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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Since its publication in 1908, this textbook has become a classic work for successive generations of student mathematicians to refer to for the fundamental ideas of differential and integral calculus, the properties of infinite series, as well as other topics involving the notion of limit.

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