F. Xavier Malcata - Mathematics for Enzyme Reaction Kinetics and Reactor Performance

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Mathematics for Enzyme Reaction Kinetics and Reactor Performance
Enzyme Reactor Engineering
The second volume begins with an introduction to basic concepts in calculus, i.e. limits, derivatives, integrals and differential equations; limits, along with continuity, are further expanded afterwards, covering uni- and multivariate cases, as well as classical theorems. After recovering the concept of differential and applying it to generate (regular and partial) derivatives, the most important rules of differentiation of functions, in explicit, implicit and parametric form, are retrieved – together with the nuclear theorems supporting simpler manipulation thereof. The book then tackles strategies to optimize uni- and multivariate functions, before addressing integrals in both indefinite and definite forms. Next, the book touches on the methods of solution of differential equations for practical applications, followed by analytical geometry and vector calculus. Brief coverage of statistics–including continuous probability functions, statistical descriptors and statistical hypothesis testing, brings the second volume to a close.

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5 Chapter 9Figure 9.1 Graphical representation of neighborhood, centered at a and with ...Figure 9.2 (a) Bounding, by inner triangle [0 BC ] and outer triangle [0 CD ], o...Figure 9.3 Graphical representation of function f { x }, (a) continuous within...Figure 9.4 Graphical representation of function f { x }, (a) continuous within...Figure 9.5 Graphical representation of function f { x }, continuous within int...

6 Chapter 10Figure 10.1 Graphical representation of continuous function, with ordinate f Figure 10.2 Graphical representation of continuous function, with ordinate картинка 3Figure 10.3 Graphical representation of function f { x }, continuous within in...Figure 10.4 Graphical representation of function f { x }, continuous within in...Figure 10.5 Graphical representation of (a) functions f { x } and g { x }, both c...

7 Chapter 11Figure 11.1 Graphical representation of functions g { x } and h { x } on the x 0 y p...Figure 11.2 Graphical representation of continuous function, f { x }, within i...Figure 11.3 Graphical representation of continuous function f { x } on the x 0 y Figure 11.4 Graphical representation of functions g 1{ x } and g 2{ x } (____) on ...

8 Chapter 12Figure 12.1 Graphical representation of function f { x } on the x 0 y plane, suc...Figure 12.2 Variation of sine function, f { x } (___), and Taylor’s polynomial...Figure 12.3 Variation of inverse Lambert’s W function, W −1{ y }, for po...Figure 12.4 Variation of gamma function, Γ (___), with its continuous ar...

9 Chapter 13Figure 13.1 Graphical representation of straight line containing points A an...Figure 13.2 Graphical representation of (a) a triangle, [ ABC ], and (b) a rec...Figure 13.3 Graphical representation of (a) a triangle, [ ABC ], and (b) a rec...Figure 13.4 Representation of circle and ellipse as contours of sectional su...Figure 13.5 Graphical representation of (a) a circumference of radius R , cen...Figure 13.6 Length, Δ s , of plane curve, yy { x }, corresponding to change Δ x Figure 13.7 Curvature of plane curve, yy { x }, with tangent thereto at absc...Figure 13.8 Graphical representation of functions g 1{ x } and g 2{ x } on the x 0 y Figure 13.9 Graphical representation, (a) sidewise and (b) frontwise, of pla...Figure 13.10 Graphical representation, (a) sidewise and (b) frontwise, of pl...

10 Chapter 14Figure 14.1 Representation of integration area ( картинка 4) of double integral on (a)...Figure 14.2 Graphical representation (a,b,c) of a generic convex function, f

11 Chapter 15Figure 15.1 Phase portraits, as картинка 5‐vs.‐ картинка 6, of selected sets of two nonlinear f...Figure 15.2 Phase portraits, as картинка 7‐vs.‐ картинка 8, of selected sets of two linear firs...Figure 15.3 Variation of Bessel’s functions of the first kind, of order zero...

12 Chapter 16Figure 16.1 Graphical representation of a general point P , via rectangular c...Figure 16.2 Graphical representation of a general point P , via cylindrical c...Figure 16.3 Graphical representation of a general point P , via spherical coo...Figure 16.4 Arc differential, ds , along a (normal) section ( PR ) of a space c...

13 Chapter 17Figure 17.1 Graphical description of antique method of quadrature, via squar...Figure 17.2 Graphical representation of rectangular quadrature ( картинка 9) of functi...Figure 17.3 Graphical representation of (a) trapezoidal rule and (b) Simpson...Figure 17.4 Solution of differential equation as yy { x }, within given rang...

14 Chapter 18Figure 18.1 Graphical representation of logarithm of x / y and x / y minus unity...Figure 18.2 Graphical representation of standard normal probability density ...Figure 18.3 Graphical representation of (a) standard normal probability cumu...Figure 18.4 Graphical representation of lognormal (a, b) probability density...Figure 18.5 Graphical representation of chi‐square (a) probability density f...Figure 18.6 Graphical representation of Student’s t (a) probability density ...Figure 18.7 Graphical representation of Fisher’s F (a, b) probability densit...

15 Chapter 19Figure 19.1 Graphical representation of probability density function of (a–c...

Guide

1 Cover

2 Table of Contents

3 Begin Reading

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