| Description |
1 online resource (1489 p.) |
| Series |
Enzyme Reaction Engineering Ser |
|
Enzyme Reaction Engineering Ser
|
| Contents |
Intro -- Table of Contents -- About the Author -- Series Preface -- Preface -- Volume 1 -- 1 Basic Concepts of Algebra -- 1 Scalars, Vectors, Matrices, and Determinants -- 2 Function Features -- 2.1 Series -- 2.2 Multiplication and Division of Polynomials -- 2.3 Trigonometric Functions -- 2.4 Hyperbolic Functions -- 3 Vector Operations -- 3.1 Addition of Vectors -- 3.2 Multiplication of Scalar by Vector -- 3.3 Scalar Multiplication of Vectors -- 3.4 Vector Multiplication of Vectors -- 4 Matrix Operations -- 4.1 Addition of Matrices -- 4.2 Multiplication of Scalar by Matrix |
|
4.3 Multiplication of Matrices -- 4.4 Transposal of Matrices -- 4.5 Inversion of Matrices -- 4.6 Combined Features -- 5 Tensor Operations -- 6 Determinants -- 6.1 Definition -- 6.2 Calculation -- 6.3 Eigenvalues and Eigenvectors -- 7 Solution of Algebraic Equations -- 7.1 Linear Systems of Equations -- 7.2 Quadratic Equation -- 7.3 Lambert's W Function -- 7.4 Numerical Approaches -- Further Reading -- Volume2 -- About the Author -- Series Preface -- Preface -- 2 Basic Concepts of Calculus -- 8 Limits, Derivatives, Integrals, and Differential Equations -- 9 Limits and Continuity |
|
9.1 Univariate Limit -- 9.2 Multivariate Limit -- 9.3 Basic Theorems on Limits -- 9.4 Definition of Continuity -- 9.5 Basic Theorems on Continuity -- 10 Differentials, Derivatives, and Partial Derivatives -- 10.1 Differential -- 10.2 Derivative -- 10.3 Dependence Between Functions -- 10.4 Optimization of Univariate Continuous Functions -- 10.5 Optimization of Multivariate Continuous Functions -- 11 Integrals -- 11.1 Univariate Integral -- 11.2 Multivariate Integral -- 11.3 Optimization of Single Integral -- 11.4 Optimization of Set of Derivatives -- 12 Infinite Series and Integrals |
|
12.1 Definition and Criteria of Convergence -- 12.2 Taylor's Series -- 12.3 Gamma Function and Factorial -- 13 Analytical Geometry -- 13.1 Straight Line -- 13.2 Simple Polygons -- 13.3 Conical Curves -- 13.4 Length of Line -- 13.5 Curvature of Line -- 13.6 Area of Plane Surface -- 13.7 Outer Area of Revolution Solid -- 13.8 Volume of Revolution Solid -- 14 Transforms -- 14.1 Laplace's Transform -- 14.2 Legendre's Transform -- 15 Solution of Differential Equations -- 15.1 Ordinary Differential Equations -- 15.2 Partial Differential Equations -- 16 Vector Calculus -- 16.1 Rectangular Coordinates |
|
16.2 Cylindrical Coordinates -- 16.3 Spherical Coordinates -- 16.4 Curvature of Three-dimensional Surfaces -- 16.5 Three-dimensional Integration -- 17 Numerical Approaches to Integration -- 17.1 Calculation of Definite Integrals -- 17.2 Integration of Differential Equations -- 3 Basic Concepts of Statistics -- 18 Continuous Probability Functions -- 18.1 Basic Statistical Descriptors -- 18.2 Normal Distribution -- 18.3 Other Relevant Distributions -- 19 Statistical Hypothesis Testing -- 20 Linear Regression -- 20.1 Parameter Fitting -- 20.2 Residual Characterization -- 20.3 Parameter Inference |
| Notes |
Description based upon print version of record |
|
20.4 Unbiased Estimation |
| Subject |
Enzyme kinetics -- Mathematics
|
| Form |
Electronic book
|
| ISBN |
9781119490333 |
|
1119490332 |
|
