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170523s2017 enk ob 001 0 eng d |
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|a 987790925
|a 988021904
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|a 9780128114575
|q (electronic bk.)
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|a 0128114576
|q (electronic bk.)
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|z 0128114266
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|z 9780128114261
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| 035 |
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|a (OCoLC)987810722
|z (OCoLC)987790925
|z (OCoLC)988021904
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| 050 |
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4 |
|a QA320
|b .S33 2017
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| 072 |
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|a MAT
|x 005000
|2 bisacsh
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| 072 |
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|a MAT
|x 034000
|2 bisacsh
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0 |
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|a 515.7
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| 100 |
1 |
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|a Sacks, Paul.
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| 245 |
1 |
0 |
|a Techniques of functional analysis for differential and integral equations /
|c Paul Sacks.
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| 260 |
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|a London :
|b Academic Press,
|c 2017.
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| 300 |
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|a 1 online resource
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| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Mathematics in science and engineering
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0 |
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|a Front Cover; Techniques of Functional Analysis for Differential and Integral Equations; Copyright; Contents; Preface; Chapter 1: Some Basic Discussion of Differential and Integral Equations; 1.1 Ordinary Differential Equations; 1.1.1 Initial Value Problems; 1.1.2 Boundary Value Problems; 1.1.3 Some Exactly Solvable Cases; 1.2 Integral Equations; 1.3 Partial Differential Equations; 1.3.1 First Order PDEs and the Method of Characteristics; 1.3.2 Second Order Problems in R2; 1.3.3 Further Discussion of Model Problems; Wave Equation; Heat Equation; Laplace Equation.
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| 505 |
8 |
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|a 1.3.4 Standard Problems and Side Conditions1.4 Well-Posed and Ill-Posed Problems; 1.5 Exercises; Chapter 2: Vector Spaces; 2.1 Axioms of a Vector Space; 2.2 Linear Independence and Bases; 2.3 Linear Transformations of a Vector Space; 2.4 Exercises; Chapter 3: Metric Spaces; 3.1 Axioms of a Metric Space; 3.2 Topological Concepts; 3.3 Functions on Metric Spaces and Continuity; 3.4 Compactness and Optimization; 3.5 Contraction Mapping Theorem; 3.6 Exercises; Chapter 4: Banach Spaces; 4.1 Axioms of a Normed Linear Space; 4.2 Infinite Series; 4.3 Linear Operators and Functionals.
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| 505 |
8 |
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|a 4.4 Contraction Mappings in a Banach Space4.5 Exercises; Chapter 5: Hilbert Spaces; 5.1 Axioms of an Inner Product Space; 5.2 Norm in a Hilbert Space; 5.3 Orthogonality; 5.4 Projections; 5.5 Gram-Schmidt Method; 5.6 Bessel's Inequality and Infinite Orthogonal Sequences; 5.7 Characterization of a Basis of a Hilbert Space; 5.8 Isomorphisms of a Hilbert Space; 5.9 Exercises; Chapter 6: Distribution Spaces; 6.1 The Space of Test Functions; 6.2 The Space of Distributions; 6.3 Algebra and Calculus With Distributions; 6.3.1 Multiplication of Distributions; 6.3.2 Convergence of Distributions.
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8 |
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|a 6.3.3 Derivative of a Distribution6.4 Convolution and Distributions; 6.5 Exercises; Chapter 7: Fourier Analysis; 7.1 Fourier Series in One Space Dimension; 7.2 Alternative Forms of Fourier Series; 7.3 More About Convergence of Fourier Series; 7.4 The Fourier Transform on RN; 7.5 Further Properties of the Fourier Transform; 7.6 Fourier Series of Distributions; 7.7 Fourier Transforms of Distributions; 7.8 Exercises; Chapter 8: Distributions and Differential Equations; 8.1 Weak Derivatives and Sobolev Spaces; 8.2 Differential Equations in D'; 8.3 Fundamental Solutions.
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| 505 |
8 |
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|a 8.4 Fundamental Solutions and the Fourier Transform8.5 Fundamental Solutions for Some Important PDEs; Laplace Operator; Heat Operator; Wave Operator; Schr�odinger Operator; Helmholtz Operator; Klein-Gordon Operator; Biharmonic Operator; 8.6 Exercises; Chapter 9: Linear Operators; 9.1 Linear Mappings Between Banach Spaces; 9.2 Examples of Linear Operators; 9.3 Linear Operator Equations; 9.4 The Adjoint Operator; 9.5 Examples of Adjoints; 9.6 Conditions for Solvability of Linear Operator Equations; 9.7 Fredholm Operators and the Fredholm Alternative; 9.8 Convergence of Operators; 9.9 Exercises.
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| 504 |
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|a Includes bibliographical references and index.
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| 650 |
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0 |
|a Functional analysis.
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| 650 |
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0 |
|a Differential equations.
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| 650 |
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0 |
|a Integral equations.
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| 650 |
|
6 |
|a Analyse fonctionnelle.
|0 (CaQQLa)201-0001196
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| 650 |
|
6 |
|a �Equations diff�erentielles.
|0 (CaQQLa)201-0003667
|
| 650 |
|
6 |
|a �Equations int�egrales.
|0 (CaQQLa)201-0003669
|
| 650 |
|
7 |
|a MATHEMATICS
|x Calculus.
|2 bisacsh
|
| 650 |
|
7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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| 650 |
|
7 |
|a Differential equations
|2 fast
|0 (OCoLC)fst00893446
|
| 650 |
|
7 |
|a Functional analysis
|2 fast
|0 (OCoLC)fst00936061
|
| 650 |
|
7 |
|a Integral equations
|2 fast
|0 (OCoLC)fst00975507
|
| 776 |
0 |
8 |
|i Print version:
|a Sacks, Paul.
|t Techniques of functional analysis for differential and integral equations.
|d London : Academic Press, 2017
|z 0128114266
|z 9780128114261
|w (OCoLC)964299852
|
| 830 |
|
0 |
|a Mathematics in science and engineering.
|
| 856 |
4 |
0 |
|u https://sciencedirect.uam.elogim.com/science/book/9780128114261
|z Texto completo
|
