MATHEMATICAL PHYSIOLOGY

Table of Contents

MATHEMATICAL PHYSIOLOGY

CONTENTS

INTRODUCTION

MATHEMATICS AS A TOOL

THE MODELING RELATION

A MATHEMATICAL MODEL

THE NEWTONIAN PARADIGM

THE MODELING RELATION UNDER THE NEWTONIAN PARADIGM

ANALYTICAL VS SYNTHETIC

MATHEMATICAL BIOLOGY

NICHOLAS RASHEVSKY (1899-1984)

ROBERT ROSEN (1934- )

REAL NUMBERS

BINARY OPERATIONS

ALGEBRAIC SYSTEMS

ALGEBRAIC LAWS

ALGEBRAIC SYSTEMS WITH TWO BINARY OPERATIONS

RINGS

FIELDS

THE CLASSES OF THE REAL NUMBERS

SETS

BASIC CONCEPTS

OPERATIONS ON SETS

VENN DIAGRAMS

UNION

INTERSECTION

SUBSETS

THE UNIVERSAL SET

THE EMPTY SET Ø

EQUALITY

THE COMPLIMENT

DIFFERENCES OF SETS

Email: mikulecky@gems.vcu.edu

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