Part 01:
Part 02:
Part 03: On Kepler
Part 04:
Part 05:
Part 06:
Part 07: Towards a Hylozoic Calculus
Part 08: The Significance of Precise Ambiguity in Science
Part 09: Bernouilli's Brachistochrone
Part 10: Justice for the Catenary
Part 11: Transcending Euclid
Part 12: Gauss's Division of the Circle
Part 13: The Finer Art of Science
Part 14: The Dissonance that Smiled
Part 15: The Solar System's Harmonic Twist
Part 16: What's in a Moment?
Part 17: Science is not Consensus
Part 18: Doing the Impossible
Part 19: The Known is Only a Special Case of the Unknown
Part 20: Gauss' Attack on Deductive Thinking
Part 21: It is Principles, Not Numbers that Count
Part 22: Your Education was Not Merely Incompetent
Part 23: The Civil Rights of Complex Numbers
Part 24: Let There Be Light
Part 25: Schiller and Gauss
Part 26: Ideas Cast Shadows, Too
Part 27: Gauss' Declaration of Independence
Part 28: Bringing the Invisible to the Surface
Part 29: The Crimes of Klein
Part 30: The Powers of One
Part 31: The Circle's Orbital Period
Part 32: The Beginnings of Differential Geometry
Part 33: Hyperbolic Functions - A Fugue Across 25 Centuries
Part 34: Power and Curvature
Part 35: Mind as a Power Generator
Part 36: Transcendental Harmonics
Part 37: The Domain of Possibility
Part 38: You Are Not Impossible
Part 39:
Part 40: Cognitive Least Action
Part 41: The Long Life of the Catenary
Part 42: Archytus from the Standpoint of Cusa, Gauss, and Riemann
Part 43: Isaac Newton: Godmother of Baby Boomer Bookkeeping
Part 44: Principles and Powers
Part 45: The Making of a Straight Line
Part 46: Something is Rotten in the State of Geometry
Part 47: Defeating I. Kant
Part 48: Riemann's Roots
Part 49: The Hidden History of the Complex Domain
Part 50: The Geometry of Change
Part 51: The Power of Number
Part 52: Abelian Functions and the Difference Between Man and Beast
Part 53: Look to the Potential
Part 54: The Dramatic Power of Abelian Functions
Part 55: What Are the Real Objects of Physical Science?
Part 56: Riemannian Spherics
Part 57: Pythagoras As Riemann Knew Him
Part 58: Bernhard Riemann’s “Dirichlet’s Priniciple”
Part 59: Think Infinitesimal
Part 60: The Power To Change, Change
Part 61: To What End Do We Study Riemann's Investigation of Abelian Functions?
Part 62: On the Continuum of the Discontinuum
Part 63: Dynamics not Mechanics
Part 64: Hypergeometric Harmonics
Part 65: On the 375th Anniversary of Kepler’s Passing
Part 66: Gauss’s Arithmetic-Geometric Mean: A Matter of Precise Ambiguity

Additional Pedagogical Works

Larry Hecht On Understanding Nuclear Power,#1: Avogardo's Hypothesis and Atomic Weight (When 2+1=2)
Larry Hecht On Understanding Nuclear Power,#2: The Periodicity of the Elements
Larry Hecht On Understanding Nuclear Power,#3: The Discovery Of Radioactivity And The Transmutation Of The Elements

David Shavin: Dirichlet and the Multiply-Connected History of Humans: The Mendelssohn Youth Movement
Pierre Beaudry: The Twelve Star Egyptian Sphere that Generated the Great Pyramid and the Platonic Solids
Judy Hodgkiss: The Unseen World Behind the Compass Needle
Pierre Beaudry: The Angular Determination of the Great Pyramid
Brian Lantz: Living Chemistry
Pierre Beaudry: How Benjamin Banneker Discovered the Principle of Proportionality in a Mathematical Puzzle
Phil Rubenstein: The Case of Max Planck
Larry Hecht: Construct a Solar Astronomical Calendar
Jonathan Tennenbaum: The Crab Nebula and the Complex Domain
Larry Hecht: On Polygonal Numbers
Susan Kokinda: Greece: Child of Egypt, Pt. 1
Jeremy Batterson: An Incredible Discovery of Archimedes
Bob Robinson: On the Circles of Apollonius
Jonathan Tennenbaum: A Note: Why Modern Mathmeticians Can't Understand Archytus
Jonathan Tennenbaum: Dynamis vs. Energeia
Bob Robinson: On Archytus
Jonathan Tennenbaum: From Cardan's Paradox to the Complex Domain
Jonathan Tennenbaum: Gauss vs. Empiricism
Ted Andromidas: The Poetry of Logarithms
Fred Haight: The Well-Tempered System
Ted Andromidas: The Spiral of the Primes
Jonathan Tennenbaum: Spring Cleaning for the Mind: 'On Proof,'
Ted Andromidas: How Archimedes Screwed the Oligarchy
Jonathan Tennenbaum & Bruce Director: The Transfinite Principal of Light
Bruce Director: Don't Vote for Anyone Who Doesn't Know Kepler
Jonathan Tennenbaum: Curvature: True Versus the Apparent
Jonathan Tennenbaum: The Fraud of Benchmarking
Phil Rubenstein: Predictions Are Always Wrong
Bruce Director: The Importance of Good Maps
Bruce Director: Hypergeometric Curvature
Jonathan Tennenbaum & Bruce Director: How to Purge Your Mind of Artificial Intelligence
Bruce Director: The Circle Is Not Simply Round
Bruce Director: Archimedes and the Student
Bruce Director: Dance with the Planets
Jonathan Tennenbaum: The Importance of Keeping People in a Healthy, Unbalanced State
Bruce Director: Where Are You? [Gauss' Geodesy ]
Robert Trout: How Aristarchus Measured the Universe
Robert A. Robinson: Why Kepler Thought Well of Copernicus
Robert Trout: Heraclides of Pontus Was No Baby Boomer
Phil Valenti: Leibniz and Dynamics: A Dialogue
Phil Rubenstein: Can There Be Any Linearity At All?
Jonathan Tennenbaum: The Astronomical Origins of Number Theory
Bruce Director: Beyond Counting: A Preparatory Experiment
Bruce Director: The Epinomis and the Complex Domain
Jonathan Tennenbaum: How Kepler Changed the Laws of the Universe
Bruce Director: Higher Arithmetic as a Machine Tool Principle
Jonathan Tennenbaum: The Simplest Discovery
Pierre Beaudry: The Paradox of the Poncelet Vanishing Point
Bruce Director: What Counts, or How Your Days Are Numbered
Jonathan Tennenbaum: The Curvature of Rectangular Numbers
Jonathan Tennenbaum: The Divine Proportion of Machine Tool Design
Jonathan Tennenbaum: Circular Action and the Fallacy of Linearity in the Small
Jonathan Tennenbaum: Demystify the Golden Section
Jonathan Tennenbaum: Incommensurability and Analysis Situs
Larry Hecht: The Refraction of Light and the Circle
Bruce Director: Measurement and Divisibility
Sylvia Brewda: Plato's Meno Dialogue
Larry Hecht: An Exploration of the Relationship Among Number, Space, and Mind
Bruce Director: Mind Over Mathematics: How Gauss Determined the Date of His Birth
Pierre Beaudry: How the Greeks Measured the Invisible
Jonathan Tennenbaum: Motion Is Not Simple
Larry Hecht: Demonstrate the Principle That Measurement Is Hypothesis
Bruce Director: Prime Numbers