A Guide to the Classification Theorem for Compact Surfaces
ISBN: 9783642343636 / Angielski / Twarda / 178 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centred approach details a near-complete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a...
This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem...
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cena:
153,90 zł |
Lectures on Analysis on Metric Spaces
ISBN: 9781461265252 / Angielski / Miękka / 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:
221,26 zł |
Sheaf Theory
ISBN: 9781461268543 / Angielski / Miękka / 504 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is primarily concerned with the study of cohomology theories of general topological spaces with "general coefficient systems. " Sheaves play several roles in this study. For example, they provide a suitable notion of "general coefficient systems. " Moreover, they furnish us with a common method of defining various cohomology theories and of comparison between different cohomology theories. The parts of the theory of sheaves covered here are those areas impor- tant to algebraic topology. Sheaf theory is also important in other fields of mathematics, notably algebraic geometry, but...
This book is primarily concerned with the study of cohomology theories of general topological spaces with "general coefficient systems. " Sheaves play...
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cena:
244,40 zł |
Topology of Surfaces
ISBN: 9781461269397 / Angielski / Miękka / 281 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. " . . . that famous pedagogical method whereby one begins with the general and proceeds to the particular only after the student is too confused to understand even that anymore. " Michael Spivak This text was written as an antidote to topology courses such as Spivak It is meant to provide the student with an experience in geomet- describes. ric topology. Traditionally, the only topology an undergraduate might see is point-set topology at a fairly abstract level. The next course the average stu- dent would take would be a graduate course in algebraic topology, and such courses are commonly...
" . . . that famous pedagogical method whereby one begins with the general and proceeds to the particular only after the student is too confused to un...
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cena:
217,22 zł |
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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cena:
271,57 zł |
Topology
ISBN: 9781461270188 / Angielski / Miękka / 193 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces. - Homotopy. - The Two Countability Axioms. - CW-Complexes. - Construction of Continuous Functions on Topological Spaces. - Covering Spaces. - The Theorem of Tychonoff. - Set Theory (by T. Brcker). - References. - Table of Symbols. -Index.
Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces. - Homotopy. - The ...
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cena:
213,50 zł |
Topologie, Band 1, Allgemeine Topologie
ISBN: 9783111012421 / Niemiecki / Twarda / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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cena:
477,09 zł |
Simplicial Structures in Topology
ISBN: 9781461426981 / Angielski / Miękka / 243 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies closed surfaces and gives their classification. The last chapter of the book is devoted to homotopy groups, which are used in short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henry Poincare (singular homology is discussed). Illustrative examples throughout and extensive exercises at the end of each chapter for practice enhance the text....
Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The ...
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cena:
194,08 zł |
Introduction to Topological Manifolds
ISBN: 9781461427902 / Angielski / Miękka / 433 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an introduction to manifolds at the beginning graduate level, and accessible to any student who has completed a solid undergraduate degree in mathematics. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Although this second edition has the same basic structure as the first edition, it has been extensively revised and clarified; not a single page has been left untouched. The major changes include a new introduction to CW complexes... This book is an introduction to manifolds at the beginning graduate level, and accessible to any student who has completed a solid undergraduate de... |
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cena:
232,90 zł |
Regular and Irregular Holonomic D-Modules
ISBN: 9781316613450 / Angielski / Miękka / 117 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.
A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.
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cena:
258,31 zł |
Riders in Geometry
ISBN: 9781316611821 / Angielski / Miękka / 152 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Originally published in 1929, this book presents a guide to riders in geometry aimed at students of matriculation or School Certificate standard.
Originally published in 1929, this book presents a guide to riders in geometry aimed at students of matriculation or School Certificate standard.
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cena:
270,36 zł |
Map Projections
ISBN: 9781316611791 / Angielski / Miękka / 172 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. First published in 1921, this book presents an account regarding the different types of map projection.
First published in 1921, this book presents an account regarding the different types of map projection.
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cena:
270,36 zł |
Rational Homotopy Theory
ISBN: 9781461265160 / Angielski / Miękka / 539 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Rational homotopy theory is a subfield of algebraic topology. Written by three authorities in the field, this book contains all the main theorems of the field with complete proofs. As both notation and techniques of rational homotopy theory have been considerably simplified, the book presents modern elementary proofs for many results that were proven ten or fifteen years ago. Rational homotopy theory is a subfield of algebraic topology. Written by three authorities in the field, this book contains all the main theorems o... |
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310,55 zł |
Topological Spaces: From Distance to Neighborhood
ISBN: 9781461268628 / Angielski / Miękka / 313 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the plane, Metric spaces and Topological spaces -, the book eases the move into higher levels of abstraction. Students are thereby informally assisted in learning new ideas while remaining on familiar territory. The authors do not assume previous knowledge of axiomatic approach or set theory. Similarly, they have restricted the mathematical vocabulary in the book so as to avoid overwhelming the reader, and the...
gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into...
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cena:
194,08 zł |
An Introduction to Knot Theory
ISBN: 9781461268697 / Angielski / Miękka / 204 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant results are achieved and each chapter ends with exercises and brief accounts of the latest research. What may reasonably be referred to as knot theory has expanded enormously over the last decade and, while the author describes important discoveries throughout the twentieth century, the latest discoveries such as quantum invariants of...
A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric ...
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cena:
232,75 zł |
Topology and Maps
ISBN: 9781461588009 / Angielski / Miękka / 337 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work is suitable for undergraduate students as well as advanced students and research workers. It consists of ten chapters, the first six of which are meant for beginners and are therefore suitable for undergraduate students; Chapters VII-X are suitable for advanced students and research workers interested in functional analysis. This book has two special features: First, it contains generalizations of continuous maps on topological spaces, e. g., almost continuous maps, nearly continuous maps, maps with closed graph, graphically continuous maps, w-continuous maps, and a-continuous maps,...
This work is suitable for undergraduate students as well as advanced students and research workers. It consists of ten chapters, the first six of whic...
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cena:
194,08 zł |
Geodesic Flows
ISBN: 9781461272120 / Angielski / Miękka / 149 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to present the fundamental concepts and properties of the geodesic flow of a closed Riemannian manifold. The topics covered are close to my research interests. An important goal here is to describe properties of the geodesic flow which do not require curvature assumptions. A typical example of such a property and a central result in this work is Mane's formula that relates the topological entropy of the geodesic flow with the exponential growth rate of the average numbers of geodesic arcs between two points in the manifold. The material here can be reasonably covered...
The aim of this book is to present the fundamental concepts and properties of the geodesic flow of a closed Riemannian manifold. The topics covered ar...
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cena:
427,02 zł |
A Cp-Theory Problem Book: Topological and Function Spaces
ISBN: 9781461428459 / Angielski / Miękka / 488 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from each of these areas of research. Through over 500 carefully selected problems and exercises, this volume provides a self-contained introduction to Cp-theory and general topology. By systematically introducing each of the major topics in Cp-theory, this volume is...
The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection of three important areas o...
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cena:
221,26 zł |
Deformations of Surface Singularities
ISBN: 9783642391309 / Angielski / Twarda / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples. The aim is to collect material that will help mathematicians already working or wishing to work in this area to deepen their insight and eliminate the technical barriers in this learning process. Additionally, we introduce some material which emphasizes the newly found relationship with the theory of Stein fillings and symplectic geometry.... The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together s... |
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cena:
194,08 zł |
Theta Functions and Knots
ISBN: 9789814520577 / Angielski / Twarda / 468 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Răzvan Gelca and Alejandro Uribe, which converts Weil's representation of the Heisenberg group on theta functions to a knot theoretical framework, by giving a topological interpretation to a certain induced representation. It also explains how the discrete Fourier transform can be related to 3- and 4-dimensional topology.Theta Functions and Knots can be read in two perspectives. Readers with an interest in theta functions or knot theory can learn how the two are...
This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Răzvan Gelca and Alejandro Urib...
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cena:
782,54 zł |