The Story of Proof : Logic and the History of Mathematics /

How the concept of proof has enabled the creation of mathematical knowledgeThe Story of Proof investigates the evolution of the concept of proof-one of the most significant and defining features of mathematical thought-through critical episodes in its history. From the Pythagorean theorem to modern...

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Hlavní autor: Stillwell, John (Autor)
Médium: E-kniha
Jazyk:angličtina
Vydáno: Princeton, NJ : Princeton University Press, [2022]
Témata:
Proof theory > History.
MATHEMATICS / History & Philosophy.
teória dôkazov
matematika
ISBN:9780691234373
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Obsah:
  • Frontmatter
  • Contents
  • Preface
  • CHAPTER 1 Before Euclid
  • CHAPTER 2 Euclid
  • CHAPTER 3 After Euclid
  • CHAPTER 4 Algebra
  • CHAPTER 5 Algebraic Geometry
  • CHAPTER 6 Calculus
  • CHAPTER 7 Number Theory
  • CHAPTER 8 The Fundamental Theorem of Algebra
  • CHAPTER 9 Non-Euclidean Geometry
  • CHAPTER 10 Topology
  • CHAPTER 11 Arithmetization
  • CHAPTER 12 Set Theory
  • CHAPTER 13 Axioms for Numbers, Geometry, and Sets
  • CHAPTER 14 The Axiom of Choice
  • CHAPTER 15 Logic and Computation
  • CHAPTER 16 Incompleteness
  • Bibliography
  • Index

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