# Technical Calculus With Analytic Geometry

## Gersting, Judith L.

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Skillfully conceived and written text, with many special features, covers functions and graphs, straight lines and conic sections, new coordinate systems, the derivative, patterns for integration, differential equations, much more. Many examples, exercises and practice problems, with answers. Advanced undergraduate/graduate-level. 1984 edition.

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Contenuti:

Preface to the Instructor Note to the Student 1 Functions and Graphs 1.1 Functions 1.2 Types of Functions 1.3 Graphing 1.4 Distance Formula and Slope STATUS CHECK 1.5 More Exercises for Chapter 1 2 Straight Lines and Conic Sections 2.1 Why Analytic Geometry 2.2 The Straight Line 2.3 The Parabola 2.4 The Ellipse and Circle 2.5 The Hyperbola 2.6 The Second-Degree Equation STATUS CHECK 2.7 More Exercises for Chapter 2 3 New Coordinate Systems 3.1 Graphing in Three Dimensions 3.2 Polar Coordinates 3.3 Polar Graphs STATUS CHECK 3.4 More Exercises for Chapter 3 4 The Derivative 4.1 Introduction 4.2 Limits 4.3 The Definition of the Derivative 4.4 General Interpretation of the Derivative 4.5 Differentiating Polynomials 4.6 Differentiating Products and Quotients 4.7 Differentiating Powers of Functions 4.8 Higher-Order Derivatives 4.9 Implicit Differentiation 4.10 Partial Derivatives STATUS CHECK 4.11 More Exercises for Chapter 4 5 Using the Derivative 5.1 Tangents and Normals 5.2 Curve Sketching 5.3 Maxima and Minima 5.4 Motion 5.5 Related Rates 5.6 Differentials 5.7 Applications of Partial Derivatives STATUS CHECK 5.8 More Exercises for Chapter 5 6 Integration 6.1 The Indefinite Integral 6.2 Area Under a Curve; the Definite Integral 6.3 The Fundamental Theorem STATUS CHECK 6.4 More Exercises for Chapter 6 7 Using the Integral 7.1 Indefinite Integral 7.2 Area 7.3 Volume 7.4 Moments 7.5 Fluid Pressure and Force 7.6 Other Applications 7.7 Double Integrals STATUS CHECK 7.8 More Exercises for Chapter 7 8 Derivatives of Transcendental Functions 8.1 Quick Trigonometry Review 8.2 Derivative of the Sine Function 8.3 Derivatives of Other Trigonometric Functions 8.4 Inverse Trigonometric Functions and Their Derivatives 8.5 Applications 8.6 The Exponential and Logarithmic Functions 8.7 Derivatives of Logarithmic and Exponential Functions 8.8 Applications STATUS CHECK 8.9 More Exercises for Chapter 8 9 Patterns for Integration 9.1 The Power Rule 9.2 The Logarithmic Form 9.3 The Exponential Form 9.4 Basic Trigonometric Forms 9.5 Tricks for Trigonometric Integrals 9.6 Inverse Trigonometric Forms 9.7 Integration by Parts 9.8 Integration by Trigonometric Substitution 9.9 Integration by Partial Functions 9.10 Integration Tables 9.11 Approximate Methods STATUS CHECK 9.12 More Exercises for Chapter 9 10 Series Expansion of Functions 10.1 Infinite Series 10.2 Maclaurin Series 10.3 Operating with Series 10.4 Computing with Series 10.5 Taylor Series 10.6 Fourier Series STATUS CHECK 10.7 More Exercises for Chapter 10 11 Differential Equations 11.1 Differential Equations and Their Solutions 11.2 Separation of Variables 11.3 Regrouping to Advantage 11.4 First-Order Linear Differential Equations 11.5 Applications 11.6 Approximation Techniques 11.7 Second-Order Linear Homogeneous Equations 11.8 Repeated or Complex Roots 11.9 Nonhomogeneous Equations 11.10 Applications 11.11 Laplace Transforms 11.12 Differential Equations and Laplace Transforms STATUS CHECK 11.13 More Exercises for Chapter 11 Glossary Appendices 1. Table of Geometric Formulas 2. International System of Units 3. Table of Integrals Answers to Practice Problems Answers to Odd-Numbered Exercises Index

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## 1.Technical Calculus with Analytic Geometry (Dover Books on Mathematics)

Editore: Dover Publications (2010)
ISBN 10: 048667343X ISBN 13: 9780486673431
Nuovi Paperback Quantità: 1
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Descrizione libro Dover Publications, 2010. Paperback. Condizione libro: New. Reprint. Codice libro della libreria DADAX048667343X

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## 2.Technical Calculus with Analytic Geometry (Dover Books on Mathematics)

Editore: Dover Publications (2010)
ISBN 10: 048667343X ISBN 13: 9780486673431
Nuovi Paperback Quantità: 1
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Descrizione libro Dover Publications, 2010. Paperback. Condizione libro: New. book. Codice libro della libreria 048667343X

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## 3.Technical Calculus with Analytic Geometry (Dover Books on Mathematics)

Editore: Dover Publications (2010)
ISBN 10: 048667343X ISBN 13: 9780486673431
Nuovi Paperback Quantità: 2
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Descrizione libro Dover Publications, 2010. Paperback. Condizione libro: New. Codice libro della libreria P11048667343X

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## 4.Technical Calculus with Analytic Geometry

Editore: Dover Pubns (1992)
ISBN 10: 048667343X ISBN 13: 9780486673431
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Descrizione libro Dover Pubns, 1992. Paperback. Condizione libro: Brand New. reprint edition. 501 pages. 9.50x6.75x1.00 inches. In Stock. Codice libro della libreria 048667343X

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## 5.Technical Calculus with Analytic Geometry (Dover Books on Mathematics)

Editore: Dover Publications
ISBN 10: 048667343X ISBN 13: 9780486673431
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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 048667343X New Condition. Codice libro della libreria NEW6.1791849

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