Problem book for first year calculus
著者
書誌事項
Problem book for first year calculus
（Problem books in mathematics / edited by K. Bencsáth and P.R. Halmos）
Springer-Verlag, c1984
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注記
Includes indexes
内容説明・目次
目次
I. Graphing.- Solved Problems.- Supplementary Problems.- II. Geometry.- Solved Problems.- Supplementary Problems.- III. Physics and Engineering.- Solved Problems.- Supplementary Problems.- >Chapter IV. Business and Economics.- Solved Problems.- Supplementary Problems.- V. Biology and Chemistry.- Solved Problems.- Supplementary Problems.- VI. Numerical Methods.- Solved Problems.- Supplementary Problems.- VII. Theory.- Solved Problems.- Supplementary Problems.- VIII. Techniques.- Solved Problems.- 1. Precalculus (absolute value, inequalities, analytic geometry, trigonometry, logarithms, functions, inverse functions).- 2. Differentiation (chain rule, implicit differentiation, differentiation of integrals).- 3. Applications of Differentiation (tangent lines, normal lines, maxima and minima).- 4. Methods of integration (indefinite integrals).- 5. Methods of integration (definite integrals).- 6. Improper integrals.- 7. Applications of definite integrals (area, volumes, arc length, area of a surface of revolution).- 8. Parametric curves.- 9. Polar coordinates.- 10. Sequences and infinite series, Taylor's formula, Taylor series.- 11. Indeterminate forms.- 12. Differential equations.- Supplementary Problems.- 1. Precalculus.- 2. Differentiation.- 3. Applications of differentiation.- 4. Indefinite integrals.- 5. Definite integrals.- 6. Improper integrals.- 7. Applications of definite integrals.- 8. Parametric curves.- 9. Polar coordinates.- 10. Sequences and infinite series, Taylor's formula, Taylor series.- 11. Indeterminate forms.- 12. Differential equations.- 13. Miscellaneous.- >Chapter IX. Answers to Supplementary Problems.- I. Graphing.- II. Geometry.- III. Physics and Engineering.- IV. Business and Economics345 V. Biology and Chemistry.- VI. Numerical Methods.- VII. Theory.- VIII. Techniques.- Problem Sources.- Index of Symbols.
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