| Description |
1 online resource : text file, PDF |
| Contents |
Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; To the Reader; Acknowledgments; PART I: The World According to Wavelets; Prologue; I: Fourier Analysis: A Poem Transforms Our World; II: Seeking New Tools; III: A New Language Acquires a Grammar; IV: Applications; V: Beyond Wavelets; PART II: Beyond Plain English; Apologia; 1: The Fourier Transform; 2: The Convergence of Fourier Series and the Stability of the Solar System; 3: Computing Fourier Coefficients with Integrals; 4: The Fast Fourier Transform; 5: The Continuous Wavelet Transform |
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6: Orthogonality and Scalar Products7: Multiresolution; 8: The Fast Wavelet Transform; 9: Wavelets in Two Dimensions; 10: Pyramid Algorithms of Burt and Adelson; 11: Multiwavelets; 12: The Heisenberg Uncertainty Principle and Time-Frequency Decompositions; 13: Probability, Heisenberg, and Quantum Mechanics; 14: Traveling from One Function Space to Another: Wavelets and Pure Mathematics; 15: Wavelets and Vision: Another Perspective; 16: Which Wavelet?; 17: Different Transforms: A Summary; 18: Wavelets, Music, and Speech; 19: The Lifting Scheme; 20: Best Basis; PART III: Appendices |
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A: Mathematical SymbolsB: A Review of Some Elementary Trigonometry; C: Integrals; D: The Fourier Transform: The Different Conventions; E: The Sampling Theorem: A Proof; F: The Heisenberg Uncertainty Principle: A Proof; G: The Fourier Transform of a Periodic Function; H: An Example of an Orthonormal Basis and a Proof of Fourier's Result; Further Reading; Wavelet Software and Electronic Resources; References; Index |
| Summary |
"This best-selling book introduces a broad audience including scientists and engineers working in a variety of fields as well as mathematicians from other subspecialties to one of the most active new areas of applied mathematics and the story of its discovery and development. Organized in "hypertext fashion," the book tells a story of scientific discovery with separate brief entries for technical terms and explicit appendices in a section called "Beyond Plain English.""--Provided by publisher |
| Bibliography |
Includes bibliographical references (pages 244-250) and index |
| Subject |
Differential equations.
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Differential equations
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Wavelet
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| Form |
Electronic book
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| ISBN |
9781439864555 |
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1439864551 |
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