索书号：O187 /E26 (5) (MIT) Multivariable calculus with analytic geometry Contents Preface Chapter1 Functions and Graphs Chapter2 Prelude to Calculus Chapter3 The Derivative Chapter4 Additional Applications of the Derivative Chapter5 The Integral Chapter6 Applications of the Integral Chapter7 Exponential and Logarithmic Functions Chapter8 Further Calculus of Transcendental Functions Chapter9 Techniques of Integration Chapter10 Polar Coordinates and Plane Curves Chapter11 Infinite Series Chapter12 Vector, Curves, and Surfaces in Space Chapter13 Partial Differentiation Chapter14 Multiple Integrals Chapter15 Vector Calculus Appendixes Answers to odd-numbered problems References for further study Index Abstract In the text the student will find lively and accessible. Seldom-covered topics have been trimmed to accommodate a learner calculus course. History and biographical notes have been added to show students the human face of calculus. Graphics calculator and computer lab projects for key sections throughout the text have been added. Indeed, a new spirit and flavor reflecting the prevalent interest in graphics calculators and computer systems will be discernible throughout this edition. Consistent with the graphical emphasis of the current calculus reform movement, several hundred new computer-generated figures have been added. Many of these additional figures serve to illustrate a more deliberative and exploratory approach to problem-solving.