For one-semester undergraduate-level courses in Multivariable Calculus. This text combines traditional mainstream calculus with the most flexible approach to new ideas and calculator/computer technology. It contains superb problem sets and a fresh conceptual emphasis flavored by new technological possibilities.

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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. 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

The YouTube Channel for this book, with a complete set of video lectures and hundreds of video explanations of exercises, is at: https://www.youtube.com/playlist?list=PLGKxWeKRIy4WVzMzL4OB8HVabYagNrkO5 For more information, see the book webpage at: http://www.math.duke.edu/~cbray/mv/ This is a textbook on multivariable calculus, whose target audience is the students in Math 212 at Duke University — a course in multivariable calculus intended for students majoring in the sciences and engineering. This book has been used in summer offerings of that course several times, taught by Clark Bray. It is intended to fill a gap in the spectrum of multivariable calculus textbooks. It goes beyond books that are oriented around formulas that students can simply memorize, but it does not include the abstraction and rigor that can be found in books that give the most complete and sophisticated presentations of the material. This book would be appropriate for use at any university. It assumes only that the student is proficient in single variable calculus and its prerequisites. The material in this book is developed in a way such that students can see a motivation behind the development, not just the results. The emphasis is on giving students a way to visualize the ideas and see the connections between them, with less emphasis on rigor. The book includes substantial applications, including much discussion of gravitational, electric, and magnetic fields, Maxwell’s laws, and the relationships of these physical ideas to the vector calculus theorems of Gauss and Stokes. It also includes a brief discussion of linear algebra, allowing for the discussion of the derivative transformation and Jacobian matrices, which are then used often elsewhere in the book. And there are extensive discussions of multivariable functions and the different ways to represent them geometrically, manipulating multivariable equations and the effects on the solution sets.

In this book, intended as a supplement to another textbook or course, I attempted to condense a lot of information down and provide clear explanations of the essential concepts. Not a lot of emphasis is put on applications or rigor, but proofs or motivations at least are included for the majority of topics. The exercises, while few in number, all have solutions, with step by step solutions for some of the harder ones. This book is meant for anyone learning multivariable calculus for the first time. No experience other than a standard single variable calculus course is necessary. A (free) pdf version can be obtained here: https://leanpub.com/multivariablecalculus

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, Eighth 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.