Machine derived contents note: 1. Points of view -- 2. Mathematical truth -- 3. Breaking bounds -- 4. 'The same, yet not the same' -- 5. The art of abstraction -- 6. Oaks from acorns -- 7. Pictorial thinking -- 8. Landmarks old and new -- 9. Groups -- 10. A metrical universe -- 11. The queen of mathematics -- 12. Abstraction and prediction -- 13. From cyzius to neptune -- 14. Two kinds of picture -- 15. The chief instrument of applied mathematics -- 16. Further calculuses -- 17. Waves and vibrations -- 18. Choice and chance -- 19. 'Storming the heavens' -- 20. Bedrock.
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