Calculus and Its Applications, 10th Edition [Hardcover]

Larry J. Goldstein (Author), David I. Schneider (Author), David C. Lay (Author)

Book Description

ISBN-10: 0130466107 | ISBN-13: 978-0130466105 | Publication Date: March 26, 2003 | Edition: 10

For Applied Calculus courses. These extremely readable, highly regarded, and widely adopted texts present innovative ways for applying calculus to real-world situations in the business, economics, life science, and social science disciplines. The texts' straightforward, engaging approach fosters the growth of both the student's mathematical maturity and his/her appreciation for the usefulness of mathematics. The authors' tried and true formula-pairing substantial amounts of graphical analysis and informal geometric proofs with an abundance of hands-on exercises-has proven to be tremendously successful with both students and instructors.

Editorial Reviews

From the Publisher

Widely adopted and highly acclaimed, these texts present calculus in an intuitive way through the use of calculus in contemporary, real-life applications in the biological, social, and management sciences. They begin the calculus as soon as possible -- relying heavily on graphical analysis and informal geometric proofs throughout. They also pay close attention to students' real and potential problems in learning calculus. Nearly one-quarter of each text is devoted to exercises -- equivalent to a built-in workbook -- giving students plenty of opportunity for hands-on practice. --This text refers to an alternate Hardcover edition.

From the Inside Flap

Preface

We have been very pleased with the enthusiastic response to the first eight editions of Calculus and Its Applications by teachers and students alike. The present work incorporates many of the suggestions they have put forward.

Although there are many changes, we have preserved the approach and the flavor. Our goals remain the same: to begin the calculus as soon as possible; to present calculus in an intuitive yet intellectually satisfying way; and to illustrate the many applications of calculus to the biological, social, and management sciences.

The distinctive order of topics has proven over the years to be successful—easier for students to learn, and more interesting because students see significant applications early. For instance, the derivative is explained geometrically before the analytic material on limits is presented. This' approach gives the students an understanding of the derivative at least as strong as that obtained from the traditional approach. To reach the applications in Chapter 2 quickly, we present only the differentiation rules and the curve sketching needed for those applications. Advanced topics come later when they are needed. Other aspects of this student-oriented approach follow below. Applications

We provide realistic applications that illustrate the uses of calculus in other disciplines. See the Index of Applications on the inside cover. Wherever possible, we have attempted to use applications to motivate the mathematics. Examples

The text includes many more worked examples than is customary. Furthermore, we have included computational details to enhance readability by students whose basic skills are weak. Exercises

The exercises comprise about one-quarter of the text—the most important part of the text in our opinion. The exercises at the ends of the sections are usually arranged in the order in which the text proceeds, so that the homework assignments may easily be made after only part of a section is discussed. Interesting applications and more challenging problems tend to be located near the ends of the exercise sets. Supplementary exercises at the end of each chapter expand the other exercise sets and include problems that require skills from earlier chapters. Practice Problems

The practice problems have proven to be a popular and useful feature. Practice Problems are carefully selected questions located at the end of each section, just before the exercise set. Complete solutions are given following the exercise set. The practice problems often focus on points that are potentially confusing or are likely to be overlooked. We recommend that the reader seriously attempt the practice problems and study their solutions before moving on to the exercises. In effect, the practice problems constitute a built-in workbook. Minimal Prerequisites

In Chapter 0, we review those concepts that the reader needs to study calculus. Some important topics, such as the laws of exponents, are reviewed again when they are used in a later chapter. Section 0.6 prepares students for applied problems that appear throughout the text. A reader familiar with the content of Chapter 0 should begin with Chapter 1 and use Chapter 0 as a reference, whenever needed. New in this Edition

Among the many changes in this edition, the following are the most significant:

Delta Notation We introduce delta notation in Chapter 0 and use it in our discussion of the derivative. As in previous editions, we have tried to minimize the use of complicated notation, preferring instead verbal descriptions. However, in the case of the delta notation, we feel that the clarity achieved is worth the extra notation.

Derivative as a Rate of Change We preview the derivative as a rate of change at the beginning of Chapter 1, anticipating the more detailed discussion in Section 1.8. Since students have difficulty interpreting the derivative as a rate of change, we felt it prudent to allow them to practice repeatedly with the concept.

Analysis of Data We added a broad theme that might best be described as "calculus for functions defined by data." Throughout the book, we include discussions about real-life applications whose underlying functions are defined by tables of data.

More on Regression (optional) We added the optional Section 7.6 on multiple and nonlinear regression analysis. The goal in this section is to provide a taste of what a business student will encounter in a course in regression analysis. Our emphasis is on using technology, especially spreadsheets, to do the computations for various flavors of regression (multiple-linear, quadratic, exponential, etc.).

Additional Technology (optional) The new technology appendix to Chapter 0 includes the graphing calculator material previously found within the chapter, a discussion of calculus and spreadsheets, and a new exercise set testing student technology skills.

Real-Life Data We have collected spreadsheets containing real-life statistical data and made them available to students and faculty on the Web site prenhall/goldstein.

Projects Each chapter now includes a project, designed to provide more open-ended problem solving, critical thinking, verbal expression, and integration of mathematical techniques, both manual and technological.

Other Changes We made improvements throughout the text based on suggestions from students, teachers, reviewers, and editors. Our thanks to all who assisted us with their valuable suggestions.

This edition contains more material than can be covered in most two-semester courses. Optional sections are starred in the table of contents. In addition, the level of theoretical material may be adjusted to the needs of the students. For instance, only the first two pages of Section 1.4 are required in order to introduce the limit notation.

A Study Guide for students containing detailed explanations and solutions for every sixth exercise is available. The Study Guide also includes helpful hints and strategies for studying that will help students improve their performance in the course. In addition, the Study Guide contains a copy of Visual Calculus, the popular, easy-to-use software for IBM compatible computers. Visual Calculus contains over 20 routines that provide additional insights into the topics discussed in the text. Also, instructors find the software valuable for constructing graphs for exams.

An Instructor's Solutions Manual contains worked solutions to every exercise.

TestGen EQ provides nearly 1000 suggested test questions, keyed to chapter and section. TestGen EQ is a text-specific testing program networkable for administering tests and capturing grades online. Edit and add your own questions, or use the new "Function Plotter" to create a nearly unlimited number of tests and drill worksheets.

Designed to complement and expand upon the text, the text Web site offers a variety of interactive teaching and learning tools. Since many of the text projects use real-life data, we made the data easier to use by making it available in Excel spreadsheets on the Web site. The Web site also includes links to related Web sites, quizzes, Syllabus Builder, and more. For more information, visit prenhall/goldstein or contact your local Prentice Hall representative. --This text refers to an alternate Hardcover edition.

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Product Details

• Hardcover: 736 pages
• Publisher: Prentice Hall; 10 edition (March 26, 2003)
• Language: English
• ISBN-10: 0130466107
• ISBN-13: 978-0130466105
• Product Dimensions: 10.3 x 8.2 x 1.3 inches
• Shipping Weight: 3.2 pounds
• Average Customer Review: 2.8 out of 5 stars  See all reviews (8 customer reviews)
• Amazon Best Sellers Rank: #1,194,663 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

7 of 8 people found the following review helpful:

2.0 out of 5 stars Whats the difference between the 8th and 7th eds?, November 23, 1999

By A Customer

This review is from: Calculus and Its Applications (Hardcover)

The book itself is OK at best. The author makes use of OK examples but has some very good questions. Too bad its hard to solve the more advanced questions he asks from the examples given.

In compairing the 7th and 8th editions there is almost NO difference between the two. I think I ran accross under 10( at most) total changes, and they were VERY minor. Why print another edition? More money to charge university students is probably why.

Oh, and I did very well in the 2 semesters...so Im not just bitching either!

3 of 3 people found the following review helpful:

4.0 out of 5 stars Best for basics, July 18, 2005

By 

Optimist (NJ, USA) - See all my reviews

Amazon Verified Purchase

This review is from: Calculus and Its Applications (9th Edition) (Hardcover)

This is an excellent place to start - if you just started calculus, or need a thorough back-to-basics guide.

Concepts are explained patiently and excellently unlike many others that cover the same basic concepts but rush through the 'why's and simply throw formulae at you. On the other hand, the book is kind of verbose and a slow starter. It may not be right if you are looking for a quick tour of the basics. But if you are willing to invest a little more time, it's well worth it. For me, the practical illustrations alongside each concept, were a big incentive and don't make you feel like you are just plowing through a math textbook.

4 of 5 people found the following review helpful:

4.0 out of 5 stars Good Text for Basic Calculus Concepts, December 14, 2003

By 

Matthew Bratkowski "mattster" (Ithaca, NY USA) - See all my reviews

This review is from: Calculus and Its Applications (9th Edition) (Hardcover)

Contrary to what some other reviewer have claimed, I found this book quite helpful. It provides the basic concepts of Calculus such as limits and derivative rules and applications, exponents and logarithms, integrals, double variable calculus, trig functions, techniques of integrations, an introduction to differential equations, and even series.

I found this book very easy to use. It presents the information in a very terse, straightforward manner. Basically, it cuts down on the mathematical theory and allows students to solve the important equations quick and easy. Instead of being lost in complicated definations of derivations, I was able to quickly find derivations and discover their uses in functions.

This is the book that I used for my "Calculus for Social and Natural Science Majors" course. Personally, I feel that I learned much from this book. I never took a Calculus class in high school and wasn't the most mathematically inclinded so i was sure that Calculus was going to be tough. This book made it really easy to understand and somehow Calculus turned into one of my easiest classes.

This book, however, is not for those who plan on taking higher level Calculus classes. It has most of the fundamentals, but not more advanced topics. Also, several topics are presented out of order from a regular Calc 1 class (so I'm told). For instance, calculus of several varibles--a topic usually covered in a third level course--occurs before techniques of intregration.

The book is quite suitable for a Business/Natural Science Calc class, as it was intended to be used for, and overall seems to make the subject easier. It provides a good means of jumping right into the subject.