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Multivariable Calculus, 7th Edition, by James Stewart
Ebook Multivariable Calculus, 7th Edition, by James Stewart
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Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With MULTIVARIABLE CALCULUS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!
- Sales Rank: #73846 in Books
- Brand: Cengage Learning
- Published on: 2011-01-01
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Dimensions: 1.00" h x 8.70" w x 10.10" l, 2.91 pounds
- Binding: Hardcover
- 600 pages
- Used Book in Good Condition
Review
10. PARAMETRIC EQUATIONS AND POLAR COORDINATES. Curves Defined by Parametric Equations. Laboratory Project: Families of Hypocycloids. Calculus with Parametric Curves. Laboratory Project: Bezier Curves. Polar Coordinates. Laboratory Project: Families of Polar Curves. Areas and Lengths in Polar Coordinates. Conic Sections. Conic Sections in Polar Coordinates. Review. 11. INFINITE SEQUENCES AND SERIES. Sequences. Laboratory Project: Logistic Sequences. Series. The Integral Test and Estimates of Sums. The Comparison Tests. Alternating Series. Absolute Convergence and the Ratio and Root Tests. Strategy for Testing Series. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series . Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. 12. VECTORS AND THE GEOMETRY OF SPACE. Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Cylinders and Quadric Surfaces. Review. 13. VECTOR FUNCTIONS. Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Applied Project: Kepler's Laws. Review. 14. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximation. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Applied Project: Designing a Dumpster. Discovery Project: Quadratic Approximations and Critical Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied Project: Hydro-Turbine Optimization. Review. 15. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Iterated Integrals. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Triple Integrals. Discovery Project: Volumes of Hyperspheres. Triple Integrals in Cylindrical Coordinates. Discovery Project: The Intersection of Three Cylinders . Triple Integrals in Spherical Coordinates. Applied Project: Roller Derby. Change of Variables in Multiple Integrals. Review. 16. ECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. Parametric Surfaces and Their Areas. Surface Integrals. Stokes' Theorem. Writing Project: Three Men and Two Theorems. The Divergence Theorem. Summary. Review. 17. SECOND-ORDER DIFFERENTIAL EQUATIONS. Second-Order Linear Equations. Nonhomogeneous Linear Equations. Applications of Second-Order Differential Equations. Series Solutions. Review. APPENDIXES. F. Proofs of Theorems. G. Graphing Calculators and Computers . H. Complex Numbers. I. Answers to Odd-Numbered Exercises.
About the Author
The late James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.
Most helpful customer reviews
1 of 1 people found the following review helpful.
Clearly Written Calc III Textbook; A lot of material for one semester.
By M. Younes
This review applies only to the hardcover book ISBN 978-0-538-49787-9. If I were able, I would have given this 4.5 stars just because there are a few sections here and there that are not, perhaps, explained as well as they could be, but overall the quality of the book--it's writing, examples, and homework problems-- is excellent. act chapter has a decent number of relevant examples and the selection and organization of homework problems does a good job of providing opportunities to practice the material. If you have not been a stellar math student or have not taken math for a long time, it would be a good idea to review chapter 10 on your own if your class is starting with a later chapter. Reading through the book's preface is a good idea as it has references to other resources. This book alone will not likely be enough to successfully master the material. Being competent with a graphing calculator is a big help with the material covered in this book. Most students will need the Slader solutions site or manual or the Stewart solutions manual unless they attend a college that has very robust tutoring assistance. This class covers a tremendous amount of material. If you have the opportunity to get the book and solutions manual ahead of time and work problems to review the following core areas: Chapters 10 (Parametric Equations and Polar Coordinates) 12 & 13 (Vectors and Vector Functions) before the class starts, so much the better. This textbook emphasizes the ability to solve many types of problems. Although some proofs are given in the chapters, my professor did not emphasize being able to do proofs. If you are taking a Calc III class that requires a lot of proofs, you may want to get another textbook that emphasizes that more.
Overall, it was one of the best written math textbooks I have used. It also includes a lot of high quality illustrations.
8 of 8 people found the following review helpful.
I learned Multivariable 8 years after Calc 2
By James
I had not seen calculus in over 8 years. I took this course and the number of problems in this book was fantastic. The examples in each section are also very helpful. The pictures and graphs are usually pretty good too. I would say to watch youtube videos if you want to get the best lessons, and use the textbook problems for practice. There is no other way to succeed in calculus unless you do the problems. As many as possible. The book is what you make of it.
6 of 6 people found the following review helpful.
Great with Lectures but Not Recommended for Self-Study
By James Berlin
[Please note that this book is specially made for UC Berkeley use ONLY] The problems follow the college calculus material well, and even though some of the explanations and proofs may be found a bit lacking if one does self-study, this textbook is intended to be accompanied by lectures; in this capacity, Stewart does not disappoint. We used Stewart's other book, Early Transcendentals at my university (not UC Berkeley where I used this book for a summer course), and I can tell you that this book has the same quality level problem sets for you to practice with for both homework assignments and exam review. The problems are challenging and cohesive with the learning material, and really helps to give the student a firm grasp of single variable calculus. Please note again, though, that this would not be a good book for self-study because of some of the more difficult concepts that are not explained to the full detail they should be. I would highly recommend purchasing this book on Amazon because it is substantially cheaper than a university bookstore, and please note that this is a paperback, which makes it very easy to transport. We college students already have way too many heavy textbooks to carry around, and it is a relief to be able to carry such a great textbook without too much strain. You really can't go wrong with a Stewart calculus textbook anyway, being renowned and popular as his textbooks are with university professors; this textbook is no exception!
Please don't hesitate to leave a comment and ask questions if you'd like! I'd be more than happy to answer them.
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