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- 内容細目Preface 1. Introduction : 1.1. A tour through theory and applica......s ; 1.2. Types of inverse proble......ional analytic tools : 2.1. Norm......es, elementary topology and comp......al systems and Fourier expansion ; 2........ Bounded operators, Neumann ser....... Adjoint operators, eigenvalues......weak solutions to boundary value......roblems ; 2.6. The Fréchet deriv...... 3. Approaches to regularization......methods ; 3.2. The Moore-Penrose ......ive approaches to inverse problems 4. A stochastic view of inverse problems : 4.1. Stochastic estimators based on ens......er 4.5. Basic stochastic concept......4D-VAR) ; 5.4. The Kalman filter and Kalman smoo...
- 件名Inverse problems (Differential equations) Stochastic processes.
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- 内容細目1. Introduction 2. Differentia......grations 4. Vector and tensor 5.......ns and complex integrals 7. Conformal m......ntial equation of the first-order 9.......l fuctions 10. Fourier series and int......s 15. Solution of nonlinear equa......ods 17. Method of boundary-layer theory 18. Variational method 19....
- 件名Hydraulic engineering--Mathematics. Differential equations...
- 資料の内容に関する注記... and reference to treating nonlinear mathematical problems in hydraulic,...
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- 内容細目Reminders : convergence of sequences and series Measure theory and the Lebesgue integ......ilbert spaces, Fourier series Fourier transform of functions Fourier transform of distributions The Laplace transf......l applications of the Fourier transform Bras...... all that sort of thing Green fu......epresentations Introduction to probability theory Random vari......es Convergence of random variabl...... central limit theorem Reminders concerning topology and normed vector spaces Elementary reminders of differential c......rices A few proofs.
- 件名Mathematical physics. Mathematical physics......rcises, etc. Mathématiques. Mathématiques -- Pro......es. Physique mathématique. Physique mathématique -- Problèmes et exerci...
- 一般注記Related URL: Contributor biographical ......ted URL: Table of contents only ......n French under the title Mathématiques pour la physique... e...
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- 件名Fourier series
- 件名(識別子)Fourier series
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- 件名Fourier series フーリエ積分
- 件名(識別子)Fourier series フーリエ積分
- 一般注記"The book may be read as a sequel to my Theory of functions."--P......moirs referred to in the text": p. 371-391 Includes in...
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- 一般注記... republication of the third edition, published by M...
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- 件名Fourier series. Integrals, Definite.
- 一般注記A revised edition of pt. 1 of the author's Introduction to the theory of Fourier's series and integrals and the mathematical theory of the conduction of heat. London, 1906. The 2d edition of pt. 2 appeared under title: Introduction to the mathematical theory of the conduction of heat in solids. London, 1921.
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- 関連情報Dover books on advanced mathematics
- 掲載誌Dover books on advanced mathematics
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