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Calculus: The Analysis of Functions Paperback – July 1, 1992


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Product Details

  • Paperback: 496 pages
  • Publisher: Wall & Emerson, Inc. (July 1, 1992)
  • Language: English
  • ISBN-10: 0921332378
  • ISBN-13: 978-0921332374
  • Product Dimensions: 1.2 x 7.5 x 9.5 inches
  • Shipping Weight: 1.7 pounds
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #3,681,070 in Books (See Top 100 in Books)

Editorial Reviews

Review

Peter Taylor ... has designed a calculus course that emphasizes the concepts of calculus far more than the symbolic manipulations.... Instructors who want to adopt an interactive teaching style will find this book with its marvelous collection of problems extremely helpful, and their students will learn to think more about the concepts of calculus. -- Andrew M. Gleason, Hollis Professor of Mathematics and Natural Philosophy, Harvard University

This book is the result of a rethink about the teaching of calculus to college and high school students, a fresh approach that focuses on the concepts and the problems. It is an interesting book and one that will be appreciated by teachers. The author, who is Professor of Mathematics and Biology at Queens University, is a senior figure in mathematics education in Canada. A new approach to calculus from such a source must obviously be of interest to teachers.

The approach is relaxed and leisurely, aimed at building up students' understanding of concepts before hitting them with techniques. Thus, the first chapter is devoted to a variety of pre-calculus problems in preparation for the more formal work which follows. Throughout the book there is a wealth of lovely examples.

This book is a statement about how calculus might better be taught and it contains any amount of good material. If ever you were seeking inspiration for an exciting lesson, this would be a good place to look. I also think it will be very valuable in teaching training. Its careful approach to concept building and to the process of doing mathematics will be particularly helpful to those who might otherwise unwittingly gloss over their future students' problems. -- Mathematics in Education and Industry

This book sets out an introductory course in the analysis of functions. On the whole, the course is intended to fit the first two semesters of college calculus. The approach differs from traditional calculus courses in perhaps three ways: It emphasizes applications to the physical and behavioral sciences, particularly the basic ideas of mathematical modeling. The author tried to choose examples that relate to the students' experience. It emphasizes qualitative analysis of functions, especially how to draw the right picture and use it to guide the analysis, or how to solve an optimization problem given only the function graph. It attempts to be a process-based curriculum; that is, the material and the problems are primarily chosen with any eye to engaging the student in the process of doing mathematics through such things as classroom activity, small group work, project work, problem solving, reading and writing. -- Fachinformationszentrum Karlsruhe --This text refers to the Hardcover edition.

About the Author

Peter D. Taylor is Professor of Mathematics and Biology at Queen's University in Canada. He earned his Ph.D. in mathematics at Harvard University in 1969. He research interests center around genetic models of animal behavior. He has been Governor for Canada of the Mathematical Association of America, and received the first Distinguished Teaching Award of the Mathematical Association of America, Seaway Section in 1992. --This text refers to the Hardcover edition.

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7 of 7 people found the following review helpful By Gordon Cooke on February 1, 2000
Format: Paperback
This is my favourite Calculus text. Although I only use it as a supplement to our regular text, I would love to teach my whole course the way Dr. Taylor describes.
Calculus: the Analysis of Functions begins with a graphical tour of the world. Rates of change are approached graphically through rich problems like "Lining up for a Squash court", "the Mile Record", "Optimal Cookie Size". These problems make the student communicate the meaning of a rate of change in various contexts.
Development of rates of change for different types of functions are generally done from a geometric or graphical point of view. Exponential and logarithmic functions are especially well done in my opinion. This is where I replace my traditional text with exercises drawn from Taylor's book.
Antidifferentiation includes a section on continuous probability, not usually found in an introductory text. But this isn't the usual fare.
Those who like a lot of manipulative practice evaluating left and right handed limits, continuity exercises and development from first principles will find this text lacking, but you must include it in your library and you must experience the pleasure of teaching "Taylor-like Calculus"
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By osama swidan on January 12, 2015
Format: Hardcover Verified Purchase
good book
low price
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0 of 2 people found the following review helpful By Ernesto colunga on August 8, 2014
Format: Paperback
The book is complete and in a good condition
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