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Technical Calculus with Analytic Geometry Hardcover-Kuhf
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Item specifics
- Condition
- Book Title
- Technical Calculus with Analytic Geometry Hardcover Peter Kuhfitt
- Level
- Technical
- ISBN
- 9781133945192
About this product
Product Identifiers
Publisher
Brooks/Cole
ISBN-10
1133945198
ISBN-13
9781133945192
eBay Product ID (ePID)
117237431
Product Key Features
Number of Pages
544 Pages
Language
English
Publication Name
Technical Calculus with Analytic Geometry
Subject
Geometry / Analytic, General, Calculus
Publication Year
2012
Features
Revised
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
1.1 in
Item Weight
37.7 Oz
Item Length
9.2 in
Item Width
8 in
Additional Product Features
Edition Number
5
Intended Audience
College Audience
Table Of Content
1. INTRODUCTION TO ANALYTIC GEOMETRY. The Cartesian Coordinate System. The Slope. The Straight Line. Curve Sketching. Discussion of Curves with Graphing Utilities. The Conics. The Circle. The Parabola. The Ellipse. The Hyperbola. Translation of Axes; Standard Equations of the Conics. Review Exercises. 2. INTRODUCTION TO CALCULUS: THE DERIVATIVE. Functions and Intervals. Limits. The Derivative. The Derivative by the Four-Step Process. Derivatives of Polynomials. Instantaneous Rates of Change. Differentiation Formulas. Implicit Differentiation. Higher Derivatives. Review Exercises. 3. APPLICATIONS OF THE DERIVATIVE. The First-Derivative Test. The Second-Derivative Test. Exploring with Graphing Utilities. Applications of Minima and Maxima. Related rates. Differentials. Review Exercises. 4. THE INTEGRAL. Antiderivatives. The Area Problem. The Fundamental Theorem of Calculus. The Integral: Notation and General Definition. Basic Integration Formulas. Area Between Curves. Improper Integrals. The Constant of Integration. Numerical Integration. Review Exercises. 5. APPLICATION OF THE INTEGRAL. Means of Root Mean Squares. Volumes of Revolution: Disk and Washer Methods. Volumes of Revolution: Shell Method. Centroids. Moments of Inertia. Work and Fluid Pressure. Review Exercises. 6. DERIVATIVES OF TRANSCENDENTAL FUNCTIONS. Review of Trigonometry. Derivatives of Sine and Cosine Functions. Other Trigonometric Functions. Inverse Trigonometric Functions. Derivatives of Inverse Trigonometric Functions. Exponential and Logarithmic Functions. Derivative of the Logarithmic Function. Derivative of the Exponential Function. L'Hospital's rule. Applications. Newton's Method. Review Exercises. 7. INTEGRATION TECHNIQUES. The Power Formula Again. The Logarithmic and Exponentials Forms. Trigonometric Forms. Further Trigonometric Forms. Inverse Trigonometric Forms. Integration by Trigonometric Substitution. Integration by Parts. Integration of Rational Functions. Integration by Use of Tables. Additional Remarks. Review Exercises. 8. PARAMETIC EQUATIONS, VECTORS, AND POLAR COORDINATES. Vectors and Parametric Equations. Arc Length. Polar Coordinates. Curves in Polar Coordinates. Areas in Polar Coordinates. Review Exercises. 9. THREE-DIMENSIONAL SPACE; PARTIAL DERIVATIVES; MULTIPLE INTEGRALS. Surfaces in Three Dimensions. Partial Derivatives. Applications of Partial Derivatives. Curve Fitting. Integrated Integrals. Volumes by Double Integration. Mass, Centroids, and Moments of Inertia. Volumes in Cylindrical Coordinates. Review Exercises. 10. INFINITE SERIES. Introduction to Infinite Series. Tests for Convergence. Maclaurin Series. Operations with Series. Computations with Series; Applications. Fourier Series. Review Exercises. 11. FIRST-ORDER DIFFERETIAL EQUATIONS. What is Differential Equation? Separation of Variables. First-Order Linear Differential Equations. Applications of First-Order Differential Equations. Numerical Solutions. Review Exercises. 12. HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS. Higher-Order Homogeneous Differential Equations. Auxiliary Equations with Repeating or Complex Roots. Nonhomogeneous Equations. Applications of Second-Order Equations. Review Exercises. 13. THE LAPLACE TRANSFORM. Introduction and Basic Properties. Inverse Laplace Transforms. Partial Fractions. Solutions of Linear Equations by Laplace Transforms. Review Exercises. Appendix A: Tables. Common Units of Measure. A Short Table of Integrals. Appendix B: Answers to Selected Exercises. Index.
Edition Description
Revised edition
Synopsis
Written for today's technology student, TECHNICAL CALCULUS WITH ANALYTIC GEOMETRY prepares you for your future courses! With an emphasis on applications, this mathematics text helps you learn calculus skills that are particular to technology. Clear presentation of concepts, detailed examples, marginal annotations, and step-by-step procedures enhance your understanding of difficult concepts. Notations that are frequently encountered in technology are used throughout to help you prepare for further courses in your career.
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- a***a (165)- Feedback left by buyer.Past monthVerified purchaseI am so, so happy with my purchase! Books were in very good condition, as described, and priced well to incentivize buying the whole lot. Seller also kindly accommodated a request I made. Thankfully, books arrived without damage from transit, but I do think it was risky shipping 7 paperbacks in a single envelope. They could have gotten bent, or the corners curled or scuffed in that packaging. I prefer it when sellers take a little extra time and care to package more carefully.
- d***b (1439)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat looking cover by Tim O'Brien. Fast shipping and EXCELLENT packaging. Magazine shipped in a bubble mailer with oversized cardboard added for support during shipping. Magazine arrived as described in New condition. Greatly appreciated. Very happy with the purchase. Trusted and professional seller. A+++. HIGHLY RECOMMEND. Outstanding communication. Terrific transaction. Thanks.Reply from: anasbookshelf2014- Feedback replied to by seller anasbookshelf2014.- Feedback replied to by seller anasbookshelf2014.Great buyer and thank you!Time Magazine May 20 2011 Special Report X Osama Bin Laden Brand New! Target! (#197116626747)
- e***4 (475)- Feedback left by buyer.Past monthVerified purchaseHappy with everything. Well packaged, literally shipped next day very happy with that. Seller responded to questions quickly, and very reasonably priced items. Will definitely continue doing business with this amazing business.
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