*Intermediate Physics for Medicine and Biology*, Russ Hobbie and I assume the reader knows calculus. Some readers, however, have weak or rusty math skills. Is there an easy way to learn what is needed?

Quick Calculus. |

*Quick Calculus*is a self-teaching guide written by Daniel Klepner and Norman Ramsey. Their preface states:

Before you plunge intoThe book covers nearly all the calculus needed inQuick Calculus, perhaps we ought to tell you what it is supposed to do.Quick Calculusshould teach you the elementary techniques of differential and integral calculus with a minimum of wasted effort on your part; it is designed for you to study by yourself. Since the best way for anyone to learn calculus is to work problems, we have included many problems in this book. You will always see the solution to your problem as soon as you have finished it, and what you do next will depend on your answer. A correct answer generally sends you to new material, while an incorrect answer sends you to further explanations and perhaps another problem.

*IPMB*.

**Chapter One**reviews functions and graphs, emphasizing trigonometry, exponentials, and logarithms.**Chapter Two**discusses differentiation—including the product rule and the chain rule—and maximum/minimum problems.**Chapter Three**analyzes integration, both definite and indefinite, and covers techniques such as change of variable, integration by parts, and multiple integrals.**Chapter Four**summarizes all the results in a few pages.

Math Books Useful for IPMB. |

*IPMB*that

*Quick Calculus*doesn’t teach is vector calculus; for that you should consult

*Div, Grad, Curl and All That*.

*Used Math*covers more ground than

*Quick Calculus*, but it’s a handbook rather than a self-teaching guide.

*Quick Calculus*has several virtues. It is clearly written, it emphasizes understanding math visually with lots of plots, and it focuses on utilitarian techniques without distracting rigor. If you want to understand math at a fundamental level, you should take a real calculus class. If you want to brush up on what's needed to get through

*IPMB*, use

*Quick Calculus*.

One disadvantage is that

*Quick Calculus*is old. The second edition—the most recent one I am aware of—was published in 1985. It might be difficult to purchase, although Amazon seems to have copies for sale. The authors make quaint comments about “readers who have an electronic calculator,” as opposed to slide rules I suppose. I also found several typos, which might frustrate readers using the book for self-study.

A sample from Quick Calculus. |

*IPMB*and rewritten it in the style of

*Quick Calculus*(see below). In my opinion, if all of

*Intermediate Physics for Medicine and Biology*were organized like this it would be tedious. What do you think?

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