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9780134606088

Thomas' Calculus, Multivariable

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

    9780134606088

  • ISBN10:

    0134606086

  • Additional ISBN(s):

    9780137728589 , 9780321884053

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

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About This Book

Thomas' Calculus, Multivariable 14th Edition

Thomas' Calculus, Multivariable 14th Edition is a comprehensive textbook designed for the multivariable component of three-semester or four-quarter calculus courses. This book is a go-to resource for students majoring in mathematics, engineering, or science, offering a detailed exploration of multivariable calculus principles.

Who Uses It?

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

History and Editions

The 14th edition of Thomas' Calculus, Multivariable has been updated to address user feedback, incorporating the latest research and applications in mathematics and science. This edition includes detailed updates on clarity and precision, ensuring that students generalize key concepts and develop deeper understanding. The new co-author Christopher Heil (Georgia Institute of Technology) partners with author Joel Hass to preserve what is best about Thomas' time-tested text while reconsidering every word and every piece of art with today's students in mind.

Author and Other Works

Joel Hass and Christopher Heil are the authors of Thomas' Calculus, Multivariable. Joel Hass is known for his contributions to mathematics education, ensuring that the text remains current and relevant. Christopher Heil brings his expertise in mathematics to the text, focusing on helping students generalize key concepts and develop deeper understanding.

Key Features

  • Comprehensive Coverage: The book covers core concepts in multivariable calculus, including detailed explanations and examples.
  • Clarity and Precision: The text helps students reach the level of mathematical proficiency and maturity required, with support for students who need it through its balance of clear and intuitive explanations, current applications, and generalized concepts.
  • Updated Research: The 14th edition includes detailed updates on mathematical clarity and accuracy.
  • Interactive Tools: The text is complemented by Pearson's MyLab products, which include interactive features designed to enhance learning.

Detailed Information

ISBNs and Formats

  • Paperback: ISBN-13: 9780134606088, ISBN-10: 0134606086
  • Digital Edition: Available through VitalSource and other digital platforms
  • Rental Options: Various rental durations available from different retailers

Publication Details

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

Other Editions and Formats

  • 10th Edition: Available through Pearson and other retailers
  • eTextbook with MyLab: ISBN-13: 9780134606095 (Note: This may vary depending on the specific MyLab product)
  • Related ISBNs:
  • 9780134606095 (eTextbook with MyLab)
  • 9780134606101 (Loose-leaf)
  • 9780134606118 (Bundle with MyLab)

Important Notes

Before purchasing or renting this book, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab products, you may also need a Course ID, which your instructor will provide.

Used books, rentals, and purchases made outside of Pearson may not include access codes for Pearson's MyLab products, or these codes may be incorrect or previously redeemed. Always check with the seller before completing your purchase[1][4].

For the multivariable component of three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or science

Clarity and precision

Thomas' Calculus, Multivariable helps students reach the level of mathematical proficiency and maturity you require, but with support for students who need it through its balance of clear and intuitive explanations, current applications, and generalized concepts. In the 14th Edition, new co-author Christopher Heil (Georgia Institute of Technology) partners with author Joel Hass to preserve what is best about Thomas' time-tested text while reconsidering every word and every piece of art with today's students in mind. The result is a text that goes beyond memorizing formulas and routine procedures to help students generalize key concepts and develop deeper understanding.


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:

0134768507 / 9780134768502 Thomas' Calculus, Multivariable plus MyLab Math with Pearson eText -- Title-Specific Access Card Package, 14/e

 

Package consists of:   

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

 

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

 

12. Vectors and the Geometry of Space

12.1 Three-Dimensional Coordinate Systems

12.2 Vectors

12.3 The Dot Product

12.4 The Cross Product

12.5 Lines and Planes in Space

12.6 Cylinders and Quadric Surfaces

 

13. Vector-Valued Functions and Motion in Space

13.1 Curves in Space and Their Tangents

13.2 Integrals of Vector Functions; Projectile Motion

13.3 Arc Length in Space

13.4 Curvature and Normal Vectors of a Curve

13.5 Tangential and Normal Components of Acceleration

13.6 Velocity and Acceleration in Polar Coordinates

 

14. Partial Derivatives

14.1 Functions of Several Variables

14.2 Limits and Continuity in Higher Dimensions

14.3 Partial Derivatives

14.4 The Chain Rule

14.5 Directional Derivatives and Gradient Vectors

14.6 Tangent Planes and Differentials

14.7 Extreme Values and Saddle Points

14.8 Lagrange Multipliers

14.9 Taylor's Formula for Two Variables

14.10 Partial Derivatives with Constrained Variables

 

15. Multiple Integrals

15.1 Double and Iterated Integrals over Rectangles

15.2 Double Integrals over General Regions

15.3 Area by Double Integration

15.4 Double Integrals in Polar Form

15.5 Triple Integrals in Rectangular Coordinates

15.6 Applications

15.7 Triple Integrals in Cylindrical and Spherical Coordinates

15.8 Substitutions in Multiple Integrals

 

16. Integrals and Vector Fields

16.1 Line Integrals of Scalar Functions

16.2 Vector Fields and Line Integrals: Work, Circulation, and Flux

16.3 Path Independence, Conservative Fields, and Potential Functions

16.4 Green's Theorem in the Plane

16.5 Surfaces and Area

16.6 Surface Integrals

16.7 Stokes' Theorem

16.8 The Divergence Theorem and a Unified Theory

 

17. Second-Order Differential Equations (Online at www.goo.gl/MgDXPY)

17.1 Second-Order Linear Equations

17.2 Nonhomogeneous Linear Equations

17.3 Applications

17.4 Euler Equations

17.5 Power-Series Solutions

 

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

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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