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The Heritage of Thales
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Introduction
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Chapter 2
Egyptian Mathematics
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Chapter 3
Scales of Notation
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Chapter 4
Prime Numbers
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Chapter 5
Sumerian-Babylonian Mathematics
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Chapter 6
More about Mesopotamian Mathematics
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Chapter 7
The Dawn of Greek Mathematics
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Chapter 8
Pythagoras and His School
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Chapter 9
Perfect Numbers
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Chapter 10
Regular Polyhedra
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Chapter 11
The Crisis of Incommensurables
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Chapter 12
From Heraclitus to Democritus
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Chapter 13
Mathematics in Athens
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Chapter 14
Plato and Aristotle on Mathematics
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Chapter 15
Constructions with Ruler and Compass
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Chapter 16
The Impossibility of Solving the Classical Problems
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Chapter 17
Euclid
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Chapter 18
Non-Euclidean Geometry and Hilbert’s Axioms
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Chapter 19
Alexandria from 300 BC to 200 BC
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Chapter 20
Archimedes
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Chapter 21
Alexandria from 200 BC to 500 AD
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Chapter 22
Mathematics in China and India
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Chapter 23
Mathematics in Islamic Countries
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Chapter 24
New Beginnings in Europe
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Chapter 25
Mathematics in the Renaissance
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Chapter 26
The Cubic and Quartic Equations
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Chapter 27
Renaissance Mathematics Continued
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Chapter 28
The Seventeenth Century in France
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Chapter 29
The Seventeenth Century Continued
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Chapter 30
Leibniz
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Chapter 31
The Eighteenth Century
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Chapter 32
The Law of Quadratic Reciprocity
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Chapter 33
The Number System
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Chapter 34
Natural Numbers (Peano’s Approach)
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Chapter 35
The Integers
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Chapter 36
The Rationals
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Chapter 37
The Real Numbers
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Chapter 38
Complex Numbers
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Chapter 39
The Fundamental Theorem of Algebra
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Chapter 40
Quaternions
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Chapter 41
Quaternions Applied to Number Theory
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Chapter 42
Quaternions Applied to Physics
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Chapter 43
Quaternions in Quantum Mechanics
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Chapter 44
Cardinal Numbers
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Chapter 45
Cardinal Arithmetic
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Chapter 46
Continued Fractions
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Chapter 47
The Fundamental Theorem of Arithmetic
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Chapter 48
Linear Diophantine Equations
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Chapter 49
Quadratic Surds
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Chapter 50
Pythagorean Triangles and Fermat’s Last Theorem
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Chapter 51
What Is a Calculation?
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Chapter 52
Recursive and Recursively Enumerable Sets
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Chapter 53
Hilbert’s Tenth Problem
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Chapter 54
Lambda Calculus
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Chapter 55
Logic from Aristotle to Russell
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Chapter 56
Intuitionistic Propositional Calculus
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Chapter 57
How to Interpret Intuitionistic Logic
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Chapter 58
Intuitionistic Predicate Calculus
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Chapter 59
Intuitionistic Type Theory
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Chapter 60
Gödel’s Theorems
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Chapter 61
Proof of Gödel’s Incompleteness Theorem
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Chapter 62
More about Gödel’s Theorems
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Chapter 63
Concrete Categories
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Chapter 64
Graphs and Categories
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Chapter 65
Functors
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Chapter 66
Natural Transformations
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Chapter 67
A Natural Transformation between Vector Spaces
Overall attention for this book and its chapters
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Mentioned by
news
1
news outlet
twitter
5
X users
syllabi
2
institutions with syllabi
wikipedia
2
Wikipedia pages
googleplus
1
Google+ user
Citations
dimensions_citation
30
Dimensions
Readers on
mendeley
8
Mendeley
Book overview
1. Introduction
2. Egyptian Mathematics
3. Scales of Notation
4. Prime Numbers
5. Sumerian-Babylonian Mathematics
6. More about Mesopotamian Mathematics
7. The Dawn of Greek Mathematics
8. Pythagoras and His School
9. Perfect Numbers
10. Regular Polyhedra
11. The Crisis of Incommensurables
12. From Heraclitus to Democritus
13. Mathematics in Athens
14. Plato and Aristotle on Mathematics
15. Constructions with Ruler and Compass
16. The Impossibility of Solving the Classical Problems
17. Euclid
18. Non-Euclidean Geometry and Hilbert’s Axioms
19. Alexandria from 300 BC to 200 BC
20. Archimedes
21. Alexandria from 200 BC to 500 AD
22. Mathematics in China and India
23. Mathematics in Islamic Countries
24. New Beginnings in Europe
25. Mathematics in the Renaissance
26. The Cubic and Quartic Equations
27. Renaissance Mathematics Continued
28. The Seventeenth Century in France
29. The Seventeenth Century Continued
30. Leibniz
31. The Eighteenth Century
32. The Law of Quadratic Reciprocity
33. The Number System
34. Natural Numbers (Peano’s Approach)
35. The Integers
36. The Rationals
37. The Real Numbers
38. Complex Numbers
39. The Fundamental Theorem of Algebra
40. Quaternions
41. Quaternions Applied to Number Theory
42. Quaternions Applied to Physics
43. Quaternions in Quantum Mechanics
44. Cardinal Numbers
45. Cardinal Arithmetic
46. Continued Fractions
47. The Fundamental Theorem of Arithmetic
48. Linear Diophantine Equations
49. Quadratic Surds
50. Pythagorean Triangles and Fermat’s Last Theorem
51. What Is a Calculation?
52. Recursive and Recursively Enumerable Sets
53. Hilbert’s Tenth Problem
54. Lambda Calculus
55. Logic from Aristotle to Russell
56. Intuitionistic Propositional Calculus
57. How to Interpret Intuitionistic Logic
58. Intuitionistic Predicate Calculus
59. Intuitionistic Type Theory
60. Gödel’s Theorems
61. Proof of Gödel’s Incompleteness Theorem
62. More about Gödel’s Theorems
63. Concrete Categories
64. Graphs and Categories
65. Functors
66. Natural Transformations
67. A Natural Transformation between Vector Spaces
Summary
News
X
Syllabi
Wikipedia
Google+
Dimensions citations
This data is correct as of December 2015 - for more up to date information, please visit
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So far, Altmetric has seen this research output assigned in
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Institution
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Course subject areas covered
Trent University
2
Unknown
Massey University
1
Library and Information Science