Book Review:
Book Description
This text book aims to provide both insight into the essential problems of Calculus (and the related field of mathematical analysis) and a rigorous proof of all of the standard material in a Calculus class. However, we will not put rigor in the way of leisure or explanation. Thus, while we will prove everything, we will not always do so in the most sophisticated or efficient manner.
One of the special features of this text is to include discussion of the historical controversies and socalled paradoxes which made Calculus such an exciting and hardwon mathematical field.
This text will attempt to introduce the student to all of the varied roles which Calculus plays in science and academia. Calculus is an applied subject which forms the basis of elementary calculations in physics, biology, psychology, statistics, engineering, etc. Calculus is the first math class that most people have taken where they have to learn concepts that are not immediate generalizations of arithmetic or geometric intuition. Finally, and related to both of the above, Calculus is the first math class that many people take where statements are given that are not exercises in proof, like in geometry, but still need to be proven.
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