A. Gardiner, Mathematics

Understanding Infinity

The Mathematics of Infinite Processes

• Broschiertes Buch

Produktbeschreibung

Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions. 1982 edition.

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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 318
• Erscheinungstermin: 22. Dezember 2010
• Englisch
• Abmessung: 235mm x 158mm x 17mm
• Gewicht: 408g
• ISBN-13: 9780486425382
• ISBN-10: 048642538X
• Artikelnr.: 22043433

Inhaltsangabe

PART I FROM CALCULUS TO ANALYSIS CHAPTER I.1 What's Wrong with the
Calculus? CHAPTER I.2 Growth and Change in Mathematics PART II NUMBER
CHAPTER II.1 Mathematics: Rational or Irrational? CHAPTER II.2 Constructive
and Non-constructive Methods in Mathematics "CHAPTER II.3 Common Measures,
Highest Common Factors and the Game of Euclid" CHAPTER II.4 Sides and
Diagonals of Regular Polygons CHAPTER II.5 Numbers and Arithmetic?A Quick
Review CHAPTER II.6 Infinite Decimals (Part 1) CHAPTER II.7 Infinite
Decimals (Part 2) CHAPTER II.8 Recurring Nines CHAPTER II.9 Fractions and
Recurring Decimals CHAPTER II.10 The Fundamental Property of Real Numbers
CHAPTER II.11 The Arithmetic of Infinite Decimals CHAPTER II.12 Reflections
on Recurring Themes CHAPTER II.13 Continued Fractions PART III GEOMETRY
CHAPTER III.1 Numbers and Geometry CHAPTER III.2 The Role of Geometrical
Intuition CHAPTER III.3 Comparing Areas CHAPTER III.4 Comparing Volumes
CHAPTER III.5 Curves and Surfaces PART IV FUNCTIONS CHAPTER IV.1 What Is a
Number? CHAPTER IV.2 What Is a Function? CHAPTER IV.3 What Is an
Exponential Function? Index Errata