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Contents
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CLASSICAL IDEAS
INTRODUCTION
GREETING
SO WHY PHYSICS?
WHAT PHYSICS IS
HOW THE KNOWLEDGE IS ARRANGED
THE FOUNDATIONS OF THE ORDER
WHAT WE ARE, WHAT WE COULD BE
ORGANIZATION OF THE SUBJECT MATTER
THE LANGUAGE OF PHYSICS
INTRODUCTION
IS THIS REALLY NECESSARY?
THREE EXAMPLES
FEATURES OF THE LANGUAGE
THE CONTEXT OF MODERN PHYSICS
DIMENSIONAL ANALYSIS: THE BEGINNING OF PHYSICS
GENERALITIES VERSUS DETAILS
THE EMERGENCE OF NATURE'S PATTERNS
THE MATHEMATICAL STATEMENTS OF PHYSICS
THE TECHNIQUE OF DIMENSIONAL ANALYSIS
FERMI PROBLEMS
WHY ISN'T DIMENSIONAL ANALYSIS ALL THERE IS?
MORE EXAMPLES
COMMENT
THE FUNDAMENTAL DIMENSIONFUL CONSTANTS
STARLIGHT AND LIFE
DIMENSIONS AND SCALING REVISITED
THE CONSTANT h/
Repeated angular momenta
THE SPEED OF LIGHT
NEWTON'S CONSTANT
PLANCK'S OTHER OBSERVATION
MISSING STEPS
EQUALLY OBSCURE REPEATABILITY
NEWTON'S REVOLUTION: THE OBJECT AND THE EXTERNAL WORLD
CONTEXT
WHAT WAS NEEDED; WHAT IS NEEDED
THE OBJECT AND THE EXTERNAL WORLD
CONSEQUENCES AND CAVEATS
FINISHING AN EXAMPLE: NEWTON'S LAW OF GRAVITATION
FREE-BODY DIAGRAMS
WRAP-UP
THE PRINCIPLE OF LEAST ACTION
INTRODUCTION
A NEW DEGREE OF REFINEMENT
MINIMIZATION
EXAMPLE OF A MINIMIZATION LAW: FERMAT'S LEAST TIME PRINCIPLE FOR LIGHT
RELATION TO THE EQUATIONS OF MOTION
THE SET OF ALL PATHS
ONE CAVEAT: MATHEMATICS VS. PHYSICS, OR, STRAIGHT AHEAD AND DAMN THE TORPEDOES!
MINIMIZATION AND THE SLOPE OF A VALLEY
WHY THIS WAS THE RIGHT DIRECTION TO LOOK
NOETHER'S THEOREM AND THE IMPORTANCE OF SYMMETRY
CHOOSING ACTIONS BY SYMMETRY
SYNOPSIS
Classical Fields and Currents
WHY FIELDS?
AN EXAMPLE: THE TEMPERATURE FIELD
PROPERTIES OF THE TEMPERATURE FIELD
A DIFFERENT EXAMPLE: THE PRESSURE FIELD
PROPERTIES OF SOUND
YOUNG'S DOUBLE SLIT EXPERIMENT
A NATURAL LANGUAGE TO DESCRIBE WAVES
FOURIER'S THEOREM: WAVES ON A STRING
WAVES IN A BOX
HOW MANY MODES IN A BOX?
FLOW FIELDS
CONSERVATION AND DIVERGENCE
CIRCULATION
THE DIVERGENCE OF A CIRCULATION
SYNOPSIS
References
Index
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