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Multivariable Calculus (3rd Ed.)

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Multivariable Calculus

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 instructors 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.


Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm 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 Math, search for:

0134996704 / 9780134996707 Multivariable Calculus and MyLab Math with Pearson eText - Title-Specific Access Card Package, 3/e
Package consists of:
  • 0134766792 / 9780134766799 Calculus, Multivariable
  • 0134856929 / 9780134856926 MyLab Math with Pearson eText - Standalone Access Card - for Calculus: Early Transcendentals

Table of Contents

  1. 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
  2. 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
  3. Parametric and Polar Curves
    • 12.1 Parametric Equations
    • 12.2 Polar Coordinates
    • 12.3 Calculus in Polar Coordinates
    • 12.4 Conic Sections
    • Review Exercises
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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 Complex Forcing Functions
    • Review Exercises

Appendix A. Proofs of Selected Theorems

Appendix B. Algebra Review ONLINE

Appendix C. Complex Numbers ONLINE

Answers

Index

Table of Integrals

About our authors

William Briggs has been on the mathematics faculty at the University of Colorado at Denver for 23 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 an

Hallmark features of this title

  • Figures are based on the authors' experiences with students who learn better once they are able to visualize concepts. Whenever possible, the figures communicate essential ideas using annotations reminiscent of an instructor's voice in class.
  • Annotated Worked Examples guide students through the process of a solution and show that each step in a mathematical argument is rigorously justified.
    • Annotations are designed to echo how instructors talk through examples in lecture.
    • They also help students who may struggle with the algebra and trigonometry steps within the solution process.
  • Quick Check Questions throughout encourage students to do the calculus as they are reading about it, and resemble the type of questions instructors pose in class.

Date de parution :

Ouvrage de 664 p.

21.8x27.6 cm

Disponible chez l'éditeur (délai d'approvisionnement : 14 jours).

142,39 €

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Thème de Multivariable Calculus :

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