- Series
- Addison-Wesley
- Author
- Allyn J. Washington
- Publisher
- Pearson
- Cover
- Softcover
- Edition
- 4
- Language
- English
- Total pages
- 576
- Pub.-date
- June 2001
- ISBN13
- 9780201711127
- ISBN
- 0201711125
- Related Titles

ISBN | Product | Product | Price CHF | Available | |
---|---|---|---|---|---|

Technical Calculus with Analytic Geometry |
9780201711127 Technical Calculus with Analytic Geometry |
129.60 | approx. 7-9 days |

A best seller in the industry for more than 20 years, *Technical Calculus with Analytic Geometry*, 4/e features comprehensive coverage of calculus at the technical level. Covering the fundamentals of differential and integral calculus without an overwhelming amount of theory, Washington emphasizes techniques and technically oriented applications. The fourth edition has been updated to include an expanded discussion of functions, additional coverage of higher-order differential equations, and the use of the graphing calculator throughout.

- NEW - NEW! The graphing calculator is now used throughout the text in examples and exercises to help develop and reinforce the coverage of many important topics.

- NEW - NEW! Special Caution and Note indicators are used in the margins when appropriate to identify areas where students commonly make errors and to add emphasis to material that is of particular importance in developing a solid understanding of the topic at hand.

- NEW - NEW! Writing exercises are now included throughout the text to help students learn to express themselves mathematically. There is one specific writing exercise included at the end of each chapter, as well as over 110 additional exercises throughout the book (at least 5 in each chapter) that require at least a sentence or two of explanation along with the answer.

- NEW - NEW! All new chapter openers introduce the topic to be discussed through an application that is illustrated with a drawing. A problem related to this application is solved in an example later in the chapter.

- NEW - NEW! New and updated applications bring students a wealth of realistic examples and problems with which to develop their understanding. There are now about 4,400 exercises (an increase of about 20%), including about 2,000 that are new to this edition. Technical applications are illustrated in about 1,000 of these exercises, including 650 that are new to this edition. The inclusion of business-related examples and exercises appeal to the increasing number of information technology students in this course.

- NEW - NEW!
**Page Layout**Special attention has been given to the page layout in this 4th edition. Nearly all examples are started and completed on the same page and all figures are shown immediately adjacent to the material in which they are discussed.

- NEW - NEW! There are 620 figures in the 4th edition. This is
**200**more than in the previous edition! In addition, a new design and trim size make this a more attractive and practical text for students who are visually motivated.

- NEW - NEW! The AW Math Tutor Center is staffed by qualified mathematics instructors who provide students with tutoring on text examples and odd-numbered problems. Tutoring is provided by toll-free telephone, fax, and e-mail. White Board technology allows tutors and students to actually see problems worked while they talk live during the tutoring sessions.

(Each Chapter ends with Chapter Equations, Review Exercises, and a Practice Test).**1. Functions and Graphs.**

Basic Definitions.The Straight Line.The Circle.The Parabola.The Ellipse.The Hyperbola.Translation of Axes.The Second Degree Equation.

Limits.The Slope of a Tangent to a Curve.The Derivative.The Derivative as an Instantaneous Rate of Change.Derivatives of Polynomials.Derivatives of Products and Quotients of Functions.The Derivative of a Power of a Function.Differentiation of Implicit Functions.Higher Derivatives.

Tangents and Normals.Newton's Method for Solving Equations.Curvilinear Motion.Related Rates.Using Derivatives in Curve Sketching.More on Curve Sketching.Applied Maximum and Minimum Problems.Differentials and Linear Approximations.

Antiderivatives.The Indefinite Integral.The Area Under a Curve.The Definite Integral.Numerical Integration; The Trapezoidal Rule.Simpson's Rule.

Applications of the Indefinite Integral.Areas by Integration.Volumes by Integration.Centroids.Moments of Inertia.Work by a Variable Force.Force Due to Liquid Pressure.Other Applications.

The Trigonometric Functions.Basic Trigonometric Relations.Derivatives of the Sine and Cosine Functions.Derivatives of Other Trigonometric Functions.The Inverse Trigonometric Functions.Derivatives of the Inverse Trigonometric Functions.Applications.

Exponential and Logarithmic Functions.Derivative of the Logarithmic Function.Derivative of the Exponential Function.Applications.

The General Power Formula.The Basic Logarithmic Form.The Exponential Form.Basic Trigonometric Forms.Other Trigonometric Forms.Inverse Trigonometric Forms.

Integration by Parts.Integration by Substitution.Integration by Trigonometric Substitution.Integration by Partial Fractions: Nonrepeated Linear Factors.Integration by Partial Fractions: Other Cases.Integration by Use of Tables.Improper Integrals.

Functions of Two Variables.Curves and Surfaces in Three Dimensions.Partial Derivatives.Certain Applications of Partial Derivatives.Double Integrals.Centroids and Moments of Inertia by Double Integration.

Polar Coordinates.Curves in Polar Coordinates.Applications of Differentiation and Integration in Polar Coordinates.Cylindrical Coordinates.

Infinite Series.Maclaurin Series.Certain Operations with Series.Computations by Use of Series Expansions.Taylor Series.Introduction to Fourier Series.More About Fourier Series.

Solutions of Differential Equations.Separation of Variables.Integrating Combinations.The Linear Differential Equation of the First Order.Elementary Applications.

Higher-Order Homogeneous Equations.Auxiliary Equation with Repeated or Complex Roots.Solutions of Nonhomogeneous Equations.Applications of Higher Order Equations.

Numerical Solutions.A Method of Successive Approximations.Laplace Transforms.Solving Differential Equations by Laplace Tansforms.

Rotations of Axes.Regression.

The Graphing Calculator.Graphing Calculator Programs.