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Approach Spaces : The Missing Link in the Topology-Uniformity-Metric Triad
ISBN: 9780198500308 / Angielski / Twarda / 262 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In topology the three basic concepts of metrics, topologies and uniformities have been treated so far as separate entities by means of different methods and terminology. This is the first book to treat all three as a special case of the concept of approach spaces. This theory provides an answer to natural questions in the interplay between topological and metric spaces by introducing a uniquely well suited supercategory of TOP and MET. The theory makes it possible to equip initial structures of metricizable topological spaces with a canonical structure, preserving the numerical information of...
In topology the three basic concepts of metrics, topologies and uniformities have been treated so far as separate entities by means of different metho...
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732,32 zł |
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Topology: A Geometric Approach
ISBN: 9780199202485 / Angielski / Miękka / 408 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This new-in-paperback introduction to topology emphasizes a geometric approach with a focus on surfaces. A primary feature is a large collection of exercises and projects, which fosters a teaching style that encourages the student to be an active class participant. A wide range of material at different levels supports flexible use of the book for a variety of students. Part I is appropriate for a one-semester or two-quarter course, and Part II (which is problem based) allows the book to be used for a year-long course which supports a variety of syllabuses.
The over 750 exercises range... This new-in-paperback introduction to topology emphasizes a geometric approach with a focus on surfaces. A primary feature is a large collection of ex...
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591,96 zł |
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Lie Algebras and Locally Compact Groups
ISBN: 9780226424538 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume presents lecture notes based on the author's courses on Lie algebras and the solution of Hilbert's fifth problem. In chapter 1, "Lie Algebras," the structure theory of semi-simple Lie algebras in characteristic zero is presented, following the ideas of Killing and Cartan. Chapter 2, "The Structure of Locally Compact Groups," deals with the solution of Hilbert's fifth problem given by Gleason, Montgomery, and Zipplin in 1952.
This volume presents lecture notes based on the author's courses on Lie algebras and the solution of Hilbert's fifth problem. In chapter 1, "Lie Algeb...
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175,40 zł |
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A Concise Course in Algebraic Topology
ISBN: 9780226511832 / Angielski / Miękka / 254 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields.
J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are... Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry,...
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142,36 zł |
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Dimension Theory in Dynamical Systems : Contemporary Views and Applications
ISBN: 9780226662220 / Angielski / Miękka / 314 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The principles of symmetry and self-similarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for their beautiful but complicated geometric structure, which is the subject of study in dimension theory. And in dynamics the presence of invariant fractals often results in unstable "turbulent-like" motions and is associated with "chaotic" behavior.
In this book, Yakov Pesin introduces a new area of research that has recently appeared in the interface between dimension theory and the theory of dynamical systems. Focusing on invariant fractals... The principles of symmetry and self-similarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for th...
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158,17 zł |
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Fractals and Chaos : The Mandelbrot Set and Beyond
ISBN: 9780387201580 / Angielski / Twarda / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. It has only been a couple of decades since Benoit Mandelbrot published his famous picture of what is now called the Mandelbrot set. That picture, now seeming graphically primitive, has changed our view of the mathematical and physical universe. The properties and circumstances of the discovery of the Mandelbrot Set continue to generate much interest in the research community and beyond. This book contains the hard-to-obtain original papers, many unpublished illustrations dating back to 1979 and extensive documented historical context showing how Mandelbrot helped change our way of looking... It has only been a couple of decades since Benoit Mandelbrot published his famous picture of what is now called the Mandelbrot set. That picture, n... |
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633,18 zł |
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A Taste of Topology
ISBN: 9780387257907 / Angielski / Miękka / 177 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language. The present book grew out of notes for an introductory topology course at the University of Alberta. It provides a concise introduction to set theoretic topology (and to a tiny little bit of algebraic topology). It is accessible to undergraduates from the second year on, but even beginning graduate... If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a nec... |
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232,14 zł |
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Computational Homology
ISBN: 9780387408538 / Angielski / Twarda / 482 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. This book uses a computer to develop a combinatorial computational approach to the subject. The core of the book deals with homology theory and its computation. Following this is a section containing extensions to further developments in algebraic topology, applications to computational dynamics, and applications to image processing. Included are exercises and software that can be used to compute homology groups and maps. The book will appeal to... Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. This boo... |
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506,54 zł |
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General Topology
ISBN: 9780387901251 / Angielski / Twarda / 298 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Aimed at graduate math students, this classic work is a systematic exposition of general topology and is intended to be a reference and a text. As a reference, it offers a reasonably complete coverage of the area, resulting in a more extended treatment than normally given in a course. As a text, the exposition in the earlier chapters proceeds at a pedestrian pace. A preliminary chapter covers those topics requisite to the main body of work. Aimed at graduate math students, this classic work is a systematic exposition of general topology and is intended to be a reference and a text. As ... |
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358,79 zł |
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Algebraic Topology : A First Course
ISBN: 9780387943275 / Angielski / Miękka / 430 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re- lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ- ential topology, etc.), we concentrate our attention on concrete prob- lems in low dimensions, introducing only as much algebraic machin- ery as necessary for the problems we meet. This makes it possible to see a wider variety of important features of the subject...
To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re- lations of th...
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cena:
168,65 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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cena:
337,68 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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cena:
232,14 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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295,29 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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cena:
265,74 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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cena:
358,79 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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cena:
253,08 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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cena:
572,37 zł |
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The Infinite-Dimensional Topology of Function Spaces
ISBN: 9780444505576 / Angielski / Twarda / 642 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book we study function spaces of low Borel complexity.
Techniques from general topology, infinite-dimensional topology, functional analysis and descriptive set theory are primarily used for the study of these spaces. The mix of methods from several disciplines makes the subject particularly interesting. Among other things, a complete and self-contained proof of the Dobrowolski-Marciszewski-Mogilski Theorem that all function spaces of low Borel complexity are topologically homeomorphic, is presented. In order to understand what is going on, a solid background... In this book we study function spaces of low Borel complexity.
Techniques from general topology, infinite-dimensional topology, functional analysis... |
cena:
1066,24 zł |
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Recent Progress in General Topology II
ISBN: 9780444509802 / Angielski / Twarda / 652 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book presents surveys describing recent developments in most of the primary subfields of
General Topology and its applications to Algebra and Analysis during the last decade. It follows freely the previous edition (North Holland, 1992), Open Problems in Topology (North Holland, 1990) and Handbook of Set-Theoretic Topology (North Holland, 1984). The book was prepared in connection with the Prague Topological Symposium, held in 2001. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs slightly from those chosen in... The book presents surveys describing recent developments in most of the primary subfields of
General Topology and its applications to Algebra and A... |
cena:
1515,92 zł |
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Universal Spaces and Mappings
ISBN: 9780444515865 / Angielski / Twarda / 576 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Universal Spaces and Mappings is devoted to universality problems. A new approach to these problems is given using some specific spaces. Since the construction of these specific spaces is set-theoretical, the given theory can be applied to different topics of Topology such as: universal mappings, dimension theory, action of groups, inverse spectra, isometrical embeddings, and so on.
Universal Spaces and Mappings is devoted to universality problems. A new approach to these problems is given using some specific spaces. Since ...
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cena:
1387,44 zł |
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