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Thomas' Calculus

Thomas' Calculus

Publisher Pearson Education
Year 01/05/2016
Edition 13
Pages 1192
Version paperback
Readership level College/higher education
Language English
ISBN 9781292089799
Categories Calculus & mathematical analysis
Replaces 9780321643636
$77.74 (with VAT)
303.00 PLN / €66.42 / £60.11
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Book description

Were you looking for the book with access to Pearson MyLab Mathematics Global? This product is the book alone and does NOT come with access to Pearson MyLab Mathematics Global. Buy Thomas’ Calculus, Thirteenth Edition with Pearson MyLab Mathematics Global access card (ISBN 9781292089942) if you need access to Pearson MyLab Mathematics Global as well, and save money on this resource. You will also need a course ID from your instructor to access Pearson MyLab Mathematics Global.


This text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors).


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.


The text is available with a robust Pearson MyLab Mathematics® course–an online homework, tutorial, and study solution. In addition to interactive multimedia features like lecture videos and eBook, nearly 9,000 algorithmic exercises are available for students to get the practice they need.


Pearson MyLab Mathematics is an online homework, tutorial, and assessment product designed to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts.

Thomas' Calculus

Table of contents

1 Functions

1.1 Functions and Their Graphs

1.2 Combining Functions; Shifting and Scaling Graphs

1.3 Trigonometric Functions

1.4 Graphing with Software


2 Limits and Continuity

2.1 Rates of Change and Tangents to Curves

2.2 Limit of a Function and Limit Laws

2.3 The Precise Definition of a Limit

2.4 One-Sided Limits

2.5 Continuity

2.6 Limits Involving Infinity; Asymptotes of Graphs


3 Derivatives
3.1 Tangents and the Derivative at a Point

3.2 The Derivative as a Function

3.3 Differentiation Rules

3.4 The Derivative as a Rate of Change

3.5 Derivatives of Trigonometric Functions

3.6 The Chain Rule

3.7 Implicit Differentiation

3.8 Related Rates

3.9 Linearization and Differentials


4 Applications of Derivatives

4.1 Extreme Values of Functions

4.2 The Mean Value Theorem

4.3 Monotonic Functions and the First Derivative Test

4.4 Concavity and Curve Sketching
4.5 Applied Optimization

4.6 Newton’s Method

4.7 Antiderivatives


5 Integrals

5.1 Area and Estimating with Finite Sums

5.2 Sigma Notation and Limits of Finite Sums

5.3 The Definite Integral

5.4 The Fundamental Theorem of Calculus

5.5 Indefinite Integrals and the Substitution Method

5.6 Definite Integral Substitutions and the Area Between Curves


6 Applications of Definite Integrals

6.1 Volumes Using Cross-Sections

6.2 Volumes Using Cylindrical Shells

6.3 Arc Length

6.4 Areas of Surfaces of Revolution

6.5 Work and Fluid Forces

6.6 Moments and Centers of Mass


7 Transcendental Functions

7.1 Inverse Functions and Their Derivatives

7.2 Natural Logarithms

7.3 Exponential Functions

7.4 Exponential Change and Separable Differential Equations

7.5 Indeterminate Forms and L’Hôpital’s Rule

7.6 Inverse Trigonometric Functions

7.7 Hyperbolic Functions

7.8 Relative Rates of Growth


8 Techniques of Integration

8.1 Using Basic Integration Formulas

8.2 Integration by Parts
8.3 Trigonometric Integrals

8.4 Trigonometric Substitutions

8.5 Integration of Rational Functions by Partial Fractions

8.6 Integral Tables and Computer Algebra Systems

8.7 Numerical Integration


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