Elementary Mathematical Analysis

[QA300.Y6]

Contents

• A Review Of The Textbook.
• Preface.

Part I. Introductory Conceptions

• Chapter 1. Functions And Their Representation.
• Chapter 2. Algebraic Principles And Their Connection With Geometry.

Part II. Elementary Functions

• Chapter 3. The Linear Function. The Straight Line.
• Chapter 4. The Quadratic Function.
• Chapter 5. The Cubic Function. The Function xⁿ.
• Chapter 6. The Trigonometric Functions.
• Chapter 7. Trigonometric Relations.
• Chapter 8. The Logarithmic And Exponential Functions.
• Chapter 9. Numerical Computation.
• Chapter 10. The Implicit Quadratic Functions.

Part III. Applications To Geometry

• Chapter 11. The Straight Line.
• Chapter 12. The Circle.
• Chapter 13. The Conic Sections.
• Chapter 14. Polar Coordinates.
• Chapter 15. Parametric Equations.

Part IV. General Algebraic Methods -- The General Polynomial Function

• Chapter 16. Miscellaneous Algebraic Methods.
• Chapter 17. Permutations, Combinations, and Probability. The Binomial Theorem.
• Chapter 18. Complex Numbers.
• Chapter 19. The General Polynomial Function. The Theory Of Equations.
• Chapter 20. Determinants.

Part V. Functions Of Two Variables -- Solid Analytic Geometry

• Chapter 21. Linear Functions.
• Chapter 22. Quadratic Functions. Quadric Surfaces.

Appendices

• Tables to Four Decimal Places.
• Index.
• Slide-rule.