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Klappentext Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of "Hints and Answers." 1977 edition. Inhaltsverzeichnis To the Instructor; To the StudentChapter 1. Mathematical Background1.1 Introductory Remarks1.2 Sets1.3 Numbers1.4 Inequalities1.5 The Absolute Value1.6 Intervals and Neighborhoods1.7 Rectangular Coordinates1.8 Straight Lines1.9 More about Straight LinesChapter 2. Differential Calculus2.1 Functions2.2 More about Functions2.3 Graphs2.4 Derivatives and Limits2.5 More about Derivatives2.6 More about Limits2.7 Differentiation Technique2.8 Further Differentiation Technique2.9 Other Kinds of LimitsChapter 3. Differentiation as a Tool3.1 Velocity and Acceleration3.2 Related Rates and Business Applications3.3 Properties of Continuous Functions3.4 Properties of Differentiable Functions3.5 Applications of the Mean Value Theorem3.6 Local Extrema3.7 Concavity and Inflection Points3.8 Optimization ProblemsChapter 4. Integral Calculus4.1 The Definite Integral4.2 Properties of Definite Integrals4.3 The Logarithm4.4 The Exponential4.5 More about the Logarithm and Exponential4.6 Integration Technique4.7 Improper IntegralsChapter 5. Integration as a Tool5.1 Elementary Differential Equations5.2 Problems of Growth and Decay5.3 Problems of MotionChapter 6. Functions of Several Variables6.1 From Two to n Dimensions6.2 Limits and Differentiation6.3 The Chain Rule6.4 Extrema in n DimensionsTables; Selected Hints and Answers; Supplementary Hints and Answers; Index
