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| To the Reader | ||
| Acknowledgments | ||
| Fourier Analysis: A Poem Transforms Our World | 5 | |
| Seeking New Tools | 21 | |
| A New Language Acquires a Grammar | 39 | |
| Applications | 57 | |
| Beyond Wavelets | 91 | |
| The Fourier Transform | 117 | |
| The Convergence of Fourier Series and the Stability of the Solar System | 125 | |
| Computing Fourier Coefficients with Integrals | 137 | |
| The Fast Fourier Transform | 141 | |
| The Continuous Wavelet Transform | 149 | |
| Orthogonality and Scalar Products | 153 | |
| Multiresolution | 165 | |
| The Fast Wavelet Transform | 183 | |
| Wavelets in Two Dimensions | 193 | |
| Pyramid Algorithms of Burt and Adelson | 199 | |
| Multiwavelets | 201 | |
| The Heisenberg Uncertainty Principle and Time-Frequency Decompositions | 203 | |
| Probability, Heisenberg, and Quantum Mechanics | 209 | |
| Traveling from One Function Space to Another: Wavelets and Pure Mathematics | 223 | |
| Wavelets and Vision: Another Perspective | 231 | |
| Which Wavelet? | 239 | |
| Different Transforms: A Summary | 249 | |
| Wavelets, Music, and Speech | 253 | |
| The Lifting Scheme | 257 | |
| Best Basis | 259 | |
| Appendices | 263 | |
| App. A | Mathematical Symbols | 265 |
| App. B | A Review of Some Elementary Trigonometry | 267 |
| App. C | Integrals | 271 |
| App. D | The Fourier Transform: The Different Conventions | 275 |
| App. E | The Sampling Theorem: A Proof | 277 |
| App. F | The Heisenberg Uncertainty Principle: A Proof | 281 |
| App. G | The Fourier Transform of a Periodic Function | 285 |
| App. H | An Example of an Orthonormal Basis and a Proof of Fourier's Result | 291 |
| Further Reading | 295 | |
| Wavelet Software and Electronic Resources | 299 | |
| References | 305 | |
| Index | 319 |
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
John Minatoya
reviewed The World According to Wavelets: The Story of a Mathematical Technique in the Making on October 29, 2020 The World According to Wavelets
This is a fantastic book for people that are looking for a wonderfully written book about wavelets. No way I would recommend this to someone that does not have a background in the field but if one does, this is a gem.
I wish there were more books like this; mathematics needs to be more accessible. And the question is, why isn't it??? This is a mathematically precise book, written by an English major. Why is there not more of this?
Congrats to the author and thank you for such a work. I wish you could do this for more advanced concepts.
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Add The World According to Wavelets: The Story of a Mathematical Technique in the Making, 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 discov, The World According to Wavelets: The Story of a Mathematical Technique in the Making to the inventory that you are selling on WonderClubX
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Add The World According to Wavelets: The Story of a Mathematical Technique in the Making, 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 discov, The World According to Wavelets: The Story of a Mathematical Technique in the Making to your collection on WonderClub |
