Thomas' Calculus 13/e in SI Units
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$
1,350
- 一般書籍
- ISBN：9781292089799
- 作者：George B. Thomas, Maurice D. Weir, Joel R. Hass
- 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.
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.
New to this Edition
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
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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
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
Maurice D. Weir
Joel R. Hass, University of California, Davis
