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Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos
ISBN: 9780521467476 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the method of analysis and choice of emphasis make it very different from all other books in the field. It is written to provide the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects such as universal critical exponents, devil's staircases, and the Farey tree. Throughout the book the author uses a fully discrete method, a "theoretical computer arithmetic," because finite (but not fixed) precision is a fact of...
This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the method of analysis and choice of emphasis make it ve...
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cena:
260,24 zł |
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Differential Forms and Connections
ISBN: 9780521468008 / Angielski / Miękka / 270 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book introduces the tools of modern differential geometry--exterior calculus, manifolds, vector bundles, connections--and covers both classical surface theory, the modern theory of connections, and curvature. Also included is a chapter on applications to theoretical physics. The author uses the powerful and concise calculus of differential forms throughout. Through the use of numerous concrete examples, the author develops computational skills in the familiar Euclidean context before exposing the reader to the more abstract setting of manifolds. The only prerequisites are multivariate...
This book introduces the tools of modern differential geometry--exterior calculus, manifolds, vector bundles, connections--and covers both classical s...
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cena:
230,36 zł |
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Grothendieck Theory of Dessins D'Enfants
ISBN: 9780521478212 / Angielski / Miękka / 380 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The focus of this book is on combinatorial objects, dessins d'enfants, which are drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The articles contained here unite basic elements of the subject with recent advances. Topics covered include: the explicity association of algebraic curves to dessins, the study of the action of the Galois group on the dessins, computation and combinatorics, relations with...
The focus of this book is on combinatorial objects, dessins d'enfants, which are drawings with vertices and edges on topological surfaces. Their inter...
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cena:
454,46 zł |
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Knots and Links
ISBN: 9780521548311 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Knot theory is the study of embeddings of circles in space. Peter Cromwell has written a textbook on knot theory designed for use in advanced undergraduate or beginning graduate-level courses. The exposition is detailed and careful yet engaging and full of motivation. Numerous examples and exercises serve to help students through the material, while an instructor's manual is available online.
Knot theory is the study of embeddings of circles in space. Peter Cromwell has written a textbook on knot theory designed for use in advanced undergra...
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cena:
275,17 zł |
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Dynamical Systems and Ergodic Theory
ISBN: 9780521575997 / Angielski / Miękka / 196 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. The authors provide a number of applications, principally to number theory and arithmetic progressions (through Van der Waerden's theorem and Szemerdi's theorem). This text is suitable for advanced undergraduate and beginning graduate students.
This book is an introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention t...
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cena:
230,36 zł |
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Typical Dynamics of Volume Preserving Homeomorphisms
ISBN: 9780521582872 / Angielski / Twarda / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides a self-contained introduction to typical properties of volume preserving homeomorphisms, examples of which include transitivity, chaos and ergodicity. The authors make the first part of the book very concrete by focusing on volume preserving homeomorphisms of the unit n-dimensional cube. They also prove fixed point theorems (Conley-Zehnder-Franks). This is done in a number of short self-contained chapters that would be suitable for an undergraduate analysis seminar or a graduate lecture course. Parts Two and Three consider compact manifolds and sigma compact manifolds...
This book provides a self-contained introduction to typical properties of volume preserving homeomorphisms, examples of which include transitivity, ch...
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cena:
559,09 zł |
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From Calculus to Cohomology: de Rham Cohomology and Characteristic Classes
ISBN: 9780521589567 / Angielski / Miękka / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last eleven chapters cover Morse theory, index of vector fields, Poincare duality, vector bundles, connections and curvature, Chern and Euler classes, Thom...
De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characte...
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cena:
230,36 zł |
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Structured Ring Spectra
ISBN: 9780521603058 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The prominent role of multiplicative cohomology theories has led to a great deal of foundational research recently on ring spectra within the field of algebraic topology. This has given rise to significant new approaches to constructing categories of spectra and ring-like objects in them. These essays contain important new contributions to the theory of structured ring spectra as well as survey papers describing relationships between them.
The prominent role of multiplicative cohomology theories has led to a great deal of foundational research recently on ring spectra within the field of...
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cena:
401,15 zł |
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Global Analysis on Foliated Spaces
ISBN: 9780521613057 / Angielski / Miękka / 293 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspondingly more complex. In the 1980s, Alain Connes founded what is now known as noncommutative geometry. One of the first results was his generalization of the Atiyah-Singer index theorem to compute the analytic index associated with a tangential (pseudo)-differential operator and an invariant transverse measure on a foliated manifold, in terms of topological data on the manifold and the operator. This book presents a complete proof of this...
Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspon...
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cena:
359,47 zł |
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Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors
ISBN: 9780521632041 / Angielski / Twarda / 480 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book develops the theory of global attractors for a class of parabolic PDEs that includes reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated in detail. A lengthy chapter on Sobolev spaces provides the framework that allows a rigorous treatment of existence and uniqueness of solutions for both linear time-independent problems (Poisson's equation) and the nonlinear evolution equations which generate the infinite-dimensional dynamical systemss of the title. Attention then switches to the global attractor, a finite-dimensional subset of the...
This book develops the theory of global attractors for a class of parabolic PDEs that includes reaction-diffusion equations and the Navier-Stokes equa...
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cena:
708,50 zł |
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Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors
ISBN: 9780521635646 / Angielski / Miękka / 480 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book develops the theory of global attractors for a class of parabolic PDEs that includes reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated in detail. A lengthy chapter on Sobolev spaces provides the framework that allows a rigorous treatment of existence and uniqueness of solutions for both linear time-independent problems (Poisson's equation) and the nonlinear evolution equations which generate the infinite-dimensional dynamical systemss of the title. Attention then switches to the global attractor, a finite-dimensional subset of the...
This book develops the theory of global attractors for a class of parabolic PDEs that includes reaction-diffusion equations and the Navier-Stokes equa...
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cena:
320,00 zł |
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Representations and Cohomology: Volume 2, Cohomology of Groups and Modules
ISBN: 9780521636520 / Angielski / Miękka / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The heart of the book is a lengthy introduction to the representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in some detail.
The heart of the book is a lengthy introduction to the representation theory of finite dimensional algebras, in which the techniques of quivers with r...
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cena:
290,12 zł |
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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
ISBN: 9780521636537 / Angielski / Miękka / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations of finite-dimensional algebras. This volume is primarily concerned with the exposition of the necessary background material, and the heart of the discussion is a lengthy introduction to the (Auslander-Reiten) representation theory of finite dimensional...
This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebr...
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cena:
260,24 zł |
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Elementary Geometry of Algebraic Curves: An Undergraduate Introduction
ISBN: 9780521646413 / Angielski / Miękka / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Here is an introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book is well illustrated and contains several hundred worked examples and exercises. From the familiar lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective...
Here is an introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postg...
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cena:
205,45 zł |
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When Topology Meets Chemistry: A Topological Look at Molecular Chirality
ISBN: 9780521662543 / Angielski / Twarda / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The applications of topological techniques for understanding molecular structures have become increasingly important since the 1960s. In this topology text, the reader can learn about knot theory, 3-dimensional manifolds, and the topology of embedded graphs, while learning the role these play in understanding molecular structures. Most of the results that are described in the text are motivated by questions asked by chemists or molecular biologists, though the results themselves often go beyond answering the original question asked. There is no specific mathematical or chemical prerequisite;...
The applications of topological techniques for understanding molecular structures have become increasingly important since the 1960s. In this topology...
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cena:
554,12 zł |
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Non-Commutative Localization in Algebra and Topology
ISBN: 9780521681605 / Angielski / Miękka / 313 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P.M. Cohn) it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry.This volume consists of 9 articles on noncommutative localization in algebra and topology. The aricles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book...
Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms ...
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cena:
369,88 zł |
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Harmonic Maps Between Riemannian Polyhedra
ISBN: 9780521773119 / Angielski / Twarda / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This research-level monograph on harmonic maps between singular spaces sets out much new material on the theory, bringing all the research together for the first time in one place. Riemannian polyhedra are a class of such spaces that are especially suitable to serve as the domain of definition for harmonic maps. Their properties are considered in detail, with many examples being given, and potential theory on Riemmanian polyhedra is also considered. The work will serve as a concise source and reference for all researchers working in this field or a similar one.
This research-level monograph on harmonic maps between singular spaces sets out much new material on the theory, bringing all the research together fo...
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cena:
559,09 zł |
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The Mandelbrot Set, Theme and Variations
ISBN: 9780521774765 / Angielski / Miękka / 388 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume presents a systematic exposition of current knowledge about the Mandelbrot set and presents the latest research in complex dynamics. Topics discussed include the universality and the local connectivity of the Mandelbrot set, parabolic bifurcations, critical circle homeomorphisms, absolutely continuous invariant measures and matings of polynomials, along with the geometry, dimension and local connectivity of Julia sets. Chapters document important results hitherto unpublished or difficult to find in the literature. This book will be of interest to graduate students in mathematics,...
This volume presents a systematic exposition of current knowledge about the Mandelbrot set and presents the latest research in complex dynamics. Topic...
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cena:
364,82 zł |
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Analysis on Fractals
ISBN: 9780521793216 / Angielski / Twarda / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book covers analysis on fractals, a developing area of mathematics that focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and...
This book covers analysis on fractals, a developing area of mathematics that focuses on the dynamical aspects of fractals, such as heat diffusion on f...
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cena:
559,09 zł |
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Algebraic Topology
ISBN: 9780521795401 / Angielski / Miękka / 558 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many...
In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is sui...
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cena:
260,47 zł |
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