Matches in Harvard for { ?s ?p 0. Notation and Terminology -- 1. Basic Concepts in Set Theory -- 2. Calculus Notation -- 3. Useful Trigonometric Formulae -- 1. Background: Inner Product Spaces -- 1. Linear and Inner Product Spaces -- 2. Norm -- 3. Orthogonal and Orthonormal Systems -- 4. Orthogonal Projections and Approximation in the Mean -- 5. Infinite Orthonormal Systems -- 2. Fourier Series -- 1. Definitions -- 2. Evenness, Oddness, and Additional Examples -- 3. Complex Fourier Series -- 4. Pointwise Convergence and Dirichlet's Theorem -- 5. Uniform Convergence -- 6. Parseval's Identity -- 7. Gibbs Phenomenon -- 8. Sine and Cosine Series -- 9. Differentiation and Integration of Fourier Series -- 10. Fourier Series on Other Intervals -- 11. Applications to Partial Differential Equations -- 3. Fourier Transform -- 1. Definitions and Basic Properties -- 2. Examples -- 3. Properties and Formulae -- 4. Inverse Fourier Transform and Plancherel's Identity -- 5. Convolution -- 6. Applications of the Residue Theorem -- 7. Applications to Partial Differential Equations -- 8. Applications to Signal Processing -- 4. Laplace Transform -- 1. Definition and Examples -- 2. More Formulae and Examples -- 3. Applications to Ordinary Differential Equations -- 4. Heaviside and Dirac-Delta Functions -- 5. Convolution -- 6. More Examples and Applications -- 7. More Inverse Transform Formula -- 8. Applications of the Inverse Transform. App. A. Residue Theorem and Related Results -- App. B. Leibniz's Rule and Fubini's Theorem.. }
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- catalog description "0. Notation and Terminology -- 1. Basic Concepts in Set Theory -- 2. Calculus Notation -- 3. Useful Trigonometric Formulae -- 1. Background: Inner Product Spaces -- 1. Linear and Inner Product Spaces -- 2. Norm -- 3. Orthogonal and Orthonormal Systems -- 4. Orthogonal Projections and Approximation in the Mean -- 5. Infinite Orthonormal Systems -- 2. Fourier Series -- 1. Definitions -- 2. Evenness, Oddness, and Additional Examples -- 3. Complex Fourier Series -- 4. Pointwise Convergence and Dirichlet's Theorem -- 5. Uniform Convergence -- 6. Parseval's Identity -- 7. Gibbs Phenomenon -- 8. Sine and Cosine Series -- 9. Differentiation and Integration of Fourier Series -- 10. Fourier Series on Other Intervals -- 11. Applications to Partial Differential Equations -- 3. Fourier Transform -- 1. Definitions and Basic Properties -- 2. Examples -- 3. Properties and Formulae -- 4. Inverse Fourier Transform and Plancherel's Identity -- 5. Convolution -- 6. Applications of the Residue Theorem -- 7. Applications to Partial Differential Equations -- 8. Applications to Signal Processing -- 4. Laplace Transform -- 1. Definition and Examples -- 2. More Formulae and Examples -- 3. Applications to Ordinary Differential Equations -- 4. Heaviside and Dirac-Delta Functions -- 5. Convolution -- 6. More Examples and Applications -- 7. More Inverse Transform Formula -- 8. Applications of the Inverse Transform. App. A. Residue Theorem and Related Results -- App. B. Leibniz's Rule and Fubini's Theorem.".
- catalog tableOfContents "0. Notation and Terminology -- 1. Basic Concepts in Set Theory -- 2. Calculus Notation -- 3. Useful Trigonometric Formulae -- 1. Background: Inner Product Spaces -- 1. Linear and Inner Product Spaces -- 2. Norm -- 3. Orthogonal and Orthonormal Systems -- 4. Orthogonal Projections and Approximation in the Mean -- 5. Infinite Orthonormal Systems -- 2. Fourier Series -- 1. Definitions -- 2. Evenness, Oddness, and Additional Examples -- 3. Complex Fourier Series -- 4. Pointwise Convergence and Dirichlet's Theorem -- 5. Uniform Convergence -- 6. Parseval's Identity -- 7. Gibbs Phenomenon -- 8. Sine and Cosine Series -- 9. Differentiation and Integration of Fourier Series -- 10. Fourier Series on Other Intervals -- 11. Applications to Partial Differential Equations -- 3. Fourier Transform -- 1. Definitions and Basic Properties -- 2. Examples -- 3. Properties and Formulae -- 4. Inverse Fourier Transform and Plancherel's Identity -- 5. Convolution -- 6. Applications of the Residue Theorem -- 7. Applications to Partial Differential Equations -- 8. Applications to Signal Processing -- 4. Laplace Transform -- 1. Definition and Examples -- 2. More Formulae and Examples -- 3. Applications to Ordinary Differential Equations -- 4. Heaviside and Dirac-Delta Functions -- 5. Convolution -- 6. More Examples and Applications -- 7. More Inverse Transform Formula -- 8. Applications of the Inverse Transform. App. A. Residue Theorem and Related Results -- App. B. Leibniz's Rule and Fubini's Theorem.".