpoint
ISBN: 9780387954509 / Angielski / Twarda / 479 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology. The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully w... |
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385,52 zł |
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Introduction to Differentiable Manifolds
ISBN: 9780387954776 / Angielski / Twarda / 250 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains essential material that every graduate student must know. Written with Serge Lang's inimitable wit and clarity, the volume introduces the reader to manifolds, differential forms, Darboux's theorem, Frobenius, and all the central features of the foundations of differential geometry. Lang lays the basis for further study in geometric analysis, and provides a solid resource in the techniques of differential topology. The book will have a key position on my shelf. -Steven Krantz, Washington University in St. Louis This is an elementary, finite dimensional version of the...
This book contains essential material that every graduate student must know. Written with Serge Lang's inimitable wit and clarity, the volume introduc...
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327,68 zł |
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Fractals in Multimedia
ISBN: 9780387955216 / Angielski / Twarda / 270 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This IMA Volume in Mathematics and its Applications FRACTALS IN MULTIMEDIA is a result of a very successful three-day minisymposium on the same title. The event was an integral part of the IMA annual program on Mathemat ics in Multimedia, 2000-2001. We would like to thank Michael F. Barnsley (Department of Mathematics and Statistics, University of Melbourne), Di etmar Saupe (Institut fUr Informatik, UniversiUit Leipzig), and Edward R. Vrscay (Department of Applied Mathematics, University of Waterloo) for their excellent work as organizers of the meeting and for editing the proceedings. We...
This IMA Volume in Mathematics and its Applications FRACTALS IN MULTIMEDIA is a result of a very successful three-day minisymposium on the same title....
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578,30 zł |
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Modern Geometry-- Methods and Applications: Part II: The Geometry and Topology of Manifolds
ISBN: 9780387961620 / Angielski / Twarda / 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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269,70 zł |
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Topological and Uniform Spaces
ISBN: 9780387964669 / Angielski / Twarda / 164 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide an outline of both the topological theory and the uniform theory, with an emphasis on the relation between the two. Although I hope that the prospec- tive specialist may find it useful as an introduction it is the non-specialist I have had more in mind in selecting the contents. Thus I have tended to avoid the ingenious examples and counterexamples which often occupy much ofthe space in books on general topology, and I have tried to keep the...
This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide...
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192,74 zł |
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An Introduction to Algebraic Topology
ISBN: 9780387966786 / Angielski / Twarda / 437 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H. C. Whitehead. Of course, this is false, as a glance at the books of Hilton and Wylie, Maunder, Munkres, and Schubert reveals. Still, the canard does reflect some truth. Too often one finds too much generality and too little attention to details. There are two types of obstacle for the student learning algebraic topology. The first is the formidable array of new techniques (e. g., most students know very little homological algebra); the second...
There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H...
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242,71 zł |
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Manifolds, Tensor Analysis, and Applications
ISBN: 9780387967905 / Angielski / Twarda / 656 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid me- chanics, electromagnetism, plasma dynamics and control thcory arc given in Chapter 8, using both invariant and index notation. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory....
The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The...
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501,19 zł |
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Modern Geometry--Methods and Applications: Part III: Introduction to Homology Theory
ISBN: 9780387972718 / Angielski / Twarda / 418 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Over the past fifteen years, the geometrical and topological methods of the theory of manifolds have as- sumed a central role in the most advanced areas of pure and applied mathematics as well as theoretical physics. The three volumes of Modern Geometry - Methods and Applications contain a concrete exposition of these methods together with their main applications in mathematics and physics. This third volume, presented in highly accessible languages, concentrates in homology theory. It contains introductions to the contemporary methods for the calculation of homology groups and the...
Over the past fifteen years, the geometrical and topological methods of the theory of manifolds have as- sumed a central role in the most advanced are...
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308,41 zł |
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A Basic Course in Algebraic Topology
ISBN: 9780387974309 / Angielski / Twarda / 431 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The main purpose of this book is to give a systematic treatment of singular homology and cohomology theory. It is in some sense a sequel to the author's previous book in this Springer-Verlag series entitled Algebraic Topology: An Introduction. This earlier book is definitely not a logical prerequisite for the present volume. However, it would certainly be advantageous for a prospective reader to have an acquaintance with some of the topics treated in that earlier volume, such as 2-dimensional manifolds and the funda- mental group. Singular homology and cohomology theory has been the subject...
The main purpose of this book is to give a systematic treatment of singular homology and cohomology theory. It is in some sense a sequel to the author...
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327,68 zł |
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Fractals for the Classroom: Strategic Activities Volume Two
ISBN: 9780387975542 / Angielski / Miękka / 187 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The same factors that motivated the writing of our first volume of strategic activities on fractals continued to encourage the assembly of additional activities for this second volume. Fractals provide a setting wherein students can enjoy hands-on experiences that involve important mathematical content connected to a wide range of physical and social phenomena. The striking graphic images, unexpected geometric properties, and fascinating numerical processes offer unparalleled opportunity for enthusiastic student inquiry. Students sense the vigor present in the growing and highly integrative...
The same factors that motivated the writing of our first volume of strategic activities on fractals continued to encourage the assembly of additional ...
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192,74 zł |
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Fractals for the Classroom: Part Two: Complex Systems and Mandelbrot Set
ISBN: 9780387977225 / Angielski / Twarda / 500 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a...
Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of ind...
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cena:
192,74 zł |
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Modern Analysis and Topology
ISBN: 9780387979861 / Angielski / Miękka / 444 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. It is intended that the material be accessible to a reader of modest background. An advanced calculus course and an introductory topology course should be adequate. But it is also intended that this book be able to take the reader from that state to the frontiers of modern analysis and topology in-so-far as they can be done within the framework of uniform spaces. Modern analysis is usually developed in the setting of metric spaces although a great...
The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. It...
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192,74 zł |
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An Introduction to Knot Theory
ISBN: 9780387982540 / Angielski / Twarda / 204 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space. Knots can be studied at many levels and from many points of view. They can be admired as artifacts of the decorative arts and crafts, or viewed as accessible intimations of a geometrical sophistication that may never be attained. The study of knots can be given some motivation in terms of applications in molecular biology or by reference to paral- lels in equilibrium statistical mechanics or quantum field theory. Here, however, knot theory is...
This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space. Knots c...
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231,15 zł |
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The Arithmetic of Hyperbolic 3-Manifolds
ISBN: 9780387983868 / Angielski / Twarda / 467 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For the past 25 years, the Geometrization Program of Thurston has been a driving force for research in 3-manifold topology. This has inspired a surge of activity investigating hyperbolic 3-manifolds (and Kleinian groups), as these manifolds form the largest and least well-understood class of compact 3-manifolds. Familiar and new tools from diverse areas of mathematics have been utilized in these investigations, from topology, geometry, analysis, group theory, and from the point of view of this book, algebra and number theory. This book is aimed at readers already familiar with the basics of...
For the past 25 years, the Geometrization Program of Thurston has been a driving force for research in 3-manifold topology. This has inspired a surge ...
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308,41 zł |
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Fractals for the Classroom: Strategic Activities Volume Three
ISBN: 9780387984209 / Angielski / Miękka / 107 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Written by the award winning authors of Chaos and Fractals (0-387-97903-4), this work introduces the reader to iterated function systems through a lively, interactive approach. This well-written, clearly illustrated book explores the history and the unlimited potential of fractals, while developing a basic mathematical understanding and appreciation for the topics.
Written by the award winning authors of Chaos and Fractals (0-387-97903-4), this work introduces the reader to iterated function systems through a liv...
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192,74 zł |
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The Four-Color Theorem: History, Topological Foundations, and Idea of Proof
ISBN: 9780387984971 / Angielski / Twarda / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This little book discusses a famous problem which helped to define the field now known as topology: what is the minimum number of colours required to print a map so that no two adjoining countries have the same colour, no matter how convoluted their boundaries? Many mathematicians have worked on the problem, but the proof eluded formulation until the 1950s, when it was finally cracked with a brute-force approach using a computer. The book begins by discussing the history of the problem, and then goes into the mathematics on such a level as to allow anyone with an elementary knowledge of...
This little book discusses a famous problem which helped to define the field now known as topology: what is the minimum number of colours required to ...
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543,55 zł |
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Topology and Geometry in Polymer Science
ISBN: 9780387985800 / Angielski / Twarda / 206 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This IMA Volume in Mathematics and its Applications TOPOLOGY AND GEOMETRY IN POLYMER SCIENCE is based on the proceedings of a very successful one-week workshop with the same title. This workshop was an integral part of the 1995-1996 IMA program on "Mathematical Methods in Materials Science." We would like to thank Stuart G. Whittington, De Witt Sumners, and Timothy Lodge for their excellent work as organizers of the meeting and for editing the proceedings. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval...
This IMA Volume in Mathematics and its Applications TOPOLOGY AND GEOMETRY IN POLYMER SCIENCE is based on the proceedings of a very successful one-week...
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cena:
385,52 zł |
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