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Calculus 4/e

作者：Robert T. Smith, Roland B. Minton
原價：NT$ 1,300

ISBN：9780071325370
版次：4
年份：2012
出版商：McGraw-Hill
頁數/規格：1232頁/平裝彩色

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Description
Now in its 4th edition,　Smith/Minton, Calculus　offers students and instructors a mathematically sound text, robust exercise sets and elegant presentation of calculus concepts. When packaged with ALEKS Prep for Calculus, the most effective remediation tool on the market, Smith/Minton offers a complete package to ensure students success in calculus. The new edition has been updated with a reorganization of the exercise sets, making the range of exercises more transparent. Additionally, over 1,000 new classic calculus problems were added.

Key Features

Applications – The text provides numerous and varied applications that relate calculus to the real world, many of which are unique to the Smith/Minton series. Worked examples and exercises are frequently developed with an applied focus in order to motivate the presentation of new topics, further illustrate familiar topics, and connect the conceptual development of calculus with students’ every day experiences.

Exploratory Exercises – Exercise sets from each section conclude with a series of in-depth exploratory exercises designed to challenge students’ understanding of the material.
Beyond Formulas bboxes appear in every section to encourage students to think mathematically and go beyond routine answer calculation.

Definitions, Theorems and Proofs – All formal definitions and theorems are clearly boxed within the text for easy visual reference. Proofs are clearly labeled for quick reference.

Use of Graphs & Tables – Being able to visualize a problem is an invaluable aid in understanding the concept presented. To this purpose, more than 1,500 computer generated graphs have been integrated throughout the text.

Writing Exercises – Each exercise set begins with writing exercises that encourage students to carefully consider important mathematical concepts and ideas in new contexts, and to express their findings in their own words. The writing exercises may also be used as springboards for class discussion.

Technology Icons – Exercises that can most easily be solved by using a graph calculator or computer are clearly identified with a technology icon.
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New Features

ALEKS Prep for Calculus is a Web-based, artificially intelligent assessment and learning system. ALEKS uses adaptive questioning to quickly and accurately determine exactly what a student knows and doesn't know in a course. ALEKS then instructs the student on the topics she is most ready to learn. ALEKS Prep for Calculus focuses on helping students remediate on the prerequisite knowledge necessary for success in Calculus.

1,000 new classic calculus problems were added covering topics from polynomials to multivariable calculus, including optimization, related rates, integration techniques and applications, parametric and polar equations, vectors, vector calculus, and differential equations.

Reorganized Exercise Sets – Exercise sets have been reorganized to make the range of problems more transparent. Earlier exercises focus on fundamentals, as developed in examples in the text. Later exercises explore interesting extensions of the material presented in the text.

Application exercises have been separated out in all appropriate sections. A new header identifies the location of applied exercises which are designed to show students the connection between what they learn in class, other areas of study, and outside life.

Multi-step exercises help students make connections among concepts and require students to become more critical readers. Closely related exercises are different parts of the same numbered exercise, with follow-up questions to solidify lessons learned.

The derivatives of hyperbolic functions are developed in Section 6.6, giving this important class of functions a full development. Separating these functions from the exponential and trigonometric functions allows for early and comprehensive exploration of the relationship between these functions, exponential functions, trigonometric functions, and their derivatives and integrals.

Table of Contents
Chapter 0: Preliminaries
Chapter 1: Limits and Continuity
Chapter 2: Differentiation
Chapter 3: Applications of the Differentiation
Chapter 4: Integration
Chapter 5: Applications of the Definite Integral
Chapter 6: Exponentials, Logarithms and Other Transcendental Functions
Chapter 7: Integration Techniques
Chapter 8: First-Order Differential Equations
Chapter 9: Infinite Series
Chapter 10: Parametric Equations and Polar Coordinates
Chapter 11: Vectors and the Geometry of Space
Chapter 12: Vector-Valued Functions
Chapter 13: Functions of Several Variables and Partial Differentiation
Chapter 14: Multiple Integrals
Chapter 15: Vector Calculus
Chapter 16: Second-Order Differential Equations

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