Designed for the freshman/sophomore Calculus I-II-III sequence, the eighth edition continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. The new edition retains the strengths of earlier editions such as Antons trademark clarity of exposition, sound mathematics, excellent exercises and examples, and appropriate level. Anton also incorporates new ideas that have withstood the objective scrutiny of many skilled and thoughtful instructors and their students.
Aus dem Inhalt:
Chapter One. Functions. Chapter Two. Limits and Continuity. Chapter Three. The Derivative. Chapter Four. Exponential, Logarithmic, and Inverse Trigonometric Functions. Chapter Five. The Derivative in Graphing and Applications. Chapter Six. Integration. Chapter Seven. Applications of the Definite Integral in Geometry, Science and Engineering. Chapter Eight. Principles of Integral Evaluation. Chapter Nine. Mathematical Modeling with Differential Equations. Chapter Ten. Infinite Series. Chapter Eleven. Analytic Geometry in Calculus. Chapter Twelve. Three Dimensional Space; Vectors. Chapter Thirteen. Vector-Valued Functions. Chapter Fourteen. Partial Derivatives. Chapter Fifteen. Multiple Integrals. Chapter Sixteen. Topics in Vector Calculus . Appendix A: Trigonometry Review. Appendix B: Solving Polynomial Equations. Appendix C: Selected Proofs. Answers. Photo Credits. Index. Web Appendix D: Real Numbers, Intervals, and Inequalities. Web Appendix E; Absolute Value. Web Appendix F: Coordinate Planes and Lines and Linear Functions. Web Appendix G: Distance Circles, and Quadratic Functions. Web Appendix H: The Discriminant.
Aus dem Inhalt:
Chapter One. Functions. Chapter Two. Limits and Continuity. Chapter Three. The Derivative. Chapter Four. Exponential, Logarithmic, and Inverse Trigonometric Functions. Chapter Five. The Derivative in Graphing and Applications. Chapter Six. Integration. Chapter Seven. Applications of the Definite Integral in Geometry, Science and Engineering. Chapter Eight. Principles of Integral Evaluation. Chapter Nine. Mathematical Modeling with Differential Equations. Chapter Ten. Infinite Series. Chapter Eleven. Analytic Geometry in Calculus. Chapter Twelve. Three Dimensional Space; Vectors. Chapter Thirteen. Vector-Valued Functions. Chapter Fourteen. Partial Derivatives. Chapter Fifteen. Multiple Integrals. Chapter Sixteen. Topics in Vector Calculus . Appendix A: Trigonometry Review. Appendix B: Solving Polynomial Equations. Appendix C: Selected Proofs. Answers. Photo Credits. Index. Web Appendix D: Real Numbers, Intervals, and Inequalities. Web Appendix E; Absolute Value. Web Appendix F: Coordinate Planes and Lines and Linear Functions. Web Appendix G: Distance Circles, and Quadratic Functions. Web Appendix H: The Discriminant.