MATHEMATICS: CONCEPTS AND FOUNDATIONS

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