G.H. Hardy's text is a good single volume refresher course for work
in analysis and more advanced algebra, including number theory. Not
quite as modern as Birkhoff and MacLane's text, or Manes' work,
this volume forms the underpinnings of both works. If you have a
good understanding of the preliminary work required in algebra and
geometry, Hardy can be read directly and with pleasure. If you have
a desire to understand the basis of what is presented in most
first-year calculus texts, then Hardy's text is for you.
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