Mini faq
Fractal Functions, Fractal Surfaces, and Wavelets
ISBN: 9780124788404 / Angielski / Twarda / 383 str. Fractal Functions, Fractal Surfaces, and Wavelets is the first systematic exposition of the theory of fractal surfaces, a natural outgrowth of fractal sets and fractal functions. It is also the first treatment to bring these general considerations to bear on the burgeoning field of wavelets. The text is based on Massopusts work on and contributions to the theory of fractal functions, and the author uses a number of toolsincluding analysis, topology, algebra, and probability theoryto introduce readers to this new subject. Though much of the material presented in this book is...
Fractal Functions, Fractal Surfaces, and Wavelets is the first systematic exposition of the theory of fractal surfaces, a natural outgrowth of ...


cena:
234,94 zł 
Approach Spaces: The Missing Link in the TopologyUniformityMetric Triad
ISBN: 9780198500308 / Angielski / Twarda / 262 str. 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...


cena:
966,80 zł 
Topology: A Geometric Approach
ISBN: 9780199202485 / Angielski / Miękka / 408 str. This newinpaperback 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 onesemester or twoquarter course, and Part II (which is problem based) allows the book to be used for a yearlong course which supports a variety of syllabuses.
The over 750 exercises range... This newinpaperback introduction to topology emphasizes a geometric approach with a focus on surfaces. A primary feature is a large collection of ex...


cena:
501,10 zł 
Lie Algebras and Locally Compact Groups
ISBN: 9780226424538 / Angielski / Miękka / 155 str. 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 semisimple 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...


cena:
161,39 zł 
A Concise Course in Algebraic Topology
ISBN: 9780226511832 / Angielski / Miękka / 254 str. 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,...


cena:
112,27 zł 
Dimension Theory in Dynamical Systems: Contemporary Views and Applications
ISBN: 9780226662220 / Angielski / Miękka / 311 str. The principles of symmetry and selfsimilarity 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 "turbulentlike" 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 selfsimilarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for th...


cena:
130,98 zł 
Elliptic Cohomology
ISBN: 9780306460975 / Angielski / Twarda / 200 str. Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory is a quotient of oriented cobordism localised away from 2, the latter by the fact that the coefficients coincide with a ring of modular forms. The aim of the book is to construct this cohomology theory, and evaluate it on classifying spaces BG of finite groups G. This class of spaces is important, since (using ideas borrowed from Monstrous Moonshine') it is possible to give a bundletheoretic definition of EU(BG). Concluding chapters also...
Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory i...


cena:
604,13 zł 
Fractals and Chaos: The Mandelbrot Set and Beyond
ISBN: 9780387201580 / Angielski / Twarda / 308 str. 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 hardtoobtain 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... 

cena:
466,16 zł 
A Taste of Topology
ISBN: 9780387257907 / Angielski / Miękka / 182 str. 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... 

cena:
190,22 zł 
Computational Homology
ISBN: 9780387408538 / Angielski / Twarda / 482 str. 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... 

cena:
420,17 zł 
Linear Topological Spaces
ISBN: 9780387901695 / Angielski / Twarda / 256 str. 

cena:
144,23 zł 
General Topology
ISBN: 9780387909721 / Angielski / Twarda / 141 str. This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer sity year). The course was taught during the first semester of the 197980 academic year (three hours a week of lecture, four hours a week of guided work). Topology is the study of the notions of limit and continuity and thus is, in principle, very ancient. However, we shall limit ourselves to the origins of the theory since the nineteenth century. One of the sources of topology is the effort to clarify the theory of realvalued functions of a...
This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer...


cena:
236,21 zł 
Algebraic Topology: A First Course
ISBN: 9780387943275 / Angielski / Miękka / 430 str. 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...


cena:
190,03 zł 
Algebraic Topology
ISBN: 9780387944265 / Angielski / Miękka / 548 str. Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main...
Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the boo...


cena:
328,19 zł 
Theory and Applications of Partial Functional Differential Equations
ISBN: 9780387947716 / Angielski / Twarda / 432 str. Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatiotemporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential...
Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spati...


cena:
650,12 zł 
Rational Homotopy Theory
ISBN: 9780387950686 / Angielski / Twarda / 539 str. 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...


cena:
420,17 zł 
Lectures on Analysis on Metric Spaces
ISBN: 9780387951041 / Angielski / Twarda / 141 str. 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 ...


cena:
328,19 zł 
Intuitive Combinatorial Topology
ISBN: 9780387951140 / Angielski / Twarda / 142 str. 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 wellmotivated 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...


cena:
259,20 zł 
Algebraic Topology from a Homotopical Viewpoint
ISBN: 9780387954509 / Angielski / Twarda / 479 str. The authors present introductory material in algebraic topology from a novel point of view in using a homotopytheoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopytheoretic point of view of algebraic topology. The authors present introductory material in algebraic topology from a novel point of view in using a homotopytheoretic approach. This carefully w... 

cena:
397,17 zł 
Introduction to Differentiable Manifolds
ISBN: 9780387954776 / Angielski / Twarda / 250 str. 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...


cena:
351,18 zł 