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From Pythagoras to Fourier and From Geometry to Nature
Table of Contents
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Editorial
Frontmatter
Pages i-vii
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Editorial
Preface
Pages ix-x
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Editorial
Table of Contents
Pages xi-xiii
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PART I
Book Chapter
Chapter 1. The Pythagorean Theorem and Its Extensions
Pages 3-8
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Book Chapter
Chapter 2. Recalling Sequences & Series
Pages 9-10
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Book Chapter
Chapter 3. Hilbert and Metric Spaces
Pages 11-13
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Book Chapter
Chapter 4. Fourier and the Trigonometric Series
Pages 15-20
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Book Chapter
Chapter 5. Applications
Pages 21-27
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Book Chapter
Chapter 6. Orthogonal Polynomials
Pages 29-38
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Book Chapter
Chapter 7. Grandi (Rhodonea) Curves
Pages 39-41
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Book Chapter
Chapter 8. Pseudo-Chebyshev Functions
Pages 43-49
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PART II
Book Chapter
Chapter 9. From Lamé Curves to Gielis Transformations
Pages 53-67
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Book Chapter
Chapter 10. Waves and More
Pages 69-77
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Book Chapter
Chapter 11. Stretchable Rulers and Integer Shapes
Pages 79-82
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PART III
Book Chapter
Chapter 12. Solution of Problems in Gielis Domains
Pages 85-97
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PART IV
Book Chapter
Chapter 13. From Universal Natural Shapes to Scientific Methodology
Pages 101-114
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Book Chapter
Chapter 14. Understanding Life
Pages 115-127
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Book Chapter
Chapter 15. Trigonometry on the Diamond
Pages 129-134
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Reference List
References
Pages 135-146
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