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  • Integral Methods in Science and Engineering

    Theoretical and Computational Advances

    Collections series Springer Nature Proceedings excluding Computer Science
    This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Thirteenth International Conference on Integral Methods in Science and ... En savoir plus

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  • An Introduction to the Mathematical Theory of Inverse Problems

    par Andreas Kirsch ...
    Collections series Mathematics and Statistics (R0)
    This graduate-level textbook introduces the reader to the area of inverse problems, vital to many fields including geophysical exploration, system identification, nondestructive testing, and ultrasonic tomography. It aims to expose the basic notions and difficulties encountered with ill-posed problems, analyzing basic properties of regularization methods for ill-posed problems via several simple ... En savoir plus

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  • An Introduction to the Mathematical Theory of Inverse Problems

    par Andreas Kirsch ...
    Collections series Mathematics and Statistics (R0)
    This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography.The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed ... En savoir plus

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  • The Mathematical Theory of Time-Harmonic Maxwell's Equations

    Expansion-, Integral-, and Variational Methods

    Collections series Mathematics and Statistics (R0)
    This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful ... En savoir plus

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    Tough Test Questions? Missed Lectures? Not Enough Time? Textbook too Pricey?Fortunately, there's Schaum's. This all-in-one-package includes more than 600 fully-solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos featuring math instructors who explain how to solve the most commonly tested problems--it's just like ... En savoir plus

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  • Equations Involving Malliavin Calculus Operators

    Applications and Numerical Approximation

    Collections series Mathematics and Statistics (R0)
    This book provides a comprehensive and unified introduction to stochastic differential equations and related optimal control problems. The material is new and the presentation is reader-friendly. A major contribution of the book is the development of generalized Malliavin calculus in the framework of white noise analysis, based on chaos expansion representation of stochastic processes and its ... En savoir plus

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  • Fourier Analysis

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    This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an ... En savoir plus

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  • Linear Algebra

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    Linear Algebra is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan ... En savoir plus

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  • Lectures on Constructive Approximation

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  • Integral Equations on Time Scales

    Collections series Mathematics and Statistics (R0)
    This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book ... En savoir plus

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  • Spherical Harmonics and Approximations on the Unit Sphere: An Introduction

    Collections series Mathematics and Statistics (R0)
    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 ... En savoir plus

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  • Approximation with Positive Linear Operators and Linear Combinations

    Collections series Mathematics and Statistics (R0)
    This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , ... En savoir plus

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