Introduction to Calculus and Classical Analysis, Fourth Edition (2016)

  • Includes a self-contained treatment of the fundamental theorems of calculus in their full Lebesgue generality using the sunrise lemma. Click here to download the book.
  • "Chapter 5 is... an astonishing tour de force",
    Steven G. Krantz, The American Mathematical Monthly.
  • "For a treatment [of infinite products and the Bernoulli series] that is very close to Euler's and even more elementary..."
    V. S. Varadarajan, Bulletin of the American Mathematical Society.
  • "This is a very intriguing, decidedly unusual, and very satisfying treatment of calculus and introductory analysis. It's full of quirky little approaches to standard topics that make one wonder over and over again, 'Why is it never done like this?'"
    John Allen Paulos, author of Innumeracy and A Mathematician Reads the Newspaper.