Record:   Prev Next
Author Ashlock, Daniel, author
Title Fast start advanced calculus / Daniel Ashlock
Imprint [San Rafael, California] : Morgan & Claypool, [2019]
book jacket
Descript 1 online resource (xiii, 179 pages) : illustrations (some color)
text rdacontent
electronic isbdmedia
online resource rdacarrier
Series Synthesis lectures on mathematics and statistics, 1938-1751 ; #30
Synthesis lectures on mathematics and statistics ; #30
Synthesis digital library of engineering and computer science
Note Part of: Synthesis digital library of engineering and computer science
Includes index
1. Advanced derivatives -- 1.1. Partial derivatives -- 1.2. The gradient and directional derivatives -- 1.3. Tangent planes
2. Multivariate and constrained optimization -- 2.1. Optimization with partial derivatives -- 2.2. The extreme value theorem redux -- 2.3. Lagrange multipliers
3. Advanced integration -- 3.1. Volumes of rotation -- 3.2. Arc length and surface area -- 3.3. Multiple integrals
4. Sequences, series, and function approximation -- 4.1. Sequences and the geometric series -- 4.2. Series convergence tests -- 4.3. Power series -- 4.4. Taylor series
a. Useful formulas -- A.1. Powers, logs, and exponentials -- A.2. Trigonometric identities -- A.3. Speed of function growth -- A.4. Derivative rules -- A.5. Sums and factorization rules -- A.6. Vector arithmetic -- A.7. Polar and rectangular conversion -- A.8. Integral rules -- A.9. Series convergence tests -- A.10. Taylor series
Abstract freely available; full-text restricted to subscribers or individual document purchasers
Google scholar
Google book search
Mode of access: World Wide Web
System requirements: Adobe Acrobat Reader
This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation
Also available in print
Title from PDF title page (viewed on September 27, 2019)
Link Print version: 9781681736587 9781681736563
Subject Calculus -- Textbooks
partial derivatives
multivariate optimization
constrained optimization
surface integrals
multiple integrams
power series
Record:   Prev Next