Descript 
1 online resource (xiii, 179 pages) : illustrations (some color) 

text rdacontent 

electronic isbdmedia 

online resource rdacarrier 
Series 
Synthesis lectures on mathematics and statistics, 19381751 ; #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; fulltext restricted to subscribers or individual document purchasers 

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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


volume


arclength


surface integrals


multiple integrams


series


power series

