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 (TM) 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.
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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
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Höhe: 276 mm
Breite: 218 mm
Dicke: 26 mm
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ISBN-13
978-0-13-476679-9 (9780134766799)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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 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 20-year career, receiving 5 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 4 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 and Gillett, and Precalculus with Sachs and Briggs, where he writes, codes and creates dynamic eTexts combining narrative, videos and Interactive Figures using Mathematica and CDF technology.
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
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
Parametric and Polar Curves
12.1 Parametric Equations
12.2 Polar Coordinates
12.3 Calculus in Polar Coordinates
12.4 Conic Sections
Review Exercises
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
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
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
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
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
Appendices
A. Proofs of Selected Theorems
B. Algebra Review ONLINE
C. Complex Numbers ONLINE
Answers
Index
Table of Integrals
