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Harmonic Function Theory
ISBN: 9780387952185 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: basic properties of harmonic functions, Poisson integrals, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, harmonic Bergman spaces, the decomposition theorem, Laurent expansions, isolated singularities, and the Dirichlet problem. The new edition contains a completely rewritten...
This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level wil...
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cena:
342,95 zł |
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Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
ISBN: 9780387970172 / Angielski / Twarda / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The term "weakly differentiable functions" in the title refers to those inte- n grable functions defined on an open subset of R whose partial derivatives in the sense of distributions are either LP functions or (signed) measures with finite total variation. The former class of functions comprises what is now known as Sobolev spaces, though its origin, traceable to the early 1900s, predates the contributions by Sobolev. Both classes of functions, Sobolev spaces and the space of functions of bounded variation (BV func- tions), have undergone considerable development during the past 20 years....
The term "weakly differentiable functions" in the title refers to those inte- n grable functions defined on an open subset of R whose partial derivati...
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cena:
342,95 zł |
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The Very Basics of Tensors
ISBN: 9780595356942 / Angielski / Miękka / 137 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Tensor calculus is a generalization of vector calculus, and comes near of being a universal language in physics. Physical laws must be independent of any particular coordinate system used in describing them. This requirement leads to tensor calculus. The only prerequisites for reading this book are a familiarity with calculus (including vector calculus) and linear algebra, and some knowledge of differential equations.
Tensor calculus is a generalization of vector calculus, and comes near of being a universal language in physics. Physical laws must be independent of ...
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cena:
61,30 zł |
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Potential Theory and Degenerate Partial Differential Operators
ISBN: 9780792335962 / Angielski / Twarda / 185 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Recent years have witnessed an increasingly close relationship growing between potential theory, probability and degenerate partial differential operators. The theory of Dirichlet (Markovian) forms on an abstract finite or infinite-dimensional space is common to all three disciplines. This is a fascinating and important subject, central to many of the contributions to the conference on Potential Theory and Degenerate Partial Differential Operators', held in Parma, Italy, February 1994.
Recent years have witnessed an increasingly close relationship growing between potential theory, probability and degenerate partial differential opera...
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cena:
403,47 zł |
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Partial Differential Equations and Boundary Value Problems
ISBN: 9780792350569 / Angielski / Twarda / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The material of the present book has been used for graduate-level courses at the University of Ia i during the past ten years. It is a revised version of a book which appeared in Romanian in 1993 with the Publishing House of the Romanian Academy. The book focuses on classical boundary value problems for the principal equations of mathematical physics: second order elliptic equations (the Poisson equations), heat equations and wave equations. The existence theory of second order elliptic boundary value problems was a great challenge for nineteenth century mathematics and its development was...
The material of the present book has been used for graduate-level courses at the University of Ia i during the past ten years. It is a revised version...
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cena:
403,47 zł |
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Multiscale Potential Theory: With Applications to Geoscience
ISBN: 9780817641054 / Angielski / Twarda / 510 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the last few decades, the subject of potential theory has not been overly popular in the mathematics community. Neglected in favor of more abstract theories, it has been taught primarily where instructors have ac- tively engaged in research in this field. This situation has resulted in a scarcity of English language books of standard shape, size, and quality covering potential theory. The current book attempts to fill that gap in the literature. Since the rapid development of high-speed computers, the remarkable progress in highly advanced electronic measurement concepts, and, most of...
During the last few decades, the subject of potential theory has not been overly popular in the mathematics community. Neglected in favor of more abst...
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cena:
201,72 zł |
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Classical Potential Theory
ISBN: 9781852336189 / Angielski / Twarda / 333 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From its origins in Newtonian physics, potential theory has developed into a major field of mathematical research. This book provides a comprehensive treatment of classical potential theory: it covers harmonic and subharmonic functions, maximum principles, polynomial expansions, Green functions, potentials and capacity, the Dirichlet problem and boundary integral representations. The first six chapters deal concretely with the basic theory, and include exercises. The final three chapters are more advanced and treat topological ideas specifically created for potential theory, such as the fine...
From its origins in Newtonian physics, potential theory has developed into a major field of mathematical research. This book provides a comprehensive ...
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cena:
403,47 zł |
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Fractals in Graz 2001: Analysis -- Dynamics -- Geometry -- Stochastics
ISBN: 9783764370060 / Angielski / Twarda / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains the proceedings of the conference "Fractals in Graz 2001 - Analysis, Dynamics, Geometry, Stochastics" that was held in June 2001 at Graz University of Technology, Styria, Austria. The volume presents a multitude of different directions of active current research linked with the modern theory of fractal structures. All papers were written upon invitation by the editors. The book is addressed to mathematicians and scientists who are interested in any of the following topics: - fractal dimensions - fractal energies - fractal groups - stochastic processes on fractals -...
This book contains the proceedings of the conference "Fractals in Graz 2001 - Analysis, Dynamics, Geometry, Stochastics" that was held in June 2001 at...
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cena:
484,18 zł |
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holomorphic functions in the plane and n-dimensional space
ISBN: 9783764382711 / Angielski / Miękka / 412 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras. During the last 30 years the so-called quaternionic and Clifford or hypercomplex analysis successfully developed to a powerful theory with many applications in analysis, engineering and mathematical physics. This textbook introduces both to classical and higher-dimensional results based on a uniform notion of holomorphy. Historical remarks, lots of examples, figures and exercises accompany each chapter. Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real qu... |
cena:
201,72 zł |
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Theory of Spinors: An Introduction
ISBN: 9789812564726 / Angielski / Miękka / 228 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through the results obtained in general relativity theory by using spinors -- results that could not have been obtained by using tensor methods only. The foundation of the concept of spinors is groups; spinors appear as representations of groups. This textbook expounds the relationship between spinors and representations of groups. As is well known, spinors and representations are both widely used in the theory of elementary particles. The authors present...
Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through th...
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cena:
180,47 zł |
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Potential Theory - Selected Topics
ISBN: 9783540615835 / Angielski / Miękka / 202 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)-capacity theory, fine limits of the Nagel-Stein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic...
The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for...
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cena:
201,72 zł |
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Integral Operators in Potential Theory
ISBN: 9783540102274 / Angielski / Miękka / 178 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
100,67 zł |
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Höhere Analysis - Funktionentheorie und gewöhnliche Differentialgleichungen
ISBN: 9783486249040 / Niemiecki / Twarda / 275 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Schon immer suchten Mathematikstudenten und -studentinnen eine kompakte Darstellung der Funktionentheorie und der Differentialgleichungen. Sowohl fur das Diplom wie fur das hohere Lehramt gehoren beide Gebiete zum Prufungsstoff: hier ist das ideale Repetitorium, mit dem die Prufungsvorbereitung zum Erfolg wird. Ein wertvoller Begleiter von Vorlesungen wird das Buch durch seine Fulle an vollstandigen und sehr eleganten Beweisen auch von schwierigen Satzen. Schon immer suchten Mathematikstudenten und -studentinnen eine kompakte Darstellung der Funktionentheorie und der Differentialgleichungen. Sowohl f... |
cena:
468,31 zł |
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From Brownian Motion to Schrödinger's Equation
ISBN: 9783540570301 / Angielski / Twarda / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years, the study of the theory of Brownian motion has become a powerful tool in the solution of problems in mathematical physics. This self-contained and readable exposition by leading authors, provides a rigorous account of the subject, emphasizing the "explicit" rather than the "concise" where necessary, and addressed to readers interested in probability theory as applied to analysis and mathematical physics.
A distinctive feature of the methods used is the ubiquitous appearance of stopping time. The book contains much original research by the authors (some of which published... In recent years, the study of the theory of Brownian motion has become a powerful tool in the solution of problems in mathematical physics. This self-...
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cena:
403,47 zł |
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An Introduction to Involutive Structures
ISBN: 9780521878579 / Angielski / Twarda / 404 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some...
Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five...
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cena:
625,52 zł |
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Theorie Du Potentiel: Proceedings of the Colloque Jaques Deny Held at Orsay, June 20-23, 1983
ISBN: 9783540138945 / Francuski / Miękka / 582 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
181,38 zł |
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An Introduction to Mathematics of Emerging Biomedical Imaging
ISBN: 9783540795520 / Angielski / Miękka / 198 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book highlights recent mathematical developments in emerging biomedical imaging techniques, with a focus is on multi-physics and multi-scales imaging approaches. It provides the basic mathematical concepts and tools for image reconstruction. This book highlights recent mathematical developments in emerging biomedical imaging techniques, with a focus is on multi-physics and multi-scales ... |
cena:
201,56 zł |
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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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cena:
242,07 zł |
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Models for Smooth Infinitesimal Analysis
ISBN: 9780387974897 / Angielski / Twarda / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C?-manifolds will be explained.
The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary funct...
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cena:
605,23 zł |
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Fine Topology Methods in Real Analysis and Potential Theory
ISBN: 9783540164746 / Angielski / Miękka / 476 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Springer Book Archives
Springer Book Archives
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cena:
181,38 zł |
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