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Thomas' Calculus 13/e in SI Units

作者：George B. Thomas, Maurice D. Weir, Joel R. Hass
原價：NT$ 1,350

ISBN：9781292089799
版次：13
年份：2016
出版商：Pearson Education
頁數/規格：1188頁/平裝彩色

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Description
Thomas’ Calculus, Thirteenth Edition, introduces students to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets. With this new edition, the exercises were refined, updated, and expanded—always with the goal of developing technical competence while furthering students’ appreciation of the subject. Co-authors Hass and Weir have made it their passion to improve the text in keeping with the shifts in both the preparation and ambitions of today's students.

Features
This title is a Pearson Global Edition. The Editorial team at Pearson has worked closely with educators around the world to include content which is especially relevant to students outside the United States.

Strong exercise sets feature a great breadth of problems–progressing from skills problems to applied and theoretical problems–to encourage students to think about and practice the concepts until they achieve mastery.

Figures are conceived and rendered to provide insight for students and support conceptual reasoning.

The flexible table of contents divides topics into manageable sections, allowing instructors to tailor their course to meet the specific needs of their students.

Complete and precise multivariable coverage enhances the connections of multivariable ideas with their single-variable analogues studied earlier in the book.

New to this Edition

Two new sections:

Section 8.1 reviews basic integration formulas and the Substitution Rules combined with algebraic methods and trigonometric identities

Section 8.10 on probability as an application of improper integrals to making predictions for probabilistic models, with a wide range of applications in business and sciences

Presentation of absolute convergence before considering the Ratio and Root Tests for convergence of a series, which allows the tests to be stated in their stronger forms (Theorems 13 and 14, Section 10.5)

Updated and new art, and additional tables, supporting examples and exercises throughout

Material has been rewritten or enhanced, for greater clarity or improved motivation. Here are some examples:

Definition of continuous at x = c

Geometric insight into L’Hôpital’s Rule

Discussion of cycloid curve

Introduction to differentiability for functions of several variables

Chain Rule for paths

Most chapter introductory overviews

A variety of new examples throughout, including:

Predicting the rise in college tuition costs

Predicting the decline in tuberculosis death rates

Minimizing production costs

Integration by parts

Log formula for the inverse hyperbolic sine function

Using the Integral Test

Finding the perimeter of an ellipse

Testing multivariable critical points in an exponential function

Updated and new exercises, including:

Using regression analysis to predict Federal minimum wage, median home and energy prices, and global warming

More limits involving rational functions

Interpreting derivatives from graphs

Growth in the Gross National Product

Vehicular stopping distance

Spread of an oil spill in gulf waters

Estimating concentration of a drug

Considering endangered species

Prescribing drug dosage

Summing infinitely many areas

Representing functions by a geometric series

Unusual polar graphs

Finding the distance between skew lines in space

Finding mass and distances in our solar system

Table of Contents
1 Functions
2 Limits and Continuity
3 Derivatives
4 Applications of Derivatives
5 Integrals
6 Applications of Definite Integrals
7 Transcendental Functions
8 Techniques of Integration
9 First-Order Differential Equations
10 Infinite Sequences and Series
11 Parametric Equations and Polar Coordinates
12 Vectors and the Geometry of Space
13 Vector-Valued Functions and Motion in Space
14 Partial Derivatives
15 Multiple Integrals
16 Integrals and Vector Fields
17 Second-Order Differential Equations online

Appendices
A.1 Real Numbers and the Real Line
A.2 Mathematical Induction
A.3 Lines, Circles, and Parabolas
A.4 Proofs of Limit Theorems
A.5 Commonly Occurring Limits
A.6 Theory of the Real Numbers
A.7 Complex Numbers
A.8 The Distributive Law for Vector Cross Products
A.9 The Mixed Derivative Theorem and the Increment Theorem

George B. Thomas, Massachusetts Institute of Technology
Maurice D. Weir
Joel R. Hass, University of California, Davis

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