Precalculus
著者
書誌事項
Precalculus
Pearson/Addison Wesley, c2009
4th ed
大学図書館所蔵 全2件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes indexes
内容説明・目次
内容説明
Over the years, the text has been shaped and adapted to meet the changing needs of both students and educators. As always, special care was taken to respond to the specific suggestions of users and reviewers through enhanced discussions, new and updated examples and exercises, helpful features, and an extensive package of supplements and study aids. The result is an easy-to-use, comprehensive text that is the best edition yet.
目次
- R. Review of Basic Concepts. Sets.Real Numbers and Their Properties. Polynomials. Factoring Polynomials. Rational Expressions. Rational Exponents. Radical Expressions. 1. Equations and Inequalities. Linear Equations. Applications and Modeling with Linear Equations. Complex Numbers. Quadratic Equations. Applications and Modeling with Quadratic Equations. Other Types of Equations and Applications. Inequalities. Absolute Value Equations and Inequalities. 2. Graphs and Functions. Rectangular Coordinates and Graphs.Circles. Functions. Linear Functions. Equations of Lines
- Curve Fitting. Graphs of Basic Functions. Graphing Techniques. Function Operations and Composition. 3. Polynomial and Rational Functions. Quadratic Functions and Models. Synthetic Division. Zeros of Polynomial Functions. Polynomial Functions: Graphs, Applications, and Models. Rational Functions: Graphs, Applications, and Models. Variation. 4. Inverse, Exponential, and Logarithmic Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Evaluating Logarithms and the Change-of-Base Theorem. Exponential and Logarithmic Equations. Applications and Models of Exponential Growth and Decay. 5. Trigonometric Functions. Angles. Trigonometric Functions. Evaluating Trigonometric Functions. Solving Right Triangles. 6. The Circular Functions and Their Graphs. Radian Measure. The Unit Circle and Circular Functions. Graphs of the Sine and Cosine Functions.Translations of the Graphs of the Sine and Cosine Functions. Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions. Harmonic Motion. 7. Trigonometric Identities and Equations. Fundamental Identities. Verifying Trigonometric Identities. Sum and Difference Identities. Double-Angle and Half-Angle Identities. Inverse Circular Functions. Trigonometric Equations. Equations Involving Inverse Trigonometric Functions. 8. Applications of Trigonometry. The Law of Sines. The Law of Cosines. Vectors, Operations, and the Dot Product. Applications of Vectors. Trigonometric (Polar) Form of Complex Numbers
- Products and Quotients. DeMoivre's Theorem
- Powers and Roots of Complex Numbers. Polar Equations and Graphs. Parametric Equations, Graphs, and Applications. 9. Systems and Matrices. Systems of Linear Equations. Matrix Solution of Linear Systems. Determinant Solution of Linear Systems. Partial Fractions. Nonlinear Systems of Equations. Systems of Inequalities and Linear Programming. Properties of Matrices. Matrix Inverses. 10. Analytic Geometry. Parabolas. Ellipses. Hyperbolas. Summary of the Conic Sections. 11. Further Topics in Algebra. Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. The Binomial Theorem. Mathematical Induction. Counting Theory. Basics of Probability. Appendix A. Polar Form of Conic Sections. Appendix B. Rotation of Axes. Appendix C: Geometry Formulas. Glossary. Solutions to Selected Exercises. Answers to Selected Exercises. Index of Applications. Index.
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