1. Safety assurance Preservation Introduction Product and process overview Food-borne agents of disease Nonconventional hurdle strategies Ultrahigh pressure Pulsed electric fields Pulsed magnetic fields Pulsed light Power ultrasound Mathematical simulation Le Ch'telier''s principle Joule & Thomson''s coefficient Pressure and temperature effects Water activity Thermodynamic approach Surface adsorption Capillary condensation Osmotic pressure pH Buffer range Buffer stability Thermal resistance of enzymes and microorganisms Decimal reduction time Thermal resistance factor Rationale of thermal processing Blanching, pasteurization and sterilization Introduction Product and process overview Blanching PasteurizationSterilization mathematical simulation Thermal death time Direct heating of uniform temperature solid(s) Indirect heating of uniform temperature solid(s) Direct heating of uniform temperature liquid Chilling Introduction Product and process overview Mathematical simulation Chilling of fresh produce Freezing/storage/thawing Introduction Product and process overview Freezing Storage Thawing Mathematical simulation Freezing pattern Fast freezing and thawing Slow freezing and thawing Irradiation Introduction Product and process overview Mathematical simulation Radioactive decay Penetration depth 2. Complementary operations Handing, cleaning, disinfection, rinsing and effluent treatment Introduction Product and process overview Pre-process handling Hygienic design of equipment Cleaning, disinfection and rinsing of equipment Process handling Post-process handling Water supply and effluent treatment Mathematical simulation Cleaning Spraying Sprinkling Rinsing Soaking Disinfection Packaging Introduction Product and process overview Natural fibers Paper and board Synthetic polymers Flexible films Rigid and semirigid containers Metals Glass Modified atmosphere packaging Frozen food packaging Edibility/biodegradability of packaging materials Nanotechnology in packaging materials Active packaging Intelligent packaging Filling, sealing and labelling Filling Sealing Labelling Economic and environmental impact Mathematical simulation Transparent packaging Permeable packaging Active packaging Intelligent packaging 3. Industrial utilities Introduction Product and process overview Steam engine Refrigerator Gas compressor Electrical engines and circuitry Automatic control Mathematical simulation Fuel combustion Rankine''s power cycle Vapor compression/expansion refrigeration cycle Vapor absorption/stripping refrigeration cycle Chilled water production Liquid nitrogen production Solid carbon dioxide production Gas compression Electrical apparatuses Motors Transformers Cables Electrical resistance Thermal resistance Mechanical resistance Sensors, controllers and actuators 4. Bibliography and useful mathematical formulae Bibliographic references and further reading Algebra Averages Asymptotic behaviors Absolute value Definition Properties Impulse function Step function Exponential function Definition Neper''s number Properties Euler''s form of complex numbers Logarithmic function Definition Properties Hyperbolic functions Definition Relationships between hyperbolic functions Trigonometric functions Definition Fundamental theorem of trigonometry Relationships between trigonometric functions SeriesArithmetic series Geometric series Algebra of polynomials Products of binomials Newton''s binomial theorem Multinomial theorem Factorization of polynomial Ruffini''s rule Splitting of polynomial Matrices Definition Addition of matrices Multiplication of scalar by matrix Multiplication of matrices Transposal of matrix Inversion of matrix Determinants Definition Laplace''s theorem Properties Inversion of matrix Power of a matrix Eigenvalues and eigenvectors Characteristic polynomial Cayley & Hamilton''s theorem Routh & Hurwitz''s theorem Vectors Definition Addition of vectors Multiplication of scalar by vector Scalar multiplication of vectors Vector multiplication of vectors Tensors Definition Dyadic multiplication of vectors Double scalar multiplication of tensors Scalar multiplication of tensors Solution of systems of linear algebraic equations Cramer''s rule Explicitation Solution of algebraic quadratic equation Calculus Limits Definition Basic theorems Diferential Total derivative Definition Rules of differentiation Rolle''s theorem Lagrange''s theorem Cauchy''s theorem L''Hôpital''s rule Partial derivatives Definition Young''s and Schwartz''s theorems Euler''s theorem Implicit differentiation Taylor''s series expansion Univariate function Bivariate function Vector calculus Definition of nabla Properties Multiple products Conversion to curved systems of coordinates Indefinite integral Definition Properties Rules of integration Definite single integral Definition Properties Rules of integration Leibnitz''s formula Definite multiple integral Line integral Double integral Fubini''s theorem Leibnitz''s theorem Green''s theorem Gauss''s theorem Fourier''s series expansion Analytical geometry Straight line Conical lines Length and curvature of plain curve Area of plane surface Outer area of revolution solid Volume of revolution solid Optimization of functions Univariate and unconstrained Bivariate and unconstrained Univariate and constrained Euler & Lagrange''s equation Unconstrained kernel Constrained kernel Pontryagin''s principle Fourier''s transform Laplace''s transform Definition Properties Inversion Lambert''s W function Gamma function Incomplete gamma function Bessel''s functions Exponential-integral function Solution of ordinary differential equations First order with separable variables Homogeneous first order Linear first order Bernoulli''s equation Incomplete, linear second order Bessel''s equation Legendre''s equation Chebyshev''s equation Incomplete, nonlinear second order Complete, linear second order Constant-coefficient, linear higher order Euler''s equation Statistics Discrete probability distributions Absolute and centered moments Moment-generating function Normal distribution Probability density function of population Probability density function of samples Central limit theorem Properties Probability cumulative function of population Linear regression Parameter estimation Parameter inference.