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Understanding calculus : a user's guide 2nd Ed., 2nd Edition

Langue : Anglais

Auteur :

Couverture de l’ouvrage Understanding calculus : a user's guide 2nd Ed.
The subject of calculus does not usually evoke adjectives like "simple" and "concise. Traditional calculus texts have involved a more comprehensive, theoretical approach than is appropriate for those learning this critically important subject for its utilitarian value. Presenting only the essentials of calculus, the revised edition adds 13 new chapters to the original Understanding Calculus book. The book is addressed primarily to calculus students and engineers who cannot follow the excessively formal approach to most standard calculus texts.
Authors Message to the Reader.

Annotated Table of Contents.

Acknowledgments.

Chapter 1: Lines.

Chapter 2: Parabolas, Ellipses, Hyperbolas.

Chapter 3: Differentiation.

Chapter 4: Differentiation Formulas.

Chapter 5: The Chain Rule.

Chapter 6: Trigonometric Functions.

Chapter 7: Exponential Functions and Logarithms.

Chapter 8: Inverse Functions.

Chapter 9: Derivatives and Graphs.

Chapter 10: Following the Tangent Line.,

Chapter 11: The Indefinite Integral.

Chapter 12: The Definite Integral.

Chapter 13: Work, Volume, and Force.

Chapter 14: Parametric Equations.

Chapter 15: Change of Variable.

Chapter 16: Integrating Rational Functions.

Chapter 17: Integrations by Parts.

Chapter 18: Trigonometric Integrals.

Chapter 19: Trigonometric Substitution.

Chapter 20: Numerical Integration.

Chapter 21: Limit At &infin,, Sequences.

Chapter 22: Improper Integrals.

Chapter 23: Series.

Chapter 24: Power Series.

Chapter 25: Taylor Polynomials.

Chapter 26: Taylor Series.

Chapter 27: Separable Differential Equations.

Chapter 28: First Order Linear Equations.

Chapter 29: Homogeneous Second Order Linear Equations.

Chapter 30: Nonhomogeneous Second Order Equations.

Chapter 31: Vectors.

Chapter 32: The Dot Product.

Chapter 33: Lines and Planes in Space.

Chapter 34: Surfaces.

Chapter 35: Partial Derivatives.

Chapter 36: Tangent Plane and Differential Approximation.

Chapter 37: Chain Rules.

Chapter 38: Gradient and Directional Derivatives.

Chapter 39: Maxima and Minima.

Chapter 40: Double Integrals.

Chapter 41: Line Integrals.

Chapter 42: Greens Theorem.

Chapter 43: Exact Differentials.

Answers.

Index.

About the Authors.

Date de parution :

Ouvrage de 320 p.

18x25.1 cm

Sous réserve de disponibilité chez l'éditeur.

Prix indicatif 127,16 €

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