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The Riemann Approach to Integration: Local Geometric Theory
ISBN: 9780521440356 / Angielski / Twarda / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents a detailed and mostly elementary exposition of the generalized Riemann-Stieltjes integrals discovered by Henstock, Kurzweil, and McShane. Along with the classical results, it contains some recent developments connected with lipeomorphic change of variables and the divergence theorem for discontinuously differentiable vector fields.
This book presents a detailed and mostly elementary exposition of the generalized Riemann-Stieltjes integrals discovered by Henstock, Kurzweil, and Mc...
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cena:
535,26 |
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Microlocal Analysis for Differential Operators: An Introduction
ISBN: 9780521449861 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This short introduction to microlocal analysis is presented, in the spirit of Hormander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjostrand emphasize the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions.
This short introduction to microlocal analysis is presented, in the spirit of Hormander, in the classical framework of partial differential equations....
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cena:
303,26 |
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Introduction to HP Spaces
ISBN: 9780521455213 / Angielski / Twarda / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first edition of this well-known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete point of view (in the unit circle and the half plane). This second edition retains many of the features found in the first--detailed computation, an emphasis on methods--but greatly extends its coverage. The discussions of conformal mapping now include Lindelof's second theorem and the one due to Kellogg. A simple derivation of the atomic decomposition for RH1 is given, and then used to provide an alternative proof of Fefferman's duality theorem....
The first edition of this well-known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete poin...
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cena:
539,90 |
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Ergodic Theory and Harmonic Analysis: Proceedings of the 1993 Alexandria Conference
ISBN: 9780521459990 / Angielski / Miękka / 448 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains articles that describe the connections between ergodic theory and convergence, rigidity theory, and the theory of joinings. These papers present the background of each area of interaction, the most outstanding recent results, and the currently promising lines of research. In the aggregate, they will provide a perfect introduction for anyone beginning research in one of these areas.
This volume contains articles that describe the connections between ergodic theory and convergence, rigidity theory, and the theory of joinings. These...
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cena:
298,62 |
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Multivalent Functions
ISBN: 9780521460262 / Angielski / Twarda / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The class of multivalent functions is an important one in complex analysis. They occur for example in the proof of De Branges' Theorem, which in 1985 settled the long-standing Bieberbach conjecture. The second edition of Professor Hayman's celebrated book contains a full and self-contained proof of this result, with a new chapter devoted to it. Another new chapter deals with coefficient differences. The text has been updated in several other ways, with recent theorems of Baernstein and Pommerenke on univalent functions of restricted growth, and an account of the theory of mean p-valent...
The class of multivalent functions is an important one in complex analysis. They occur for example in the proof of De Branges' Theorem, which in 1985 ...
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cena:
539,90 |
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Potential Theory in the Complex Plane
ISBN: 9780521461207 / Angielski / Twarda / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analysis. This is reflected in the large number of applications, which include Picard's theorem, the Phragmen-Lindelof principle, the Rado-Stout theorem, Lindelof's theory of asymptotic values, the Riemann mapping theorem (including continuity at the boundary), the Koebe one-quarter theorem, Hilbert's lemniscate theorem, and the sharp quantitative form of Runge's theorem. In addition, there is a chapter on connections with functional analysis and...
Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analys...
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cena:
572,38 |
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Invariant Potential Theory in the Unit Ball of Cn
ISBN: 9780521468305 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph covers Poisson-Szego integrals on the ball, the Green's function for DEGREESD*D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. It also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Greens potentials. Applications of some of the results to Hp spaces, and...
This monograph covers Poisson-Szego integrals on the ball, the Green's function for DEGREESD*D and the Riesz decomposition theorem for invariant subha...
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cena:
229,02 |
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Geometric Control Theory
ISBN: 9780521495028 / Angielski / Twarda / 512 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book describes the mathematical theory inspired by the irreversible nature of time-evolving events. The first part of the book deals with the ability to steer a system from any point of departure to any desired destination. The second part deals with optimal control--the problem of finding the best possible course. The author demonstrates an overlap with mathematical physics using the maximum principle, a fundamental concept of optimality arising from geometric control, which is applied to time-evolving systems governed by physics as well as to man-made systems governed by controls. He...
This book describes the mathematical theory inspired by the irreversible nature of time-evolving events. The first part of the book deals with the abi...
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cena:
757,97 |
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Geometric Scattering Theory
ISBN: 9780521496735 / Angielski / Twarda / 132 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an overview of scattering theory. The author shows how this theory provides a parametrization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. In the first two lectures the author describes the simple and fundamental case of the Laplacian on Euclidean space to introduce the theory's basic framework. In the next three lectures, he outlines various results on Euclidean scattering, and the methods used to prove them. In the last three lectures he extends these ideas to non-Euclidean settings.
This book is an overview of scattering theory. The author shows how this theory provides a parametrization of the continuous spectrum of an elliptic o...
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cena:
423,90 |
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Geometric Scattering Theory
ISBN: 9780521498104 / Angielski / Miękka / 132 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an overview of scattering theory. The author shows how this theory provides a parametrization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. In the first two lectures the author describes the simple and fundamental case of the Laplacian on Euclidean space to introduce the theory's basic framework. In the next three lectures, he outlines various results on Euclidean scattering, and the methods used to prove them. In the last three lectures he extends these ideas to non-Euclidean settings.
This book is an overview of scattering theory. The author shows how this theory provides a parametrization of the continuous spectrum of an elliptic o...
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cena:
173,33 |
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Course Modern Analysis Applications
ISBN: 9780521526272 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Designed for one-semester courses at the senior undergraduate level, this book is written for mathematics students and teachers, as well as others needing to learn mathematical analysis for engineering, physics, biology or finance. Nominal divisions between pure and applied mathematics have been merged to provide easier access. Applications are included from differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics.
Designed for one-semester courses at the senior undergraduate level, this book is written for mathematics students and teachers, as well as others nee...
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cena:
512,52 |
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The Numerical Solution of Integral Equations of the Second Kind
ISBN: 9780521583916 / Angielski / Twarda / 572 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A comprehensive, up-to-date, and accessible introduction to the numerical solution of a large class of integral equations, this book builds an important foundation for the numerical analysis of these equations. It provides a general framework for the degenerate kernel, projection, and Nystrom methods and includes an introduction to the numerical solution of boundary integral equations (also known as boundary element methods). It is an excellent resource for graduate students and researchers trying to solve integral equation problems and for engineers using boundary element methods.
A comprehensive, up-to-date, and accessible introduction to the numerical solution of a large class of integral equations, this book builds an importa...
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cena:
516,69 |
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Equilibrium States in Ergodic Theory
ISBN: 9780521595346 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides a detailed introduction to the ergodic theory of equilibrium states giving equal weight to two of its most important applications, namely to equilibrium statistical mechanics on lattices and to (time discrete) dynamical systems. It starts with a chapter on equilibrium states on finite probability spaces that introduces the main examples for the theory on an elementary level. After two chapters on abstract ergodic theory and entropy, equilibrium states and variational principles on compact metric spaces are introduced, emphasizing their convex geometric interpretation....
This book provides a detailed introduction to the ergodic theory of equilibrium states giving equal weight to two of its most important applications, ...
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cena:
238,30 |
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Topics in Ergodic Theory
ISBN: 9780521604901 / Angielski / Miękka / 124 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Ergodic theory grew out of an important problem of statistical mechanics which was resolved by Birkhoff and von Neumann in the 1930s. Since that time the subject has made its way to the centre of pure mathematics, drawing on the techniques of many other areas and, in turn, influencing those areas. The author has provided in this slim volume a speedy introduction to a considerable number of topics and examples. He includes sections on the classical ergodic theorems, topological dynamics, uniform distribution, Martingales, information theory and entropy. There is a chapter on mixing and one on...
Ergodic theory grew out of an important problem of statistical mechanics which was resolved by Birkhoff and von Neumann in the 1930s. Since that time ...
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cena:
243,04 |
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Hausdorff Measures
ISBN: 9780521624916 / Angielski / Miękka / 228 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. When originally published, this text was the first general account of Hausdorff measures, a subject that has important applications in many fields of mathematics. The first of the three chapters contains an introduction to measure theory, paying particular attention to the study of non-sigma-finite measures. The second chapter develops the most general aspects of the theory of Hausdorff measures, and the final chapter gives a general survey of applications of Hausdorff measures followed by detailed accounts of two special applications. This new edition has a foreword by Kenneth Falconer...
When originally published, this text was the first general account of Hausdorff measures, a subject that has important applications in many fields of ...
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cena:
275,42 |
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Calculus of Variations
ISBN: 9780521642033 / Angielski / Twarda / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues such as Euler-Lagrange equations are treated, as are Noether's theorem, Hamilton-Jacobi theory, and in particular geodesic lines, thereby developing some important geometric and topological aspects. The basic ideas of optimal control theory are also given. The second part of the book deals with multiple integrals. After a review of Lebesgue integration, Banach and Hilbert space theory and Sobolev spaces (with complete and detailed...
This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classic...
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cena:
614,13 |
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Asymptotics and Mellin-Barnes Integrals
ISBN: 9780521790017 / Angielski / Twarda / 440 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Asymptotics and Mellin-Barnes Integrals provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics. After developing the properties of these integrals, their use in determining the asymptotic behavior of special functions is detailed. Although such integrals have a long history, the book's account includes recent research results in analytic number theory and hyperasymptotics. The book also fills a gap in the literature on asymptotic...
Asymptotics and Mellin-Barnes Integrals provides an account of the use and properties of a type of complex integral representation that arises frequen...
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cena:
628,06 |
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Derivation and Integration
ISBN: 9780521792684 / Angielski / Twarda / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book, devoted to an invariant multidimensional process of recovering a function from its derivative, considers additive functions defined on the family of all bounded BV sets that are continuous with respect to a suitable topology. The main applications are related to the Gauss-Green and Stokes theorems. The book contains complete and detailed proofs of all new results, and of many known results for which the references are not easily available. It will provide valuable information to research mathematicians and advanced graduate students interested in geometric integration and related...
This book, devoted to an invariant multidimensional process of recovering a function from its derivative, considers additive functions defined on the ...
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cena:
539,90 |
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Characters and Automorphism Groups of Compact Riemann Surfaces
ISBN: 9780521798099 / Angielski / Miękka / 212 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The author uses modern methods from computational group theory and representation theory to treat this classical topic of function theory. He provides classifications of all automorphism groups up to genus 48. The book also classifies the ordinary characters for several groups, arising from the action of automorphisms on the space of holomorphic abelian differentials of a compact Reimann surface. This book is suitable for graduate students and researchers in group theory, representation theory, complex analysis and computer algebra.
The author uses modern methods from computational group theory and representation theory to treat this classical topic of function theory. He provides...
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cena:
293,98 |
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Collocation Methods for Volterra Integral and Related Functional Differential Equations
ISBN: 9780521806152 / Angielski / Twarda / 612 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first comprehensive introduction to collocation methods for the numerical solution of initial-value problems for ordinary differential equations, Volterra integral and integro-differential equations, and various classes of more general functional equations. It guides the reader from the "basics" to the current state-of-the-art level of the field, describes important problems and directions for future research, and highlights methods. The analysis includes numerous exercises and applications to the modelling of physical and biological phenomena.
This is the first comprehensive introduction to collocation methods for the numerical solution of initial-value problems for ordinary differential equ...
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cena:
771,90 |
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