Imagining numbers : particularly the square root of minus fifteen

By:

Mazur, Barry

Material type: Text

9780141008875

Subject(s):

DDC classification:

510.1 MAZ-I

Contents:

PART I Chapter 1.The imagination and roots. Chapter 2. Square roots and the imagination Chapter 3. Looking at numbers Chapter 4. Permission and laws Chapter 5. Economy of expression Chapter 6. Justifying laws

PART II Chapter 7. Bombelli's puzzle Chapter 8. Stretching the image Chapter 9. Putting geometry into numbers Chapter 10. Seeing the geometry in the numbers

PART III Chapter 11. The literature of discovery of geometry in numbers Chapter 12. Understanding algebra via geometry

Summary: Mazur considers the range of our imaginative experiences, especially in relation to mathematics. When we imagine a number, in particular an impossible number such as the square root of a negative quantity, what imaginative object might this bring to mind?

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Holdings
Item type	Current library	Collection	Call number	Status	Notes	Date due	Barcode	Item holds
Books	IIITD General Stacks	Mathematics	510.1 MAZ-I (Browse shelf(Opens below))	Available	Gifted by Samaresh chatterjee		G02695

Total holds: 0

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Previous	510.1 HOF-G Godel, escher, bach : an eternal golden braid	510.1 LIN-P Philosophy of mathematics	510.1 MAZ-E Enlightening symbols :	510.1 MAZ-I Imagining numbers : particularly the square root of minus fifteen	510.1 ORD-9 99 variations on a proof	510.1 RUS-I Introduction to mathematical philosophy	510.1 SU-M Mathematics for human flourishing	Next

Includes bibliographical references and index.

PART I
Chapter 1.The imagination and roots.
Chapter 2. Square roots and the imagination
Chapter 3. Looking at numbers
Chapter 4. Permission and laws
Chapter 5. Economy of expression
Chapter 6. Justifying laws

PART II
Chapter 7. Bombelli's puzzle
Chapter 8. Stretching the image
Chapter 9. Putting geometry into numbers
Chapter 10. Seeing the geometry in the numbers

PART III
Chapter 11. The literature of discovery of geometry in numbers
Chapter 12. Understanding algebra via geometry

Mazur considers the range of our imaginative experiences, especially in relation to mathematics. When we imagine a number, in particular an impossible number such as the square root of a negative quantity, what imaginative object might this bring to mind?

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