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An Introduction to Ordinary Differential Equations
ISBN: 9780486659428 / Angielski / Miękka / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. -Written in an admirably cleancut and economical style.- -- Mathematical Reviews.
This concise text offers undergraduates in mathematics and science a thorough and systematic first course in elementary differential equations. Presuming a knowledge of basic calculus, the book first reviews the mathematical essentials required to master the materials to be presented. The next four chapters take up linear equations, those of the first order and those with constant coefficients, variable coefficients, and regular singular points. The last two chapters address the existence and... -Written in an admirably cleancut and economical style.- -- Mathematical Reviews.
This concise text offers undergraduates in mathematics and... |
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65,32 |
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Ultrametric Calculus: An Introduction to P-Adic Analysis
ISBN: 9780521032872 / Angielski / Miękka / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ. This approach guarantees the reader quickly becomes acquainted with this equally 'real' analysis and appreciates its relevance. The reader's understanding is enhanced and deepened by the large number of exercises included throughout; these both test the reader's grasp and extend the text in interesting directions. As a consequence, this book will become a standard reference...
This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof...
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cena:
490,67 |
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Green's Functions
ISBN: 9780521282888 / Angielski / Miękka / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Green's functions are an important tool used in solving boundary value problems associated with ordinary and partial differential equations. This self-contained and systematic introduction to Green's functions has been written with applications in mind. The material is presented in an unsophisticated and rather more practical manner than usual. Consequently advanced undergraduates and beginning postgraduate students in mathematics and the applied sciences will find this account particularly attractive. Many exercises and examples have been supplied throughout to reinforce comprehension and to...
Green's functions are an important tool used in solving boundary value problems associated with ordinary and partial differential equations. This self...
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cena:
293,98 |
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Singular-Perturbation Theory
ISBN: 9780521300421 / Angielski / Twarda / 520 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents an introduction to singular-perturbation problems, problems which depend on a parameter in such a way that solutions behave non-uniformly as the parameter tends toward some limiting value of interest. The author considers and solves a variety of problems, mostly for ordinary differential equations. He constructs (approximate) solutions for oscillation problems, using the methods of averaging and of multiple scales. For problems of the nonoscillatory type, where solutions exhibit 'fast dynamics' in a thin initial layer, he derives solutions using the O'Malley/Hoppensteadt...
This book presents an introduction to singular-perturbation problems, problems which depend on a parameter in such a way that solutions behave non-uni...
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cena:
771,90 |
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Solitons: An Introduction
ISBN: 9780521336550 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Solitons: An Introduction discusses the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. Drazin and Johnson explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering Tranform. Their aim is to present the essence of inverse scattering clearly, rather than rigorously or completely. Thus, the prerequisites are merely what is found in standard courses on mathematical physics and more advanced material is explained in the text with useful references to further reading given at...
Solitons: An Introduction discusses the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. Draz...
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224,37 |
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Introduction to the Modern Theory of Dynamical Systems
ISBN: 9780521341875 / Angielski / Twarda / 824 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme...
This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely inte...
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cena:
618,78 |
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Differential Equations: Their Solution Using Symmetries
ISBN: 9780521366892 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides an introduction to the theory and application of the solution of differential equations using symmetries, a technique of great value in mathematics and the physical sciences.
In many branches of physics, mathematics, and engineering, solving a problem means a set of ordinary or partial differential equations. Nearly all methods of constructing closed form solutions rely on symmetries. The theory and application of such methods have therefore attracted increasing attention in the last two decades. In this text the emphasis is on how to find and use the symmetries in... This book provides an introduction to the theory and application of the solution of differential equations using symmetries, a technique of great valu...
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cena:
224,37 |
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Nonlinear Systems
ISBN: 9780521406680 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A coherent treatment of nonlinear systems covering chaos, fractals, and bifurcation, as well as equilibrium, stability, and nonlinear oscillations. The systems treated are mostly of difference and differential equations. The author introduces the mathematical properties of nonlinear systems as an integrated theory, rather than simply presenting isolated fashionable topics. The topics are discussed in as concrete a way as possible, worked examples and problems are used to motivate and illustrate the general principles. More advanced parts of the text are denoted by asterisks, thus making it...
A coherent treatment of nonlinear systems covering chaos, fractals, and bifurcation, as well as equilibrium, stability, and nonlinear oscillations. Th...
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cena:
293,98 |
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Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations
ISBN: 9780521425667 / Angielski / Miękka / 404 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. By providing an introduction to nonlinear differential equations, Dr. Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses. Included are treatments of the Poincare-Bendixson theorem, the Hopf bifurcation and chaotic systems.
By providing an introduction to nonlinear differential equations, Dr. Glendinning aims to equip the student with the mathematical know-how needed to a...
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cena:
340,38 |
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Duality and Perturbation Methods in Critical Point Theory
ISBN: 9780521440257 / Angielski / Twarda / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Building on min-max methods, Professor Ghoussoub systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole new array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book self-contained.
Building on min-max methods, Professor Ghoussoub systematically develops a general theory that can be applied in a variety of situations. In so doing ...
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cena:
539,90 |
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An Introduction to Maximum Principles and Symmetry in Elliptic Problems
ISBN: 9780521461955 / Angielski / Twarda / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary facts about the linear case to recent results about positive solutions of nonlinear elliptic equations. Gidas, Ni and Nirenberg, building on the work of Alexandrov and Serrin, have shown that the shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the equation and its boundary condition allow spherically symmetric solutions, then,...
This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum princ...
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cena:
628,06 |
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Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations: Fractal Dimensions and Infinitely Many Attractors in Dynamics
ISBN: 9780521475723 / Angielski / Miękka / 248 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a self-contained introduction to the classical theory of homoclinic bifurcation theory, as well as its generalizations and more recent extensions to higher dimensions. It is also intended to stimulate new developments, relating the theory of fractal dimensions to bifurcations, and concerning homoclinic bifurcations as generators of chaotic dynamics. The book begins with a review chapter giving background material on hyperbolic dynamical systems. The next three chapters give a detailed treatment of a number of examples, Smale's description of the dynamical consequences of transverse...
This is a self-contained introduction to the classical theory of homoclinic bifurcation theory, as well as its generalizations and more recent extensi...
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cena:
354,30 |
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Equivalence, Invariants and Symmetry
ISBN: 9780521478113 / Angielski / Twarda / 544 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents an innovative synthesis of methods used to study the problems of equivalence and symmetry that arise in a variety of mathematical fields and physical applications. It draws on a wide range of disciplines, including geometry, analysis, applied mathematics, and algebra. Dr. Olver develops systematic and constructive methods for solving equivalence problems and calculating symmetries, and applies them to a variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials, and differential operators. He...
This book presents an innovative synthesis of methods used to study the problems of equivalence and symmetry that arise in a variety of mathematical f...
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cena:
516,69 |
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Topics in Dynamics and Ergodic Theory
ISBN: 9780521533652 / Angielski / Miękka / 270 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This collection of survey papers by leading researchers in ergodic theory and low-dimensional and topological dynamics comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2-dimensional theory called pruning; the dynamics of Markov odometers, Bratteli-Vershik diagrams and orbit equivalence of non-singular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one...
This collection of survey papers by leading researchers in ergodic theory and low-dimensional and topological dynamics comprises nine chapters on a ra...
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cena:
343,93 |
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Classical Mechanics
ISBN: 9780521534093 / Angielski / Miękka / 610 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject; each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice for understanding and technique. Computer assisted problems, some suitable for projects, are also included. The book is structured to make learning the subject easy; there is a natural progression...
Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly reada...
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cena:
445,89 |
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Discrete and Continuous Nonlinear Schrödinger Systems
ISBN: 9780521534376 / Angielski / Miękka / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Over the past thirty years significant progress has been made in the investigation of nonlinear waves--including "soliton equations," a class of nonlinear wave equations that arise frequently in such areas as nonlinear optics, fluid dynamics, and statistical physics. The broad interest in this field can be traced to understanding "solitons" and the associated development of a method of solution termed the inverse scattering transform (IST). The IST technique applies to continuous and discrete nonlinear Schrodinger (NLS) equations of scalar and vector type. This work presents a detailed...
Over the past thirty years significant progress has been made in the investigation of nonlinear waves--including "soliton equations," a class of nonli...
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cena:
428,54 |
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Topics from One-Dimensional Dynamics
ISBN: 9780521547666 / Angielski / Miękka / 297 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One-dimensional dynamics has generated many results, and avenues of active mathematical research with numerous inroads to this research remain to be pursued by the advanced undergraduate or beginning graduate student. While much of the material in this book is not covered elsewhere, some aspects present new research topics whose connections are drawn to other research areas from the text. Although the material presented is not meant to be approached in a linear fashion, anybody with an interest in dynamics will find many topics of interest.
One-dimensional dynamics has generated many results, and avenues of active mathematical research with numerous inroads to this research remain to be p...
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cena:
321,00 |
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Computational Differential Equations
ISBN: 9780521567381 / Angielski / Miękka / 556 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a two volume introduction to the computational solution of differential equations using a unified approach organized around the adaptive finite element method. It presents a synthesis of mathematical modeling, analysis, and computation. The goal is to provide the student with theoretical and practical tools useful for addressing the basic questions of computational mathematical modeling in science and engineering: How can we model physical phenomena using differential equations? What are the properties of solutions of differential equations? How do we compute solutions in practice?...
This is a two volume introduction to the computational solution of differential equations using a unified approach organized around the adaptive finit...
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cena:
345,02 |
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Ergodicity for Infinite Dimensional Systems
ISBN: 9780521579001 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is devoted to the asymptotic properties of solutions of stochastic evolution equations in infinite dimensional spaces. It is divided into three parts: Markovian dynamical systems; invariant measures for stochastic evolution equations; and invariant measures for specific models. The focus is on models of dynamical processes affected by white noise, which are described by partial differential equations such as the reaction-diffusion equations or Navier-Stokes equations. Besides existence and uniqueness questions, the authors pay special attention to the asymptotic behavior of the...
This book is devoted to the asymptotic properties of solutions of stochastic evolution equations in infinite dimensional spaces. It is divided into th...
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cena:
386,78 |
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The Lebesgue Integral
ISBN: 9780521604802 / Angielski / Miękka / 108 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A straightforward introduction to Lebesgue's theory of integration.
A straightforward introduction to Lebesgue's theory of integration.
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cena:
229,29 |
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