For courses in Multivariable Calculus. Fosters a sound conceptual grasp of vector calculus With its readable narrative, numerous figures, strong examples and exercise sets, Vector Calculus uses the language and notation of vectors and matrices to help students begin the transition from first-year calculus to more advanced technical math. Instructors will appreciate its mathematical precision, level of rigor and full selection of topics. The 5th Edition offers clarifications, new examples and new exercises ...
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For courses in Multivariable Calculus. Fosters a sound conceptual grasp of vector calculus With its readable narrative, numerous figures, strong examples and exercise sets, Vector Calculus uses the language and notation of vectors and matrices to help students begin the transition from first-year calculus to more advanced technical math. Instructors will appreciate its mathematical precision, level of rigor and full selection of topics. The 5th Edition offers clarifications, new examples and new exercises throughout. For the first time, this book is now available as a Pearson eText that includes interactive GeoGebra applets. Hallmark features of this title Introduction of basic linear algebra concepts throughout shows the connection between concepts in single- and multivariable calculus. Over 600 diagrams and figures connect analytic work to geometry and aid visualization. Many fully worked examples throughout clarify main ideas and techniques. Over 1400 exercises meet student needs: from practice with the basics, to applications, to mid-level exercises, to more challenging conceptual questions. Optional CAS exercises are provided. Chapter-ending exercises help students synthesize material from multiple sections, and true/false exercises appear at the end of each chapter. Carefully chosen advanced topics help instructors take the discussion beyond the level of other vector calculus texts. New and updated features of this title New derivations of the orthogonal projection formula and the Cauchy-Schwarz inequality appear in Chapter 1 (Vectors). A description of the geometric interpretation of second-order partial derivatives has been added to Chapter 2 (Differentiation in Several Variables). A description of the interpretation of the Lagrange multiplier has been added to Chapter 4 (Maxima and Minima in Several Variables). Chapter 5 (Multiple Integration) adds new terminology to describe elementary regions of integration , and more examples of setting up double and triple integrals; a new subsection on probability as an application of multiple integrals; and new miscellaneous exercises on expected value . New examples illustrating interesting uses of Green's theorem have been added to Chapter 6 (Line Integrals). New miscellaneous exercises have been added in Chapters 1 and 4 for readers more familiar with linear algebra. Features of Pearson eText for the 5th Edition For the first time, this text is available as a Pearson eText, featuring a number of interactive GeoGebra applets . Learn more about Pearson eText.
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