Calculus with Analytic Geometry, 5th Edition
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More About This Title Calculus with Analytic Geometry, 5th Edition
English
Continues the outstanding tradition of earlier volumes with attention to detail, well-written explanations and a lively, accessible approach to learning. The size of this edition has been substantially reduced by rewriting major portions of the material for more efficient exposition and effective use of space. New material has been added on parametric representations of surfaces, Jacobians and Kepler's laws. Also includes new reference matter on complex numbers as well as biographies and historical notes which capture the personalities of the great mathematicians.
English
Coordinates, Graphs, Lines.
Functions and Limits.
Differentiation.
Applications of Differentiation.
Integration.
Applications of the Definite Integral.
Logarithmic and Exponential Functions.
Inverse Trigonometric and Hyperbolic Functions.
Techniques of Integration.
Improper Integrals; L'Hôpital's Rule.
Infinite Series.
Topics in Analytic Geometry.
Polar Coordinates and Parametric Equations.
Three-Dimensional Space; Vectors.
Vector-Valued Functions.
Partial Derivatives.
Multiple Integrals.
Topics in Vector Calculus.
Second-Order Differential Equations.
Appendices.
Index.
