Overview

For 3- to 4-semester courses covering single-variable and multivariable calculus, taken by students of mathematics, engineering, natural sciences, or economics. The most successful new calculus text in the last two decades The much-anticipated 3rd Edition of Briggs’ Calculus Series retains its hallmark features while introducing important advances and refinements. Briggs, Cochran, Gillett, and Schulz build from a foundation of meticulously crafted exercise sets, then draw students into the narrative through writing that reflects the voice of the instructor. Examples are stepped out and thoughtfully annotated, and figures are designed to teach rather than simply supplement the narrative. The groundbreaking eBook contains approximately 700 Interactive Figures that can be manipulated to shed light on key concepts. For the 3rd Edition, the authors synthesized feedback on the text and MyLab™ Math content from over 140 instructors and an Engineering Review Panel. This thorough and extensive review process, paired with the authors’ own teaching experiences, helped create a text that was designed for today’s calculus instructors and students. Also available with MyLab Math MyLab Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.

Full Product Details

Author:   William Briggs ,  Lyle Cochran ,  Bernard Gillett ,  Eric Schulz
Publisher:   Pearson Education (US)
Imprint:   Pearson
Edition:   3rd edition
Dimensions:   Width: 21.80cm , Height: 2.60cm , Length: 27.60cm
Weight:   1.320kg
ISBN:  

9780134766799

ISBN 10:   0134766792
Pages:   664
Publication Date:   27 February 2018
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

10. Sequences and Infinite Series 10.1 An Overview 10.2 Sequences 10.3 Infinite Series 10.4 The Divergence and Integral Tests 10.5 Comparison Tests 10.6 Alternating Series 10.7 The Ratio and Root Tests 10.8 Choosing a Convergence Test Review Exercises 11. Power Series 11.1 Approximating Functions with Polynomials 11.2 Properties of Power Series 11.3 Taylor Series 11.4 Working with Taylor Series Review Exercises 12. Parametric and Polar Curves 12.1 Parametric Equations 12.2 Polar Coordinates 12.3 Calculus in Polar Coordinates 12.4 Conic Sections Review Exercises 13. Vectors and the Geometry of Space 13.1 Vectors in the Plane 13.2 Vectors in Three Dimensions 13.3 Dot Products 13.4 Cross Products 13.5 Lines and Planes in Space 13.6 Cylinders and Quadric Surfaces Review Exercises 14. Vector-Valued Functions 14.1 Vector-Valued Functions 14.2 Calculus of Vector-Valued Functions 14.3 Motion in Space 14.4 Length of Curves 14.5 Curvature and Normal Vectors Review Exercises 15. Functions of Several Variables 15.1 Graphs and Level Curves 15.2 Limits and Continuity 15.3 Partial Derivatives 15.4 The Chain Rule 15.5 Directional Derivatives and the Gradient 15.6 Tangent Planes and Linear Approximation 15.7 Maximum/Minimum Problems 15.8 Lagrange Multipliers Review Exercises 16. Multiple Integration 16.1 Double Integrals over Rectangular Regions 16.2 Double Integrals over General Regions 16.3 Double Integrals in Polar Coordinates 16.4 Triple Integrals 16.5 Triple Integrals in Cylindrical and Spherical Coordinates 16.6 Integrals for Mass Calculations 16.7 Change of Variables in Multiple Integrals Review Exercises 17. Vector Calculus 17.1 Vector Fields 17.2 Line Integrals 17.3 Conservative Vector Fields 17.4 Green’s Theorem 17.5 Divergence and Curl 17.6 Surface Integrals 17.7 Stokes’ Theorem 17.8 Divergence Theorem Review Exercises D2 Second-Order Differential Equations ONLINE D2.1 Basic Ideas D2.2 Linear Homogeneous Equations D2.3 Linear Nonhomogeneous Equations D2.4 Applications D2.5 C

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Author Information

William Briggs has been on the mathematics faculty at the University of Colorado at Denver for twenty-three years. He received his BA in mathematics from the University of Colorado and his MS and PhD in applied mathematics from Harvard University. He teaches undergraduate and graduate courses throughout the mathematics curriculum with a special interest in mathematical modeling and differential equations as it applies to problems in the biosciences. He has written a quantitative reasoning textbook, Using and Understanding Mathematics; an undergraduate problem solving book, Ants, Bikes, and Clocks; and two tutorial monographs, The Multigrid Tutorial and The DFT: An Owner’s Manual for the Discrete Fourier Transform. He is the Society for Industrial and Applied Mathematics (SIAM) Vice President for Education, a University of Colorado President’s Teaching Scholar, a recipient of the Outstanding Teacher Award of the Rocky Mountain Section of the Mathematical Association of America (MAA), and the recipient of a Fulbright Fellowship to Ireland. Lyle Cochran is a professor of mathematics at Whitworth University in Spokane, Washington. He holds BS degrees in mathematics and mathematics education from Oregon State University and a MS and PhD in mathematics from Washington State University. He has taught a wide variety of undergraduate mathematics courses at Washington State University, Fresno Pacific University, and, since 1995, at Whitworth University. His expertise is in mathematical analysis, and he has a special interest in the integration of technology and mathematics education. He has written technology materials for leading calculus and linear algebra textbooks including the Instructor’s Mathematica Manual for Linear Algebra and Its Applications by David C. Lay and the Mathematica Technology Resource Manual for Thomas’ Calculus. He is a member of the MAA and a former chair of the Department of Mathematics and Computer Science at Whitworth University. Bernard Gillett is a Senior Instructor at the University of Colorado at Boulder; his primary focus is undergraduate education. He has taught a wide variety of mathematics courses over a twenty-year career, receiving five teaching awards in that time. Bernard authored a software package for algebra, trigonometry, and precalculus; the Student’s Guide and Solutions Manual and the Instructor’s Guide and Solutions Manual for Using and Understanding Mathematics by Briggs and Bennett; and the Instructor’s Resource Guide and Test Bank for Calculus and Calculus: Early Transcendentals by Briggs, Cochran, and Gillett. Bernard is also an avid rock climber and has published four climbing guides for the mountains in and surrounding Rocky Mountain National Park. Eric Schulz has been teaching mathematics at Walla Walla Community College since 1989 and began his work with Mathematica in 1992. He has an undergraduate degree in mathematics from Seattle Pacific University and a graduate degree in mathematics from the University of Washington. Eric loves working with students and is passionate about their success. His interest in innovative and effective uses of technology in teaching mathematics has remained strong throughout his career. He is the developer of the Basic Math Assistant, Classroom Assistant, and Writing Assistant palettes that ship in Mathematica worldwide. He is an author on multiple textbooks: Calculus and Calculus: Early Transcendentals with Briggs, Cochran, Gillett, and Precalculus with Sachs, Briggs — where he writes, codes,

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