Free PDF Technical Calculus with Analytic Geometry (Dover Books on Mathematics), by Judith L. Gersting
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Technical Calculus with Analytic Geometry (Dover Books on Mathematics), by Judith L. Gersting
Free PDF Technical Calculus with Analytic Geometry (Dover Books on Mathematics), by Judith L. Gersting
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This well-thought-out text, filled with many special features, is designed for a two-semester course in calculus for technology students with a background in college algebra and trigonometry. The author has taken special care to make the book appealing to students by providing motivating examples, facilitating an intuitive understanding of the underlying concepts involved, and by providing much opportunity to gain proficiency in techniques and skills.
Initial chapters cover functions and graphs, straight lines and conic sections, new coordinate systems, the derivative, using the derivative, integration and using the integral. The last four chapters focus on derivatives of transcendental functions, patterns for integrations, series expansion of functions, and differential equations.
Throughout, the writing style is clear, readable and informal. Examples are abundant and have complete worked solutions. Practice problems appear in the body of the text in each section; these are relatively easy and are intended to be worked by the student as soon as they are encountered. Each new type of example in the text is followed by a practice problem that allows the student to gain immediate reinforcement in applying the problem-solving technique illustrated by the example. Answers to all practice problems are given at the back of the book, many with worked-out solutions.
Other learning aids include the division of complex problem-solving processes into a series of step-by-step tasks, numerous exercises at the end of each section and a Status Check at the end of each chapter that helps students review what they have learned. Additional review exercises and a glossary, with definitions and page references, round out the book.
- Sales Rank: #107049 in Books
- Published on: 2010-10-18
- Released on: 2010-09-20
- Original language: English
- Number of items: 1
- Dimensions: 9.24" h x 1.17" w x 6.56" l, 1.10 pounds
- Binding: Paperback
- 528 pages
About the Author
Gersting received her Ph.D. from Arizona State University. She is a professor of computer science at the University of Hawaii at Hilo.
Most helpful customer reviews
27 of 28 people found the following review helpful.
one of the best calculus books ever
By A. Cody Young
A wonderful book for anyone who wants to learn geometry, trigonometry, calculus, and beginning differential equations on their own or to go back and fill in holes.
This book leaves you wishing you had seen it earlier in life. I found myself smacking my forehead at how simply and powerfully it implants information into the readers mind. So clearly written and fun to read that since the early 1990s when it came out I have gone through many copies by giving it away to students and friends who wanted to learn or become better at calculus and mathematics in their spare time (and with little time to spare). I got online to buy another copy and was surprised it had not yet been reviewed!
Every chapter starts with a succinct lesson and then jumps into many worked examples that build upon each other until the reader is dizzyingly skilled. Little cartoon owls give special insight and mnemonic phrases in key places. Each chapter ends with exercises and solutions to odd numbered problems.
This book is ideal for people who have even moderate skill at Algebra I/II. College level physicists, engineers, and other applied scientists will really enjoy this book.
17 of 18 people found the following review helpful.
Excellent, Friendly Text
By Dennis L. Hughes
I agree with the previous reviewer that it is surpising that no one else has reviewed this book. It's terrific.
I had two semesters of calculus about 15 years ago. I did very well, but I wanted to brush up. This book has been ideal. It covers the basics of analytic geometry, differential and integral calculus, and ends with a chapter on differential equations.
I believe it would also be ideal for someone trying to teach himself. It is very friendly, and there are _lots_ of problems: examples, practice problems, and exercises. Answers are given to all practice problems and odd-numbered exercises.
I sort of doubt I'm getting the depth or breadth of my two college semesters, but I think this is a solid and user-friendly place to start.
12 of 12 people found the following review helpful.
Finest Explaination of Calculus and Analytic Geometry!
By Avid Reader
I agree with the other reviews about this book. I've been out of school for many years yet I used this book to prepare for the math content found on the engineer-in-training exam and I passed. I wish when I took calculus the first time in school that the teacher used this book. Gersting not only explains the subject matter well but also provides clear examples. Add to this it is excellent as a self-study book. I recommend it for anyone wanting to review the subject and also as a reference for those struggling in a traditional calculus classes.
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