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Title: Basic Calculus: From Archimedes to Newton to its Role in Science by Alexander J. Hahn, Alex J. Hahn ISBN: 0-387-94606-3 Publisher: Springer Verlag Pub. Date: July, 1998 Format: Hardcover Volumes: 1 List Price(USD): $69.95

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Average Customer Rating: 4.25 (12 reviews)

Rating: 5
Summary: The essence of the matter¿
Comment: If you are deeply curious about the amazing ability of mathematics to define, describe and predict the physical world and its behavior (incl. the solar system) you will be thrilled with this book. It concentrates on the essence of the matter, basic calculus, and includes real-world applications set within the context of some of history's most important scientific questions.

The author clearly demonstrates that he not only possesses a great curiosity, fluency, and appreciation for the subject but also thrives on imparting these things to others. He has provided a great deal of supplementary information on his web site including a detailed description of the contents, scope and focus of the book.

The Solution Manuals ARE available from the author simply by e-mailing him at: [email protected]

Most calculus books make some compromise in presenting the material. In the case of a thoroughly rigorous text, that compromise most often means sacrificing historical context, intuitive understanding, and real-world application (even though the book may be "exercise-rich" with contrived examples). Basic Calculus successfully navigates a difficult (and different) course, focusing on these commonly sacrificed areas and effectively presenting the pearls of calculus knowledge without delving too deeply into eye-glazing minutiae. In lucid and interesting style, it accomplishes exactly what it sets out to do - it imparts the essence of the matter, in context.

Rating: 5
Summary: A Website for Hahn's Basic Calculus
Comment: Basic Calculus: From Archimedes to Newton to Its Role in Science
is a beautifully done text. It is very clearly written and
logically organized, tracing the development of calculus with
many interesting examples from the physical world and man's
quest to understand the physical world. The text is concise
and so readily understood as to be elegant. Finally, all of the
solutions to the exercises are given at Professor Hahn's internet
site. Its address is www.nd.edu/~hahn/ One way to remember the
website is that the letters "nd" are for Notre Dame, where Dr. Hahn teaches.

Rating: 5
Summary: A Wonderful Introduction to Calculus
Comment: What this book is not is a traditional calculus text. It covers a lot of traditional topics, but not in a familiar way. It is not terribly rigorous, nor does it need to be. It is designed to fill the first two semesters of calculus. There are a LOT of books that do this in the traditional way, that is they scare the life out of the student :-). It is my belief that this book will take a lot of the mystery out of calculus, since it develops the subject in the context of applications. I also think that most students will find the approach engaging. There are plenty of practice problems at the ends of the chapters, and some are quite challenging.

The focus of this book is not to present calculus as a theory, a thing which most students are simply not prepared for at this level. Rather it is to present calculus as the pragmatic development of methods to solve certain classes of problems. In this regard it does a fantastic job. Along the way the students's algebraic, geometric, and trigonometric skills are all tested and firmed up.

The notion of the limit, such a mystery to most freshmen (and, truth-be-told, to many upper-level undergrads) is given a strong intuitive thrust right from the beginning.

If you want more problems, get the Schaum's outline book and read them side-by-side.

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