Calculus - One and Several Variables with Analytic Geometry

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9780471046608: Calculus - One and Several Variables with Analytic Geometry
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A revised and updated presentation of calculus with applications to engineering and the sciences. Changes include an early treatment of the calculus of the trigonometric functions, an increased use of Riemann definition of the integral, the introduction of several numerical techniques, an early chapter on mathematical modeling, expanded and balanced exercise sets, suggested procedures for problem solving, revised proofs, and additional examples. Chapter 13 is contained in both part I and part II.

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Salas, Saturnino L.; Hille, Einar
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Book Description John Wiley & Sons, Inc. Hard Cover. Condition: Very Good. Fourth Edition 1st Printing. Due to the weight of this volume, it can only be shipped to delivery addresses located within Canada and the United States. Previous Owner Markings (Minor Notes Neatly Inked to Front and Rear Endpapers); Corners, Spine, Boards Bumped; Moderate Shelf Rub to Boards; Spine Slightly Cocked; Edges Moderately Soiled. CONTENTS: Chapter 1 Introduction; Chapter 2 Limits and Continuity; Chapter 3 Differentiation; Chapter 4 The Mean-Value Theorem and Applications; Chapter 5 Integration; Chapter 6 The Logarithm and Exponential Functions; Chapter 7 The Trigonometric and Hyperbolic Functions; Chapter 8 The Technique of Integration; Chapter 9 The Conic Sections; Chapter 10 Volume, Work, and Other Applications of the Integral; Chapter 11 Polar Coordinates; Parametric Equations; Chapter 12 Sequences; Indeterminate Forms; Improper Integrals; Chapter 13 Infinite Series; Chapter 14 Vectors; Chapter 15 Vector Calculus; Chapter 16 Functions of Several Variables; Chapter 17 Gradients; Extreme Values; Differentials; Chapter 18 Double and Triple Integrals; Chapter 19 Line Integrals and Surface Integrals; Chapter 20 Complex Numbers and Complex Functions; Chapter 21 Some Elementary Differential Equations; Appendix A. Some Elementary Topics; Appendix B. Some Additional Proofs; Appendix C. Tables; Answers to Starred Exercises; Index; Table of Integrals. EXCERPT: PREFACE - -At the suggestion of several valued reviewers I have expanded our treatment of three-dimensional calculus and added two new chapters: a chapter on complex numbers and functions, and a chapter on differential equations. There are other changes: here and there a simpler proof, an additional example, a new exercise, a more detailed explanation. A chapter-by-chapter listing of the changes is given on page viii. Still, all in all, the book remains much the same - fundamental ideas, basic techniques, standard applications. As before, Calculus: One and Several Variables will be made available in a single complete volume and in two parts: Part I - functions of one variable, analytic geometry, sequences and series (Chapters 1-13 of the complete volume); Part II - sequences and series, vector calculus, functions of several variables, complex functions, differential equations (Chapters 12-21 of the complete volume) . . . Size: 4to - over 9" - 12" tall. Seller Inventory # 003056

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