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Focusing Your Attention The purpose of this book is Cat least) twofold. First, we want to show you what mathematics is, what it is about, and how it is done-by those who do it successfull… Plus…
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ISBN: 9781461219323
In a relaxed, informal style, this book conveys the joy of mathematical discovery and insight, helping readers to see mathematics as an accessible world of thought.Explores spirals, fract… Plus…
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ISBN: 9781461219323
Focusing Your Attention The purpose of this book is Cat least) twofold. First, we want to show you what mathematics is, what it is about, and how it is done-by those who do it successfull… Plus…
ISBN: 9781461219323
Mathematical Reflections ab 58.99 € als pdf eBook: In a Room with Many Mirrors. Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Mathematical Reflections -… Plus…
ISBN: 9781461219323
In a relaxed, informal style, this book conveys the joy of mathematical discovery and insight, helping readers to see mathematics as an accessible world of thought.Explores spirals, fract… Plus…
ISBN: 9781461219323
*Mathematical Reflections* - In a Room with Many Mirrors / pdf eBook für 53.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks… Plus…
ISBN: 9781461219323
Mathematical Reflections - In a Room with Many Mirrors: ab 53.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Springer New York eBook als pdf, Springer New York
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Informations détaillées sur le livre - Mathematical Reflections
EAN (ISBN-13): 9781461219323
Date de parution: 2012
Editeur: Springer New York
Livre dans la base de données depuis 2017-06-15T07:04:10+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-02-14T10:42:05+01:00 (Paris)
ISBN/EAN: 9781461219323
ISBN - Autres types d'écriture:
978-1-4612-1932-3
Autres types d'écriture et termes associés:
Auteur du livre: hilton, holton
Titre du livre: reflections reflections, mathematical
Données de l'éditeur
Auteur: Peter Hilton; Derek Holton; Jean Pedersen
Titre: Undergraduate Texts in Mathematics; Mathematical Reflections - In a Room with Many Mirrors
Editeur: Springer; Springer US
352 Pages
Date de parution: 2012-12-06
New York; NY; US
Langue: Anglais
53,49 € (DE)
55,00 € (AT)
59,00 CHF (CH)
Available
XVI, 352 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Arithmetik, Algebra; Zahlentheorie; Verstehen; Algebra; Arithmetic; Finite; geometry; mathematics; theorem; B; Number Theory; Geometry; Mathematics; Mathematics and Statistics; Geometrie; Mathematik; BC
1 Going Down the Drain.- 1.1 Constructions.- 1.2 Cobwebs.- 1.3 Consolidation.- 1.4 Fibonacci Strikes.- 1.5 Dénouement.- 2 A Far Nicer Arithmetic.- 2.1 General Background: What You Already Know.- 2.2 Some Special Moduli: Getting Ready for the Fun.- 2.3 Arithmetic mod p: Some Beautiful Mathematics.- 2.4 Arithmetic mod Non-primes: The Same But Different.- 2.5 Primes, Codes, and Security.- 2.6 Casting Out 9’s and 11’s: Tricks of the Trade.- 3 Fibonacci and Lucas Numbers.- 3.1 A Number Trick.- 3.2 The Explanation Begins.- 3.3 Divisibility Properties.- 3.4 The Number Trick Finally Explained.- 3.5 More About Divisibility.- 3.6 A Little Geometry!.- 4 Paper-Folding and Number Theory.- 4.1 Introduction: What You Can Do With—and Without—Euclidean Tools.- 4.2 Going Beyond Euclid: Folding 2-Period Regular Polygons.- 4.3 Folding Numbers.- 4.4 Some Mathematical Tidbits.- 4.5 General Folding Procedures.- 4.6 The Quasi-Order Theorem.- 4.7 Appendix: A Little Solid Geometry.- 5 Quilts and Other Real-World Decorative Geometry.- 5.1 Quilts.- 5.2 Variations.- 5.3 Round and Round.- 5.4 Up the Wall.- 6 Pascal, Euler, Triangles, Windmills.- 6.1 Introduction: A Chance to Experiment.- 6.2 The Binomial Theorem.- 6.3 The Pascal Triangle and Windmill.- 6.4 The Pascal Flower and the Generalized Star of David.- 6.5 Eulerian Numbers and Weighted Sums.- 6.6 Even Deeper Mysteries.- 7 Hair and Beyond.- 7.1 A Problem with Pigeons, and Related Ideas.- 7.2 The Biggest Number.- 7.3 The Big Infinity.- 7.4 Other Sets of Cardinality ?0.- 7.5 Schröder and Bernstein.- 7.6 Cardinal Arithmetic.- 7.7 Even More Infinities?.- 8 An Introduction to the Mathematics of Fractal Geometry.- 8.1 Introduction to the Introduction: What’s Different About Our Approach.- 8.2 Intuitive Notion of Self-Similarity.- 8.3The lént Map and the Logistic Map.- 8.4 Some More Sophisticated Material.- An Introduction to the Mathematics of Fractal Geometry.- 8.1 Introduction to the Introduction: What’s Different About Our Approach.- 8.2 Intuitive Notion of Self-Similarity.- 8.3 The tent Map and and the Logistic Map.- 8.4 Some more Sophisticated Material.- 9 Some of Our Own Reflections.- 9.1 General Principles.- 9.2 Specific Principles.- 9.3 Appendix: Principles of Mathematical Pedagogy.Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material; The purpose of this book is to show what mathematics is about, how it is done, and what it is good for. The eight topics covered illustrate the unity of mathematical thought as well as the diversity of mathematical ideas; the relaxed and informal discussion makes it clear that mathematics can be exciting and engrossing. The book, which includes recent discoveries that lead to open questions, will give pleasure to anyone interested in the intellectually intriguing aspects of mathematics.
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