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Ergodic Theory: With a View Towards Number Theory
ISBN: 9780857290205 / Angielski / Twarda / 481 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence.
This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence.
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241,34 |
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Functional Equations and How to Solve Them
ISBN: 9780387345390 / Angielski / Miękka / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Over the years, a number of books have been written on the theory of functional equations. However, very little has been published which helps readers to solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. The student who encounters a functional equation on a mathematics contest will need to investigate solutions to the equation by finding all solutions, or by showing that all solutions have a particular property. The emphasis here will be on the development of those tools which are most useful in assigning a family of... Over the years, a number of books have been written on the theory of functional equations. However, very little has been published which helps read... |
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241,50 |
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An Invitation to Variational Methods in Differential Equations
ISBN: 9780817645359 / Angielski / Miękka / 138 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This little book is a revised and expanded version of one I wrote for the "VIII Latin American School of Mathematics" 29], in Portuguese, based on which I have periodically taught a topics course over the last 18 years. As the - graduate students tle suggests, it is an introductory text. It is addressed to of mathematics in the area of differential equations/nonlinear analysis and to mathematicians in other areas who would like to have a first exposure to so called variational methods and their applications to PDEs and ODEs. Afterwards, the reader can choose from some excellent and more...
This little book is a revised and expanded version of one I wrote for the "VIII Latin American School of Mathematics" 29], in Portuguese, based on wh...
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241,50 |
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Differential Forms and Applications
ISBN: 9783540576181 / Angielski / Miękka / 118 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a free translation of a set of notes published originally in Portuguese in 1971. They were translated for a course in the College of Differential Geome- try, ICTP, Trieste, 1989. In the English translation we omitted a chapter on the Frobenius theorem and an appendix on the nonexistence of a complete hyperbolic plane in euclidean 3-space (Hilbert's theorem). For the present edition, we introduced a chapter on line integrals. In Chapter 1 we introduce the differential forms in Rn. We only assume an elementary knowledge of calculus, and the chapter can be used as a basis for a course on...
This is a free translation of a set of notes published originally in Portuguese in 1971. They were translated for a course in the College of Different...
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241,50 |
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Gröbner Deformations of Hypergeometric Differential Equations
ISBN: 9783540660651 / Angielski / Twarda / 254 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Grobner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Grobner deformations of left ideals in the Weyl algebra are the algebraic analogue to classical perturbation techniques. The algorithmic methods introduced here are particularly useful for studying the systems of multidimensional hypergeometric PDEs introduced by Gelfand, Kapranov and Zelevinsky. The...
In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Gr...
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241,50 |
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Hyperbolic Partial Differential Equations
ISBN: 9780387878225 / Angielski / Miękka / 164 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to present hyperbolic partial di?erential equations at an elementary level. In fact, the required mathematical background is only a third year university course on di?erential calculus for functions of several variables. No functional analysis knowledge is needed, nor any distribution theory (with the exception of shock waves mentioned below). k All solutions appearing in the text are piecewise classical C solutions. Beyond the simpli?cations it allows, there are several reasons for this choice: First, we believe that all main features of hyperbolic partial d-...
The aim of this book is to present hyperbolic partial di?erential equations at an elementary level. In fact, the required mathematical background is o...
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241,50 |
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The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type
ISBN: 9783642145735 / Angielski / Miękka / 247 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Bridging the divide between engineers and physicists for whom fractional calculus facilitates numerous applications, this book concentrates on the Caputo operators, providing a self-contained and mathematically rigorous study of their properties and equations. Bridging the divide between engineers and physicists for whom fractional calculus facilitates numerous applications, this book concentrates on the ... |
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241,50 |
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Geodesic and Horocyclic Trajectories
ISBN: 9780857290724 / Angielski / Miękka / 190 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Geodesic and Horocyclic Trajectories presents an introduction to the topological dynamics of two classical flows associated with surfaces of curvature -1, namely the geodesic and horocycle flows. Written primarily with the idea of highlighting, in a relatively elementary framework, the existence of gateways between some mathematical fields, and the advantages of using them, historical aspects of this field are not addressed and most of the references are reserved until the end of each chapter in the Comments section. Topics within the text cover geometry, and examples, of Fuchsian groups;...
Geodesic and Horocyclic Trajectories presents an introduction to the topological dynamics of two classical flows associated with surfaces of curvature...
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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory
ISBN: 9781441931870 / Angielski / Miękka / 593 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The triumphant vindication of bold theories-are these not the pride and justification of our life's work? -Sherlock Holmes, The Valley of Fear Sir Arthur Conan Doyle The main purpose of our book is to present and explain mathematical methods for obtaining approximate analytical solutions to differential and difference equations that cannot be solved exactly. Our objective is to help young and also establiShed scientists and engineers to build the skills necessary to analyze equations that they encounter in their work. Our presentation is aimed at developing the insights and techniques that...
The triumphant vindication of bold theories-are these not the pride and justification of our life's work? -Sherlock Holmes, The Valley of Fear Sir Art...
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241,50 |
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The Arithmetic of Dynamical Systems
ISBN: 9781441924179 / Angielski / Miękka / 511 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is designed to provide a path for the reader into an amalgamation oftwo venerable areas ofmathematics, Dynamical Systems and Number Theory. Many of the motivating theorems and conjectures in the new subject of Arithmetic Dynamics may be viewed as the transposition ofclassical results in the theory ofDiophantine equations to the setting of discrete dynamical systems, especially to the iteration theory ofmaps on the projective line and other algebraic varieties. Although there is no precise dictionary connecting the two areas, the reader will gain a flavor of the correspondence from...
This book is designed to provide a path for the reader into an amalgamation oftwo venerable areas ofmathematics, Dynamical Systems and Number Theory. ...
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241,50 |
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An Introduction to Partial Differential Equations
ISBN: 9781441918208 / Angielski / Miękka / 434 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Partial differential equations are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis and algebraic topology. Like algebra, topology, and rational mechanics, partial differential equations are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate...
Partial differential equations are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to un...
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241,50 |
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Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
ISBN: 9783642259821 / Angielski / Miękka / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit...
These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent resu...
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Équations Aux Dérivées Partielles Elliptiques Non Linéaires
ISBN: 9783642361746 / Francuski / Miękka / 225 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Cet ouvrage est issu d'un cours de Master 2 enseigne a l'UPMC entre 2004 et 2007. Nous y presentons une selection de techniques mathematiques orientees vers la resolution des equations aux derivees partielles elliptiques semi-lineaires et quasi-lineaires. Apres un vade-mecum d'analyse reelle et d'analyse fonctionnelle de base pour les EDP, sans demonstrations pour les points les plus connus, nous parcourons ainsi les theoremes de point fixe classiques, les operateurs de superposition dans les espaces de Lebesgue et de Sobolev, la methode de Galerkin, les principes du maximum et la... Cet ouvrage est issu d'un cours de Master 2 enseigne a l'UPMC entre 2004 et 2007. Nous y presentons une selection de techniques mathematiques orien... |
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Differential Equations and Their Applications: An Introduction to Applied Mathematics
ISBN: 9780387978949 / Angielski / Twarda / 578 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as weil as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high Ievel of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems,...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disc...
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241,50 |
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Dynamical Systems: Examples of Complex Behaviour
ISBN: 9783540229087 / Angielski / Miękka / 190 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Our aim is to introduce, explain, and discuss the fundamental problems, ideas, concepts, results, and methods of the theory of dynamical systems and to show how they can be used in speci?c examples. We do not intend to give a comprehensive overview of the present state of research in the theory of dynamical systems, nor a detailed historical account of its development. We try to explain the important results, often neglecting technical re?nements 1 and, usually, we do not provide proofs. One of the basic questions in studying dynamical systems, i.e. systems that evolve in time, is the...
Our aim is to introduce, explain, and discuss the fundamental problems, ideas, concepts, results, and methods of the theory of dynamical systems and t...
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241,50 |
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Parameter Estimation in Stochastic Differential Equations
ISBN: 9783540744474 / Angielski / Miękka / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Parameter estimation in stochastic differential equations and stochastic partial differential equations is the science, art and technology of modeling complex phenomena. The subject has attracted researchers from several areas of mathematics. This volume presents the estimation of the unknown parameters in the corresponding continuous models based on continuous and discrete observations and examines extensively maximum likelihood, minimum contrast and Bayesian methods. Parameter estimation in stochastic differential equations and stochastic partial differential equations is the science, art and technology of model... |
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241,50 |
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Ordinary Differential Equations
ISBN: 9781461268345 / Angielski / Miękka / 384 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Based on a translation of the 6th edition of Gewohnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to...
Based on a translation of the 6th edition of Gewohnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional tr...
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241,50 |
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Green's Functions in the Theory of Ordinary Differential Equations
ISBN: 9781461495055 / Angielski / Miękka / 168 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides a complete and exhaustive study of the Green's functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive solutions by constructing operators defined in cones. The book will be of interest to graduate students and researchers interested in the theoretical underpinnings of boundary value problem...
This book provides a complete and exhaustive study of the Green's functions. Professor Cabada first proves the basic properties of Green's functions a...
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241,50 |
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Partial Differential Equations
ISBN: 9781493902477 / Angielski / Miękka / 410 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections between these fundamental types. Aspects of Brownian motion or pattern formation processes are also presented. The second part focuses on existence schemes and develops estimates for solutions of elliptic equations, such as Sobolev space theory, weak and strong solutions, Schauder estimates, and... This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the bas... |
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241,50 |
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Differential Equations: Theory and Applications
ISBN: 9781489982650 / Angielski / Miękka / 626 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book was written as a comprehensive introduction to the theory of ordinary di?erential equations with a focus on mechanics and dynamical systems as time-honored and important applications of this theory. H- torically, these were the applications that spurred the development of the mathematical theory and in hindsight they are still the best applications for illustrating the concepts, ideas, and impact of the theory. While the book is intended for traditional graduate students in mat- matics, thematerial is organized sothatthebookcan alsobeusedin awider setting within today's modern...
This book was written as a comprehensive introduction to the theory of ordinary di?erential equations with a focus on mechanics and dynamical systems ...
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cena:
241,50 |
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