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9780134439419

Thomas' Calculus Early Transcendentals, Single Variable

by Hass, Joel R.; Heil, Christopher E.; Weir, Maurice D.
  • ISBN13:

    9780134439419

  • ISBN10:

    0134439414

  • Edition: 14th
  • Format: Paperback
  • Copyright: 2017-01-01
  • Publisher: Pearson
  • View Upgraded Edition

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About This Book

Thomas' Calculus: Early Transcendentals, Single Variable

ISBN: 9780134439419

About This Book

Thomas' Calculus: Early Transcendentals, Single Variable is a comprehensive textbook designed for the single-variable component of three-semester or four-quarter calculus courses. It's a go-to resource for students and educators alike, offering a detailed exploration of calculus principles and meeting scope and sequence requirements for typical introductory calculus courses.

Who Uses It?

Primarily, this book is used by students and instructors in introductory calculus courses at the college and university levels. It's also a valuable resource for anyone interested in understanding the basics of calculus, including professionals looking to refresh their knowledge or expand their understanding of mathematical principles.

History and Editions

The 14th edition of Thomas' Calculus: Early Transcendentals has been updated to address user feedback, incorporating the latest research and applications in calculus. This edition includes detailed updates on mathematical clarity and accuracy, ensuring that it remains current and relevant. The text balances clear and intuitive explanations with current applications and generalized concepts, helping students generalize key concepts and develop a deeper understanding of calculus.

Author and Other Works

Joel R. Hass, Maurice D. Weir, and Christopher E. Heil are the authors of Thomas' Calculus: Early Transcendentals. Joel Hass is known for his ability to explain complex mathematical concepts clearly and simply. Maurice Weir brings his expertise in calculus to the text, ensuring that it remains current and relevant. Christopher Heil, a new co-author in the 14th edition, partners with Joel Hass to preserve what is best about Thomas' time-tested text while reconsidering every word and piece of art with students in mind.

Key Features

  • Comprehensive Coverage: The book covers core concepts in single-variable calculus, including detailed explanations and examples.
  • Interactive Digital Learning Experience: The text offers an interactive digital learning experience with instant feedback on assignments and study tools.
  • Supportive Learning Tools: The book provides help when and where you need it, making it easier for students to understand and apply calculus concepts.
  • Detailed Explanations: The text includes clear and intuitive explanations, current applications, and generalized concepts to help students generalize key concepts and develop a deeper understanding of calculus.

Detailed Information

ISBNs and Formats

  • 9780134439419: Hardcover
  • 9780137399185: Interactive digital learning experience (14th edition)

Publication Details

  • Publisher: Pearson Education
  • Publication Date: January 1, 2017
  • Number of Pages: Varies by edition
  • Language: English

Other Editions and Formats

  • 9780137399185: Interactive digital learning experience (14th edition)
  • 9780134439419: Hardcover (14th edition)
  • 9780134439414: Paperback (14th edition)

Related ISBNs:

  • 9780137399185: Interactive digital learning experience (14th edition)
  • 9780134439414: Paperback (14th edition)
  • 9780134439419: Hardcover (14th edition)

This detailed information section provides a quick reference for all the available formats and sources for Thomas' Calculus: Early Transcendentals, Single Variable, making it easier to find and access the book in the preferred format.

Also available with MyLab Math

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. A full suite of Interactive Figures have been added to the accompanying MyLab Math course to further support teaching and learning. Enhanced Sample Assignments include just-in-time prerequisite review, help keep skills fresh with distributed practice of key concepts, and provide opportunities to work exercises without learning aids to help students develop confidence in their ability to solve problems independently.

 

Note: You are purchasing a standalone product; MyLab does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. 


If you would like to purchase both the physical text and MyLab, search for:


0134768515 / 9780134768519 Thomas' Calculus: Early Transcendentals, Single Variable plus MyLab Math with Pearson eText -- Title-Specific Access Card Package, 14/e

 

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Author Biography

Joel Hass received his PhD from the University of California Berkeley. He is currently a professor of mathematics at the University of California Davis. He has coauthored widely used calculus texts as well as calculus study guides. He is currently on the editorial board of several publications, including the Notices of the American Mathematical Society. He has been a member of the Institute for Advanced Study at Princeton University and of the Mathematical Sciences Research Institute, and he was a Sloan Research Fellow. Hass’s current areas of research include the geometry of proteins, three dimensional manifolds, applied math, and computational complexity. In his free time, Hass enjoys kayaking.


Christopher Heil received his PhD from the University of Maryland.  He is currently a professor of mathematics at the Georgia Institute of Technology.  He is the author of a graduate text on analysis and a number of highly cited research survey articles.  He serves on the editorial boards of Applied and Computational Harmonic Analysis and The Journal of Fourier Analysis and Its Applications.  Heil's current areas of research include redundant representations, operator theory, and applied harmonic analysis.  In his spare time, Heil pursues his hobby of astronomy.


Maurice D. Weir (late) of the the Naval Postgraduate School in Monterey, California was Professor Emeritus as a member of the Department of Applied Mathematics. He held a DA and MS from Carnegie-Mellon University and received his BS at Whitman College. Weir was awarded the Outstanding Civilian Service Medal, the Superior Civilian Service Award, and the Schieffelin Award for Excellence in Teaching. He co-authored eight books, including University Calculus and 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

1.5 Exponential Functions

1.6 Inverse Functions and Logarithms

 

 

2. Limits and Continuity

2.1 Rates of Change and Tangent Lines 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 Tangent Lines 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 Derivatives of Inverse Functions and Logarithms  

3.9 Inverse Trigonometric Functions   

3.10 Related Rates   

3.11 Linearization and Differentials

 

4. Applications of Derivatives

4.1 Extreme Values of Functions on Closed Intervals  

4.2 The Mean Value Theorem   

4.3 Monotonic Functions and the First Derivative Test   

4.4 Concavity and Curve Sketching   

4.5 Indeterminate Forms and L’Hôpital’s Rule   

4.6 Applied Optimization   

4.7 Newton’s Method    

4.8 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. Integrals and Transcendental Functions

7.1 The Logarithm Defined as an Integral

7.2 Exponential Change and Separable Differential Equations   

7.3 Hyperbolic Functions   

7.4 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

8.8 Improper Integrals

8.9 Probability

 

9. First-Order Differential Equations

9.1 Solutions, Slope Fields, and Euler's Method

9.2 First-Order Linear Equations

9.3 Applications

9.4 Graphical Solutions of Autonomous Equations

9.5 Systems of Equations and Phase Planes

 

10. Infinite Sequences and Series

10.1 Sequences

10.2 Infinite Series

10.3 The Integral Test

10.4 Comparison Tests

10.5 Absolute Convergence; The Ratio and Root Tests

10.6 Alternating Series and Conditional Convergence

10.7 Power Series

10.8 Taylor and Maclaurin Series

10.9 Convergence of Taylor Series

10.10 Applications of Taylor Series

 

11. Parametric Equations and Polar Coordinates

11.1 Parametrizations of Plane Curves

11.2 Calculus with Parametric Curves

11.3 Polar Coordinates

11.4 Graphing Polar Coordinate Equations

11.5 Areas and Lengths in Polar Coordinates

11.6 Conic Sections

11.7 Conics in Polar Coordinates

 

Appendices

1. Real Numbers and the Real Line

2. Mathematical Induction

3. Lines, Circles, and Parabolas

4. Proofs of Limit Theorems

5. Commonly Occurring Limits

6. Theory of the Real Numbers

7. Complex Numbers

8. The Distributive Law for Vector Cross Products

9. The Mixed Derivative Theorem and the Increment Theorem

Supplemental Materials

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