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Excursions in Calculus: An Interplay of the Continuous and the Discrete
The purpose of this book is to explore the rich and elegant interplay that exists between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus. The book is addressed primarily to well-trained calculus students and those who teach them, but it can also serve as a supplement in a traditional calculus course for anyone who wants to see more. The problems, taken for the most part from probability, analysis, and number theory, are an integral part of the text. There are over 400 problems presented in this book.
Book Details
- Publisher: Mathematical Association of America (MAA)
- Publish Date: Sep 5th, 1996
- Pages: 429
- Language: English
- Edition: undefined - undefined
- Dimensions: 0.00in - 0.00in - 0.00in - 0.00lb
- EAN: 9780883853177
- Categories: • Calculus• Probability & Statistics - General• Mathematical Analysis
Praise for this book
'If I were stranded on a desert island with my junior and senior math majors and could give them only one book to read, this is the one I would choose. In fact, this year we will be doing precisely that (requiring the book, that is) for all of our junior math majors.' SIAM-DM Newsletter