Measure and Integral, Martin Brokate; G?tz Kersting
Автор: D. Denneberg Название: Non-Additive Measure and Integral ISBN: 9048144043 ISBN-13(EAN): 9789048144044 Издательство: Springer Рейтинг: Цена: 29209.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Non-Additive Measure and Integral collects the results of scattered and often isolated approaches to non-additive measures and their integrals which originate in pure mathematics, potential theory, statistics, game theory, economic decision theory and other fields of application.
Автор: Capinski Название: Measure, Integral and Probability ISBN: 1852337818 ISBN-13(EAN): 9781852337810 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete examples rather than abstract theory. For this second edition, the text has been thoroughly revised and expanded. New features include: В· a substantial new chapter, featuring a constructive proof of the Radon-Nikodym theorem, an analysis of the structure of Lebesgue-Stieltjes measures, the Hahn-Jordan decomposition, and a brief introduction to martingales В· key aspects of financial modelling, including the Black-Scholes formula, discussed briefly from a measure-theoretical perspective to help the reader understand the underlying mathematical framework. In addition, further exercises and examples are provided to encourage the reader to become directly involved with the material.
Описание: This self-contained book is devoted to the study of the acoustic wave equations and the Maxwell system, the two most common waves equations that are encountered in physics or in engineering. It presents a detailed analysis of their mathematical and physical properties. In particular, the author focuses on the study of the harmonic exterior problems, building a mathematical framework which provides the existence and uniqueness of the solutions. Acoustic and electromagnetic waves underlie a vast range of modern technology from sonar, radio, and television to microwave heating and electromagnetic compatibility analysis. Mathematical modeling of these waves has undergone considerable growth in recent years, and this timely book, written by a leading international researcher, presents the research in a careful and complete way.
Автор: Hackbusch Wolfgang Название: Integral Equations / Theory and Numerical Treatment ISBN: 3764328711 ISBN-13(EAN): 9783764328719 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abel's integral equations and the singular integral equation with the Cauchy kernel; others focus on the integral equation method and the boundary element method (BEM). While a small section affords some theoretical grounding in integral equations (covering existence, regularity, etc.), the larger part of the book is devoted to a description and analysis of the discretisation methods (Galerkin / collocation / NystrГ¶m). Also the multigrid method for the solution of discrete equations is analysed. The most prominent application of integral equations occurs in the use of the boundary element method, which here is discussed from the numerical point of view in particular. New results about numerical integration and the panel clustering technique are included. Many chapters have an introductory character, while special subsections give more advanced information. Intended readers are students of mathematics as well as postgraduates.
Автор: Vigirdas Mackevicius Название: Integral and Measure ISBN: 1848217692 ISBN-13(EAN): 9781848217690 Издательство: Wiley Рейтинг: Цена: 22010.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book is devoted to integration, one of the two main operations in calculus.
In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop the practical skills of integration as well as, on the other hand, in Part 2, to pass naturally to the more general Lebesgue integral. Based on the latter, in Part 2, the author develops a theory of integration for functions of several variables. In Part 3, within the same methodological scheme, the author presents the elements of theory of integration in an abstract space equipped with a measure; we cannot do without this in functional analysis, probability theory, etc. The majority of chapters are complemented with problems, mostly of the theoretical type.
The book is mainly devoted to students of mathematics and related specialities. However, Part 1 can be successfully used by any student as a simple introduction to integration calculus.
Автор: Wheeden Название: Measure and Integral ISBN: 1498702899 ISBN-13(EAN): 9781498702898 Издательство: Taylor&Francis Рейтинг: Цена: 17609.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less geometric content.
Published nearly forty years after the first edition, this long-awaited Second Edition also:
Studies the Fourier transform of functions in the spaces L1, L2, and Lp, 1 p
Shows the Hilbert transform to be a bounded operator on L2, as an application of the L2 theory of the Fourier transform in the one-dimensional case
Covers fractional integration and some topics related to mean oscillation properties of functions, such as the classes of Hцlder continuous functions and the space of functions of bounded mean oscillation
Derives a subrepresentation formula, which in higher dimensions plays a role roughly similar to the one played by the fundamental theorem of calculus in one dimension
Extends the subrepresentation formula derived for smooth functions to functions with a weak gradient
Applies the norm estimates derived for fractional integral operators to obtain local and global first-order Poincarй-Sobolev inequalities, including endpoint cases
Proves the existence of a tangent plane to the graph of a Lipschitz function of several variables
Includes many new exercises not present in the first edition
This widely used and highly respected text for upper-division undergraduate and first-year graduate students of mathematics, statistics, probability, or engineering is revised for a new generation of students and instructors. The book also serves as a handy reference for professional mathematicians.
Автор: Lev A. Sakhnovich Название: Integral Equations with Difference Kernels on Finite Intervals ISBN: 3319307630 ISBN-13(EAN): 9783319307633 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Applications of the obtained results to optimal synthesis, light scattering, diffraction, and hydrodynamics problems are discussed in this book, which also describes how the theory of operators with difference kernels is applied to stable processes and used to solve the famous M.
Автор: Lev A. Sakhnovich Название: Integral Equations with Difference Kernels on Finite Intervals ISBN: 3319164880 ISBN-13(EAN): 9783319164885 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Applications of the obtained results to optimal synthesis, light scattering, diffraction, and hydrodynamics problems are discussed in this book, which also describes how the theory of operators with difference kernels is applied to stable processes and used to solve the famous M.
Автор: Elimhan Mahmudov Название: Single Variable Differential and Integral Calculus ISBN: 9462390401 ISBN-13(EAN): 9789462390409 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book covers single variable differential and integral calculus, with applied examples in important business fields. Covers real and complex numbers, topological properties of sets, series and sequences of functions, polynomials and interpolation and more.
Автор: Christian Constanda; Bardo E.J. Bodmann; Haroldo F Название: Integral Methods in Science and Engineering ISBN: 1489996184 ISBN-13(EAN): 9781489996183 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
1 Multiphase Flow Splitting in Looped Pipelines.- 2 Green's Function Decomposition Method for Transport Equation.- 3 Integral Neutron Transport and New Computational Methods: A Review.- 4 Scale Invariance and Some Limits in Transport Phenomenology: Existence of a Spontaneous Scale.- 5 On Coherent Structures from a Diffusion-Type Model.- 6 Numerical Simulation of the Dynamics of Molecular Markers Involved in Cell Polarization.- 7 Analytical Study of Computational Radiative Fluxes in a Heterogeneous Medium.- 8 A Novel Approach to the Hankel Transform Inversion of the Neutron Diffusion Problem Using the Parseval Identity.- 9 What Is Convergence Acceleration Anyway?.- 10 On the Fractal Pattern Phenomenology of Geological Fracture Signatures from a Scaling Law.- 11 Spectral Boundary Homogenization Problems in Perforated Domains with Robin Boundary Conditions and Large Parameters.- 12 A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data.- 13 On the Convergence of the Multi-Group Isotropic Neutron LTSN Nodal Solution in Cartesian Geometry.- 14 Numerical Integration with Singularity by Taylor Series.- 15 Numerical Solutions of the 1D Convection-Diffusion-Reaction and the Burgers Equation Using Implicit Multi-Stage and Finite Element Methods.- 16 Analytical Reconstruction of Monoenergetic Neutron Angular Flux in Non-multiplying Slabs Using Diffusion Synthetic Approximation.- 17 On the Fractional Neutron Point Kinetics Equations.- 18 On a Closed Form Solution of the Point Kinetics Equations With a Modified Temperature Feedback.- 19 Eulerian Modeling of Radionuclides in Surficial Waters: The Case of Ilha Grande Bay (RJ, Brazil).- 20 Fractional Calculus: Application in Modeling and Control.- 21 Modified Integral Equation Method for Stationary Plate Oscillations.- 22 Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates.- 23 A Genuine Analytical Solution for the SN Multi-Group Neutron Equation in Planar Geometry.- 24 Single-Phase Flow Instabilities: Effect of Pressure Waves in a Pump-Pipe-Plenum-Choke System.- 25 Two-Phase Flow Instabilities in Oil Wells: ESP Oscillatory Behavior and Casing-Heading.- 26 Validating a Closed Form Advection-Diffusion Solution by Experiments: Tritium Dispersion after Emission from the Brazilian Angra Dos Reis Nuclear Power Plant.- Index.
Автор: Valery V. Volchkov; Vitaly V. Volchkov Название: Offbeat Integral Geometry on Symmetric Spaces ISBN: 3034808003 ISBN-13(EAN): 9783034808002 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book surveys the development of integral geometry on domains of homogeneous spaces, covering analysis of multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group.
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