A VIEW OF MATHEMATICS
MATHEMATICS THROUGH MILLENIA
The Greek heritage in mathematics
The golden period of the Hindus and the Arabs in mathematics
European mathematics in the Renaissance
Mathematics and the scientific revolution
The tools of calculus are developed and consolidated
Abstract mathematical structures emerges
MATHEMATICS ALIVE AND IN ACTION
Fundamental mathematical research
Mathematics in the physical sciences
Mathematics in the life sciences
MATRICES, VECTORS, DETERMINANT AND LINEAR ALGEBRA
Matrices, Vectors and their Basic Operations
RINGS AND MODULES
FIELDS AND ALGEBRAIC EQUATIONS
NUMBER THEORY AND APPLICATIONS
The Additive Structure of Natural Numbers
The Multiplicative Structure of Natural Numbers
Analytic Methods in Number Theory
Arithmetic of Quadratic Fields
Comments on Kronecker’s Dream in his Youth and Class Field Theory
ALGEBRAIC GEOMETRY AND APPLICATIONS
Projective Algebraic Varieties
Sheaves and General Algebraic Varieties
Properties of Algebraic Varieties
GEOMETRY
BASIC NOTIONS OF GEOMETRY AND EUCLIDEAN GEOMETRY
AFFINE GEOMETRY, PROJECTIVE GEOMETRY, AND NON-EUCLIDEAN GEOMETRY
DIFFERENTIAL GEOMETRY
Curves in Euclidean Plane and Euclidean Space
Tensor Fields and Differential Forms
TOPOLOGY
Convergence of sequences, continuity of maps, general topology
Connectedness and homotopy theory
COMPLEX ANALYTIC GEOMETRY
Analytic Functions of One Complex Variable
Analytic Functions of Several Complex Variables
Germs of Holomorphic Functions
Complex manifolds and analytic varieties
Vector Fields and Differential Forms
Chern Classes of Complex Vector Bundles
Complete Intersections and Local Complete Intersections
de Rham and Dolbeault Theorems
MATHEMATICAL ANALYSIS
DIFFERENTIAL AND INTEGRAL CALCULUS
COMPLEX ANALYSIS
FUNCTIONAL ANALYSIS AND FUNCTION SPACES
Function Spaces and Some Examples
Basic Concepts in Functional Analysis
NUMERICAL ANALYSIS AND COMPUTATION
Stable Algorithms and Stable Problems
Application to Numerical Solution of Linear Systems
INFINITE ANALYSIS
Ising Model and Monodromy Preserving Deformation
Soliton Equations and Vertex Operators
Conformal Coinvariants and Vertex Operators
FOURIER ANALYSIS AND INTEGRAL TRANSFORMS
OPERATOR THEORY AND OPERATOR ALGEBRA
FORMAL LOGIC
The Birth of First Order Logic
Gödel’s First Incompleteness Theorem
MODEL THEORY
PROOF THEORY AND CONSTRUCTIVE MATHEMATICS
Semantics of Intuitionistic Logic
Intuitionistic (Heyting) Arithmetic, HA
COMPUTABILITY AND COMPLEXITY
Recursive and Recursively Enumerable Sets
LOGIC AND COMPUTER SCIENCE
Complexity Classes and the P=NP problem
Propositional Logic and Complexity Classes
MODAL LOGIC AND ITS APPLICATIONS
Soundness and Completeness for K
DIFFERENTIAL EQUATIONS OF MATHEMATICALS PHYSICS
A BASIC EXAMPLE OF NONLINEAR EQUATIONS: THE NAVIER-STOKES EQUATIONS
Scaling, hierarchies and formal derivations
Stabilities and instabilities of macroscopic solutions
CALCULUS OF VARIATIONS, PARTIAL DIFFERENTIAL EQUATIONS, AND GEOMETRY
DIFFERENTIAL EQUATIONS AND SYMPLECTIC GEOMETRY
Hamiltonian Systems and Symplectic Geometry
FROM THE ATOMIC HYPOTHESIS TO MICROLOCAL ANALYSIS
GRAPH THEORY
PROBABILITY AND STATISTICS
Sequences of Stochastic Quantities
From Stochastic Models to Statistical Inference
Classical Statistical Inference
Bayesian Statistical Inference
PROBABILITY THEORY
Introduction: Chance Mechanisms
The First Steps Towards a Theory of Probability
The Axiomatization of Probability Theory
MATHEMATICAL FOUNDATIONS AND INTERPRETATIONS OF PROBABILITY
RANDOM VARIABLES AND THEIR DISTRIBUTIONS
The distribution function of a random variable.
Classification of random variables.
Some special discrete probability distributions.
Some special continuous probability distributions.
Location characteristics of a real-valued random variable.
Dispersion characteristics of a real-valued random variable.
Independence of Random Variables
Random Variables in Statistics
The moments and the characteristic function of a random variable.
LIMIT THEOREMS OF PROBABILITY THEORY
Introduction and Preliminaries
STOCHASTIC PROCESSES AND RANDOM FIELDS
CONSTRUCTION OF RANDOM FUNCTIONS AND PATH PROPERTIES
STOCHASTIC CALCULUS
STOCHASTIC DIFFERENTIAL EQUATIONS
A Property of the Solution of a Stochastic Differential Equation
STATIONARY PROCESSES
ERGODIC PROPERTIES OF STATIONARY, MARKOV, AND REGENERATIVE PROCESSES
Ergodic Theory for Stationary Processes
HOMOGENEOUS RANDOM FIELDS AND THEIR EVALUATION
Homogenous random fields and their spectral representation
Approximation and positive definiteness of correlation functions.
Perturbation theory for improvement of positive definiteness
PROBABILISTIC MODELS AND METHODS
Processes with Independent Increments
STATISTICAL SIMULATION AND NUMERICAL PROCEDURES
Non Uniform Random Variate Generation
MATHEMATICAL MODELS IN FINANCE
A Tutorial on Mathematical Finance without Formula
RELIABILITY AND MAINTAINABILITY
INVENTORIES, WATER STORAGE AND QUEUES
INFORMATION THEORY AND COMMUNICATION
FOUNDATIONS OF STATISTICS
Probability and philosophical foundations
Statistical populations and samples
Sampling from the normal distribution
STATISTICAL INFERENCE
Parametric and Nonparametric Inference
Classical Statistical Inference
STATISTICAL PARAMETER ESTIMATION
STATISTICAL TESTING OF HYPOTHESES
Errors of the First and the Second Kind
The Power Function, the Power and the Significance Level of the Test
ROBUST STATISTICS
BAYESIAN STATISTICS
STATISTICAL INFERENCE WITH IMPRECISE DATA
Imprecise numbers and characterizing functions
Construction of characterizing functions
Multivariate data, imprecise vectors, and combination of imprecise samples
Generalized inference procedures for imprecise samples
APPLIED STATISTICS
CORRELATION ANALYSIS
Correlation Between Two Random Variables (Simple Correlation)
REGRESSION ANALYSIS
SAMPLE METHOD AND QUALITY CONTROL
Introduction: Quality Control and Statistical Quality Control
Inspection and Prevention in Quality Control
Decision Making and its Statistical Tools in Quality Control
Statistical Lot Inspection Schemes
TIME SERIES ANALYSIS
STATISTICAL EXPERIMENTS AND OPTIMAL DESIGN
How to measure the information obtained in an experiment modeled linearly
The design of experiments with uncorrelated observations and non-restricted replications
Optimal design in linear models under a given covariance structure
MATHEMATICAL MODELS OF LIFE SUPPORT SYSTEMS
Basic Principles of Mathematical Modeling
Mathematical Models in Water Sciences
Mathematical Models of Atmosphere and Climate
Mathematical Models in Energy Sciences
Mathematical Models in Food and Agricultural Sciences
Mathematical Models in Biological, Health, and Medical Sciences
Mathematical Models in Human Social Relations and Global Biosphere Processes
INTRODUCTION TO MATHEMATICAL MODELING
Physical and mathematical models
Fundamental and applied models
Using computers in mathematical modeling
Mathematical methods in experimental studies
Computational experiment in science and technology
Types of computational experiment: an example
Constructing mathematical models
MATHEMATICAL MODELING OF LIFE SUPPORT SYSTEMS: CLASSIFICATION OF MODELS
MATHEMATICAL MODELS IN WATER SCIENCES
Mathematical Models in Hydrodynamics
Mathematical Models of Flows in Rivers, Lakes, and Coastal Waters
Mathematical Models of Circulation in Oceans and Seas
MATHEMATICAL MODELS OF CIRCULATION IN OCEANS AND SEAS
Mathematical Modeling of Oceanic and Marine General Circulation
Solvability of Problems of the Ocean and Sea Dynamics
Alternative and Generalized Models of the General Circulation in Oceans and Seas
MATHEMATICAL MODELS FOR WATER RESOURCES MANAGEMENT
Mathematical modeling in water resources planning
Water resources management in the face of climatic/ hydrological uncertainties
MATHEMATICAL MODELS IN ENERGY SCIENCES AND CHEMICAL PHYSICS
MATHEMATICAL MODELS OF PLASMA PHYSICS
MATHEMATICAL MODELS IN ENVIRONMENTAL SCIENCES
MATHEMATICAL MODELS AND SIMULATION IN ENVIRONMENT
Mathematical model for regional transport and transformations of gaseous pollutants and aerosols
MATHEMATICAL MODELS FOR PREDICTION OF CLIMATE
MATHEMATICAL MODELING IN METEOROLOGY AND WEATHER FORECASTING
Equation system used in the hydrodynamic atmospheric models
Hydrodynamical Modeling of large-scale weather-producing mechanisms
Atmospheric models based on the primitive hydrodynamic equations
Application of hydrodynamical models to forecasting of local weather patterns
ENVIRONMENTAL POLLUTION AND DEGRADATION MODELS
Mathematical model for global transport of persistent organic pollutants in the Northern Hemisphere
MATHEMATICAL MODELS IN FOOD AND AGRICULTURAL SCIENCES
FOOD PRODUCTION AND AGRICULTURAL MODELS: BASIC PRINCIPLES OF DEVELOPMENT
Classification of Agricultural Models
Typical Theoretical Models in Agriculture
MATHEMATICAL MODELS OF SOIL IRRIGATION AND SALTING
Balance models of calculation of the irrigation regime and crops productivity.
Simulation of water and salts transport in unsaturated-saturated soils.
DETERMINISTIC MODELS OF PLANT ENVIRONMENT
Static models: empirical-statistical approach
Dynamical models: An approach oriented to process account
Deterministic models of energy and mass exchange for plant environment
MATHEMATICAL MODELS OF AGRICULTURAL SUPPLY
Models and decision making in agriculture
Mathematical models of optimization and allocation of sown areas
Mathematical models of fertilization optimization
Complex optimization of resource allocation in crop growing
Economic-mathematical models of optimization of structure of herds and flocks
Economic-mathematical models of optimization of rations of cattle feeding
Economic-mathematical models of optimization of combination of several branches in a farm
Economic efficiency of precision agriculture farm application
MATHEMATICAL MODELS IN BIOLOGICAL AND MEDICAL SCIENCES
MATHEMATICAL MODELS IN BIOPHYSICS
Specificity of mathematical modeling of living systems
Basic models in mathematical biophysics
Oscillations and rhythms in biological systems
Space-time self-organization of biological systems
POPULATION MODELS
Construction of Mathematical Population Models and the Main Tasks of Their Study
Deterministic Models of Population Genetics
Stochastic Models of Population Genetics
Mathematical Models of Biological Populations and Communities
PATTERN FORMATION AND NEURAL MODELS
MATHEMATICAL MODELS IN IMMUNOLOGY
Mathematical models of humoral immune response
Mathematical models of network interactions in the immune system
Mathematical models of lymphocyte circulation
MATHEMATICAL MODELING IN MEDICINE
Physiological systems and processes
MATHEMATICAL MODELS IN GLOBAL PROCESSES AND DEVELOPMENT
MATHEMATICAL MODELS AND CONTROL OF CATASTROPHIC PROCESSES
MODELS AND METHODS OF ACTUARIAL MATHEMATICS
Empirical principles of determination of insurance premiums.
MATHEMATICAL MODELING AND GLOBAL PROCESSES
Mathematical Modeling and the Control Theory in Examining Complex Processes
Numerical Modeling of the General Circulation of the Atmosphere and Oceans; Climate
Mathematical Modeling of Biospheric Processes
OPTIMIZATION AND OPERATIONS RESEARCH
Optimization and operations research: history and organizations
Optimization and operations research: impact and excellence
Operations research: scientific decision-making and the role of modeling
Optimization: the mathematical theory of models and algorithms
Optimization and computers: complexity and efficiency
Operations research and information systems: the implementation issue
Operations research and decision support systems: a case study
Selected WWW sites related to optimization and operations research
FUNDAMENTALS OF OPERATIONS RESEARCH
LINEAR PROGRAMMING
THE ROLE OF SOFTWARE IN OPTIMIZATION AND OPERATIONS RESEACH
COMBINATORIAL OPTIMIZATION AND INTEGER PROGRAMMING
GRAPH AND NETWORK OPTIMIZATION
ROUTING PROBLEMS
LARGE SCALE OPTIMIZATION
DUALITY THEORY
GLOBAL OPTIMIZATION AND META-HEURISTICS
APPROXIMATION ALGORITHMS
Combinatorial Optimization Problems
OPTIMIZATION IN INFINITE DIMENSIONS
Infinite-Dimensional Optimization Problems
THE PRINCIPLES OF THE CALCULUS OF VARIATIONS
THE MAXIMUM PRINCIPLE OF PONTRYAGIN
DYNAMIC PROGRAMMING AND BELLMAN'S PRINCIPLE
Value Function and Bellman’s Principle
OPTIMIZATION AND CONTROL OF DISTRIBUTED PROCESSES
Optimization Problems Governed by Distributed Processes
NONCONVEX VARIATIONAL PROBLEMS
FOUNDATIONS OF NON-COOPERATIVE GAMES
NTU-GAMES
THE EQUIVALENCE PRINCIPLE
Equivalencies in Atomless Economies
STOCHASTIC AND REPEATED GAMES
EVOLUTION AND LEARNING IN GAMES
Biological Contexts: A Static Approach
Biological Contexts: A Dynamic Approach
EXPERIMENTAL GAME THEORY
Experimental Results in Strategic Games
STOCHASTIC OPERATIONS RESEARCH
MARKOV DECISION PROCESSES
Problem Definition and Examples
Finite Horizon Decision Problems
Infinite Horizon Markov Decision Problems
STOCHASTIC GAMES
QUEUEING SYSTEMS
INVESTMENT MODELS
Mean-Variance Portfolio Selection
Portfolio Selection in Discrete Time
ADAPTIVE DYNAMIC PROGRAMMING
DECISION ANALYSIS
EXPECTED UTILITY THEORY AND ALTERNATIVE APPROACHES
RISK-DEFUSING BEHAVIOR
Decision Behavior: Are Lottery Tasks and Quasi-Realistic Tasks Comparable?
An Outline of the Decision Process in Quasi-Realistic Risky Decision Tasks
DECISION PROBLEMS AND DECISION MODELS
FRAMING EFFECTS IN THEORY AND IN PRACTICE
MEASUREMENT OF RISK
Fishburn’s Measures of Pure Risk
Fishburn’s Measures of Speculative Risk
FOUNDATIONS OF TARGET-BASED DECISION THEORY
Bentham and Utility-Based Decision Analysis
Target-Based Decision Analysis
Bounded Rationality and Target-Based Decision Analysis
Improved Modeling of Individual Choice
THE DEVELOPMENT OF MATHEMATICS IN A HISTORICAL PERSPECTIVE
MATHEMATICS IN EGYPT AND MESOPOTAMIA
The beginnings: invention of script, numbers, and metrological systems
Mathematical Texts: education and mathematical practices
Beyond the School: Mathematics in Daily Life, Literature and Art
Egyptian And Mesopotamian Mathematics in the Graeco-Roman Periods
MATHEMATICS IN JAPAN
The beginnings (seventh to sixteenth century)
Textbooks of Commercial arithmetic
The construction of a learned tradition
THE MATHEMATIZATION OF THE PHYSICAL SCIENCES - DIFFERENTIAL EQUATIONS OF NATURE
The middle ages and the renaissance
Early Methods of Solution- Linear Differential Equations
Newton’s Second Law as a Differential Equation- The Method of Perturbations
The Vibrating String- Partial Differential Equations
The Vibrating String-Trigonometric Series
Potential Theory- Laplace’s equation
The Parsimonious Universe- Calculus of Variations
Electrostatics- Poisson’s equation
Fourier on Heat Conduction and Fourier Series
Orthogonal Functions and Curvilinear Coordinates
Sturm-Liouville Theory- The Qualitative Theory
Continuum Mechanics- Elasticity
Hydrodynamics- The Navier-Stokes Equation
Electromagnetism- Maxwell’s Equations
Quantum Mechanics- The Schrodinger Equation
Distributions- Generalized Solutions of Differential Equations
A SHORT HISTORY OF DYNAMICAL SYSTEMS THEORY: 1885-2007
The qualitative theory of dynamical systems
Some recent extensions and applications of dynamical systems
MEASURE THEORIES AND ERGODICITY PROBLEMS
THE NUMBER CONCEPT AND NUMBER SYSTEMS
OPERATIONS RESEARCH AND MATHEMATICAL PROGRAMMING: FROM WAR TO ACADEMIA – A JOINT VENTURE
The beginning of OR in Britain: The use of radar in anti-aircraft warfare
OR’s move to the US military: The mobilisation of civilian scientists
ASWORG: Philip Morse’s OR group
The Applied Mathematics Panel: OR training courses during Word War II
Game theory: The significance of John von Neumann
The origin of linear programming: Logistic planning in the Army Air Force
Mathematical programming in academia: ONR project and game theory
Operations research in academia: Societies, journals, and conferences
Operations research and linear programming outside academia: some examples
The role of mathematical programming and game theory in OR: Disputes
ELEMENTARY MATHEMATICS FROM AN ADVANCED STANDPOINT
THE HISTORY AND CONCEPT OF MATHEMATICAL PROOF
The History of Mathematical Proof
The Golden Age of the Nineteenth Century
GEOMETRY IN THE 20TH CENTURY
The Incredible Successive Enlargements of the Notions of Space and Of Point
Studying Subspaces: Classification, Measuring Them, Optimality
Some Geometric Spaces Which Are Surprising Extremely Rich Crossroads
Groups and Geometry: A Journey There And Back
BOURBAKI, AN EPIPHENOMENON IN THE HISTORY OF MATHEMATICS
COMPUTATIONAL METHODS AND ALGORITHMS
BASIC METHODS FOR SOLVING EQUATIONS OF MATHEMATICAL PHYSICS
METHODS OF POTENTIAL THEORY
Fundamentals of the Potential Theory
Application of the Potential Theory to the Classical Problems of Mathematical Physics
EIGENVALUE PROBLEMS: METHODS OF EIGENFUNCTIONS
The method of eigenfunctions for some problems of the theory of electromagnetism
The method of eigenfunctions for the heat conductivity problem
The method of eigenfunctions for problems of the oscillation theory
METHODS OF INTEGRAL TRANSFORMS
The application of integral transforms to problems of the oscillation theory
The application of integral transforms to heat conductivity problems
The application of integral transforms in the theory of neutron slow-down and diffusion
The application of integral transforms to problems of hydrodynamics
The application of integral transforms in the elasticity theory
The application of integral transforms in the coagulation kinetics
Brief instructions for the application of integral transforms
DISCRETIZATION METHODS FOR PROBLEMS OF MATHEMATICAL PHYSICS
VARIATIONAL FORMULATION OF PROBLEMS AND VARIATIONAL METHODS
METHODS OF TRANSFORMATION GROUPS
Continuous Transformation Groups
Invariant Differential Equations
Korteweg de Vries Equation and Lax Pairs
Hirota Transformation and Penleve Property
NUMERICAL ANALYSIS AND METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS
The solution of systems of linear equations
The solution of nonlinear equations and systems
Interpolation and approximation of functions
SOLUTION OF SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS
NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS AND DYNAMIC SYSTEMS
NUMERICAL METHODS AND ALGORITHMS IN MATHEMATICAL PHYSICS
FINITE ELEMENT METHOD
Other one-dimensional boundary problems
Higher order elements in one dimension
Two or Three-dimensional Elliptic Problems
Two-dimensional Lagrange Elements
AN INTRODUCTION TO FINITE VOLUME METHODS
Advection equation and method of characteristics.
Finite volumes for linear hyperbolic systems.
NUMERICAL METHODS FOR INTEGRAL EQUATIONS
Degenerate Kernels. Projection and Collocation Methods
Iterative methods for linear and nonlinear integral equations
NUMERICAL ALGORITHMS FOR INVERSE AND ILL-POSED PROBLEMS
Numerical Algorithms for Solving Inverse and Ill-Posed Problems
COMPUTATIONAL METHODS AND ALGORITHMS IN CONTINUOUS MEDIUM PROBLEMS
SOLUTION OF ELECTROMAGNETISM THEORY PROBLEMS
Two-dimensional electrostatics problems
Three-dimensional electrostatics problems
Two-dimensional magnetostatics problems
Three-dimensional magnetostatics problems
COMPUTATIONAL METHODS IN ELASTICITY
Basic aspects of continuum mechanics
The three-dimensional linearized elasticity
COMPUTATIONAL METHODS FOR COMPRESSIBLE FLOW PROBLEMS
A Brief Description of the Solutions
Numerical Schemes for 1-D Problems
METHODS OF NONLINEAR KINETICS
Phenomenology and Quasi-chemical representation of the Boltzmann equation
Methods of reduced description
METHODS FOR MAGNETOSPHERE AND NEAR-SPACE PROBLEMS
MHD model of solar wind flow around the magnetosphere
Mathematical statement of the flow problem: Basic equations
NUMERICAL MODELS AND SIMULATION OF GLOBAL PROBLEMS
NUMERICAL SIMULATION OF CLIMATE PROBLEMS
Climate, Climatic Variability and Climate Changes
Atmosphere & Ocean Circulation Models
Numerical Modeling of Climatic Variability and Climate Changes
NUMERICAL SIMULATION OF BIOSPHERE DYNAMICS
Models of Global Dynamics by Club of Rome
The Problem of the Earth's Biosphere Stability
Global Models of Biosphere Dynamics
Problems of Biosphere Dynamics Prediction
Numerical Simulation and Experimental Models of the Biosphere
NUMERICAL METHODS FOR WEATHER FORECASTING PROBLEMS
Numerical data analysis and initialization.
Mathematical Models for Numerical Weather Prediction
Numerical Methods in Weather Forecast
MODERN BIOMETRY
DATA COLLECTION AND ANALYSIS IN BIOMETRICS
Clinical Trials and Case Control Studies
THE DESIGN OF EXPERIMENTS
RESPONSE ADAPTIVE RANDOMIZATION IN CLINICAL TRIALS
TIME SERIES MODELS
STATISTICAL METHODOLOGY IN BIOMETRY
Linear Regression, Generalized Linear Models, Exponential Family and Logistic Regression
LINEAR REGRESSION MODELS
Simple Linear Regression model
Diagnostics and Remedial Measures
Multiple Linear Regression Model
GENERALIZED LINEAR MODELING
A Corner Stone: the Exponential Family of Distributions
CATEGORICAL DATA ANALYSIS
Inference for a Single Proportion
Analysis of 2 × 2 Contingency Tables
Analysis of R x C Contingency Tables
SURVIVAL ANALYSIS
Basic concepts of survival analysis
The Kaplan-Meier Method and the Log-rank Test
The Cox proportional hazards model
Evaluating the proportional hazards assumption
Extension of the Cox Proportional Hazards Model for Time-dependent Variables
MULTIVARIATE AND MULTIDIMENSIONAL ANALYSIS
REPEATED MEASURES AND MULTILEVEL MODELING
Some Models for Continuous Data
COMPUTATION AND BIOMETRY
Computer Language and Systems Past, Present and Future
Changing Views of Statistical Computing
Statistical Computing in the Larger Context of Scientific Computing
STATISTICAL GRAPHICS
Graphs for models involving two or more variables
Graphs for models involving several covariates
Graphs for modelling data developing in time or space
COMPUTER-INTENSIVE STATISTICAL METHODS
Resampling and Monte Carlo methods
Numerical optimization and integration
STATISTICAL COMPUTING
Advances in Routines Used for Statistical Computation
Languages and Systems for Statistical Computing
Key Ideas for Statistical Systems
Desiderata for Statistical Systems
SPATIAL STATISTICAL MODELING IN BIOLOGY
Gaussian Random Process Models
BIOSTATISTICAL METHODS AND RESEARCH DESIGNS
Biostatistical Research Strategies
COMMUNICABLE DISEASES AND DATA ANALYSIS
The dependent happening relation
NUTRITIONAL EPIDEMIOLOGY
STATISTICAL METHODS IN LABORATORY AND BASIC SCIENCE RESEARCH
STATISTICAL METHODS FOR TOXICOLOGY
Applications of Biostatistics to Toxicology
SELECTED TOPICS IN BIOMETRY
STATISTICAL METHODOLOGY IN FORESTRY
Modeling Individual Tree Characteristics
STATISTICAL ECOLOGY AND ENVIRONMENTAL STATISTICS
Simple Stories but Challenging Concerns
Ecological Sampling and Statistical Inference
Biodiversity Measurement and Comparison
Environmental Data and Cost-Effective Acquisition
Landscape Ecology and Multi-Scale Assessment
Echelon Analysis for Multispectral Environmental Change Detection
Statistics as an Instrument to Deal with Environmental and Ecological Crisis
STATISTICAL GENETICS
BIOINFORMATICS: PAST, PRESENT AND FUTURE
Applications of hidden Markov models in bioinformatics
Evolutionary models and phylogenetic reconstruction
Statistical methods in proteomics
ENVIRONMETRICS
STATISTICAL ANALYSIS OF ECOLOGICAL DIVERSITY
Defining and Measuring Ecological diversity
DESCRIPTIVE MEASURES OF ECOLOGICAL DIVERSITY
SAMPLING DESIGNS FOR MONITORING ECOLOGICAL DIVERSITY
THE INVENTORY AND ESTIMATION OF PLANT SPECIES RICHNESS
GEOSTATISTICS: PAST, PRESENT AND FUTURE
SPATIAL DESIGN
STATISTICAL ANALYSIS OF SPATIAL COUNT DATA
SPATIAL DISEASE MAPPING
MULTIVARIATE DATA ANALYSIS
Parameter Estimation for a Multivariate Normal Population
Tests of Hypotheses for Mean Vectors and Covariance Matrices
THE ANALYSIS OF PUTATIVE SOURCES OF HEALTH HAZARD
ENVIRONMENTAL MONITORING
AREA PRECIPITATION MEASUREMENT
WATER-QUALITY MONITORING OF RIVERS
Design Considerations in Water-Quality Monitoring Networks
STOCHASTIC MODELING IN LIFE SUPPORT SYSTEMS
The Concept of Stochastic Modelling
SM Metaphors and Reality Levels
Spatiotemporal Random Field Models
Mathematical Forms of Natural Laws Considered in SM Applications
SM in Genetic Research, Carcinogenesis and Toxicokinetics applications
The Importance of Physical Geometry and Space/Time Scales
Knowledge Integration and the Epistemic Approach to Space/time
Decision Making, Geographical Information Systems, and Sampling Design
Population Indicator Functions
Risk Assessment and Environmental Exposure-Health Effect Associations
ECONOMIC ASPECTS OF MONITORING ENVIRONMENTAL FACTORS: A COST-BENEFIT APPROACH
Setting Environmental Standards
TREND ANALYSIS FOR ENVIRONMENTAL FACTORS: TIME EFFECTS ON NITROUS OXIDE (N2O) LEVELS AT MACE HEAD, IRELAND
The Global Atmospheric Gases Experiment
Nitrous Oxide Levels at Mace Head
RANK TESTS FOR INDEPENDENCE AND RANDOMNESS
MATHEMATICAL MODELS
Why Do We Resort to Mathematical Modeling of Life Support Systems?
What Kinds of Life Support Systems Can Be Described by Mathematical Models?
How Is Mathematical Modeling Done?
BASIC PRINCIPLES OF MATHEMATICAL MODELING
BASIC METHODS OF THE DEVELOPMENT AND ANALYSIS OF MATHEMATICAL MODELS
MEASUREMENTS IN MATHEMATICAL MODELING AND DATA PROCESSING
CONTROLLABILITY, OBSERVABILITY AND STABILITY OF MATHEMATICAL MODELS
IDENTIFICATION, ESTIMATION AND RESOLUTION OF MATHEMATICAL MODELS
MATHEMATICAL THEORY OF DATA PROCESSING IN MODELS (DATA ASSIMILATION PROBLEMS)
MATHEMATICAL MODELS IN WATER SCIENCES
MATHEMATICAL MODELS IN HYDRODYNAMICS
MATHEMATICAL MODELING OF FLOW IN WATERSHEDS AND RIVERS
Flow in Watersheds and Channels
Deterministic and Statistical Modeling
Deterministic Modeling of Flow in Watersheds
Deterministic Modeling of Flow in Channels
Statistical Modeling of Flow in Watersheds
MATHEMATICAL MODELS OF CIRCULATIONS IN OCEANS AND SEAS
Approximate Systems of Equations
WAVE MODELING AT THE SERVICE OF SECURITY IN MARINE ENVIRONMENT
Physical principles of free surface waves
Forcing functions for wave modeling
MATHEMATICAL MODELING OF THE TRANSPORT OF POLLUTION IN WATER
A Short Introduction to Turbulence Theory
Mathematical Modelling of the Transport of Pollution
MATHEMATICAL MODELS IN ENERGY SCIENCES
MATHEMATICAL MODELS IN ELECTRIC POWER SYSTEMS
Elements of an Electric Power System
MATHEMATICAL MODELS OF NUCLEAR ENERGY
MATHEMATICAL MODELS IN CHEMICAL PHYSICS AND COMBUSTION THEORY
Link between Energy and Kinetics of Reaction
Breaking of Chains in a Volume and at the Surface
Development of Chains with Time
MATHEMATICAL MODELING AND SIMULATION METHODS IN ENERGY SYSTEMS
MATHEMATICAL MODELS OF CLIMATE AND GLOBAL CHANGE
MATHEMATICAL MODELS OF CLIMATE
Models Based upon Energy Balance
Atmospheric General Circulation Models
MATHEMATICAL MODELS IN METEOROLOGY AND WEATHER FORECASTING
History of Numerical Weather Prediction
MATHEMATICAL MODELS OF HUMAN-INDUCED GLOBAL CHANGE
MATHEMATICAL MODELS IN AIR QUALITY PROBLEMS
A fundamental chemical kinetics system
Modeling of chemical ordinary differential equations
One example of the modeling of the air pollution problem: the CHIMERE software.
INFILTRATION AND PONDING
The Green and Ampt (1911) Model
Green and Ampt Model and Richards’ Equation
MATHEMATICAL EQUATIONS OF THE SPREAD OF POLLUTION IN SOILS
Effects of Boundary Conditions
Interaction of Surface Water and Chemical Transport in Soils
MATHEMATICAL SOIL EROSION MODELLING
Steady State Solutions of the Rose - Hairsine Model
MATHEMATICAL MODELS OF BIOLOGY
MATHEMATICAL MODELS OF MARINE ECOSYSTEMS
Introduction: Purposes of Mathematical Modeling in the study of Marine Ecosystems.
Processes and Fluxes in Marine Ecosystems
Various Approaches to Marine Ecosystems Modeling
More about Population-level Models
MODELS OF BIODIVERSITY
MATHEMATICAL MODELS IN MEDICINE AND PUBLIC HEALTH
MATHEMATICAL MODELS IN EPIDEMIOLOGY
Models for Infectious Diseases
Models for Vector-Born Infections
MATHEMATICAL MODELS OF PUBLIC HEALTH POLICY
Posing the Question and Design of the Answer
Policy Adoption and Implementation
Tailoring Models for Policy - the Intervener as Part of the System
MATHEMATICAL MODELS OF SOCIETY AND DEVELOPMENT: DEALING WITH THE COMPLEXITY OF MULTIPLE-SCALES AND THE SEMIOTIC PROCESS ASSOCIATED WITH DEVELOPMENT
MATHEMATICAL MODELS IN DEMOGRAPHY AND ACTUARIAL MATHEMATICS
MATHEMATICAL MODELS IN ECONOMICS
Mathematics, general equilibrium and dynamical system theory
ECOLOGICAL AND SOCIO-ECOLOGICAL ECONOMIC MODELS
Ecological-economic interaction models
Dynamic macro and micro simulation models
MATHEMATICAL MODELING IN SOCIAL AND BEHAVIORAL SCIENCE
Optimization Theory - Job Amenity and Moonlighting
Operations Research - The Job Assignment Problem
Game Theory - Political Competition
MATHEMATICAL MODELS OF MANAGEMENT OF THE ENVIRONMENT AND ITS NATURAL RESOURCES
Positive and Negative Externalities
Socially Optimum Provision of Environmental Bads
Mechanisms to Achieve the Optimal Level of an Environmental Bad
Socially Optimum Provision of Environmental Public Goods
A Unified Framework for the Optimal Management of Natural Resources
MATHEMATICAL MODELS OF GLOBAL TRENDS AND TECHNOLOGICAL CHANGE
Global Trends and Global Change
Modeling of Global Trends and Global Changes
SYSTEMS SCIENCE AND CYBERNETICS: THE LONG ROAD TO WORLD SOCIOSYSTEMICITY
The Essential Features of the Systemic Method
The Universal Scope of Systems
The Social System Concept: Differential Characteristics
Social Synergy as a Rational Design
Content and Structure of Contributions to this Theme
Application of Systems Science and Cybernetics: Modeling Society
Needs and Values: the Reference Pattern of Values
System Outputs: Raison D tre of "Systems Science and Cybernetics"
SYSTEM THEORIES: SYNERGETICS
HISTORY AND PHILOSOPHY OF THE SYSTEMS SCIENCES: THE ROAD TOWARD UNCERTAINTY
The Snake of Rational Curiosity in the Medieval Garden
The Slow Dawn of Technology in Medieval Europe
Descartes, the not very Systemic Systemist
The Expansion of the Universe of Knowledge
The Twilight of Scientific Simplicity: A can of Worms in 20th Century Science
GENERAL SYSTEMS THEORY
Contributions of General System Theory to the Philosophy of Science
LIVING SYSTEMS THEORY
ACTOR-SYSTEM-DYNAMICS THEORY
Applications and Policy Implications: The Knowledge Problematique vis--vis Complex Systems
ETHICS AS EMERGENT PROPERTY OF THE BEHAVIOR OF LIVING SYSTEMS
Ethics as Emergent Property of Social Systems
Growth, Development, and Sustainable Development in Economic Systems: The Role of Ethics
Relationship between Ethics and Quality
Systemic View of Ethics to Detect, Improve, and Design Quality of Life
AXIOLOGICAL SYSTEMS THEORY
Fundamental Principles of Axiological Systems Theory
The Basic Transformation Model
EVOLUTIONARY COMPLEX SYSTEMS
Self-contained Conceptualization
Multiplicity of Evolutionary Complex Systems and Sustainability
EPISTEMOLOGICAL ASPECTS OF SYSTEMS THEORY RELATED TO BIOLOGICAL EVOLUTION
Integrating Epistemology of Thermodynamics and of Biological Evolutionary Systems
SOCIO-TECHNICAL SYSTEMS: HISTORY AND STATE-OF-THE ART
The Role of Automation of Work Processes
The Requirement of Flexible Human Skills: Road to a Socio-Technical View
The Socio-Technical System Approach with Respect to Information- and Communication Technologies
THE GEOMETRY OF THINKING
SYSTEMS APPROACHES: A TECHNOLOGY FOR THEORY PRODUCTION
THE SYSTEMS SCIENCES IN SERVICE OF HUMANITY
The Relevance of the Systems Sciences
Systems Sciences as a Field of Inquiry
The Breadth and Diversity of the Systems Sciences
The Social Dimension of Systems Thinking
GENERAL SYSTEMS WELTANSCHAUUNG
Simplistic Generalizations have Engendered Civilizations
An Organismic Biology Emerged from GSW
Behavioral and Social Sciences Urgently Need GSW
METAMODELING
DESIGNING SOCIAL SYSTEMS
What is Social Systems Design?
What is the Product of Design?
What is the Process of Design?
A SYSTEMS DESIGN OF THE FUTURE
Macrosocial Issues and Their Inherent Values and Morals
Utopianism and Ideals without Illusions
Social Enginnering: Piecemil and Systemic
SOCIAL PROBLEM DIAGNOSIS: A SOCIOPATHOLOGY IDENTIFICATION MODEL
CRITICAL SYSTEMS THINKING
Introduction: The Role of Critical Systems Thinking within the Systems Movement
Origins: Opposition to the Hard Systems Approach, Improvement of Soft Approach
Confrontation: Different Approaches Compared
The Five Commitments of Critical Systems Thinking
TOTAL SYSTEMS INTERVENTION
Total Systems Intervention (TSI 1)
INTEGRATIVE SYSTEMS METHODOLOGY
The State of Systemic Problem-solving
PSYCHOLOGICAL AND CULTURAL DYNAMICS OF SUSTAINABLE HUMAN SYSTEMS
Dimensions of Human Life-support Systems and Sustainability
FORMAL APPROACHES TO SYSTEMS
A Template to Analyze General Systems Approaches
Current General Systems Approaches
The Basic General Systems Concepts
THE QUANTIFICATION OF SYSTEM DOMAINS
Quantification, Mathematization and Measurement
The Scientific Imperative and the Quantification Problem
Quantification Means Representation and Evaluation
Quantification. Formal Definition
Adequacy in the form of Quantification
Quantification of Attributes in Soft System Domains
The Formalization and Quantification of Complexity
The Failure in Modeling Large Scale Systems
Traditional Approaches to the Evaluation Problem. The Theory of Measurement
The Application of Qualitative and Quantitative Reasoning
Quantification Theory and Quantifiers in Logic
Implicit Quantification and Implicit Quantifiers
A [Not Quite] "New" Quantification Approach. Implicit Quantification
CHAOS: BACK TO "PARADISE LOST": PREDICTABILITY. THE CENTURY OF THE EMERGENCE OF SYSTEMIC THOUGHT AND CHAOS THEORY
An outstanding example of the chaotic dynamic system: the logistic map
TRANSDISCIPLINARY UNIFYING THEORY: ITS FORMAL ASPECTS
Rationales to Unifying Transdisciplinarily
External and Internal Constraints
GENERAL SYSTEMS PROBLEM SOLVER
CYBERNETICS: CYBERNETICS AND THE THEORY OF KNOWLEDGE
HISTORY OF CYBERNETICS
SECOND ORDER CYBERNETICS
Introduction: What Second Order Cybernetics is, and What it Offers
Background—the Logical Basis for Second Order Cybernetics
Second Order Cybernetics—Historical Overview
Theory of Second Order Cybernetics
Praxis of Second Order Cybernetics
KNOWLEDGE AND SELF-PRODUCTION PROCESSES IN SOCIAL SYSTEMS
Autopoiesis (Self-Production) of Networks
CYBERNETICS AND THE INTEGRATION OF KNOWLEDGE
Cybernetic Explanation and the Concept of Mechanism
The First Order Study of Natural Systems
Approaches to the Study of Social Systems
Cybernetics and the Arts, Humanities and Vocational Disciplines
CYBERNETICS AND COMMUNICATION
Communication between Man and Machine
Cybernetics and Communication on a Biological Level (cybernetics b)
Cybernetics and Communication on a Social Level (cybernetics s)
BIPOLAR FEEDBACK
Bipolar Feedback in Natural Processes
Biotic Patterns Generated by Bipolar Feedback in Natural and Human Processes
COMPUTATIONAL INTELLIGENCE
Computability, Decidability, and Complexity
Computational Intelligence and Knowledge-based Systems
Computational Intelligence and Neural Networks
GENERAL PRINCIPLES AND PURPOSES OF COMPUTATIONAL INTELLIGENCE
Definition and Understanding of Computational Intelligence
Goals of Computational Intelligence and their Accomplishment to date
Other Views of Computational Intelligence
Computational Intelligence and Soft Computing: Combinations of different Components
NEURAL NETWORKS
Introduction: Nervous Systems and Neurons
Perceptrons and More General Models of Neurons
Multilayered Perceptrons and General Neural Networks
SIMULATED ANNEALING: FROM STATISTICAL THERMODYNAMICS TO COMBINATORY PROBLEMS SOLVING
Complexities of Problems and Algorithms
Introduction to Global Search Methods
Contribution of Statistical Physics and Thermodynamics
The Simulated Annealing Algorithm
Examples of Problems Solved Thanks to Simulated Annealing
Comparisons with Other Heuristics and SA Performance Improvements
ADAPTIVE SYSTEMS
BIOLOGICAL INTELLIGENCE AND COMPUTATIONAL INTELLIGENCE
Historical Concepts of Intelligence
MATHEMATICAL MODELS IN ECONOMICS
A Modern Treatment of Walras’ General Equilibrium Theory
A Generalization of Ricardo’s Economic Theory
A Generalization of Malthus’ Population Dynamics with Chaos
Von Thunen’s Spatial Economics and a Short-Run Dynamics of Land Prices
The Ramsey Growth Model and Neoclassical Growth Theory
Monetary Economic Growth and Business Cycles
A Growth Model with Solow’s and Schumpeter’s Growth Mechanism
Economic Growth with Arrow’s Learning by Doing and Uzawa’s Education
A Nonlinear Keynesian Economic Dynamics and Chaos
INTRODUCTION TO MATHEMATICAL ECONOMICS
The Origins of Mathematical Economics
MATHEMATICAL MODELS IN INPUT-OUTPUT ECONOMICS
ECONOMIC DYNAMICS
Scalar Linear Equations and Their Applications to Economics
Scalar Nonlinear Equations and Their Applications to Economics
Planar Linear Equations and Their Applications to Economics
Two-dimensional Nonlinear Equations and Their Applications to Economics
Higher-Dimensional Linear Equations and Their Applications to Economics
Higher-Dimensional Nonlinear Equations And Their Applications to Economics
ECONOMETRIC METHODS
GENERAL EQUILIBRIUM
Optimality properties of equilibrium
Uniqueness properties of equilibrium
LABOUR MARKET ANALYSIS: ISSUES AND FACTS
HOUSEHOLD BEHAVIOR AND FAMILY ECONOMICS
The Behavior of Single-Person Households
WELFARE THEORY: HISTORY AND MODERN RESULTS
A Simple Walrasian General Equilibrium Model
Cost Benefit Analysis of Small Projects in General Equilibrium
The First and Second Welfare Theorem
MATHEMATICAL MODELING IN AGRICULTURAL ECONOMICS
Simulation Models and Normative Modeling
MODELS OF ECONOMIC GROWTH
MATHEMATICAL MODELS OF ENVIRONMENTAL ECONOMICS
Tragedy of the Commons – Global Warming
MONEY IN ECONOMIC ANALYSIS
Money in Walrasian general equilibrium theory
Demand and supply of money in Keynesian Macroeconomics
Investment demand in Keynesian Macroeconomics
MODELS OF INTERNATIONAL ECONOMICS
GROWTH, DEVELOPMENT AND TECHNOLOGICAL CHANGE
R&D-based Growth with Horizontal and Vertical Differentiation
INNOVATION AND ECONOMIC DYNAMICS
GROWTH AND DEVELOPMENT WITH INCOME AND WEALTH DISTRIBUTION
The Neoclassical Model of Economic Growth
Understanding Technical Progress: An Early Attempt
MATHEMATICAL MODELS OF TRANSPORTATION AND NETWORKS
Fundamental Decision-Making Concepts and Models
Models with Asymmetric Link Costs
A Transportation Network Efficiency Measure and the Importance of Network Components
MATHEMATICAL MODELS IN REGIONAL ECONOMICS
The Modeling Revolution in Economics
The Evolution of Models in Regional Economic Research
MATHEMATICAL MODELS OF RESOURCE AND ENERGY ECONOMICS
