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Author Daniel Ashlock , Steven G. Krantz
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 Lag....
Release Date 2019/09 -
Author Daniel Ashlock , Steven G. Krantz
This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums.It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including New....
Release Date 2019/09 -
Fast Start Differential Calculus
Author Daniel Ashlock , Steven G. Krantz
This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions.It introduces the derivative using the limit-based definition and covers the standard function library and the product, quo....
Release Date 2019/09 -
Inverse Obstacle Scattering with Non-Over-Determined Scattering Data
Author Alexander G. Ramm , Steven G. Krantz
The inverse obstacle scattering problem consists of finding the unknown surface of a body (obstacle) from the scattering ??(??;??;??), where ??(??;??;??) is the scattering amplitude, $??;?? ?? ??² is the direction of the scattered, incident wave, respectively, ??² is the ....
Release Date 2019/06 -
Analytical Techniques for Solving Nonlinear Partial Differential Equations
Author Daniel J. Arrigo , Steven G. Krantz
This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs).After the introduction of several PDEs drawn from science and engineering, the reader is introduced to techniques used to obtain exact solutions of NPDEs. The chapters include....
Release Date 2019/06 -
PDE Models for Atherosclerosis Computer Implementation in R
Author William E. Schiesser , Steven G. Krantz
Atherosclerosis is a pathological condition of the arteries in which plaque buildup and stiffening (hardening) can lead to stroke, myocardial infarction (heart attacks), and even death. Cholesterol in the blood is a key marker for atherosclerosis, with two forms: (1) LDL ....
Release Date 2018/11