Euclid. The Creation of Mathematics
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Euclid. The Creation of Mathematics

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Benno Artmann
648 g
241x161x20 mm
Even if the material covered by Euclid may be considered elementary for the most part, the way in which he presents essential features of mathematics in a much more general sense, has set the standards for more than 2000 years. He displays the axiomatic foundation of a mathematical theory and its conscious development towards the solution of a specific problem. We see how abstraction works and how it enforces the strictly deductive presentation of a theory. We learn what creative definitions are and how the conceptual grasp leads to the classification of the relevant objects.
This is a book for all lovers of mathematics with a solid background
in high school geometry, from teachers and students to university
professors. For each of Euclid's thirteen Books, the author has given
a general description of the contents and structure of the Book, plus
one or two sample proofs.
From the contents:- Notes to the reader
- General historical remarks
- The Origins of Mathematics 1: The Testimony of Eudemus
- Euclid: Book I
- Origin of Mathematics 2: Parallels and Axioms
- Origins of Ma- thematics 3: Pythagoras of Samos
- Euclid: Book ISBN
- Origin of Mathematics 4: Squaring the Circle
- Euclid: Book III
- Origin of Mathematics 5: Problems and Theories
- Euclid: Book IV
- Origin of Mathematics 6: The Birth of Rigor
- Origin of Mathematics 7: Polygons after Euclid
- Euclid: Book V
- Euclid: Book VI
- Origin of Mathematics 8: Be Wise, Generalize
- Euclid: Book VII
- Origin of Mathematics 9: Nicomachus and Diophantus
- Euclid: Book VIII
- Origins of Mathematics 10: Tools and Theorems
- Euclid: Book IX
- Origin of Mathematics 11: Math is Beautiful
- Euclid: Book X
- Origins of Mathematics 12: Incommensurability and Irrationality
- Euclid: Book XI
- Origins of Mathematics 13: The Role of Definitions
- Euclid: Book XII
- Origins of Mathematics 14: The Taming of the I nfinite
- Euclid: Book XIII
- Origin of Mathematics 15: Symmetry Through the Ages
- Origin of Mathematics 16: The Origin of the Elements
Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.

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