Elementary Functions and Analytic Geometry
Published on 10. May 2014
402 pages
978-1-4832-7196-5 (ISBN)
Description
Elementary Functions and Analytic Geometry is an introduction to college mathematics, with emphasis on elementary functions and analytic geometry. It aims to provide a working knowledge of basic functions (polynomial, rational, exponential, logarithmic, and trigonometric); graphing techniques and the numerical aspects and applications of functions; two- and three-dimensional vector methods; and complex numbers, mathematical induction, and the binomial theorem. Comprised of 13 chapters, this book begins with a discussion on functions and graphs, paying particular attention to quantities measured in the real number system. The next chapter deals with linear and quadratic functions as well as some of their applications. Tips on graphing are offered. Subsequent chapters focus on polynomial functions, along with graphs of factored polynomials; rational functions; exponential and logarithm functions; and trigonometric functions. Identities and inverse functions, vectors, and trigonometry are also explored, together with complex numbers and solid analytic geometry. The book concludes by considering mathematical induction, binomial coefficients, and the binomial theorem. This monograph will be a useful resource for undergraduate students of mathematics and algebra.
More details
Other editions
Additional editions
Harley Flanders | Justin Jesse Price
Elementary Functions and Analytical Geometry
Book
01/1973
Academic Press
€23.46
Article exhausted; check different version
Content
¿PrefaceChapter 1 Functions and Graphs 1. Introduction 2. Real Numbers 3. Coordinates on the Line and Plane 4. Functions 5. Construction of Functions TestsChapter 2 Linear and Quadratic Functions 1. Linear Functions 2. Quadratic Functions 3. Some Applications 4. Tips on Graphing TestsChapter 3 Polynomial Functions 1. Algebra of Polynomials 2. Graphs of Polynomials 3. Zeros and Roots 4. Zeros of Higher Degree Polynomials 5. Graphs of Factored Polynomials TestsChapter 4 Rational Functions 1. Basic Properties 2. Algebraic Operations 3. Graphs of Rational Functions 4. Division with Remainder 5. Partial Fractions TestsChapter 5 Exponential and Logarithm Functions 1. Review of Exponents 2. Exponential Functions 3. Logarithm Functions 4. Accuracy and Tables [Optional] 5. Log Tables [Optional] 6. Computations with Logarithms [Optional] 7. Power Functions TestsChapter 6 Trigonometric Functions 1. Introduction 2. Distances and Angles 3. Sine and Cosine 4. Other Trigonometric Functions 5. Graphs of Sine and Cosine 6. Graphs of the Other Functions TestsChapter 7 Identities and Inverse Functions 1. Identities 2. Further Identities 3. Inverse Functions 4. Trigonometric Equations TestsChapter 8 Trigonometry 1. Right Triangles 2. Laws of Cosines and Sines 3. Oblique Triangles [Optional] TestsChapter 9 Vectors 1. Vector Algebra 2. Lines 3. Length and Inner Product 4. Normal Form TestsChapter 10 Analytic Geometry 1. Translation of Axes 2. The Circle 3. Tangents and Loci 4. Polar Coordinates 5. Conics: The Parabola 6. The Ellipse 7. The Hyperbola 8. Rotation of Axes [Optional] 9. Additional Exercises on Conics [Optional] TestsChapter 11 Solid Analytic Geometry 1. Coordinates and Vectors 2. Lines and Planes 5. Linear Systems and Intersections 4. Polynomials in Several Variables 5. Quadric Surfaces 6. Cylinders and Cones TestsChapter 12 Complex Numbers 1. Complex Arithmetic 2. The Complex Plane 3. Zeros of Polynomials 4. De Moivre's Theorem and Roots of Unity TestsChapter 13 Induction and the Binomial Theorem 1. Mathematical Induction 2. Binomial Coefficients 3. Binomial Theorem TestsAnswers to Odd-Numbered ExercisesTables 1. 4-Place Logarithm 2. 4-Place Antilogarithm 3. Powers and Roots 4. Trigonometric (Degrees) 5. Trigonometric (Radians) 6. Log-Trig (Degrees) 7. Trigonometric (p Radians)Index
