Synopses & Reviews
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Synopsis
This best-selling guide--which has sold more than 340,000 copies since its first publication--has been thoroughly updated throughout to correspons to current advanced calculus courses. A complete and comprehensive review of the subject, this updated edition features important new chapters on topology and Laplace transforms and essential new theorems, with explanatory proofs.
About the Author
McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwideMurray Speigel, Ph.D., was Former Professor and Chairman of the Mathematics Department at Rensselaer Polytechnic Institute, Hartford Graduate Center.
Table of Contents
Numbers
Basic Point-Set Topology
Functions, Limits, and Continuity
Special Functions (Log, Exp, Circular Trig, Hyperbolics)
Sequences
Derivative
Integrals
Partial Derivatives
Vectors
Applications
Differential Geometry(Curvature, Torsion,)
Multiple Integrals
Line/Surface Integrals
Change of Variable
Infinite Sequences
Infinite Series
Improper Integrals
Gamma and Beta Functions
Fourier Series
Fourier Integrals
Laplace Transforms
Function of Complex Variables