THE HERITAGE OF THALES - livre d'occasion

EAN (ISBN-13): 9780387945446
ISBN (ISBN-10): 038794544X
Version reliée
Date de parution: 2007
Editeur: Springer-Verlag New York Inc.
346 Pages
Poids: 0,684 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-06-06T16:49:50+02:00 (Zurich)
Page de détail modifiée en dernier sur 2023-10-09T19:46:06+02:00 (Zurich)
ISBN/EAN: 9780387945446

ISBN - Autres types d'écriture:
0-387-94544-X, 978-0-387-94544-6
Autres types d'écriture et termes associés:
Auteur du livre: thales, anglin, lamb, joachim lambek
Titre du livre: heritage thales, thale, undergraduate

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Données de l'éditeur

Auteur: W.S. Anglin; J. Lambek
Titre: Readings in Mathematics; Undergraduate Texts in Mathematics; The Heritage of Thales
Editeur: Springer; Springer US
331 Pages
Date de parution: 1995-08-22
New York; NY; US
Langue: Anglais
85,59 € (DE)
87,99 € (AT)
94,50 CHF (CH)
Available
X, 331 p.

BB; Hardcover, Softcover / Naturwissenschaften allgemein; Geschichte der Naturwissenschaften; Verstehen; History of Mathematics; Renaissance; education; mathematics; philosophy of mathematics; physics; proposition; History of Science; History of Mathematical Sciences; Mathematics; Mathematics Education; Geschichte der Mathematik; Mathematik; Fachspezifischer Unterricht; BC

0 Introduction.- 0 Introduction.- I: History and Philosophy of Mathematics.- 1 Egyptian Mathematics.- 2 Scales of Notation.- 3 Prime Numbers.- 4 Sumerian-Babylonian Mathematics.- 5 More about Mesopotamian Mathematics.- 6 The Dawn of Greek Mathematics.- 7 Pythagoras and His School.- 8 Perfect Numbers.- 9 Regular Polyhedra.- 10 The Crisis of Incommensurables.- 11 From Heraclitus to Democritus.- 12 Mathematics in Athens.- 13 Plato and Aristotle on Mathematics.- 14 Constructions with Ruler and Compass.- 15 The Impossibility of Solving the Classical Problems.- 16 Euclid.- 17 Non-Euclidean Geometry and Hilbert’s Axioms.- 18 Alexandria from 300 BC to 200 BC.- 19 Archimedes.- 20 Alexandria from 200 BC to 500 AD.- 21 Mathematics in China and India.- 22 Mathematics in Islamic Countries.- 23 New Beginnings in Europe.- 24 Mathematics in the Renaissance.- 25 The Cubic and Quartic Equations.- 26 Renaissance Mathematics Continued.- 27 The Seventeenth Century in France.- 28 The Seventeenth Century Continued.- 29 Leibniz.- 30 The Eighteenth Century.- 31 The Law of Quadratic Reciprocity.- II: Foundations of Mathematics.- 1 The Number System.- 2 Natural Numbers (Peano’s Approach).- 3 The Integers.- 4 The Rationals.- 5 The Real Numbers.- 6 Complex Numbers.- 7 The Fundamental Theorem of Algebra.- 8 Quaternions.- 9 Quaternions Applied to Number Theory.- 10 Quaternions Applied to Physics.- 11 Quaternions in Quantum Mechanics.- 12 Cardinal Numbers.- 13 Cardinal Arithmetic.- 14 Continued Fractions.- 15 The Fundamental Theorem of Arithmetic.- 16 Linear Diophantine Equations.- 17 Quadratic Surds.- 18 Pythagorean Triangles and Fermat’s Last Theorem.- 19 What Is a Calculation?.- 20 Recursive and Recursively Enumerable Sets.- 21 Hilbert’s Tenth Problem.- 22 Lambda Calculus.- 23 Logic fromAristotle to Russell.- 24 Intuitionistic Propositional Calculus.- 25 How to Interpret Intuitionistic Logic.- 26 Intuitionistic Predicate Calculus.- 27 Intuitionistic Type Theory.- 28 Gödel’s Theorems.- 29 Proof of Gödel’s Incompleteness Theorem.- 30 More about Gödel’s Theorems.- 31 Concrete Categories.- 32 Graphs and Categories.- 33 Functors.- 34 Natural Transformations.- 35 A Natural Transformation between Vector Spaces.- References.