- Letters to a Young Mathematician
"Letters to a Young Mathematician" is a 2006 book by Ian Stewart, and is part of Basic Books'
Art of Mentoringseries. Stewart mentions in the preface that he considers this book an update to G.H. Hardy's A Mathematician's Apology.
The book is made up of letters to a fictional correspondent of Stewart's, an aspiring mathematician named Meg. The letters follow Meg from her school years up to her receiving
tenurefrom an American university.
Among the topics covered include:
* Chapter 1: The prevalence of mathematics in daily life.
* Chapter 2: How Stewart himself got into mathematics
* Chapter 3: The difference between school mathematics and university mathematics
* Chapter 4: The limitless boundaries of mathematics
* Chapter 5: Stewart's inspiration from animal gaits
* Chapter 6: The way mathematicians think
* Chapter 7: Problem solving methods
* Chapter 8: The Importance of Proofs
* Chapter 9: The role of computers in Mathematics
* Chapter 10: What is a proof?
* Chapter 11: Choosing a PhD subject
* Chapter 12: Computers in Aiding Mathematical Proofs
* Chapter 13: Impossible Problems
* Chapter 14: The career ladder for academics
* Chapter 15: The Line between pure and applied mathematics
* Chapter 16: Getting ideas in mathematics
* Chapter 17: Teaching mathematics
* Chapter 18: The Mathematical Community
* Chapter 19: Stewart's experiences as a lecturer
* Chapter 20: Collaboration
* Chapter 21: God as a mathematician
ISBN 0-465-08231-9 Original hardback from Basic Books
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