Fundamentals of Mathematical Analysis by Paul J Sally
My rating: 4 of 5 stars
This undergraduate textbook builds on Sally's "Tools of the Trade: Introduction to Advanced Mathematics" (AMS) and requires a complete calculus background with linear algebra. Two detailed appendices covering nearly thirty pages are references for the prerequisite number theory and linear algebra. This is a dense work, light on illustrations and with little in the way of flavoring asides. Exercises are sprinkled throughout the chapters, rather than gathered at the end. No solutions are provided, which is fine for a work that is not intending to be a self-sufficient resource for independent readers. This also makes it an efficient reference or adjunct work to any assigned text. I would have been glad to have had it myself when I first encountered this material.
(See my full review at MAA Reviews)
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