Website owner: James Miller
Linear algebra. What is it all about? What is its use? Starting with such concepts as a "linear space", "inner product", "linear transformation", etc. defined from sets of axioms, one develops a body of theorems and results from those axioms that is applicable to anything that meets the basic abstract requirements.
Linear algebra employs the theory and concepts of Matrix Theory but applies them to a much broader assortment of objects than the matrices and vectors encountered in Matrix Theory -- applying them to things like differential and integral equations, infinite series, polynomials, continuous functions, etc.. The concepts, structures and results of Matrix Theory serve as a kind of formal model for abstract structures that are possessed by a broad and diverse assortment of other things. Linear Algebra is a generalization of Matrix Theory that includes "vectors" of a completely different nature from the usual concept of the vector encountered in Matrix Theory. The vector space of Matrix Theory consists of the familiar vectors of one, two, three and n-dimensional space. The "vectors" of Linear Algebra correspond to such widely different things as continuous functions, infinite series, infinite sequences, polynomials, etc.. These things also have their spaces, subspaces, bases, etc.
In Linear Algebra, starting from abstract, axiomatic definitions for a linear space and a linear transformation one proceeds to such non-trivial ideas as eigenvectors and eigenvalues associated with linear transformations -- ideas important not only in Matrix Theory but also in other areas (such as the solution of differential and integral equations).
The Way of Truth and Life
God's message to the world
Jesus Christ and His Teachings
Words of Wisdom
Way of enlightenment, wisdom, and understanding
Way of true Christianity
America, a corrupt, depraved, shameless country
On integrity and the lack of it
The test of a person's Christianity is what he is
Who will go to heaven?
The superior person
On faith and works
Ninety five percent of the problems that most people have come from personal foolishness
Liberalism, socialism and the modern welfare state
The desire to harm, a motivation for conduct
The teaching is:
On modern intellectualism
On Self-sufficient Country Living, Homesteading
Principles for Living Life
Topically Arranged Proverbs, Precepts, Quotations. Common Sayings. Poor Richard's Almanac.
America has lost her way
The really big sins
Theory on the Formation of Character
You are what you eat
People are like radio tuners --- they pick out and listen to one wavelength and ignore the rest
Cause of Character Traits --- According to Aristotle
These things go together
We are what we eat --- living under the discipline of a diet
Avoiding problems and trouble in life
Role of habit in formation of character
The True Christian
What is true Christianity?
Personal attributes of the true Christian
What determines a person's character?
Love of God and love of virtue are closely united
Walking a solitary road
Intellectual disparities among people and the power in good habits
Tools of Satan. Tactics and Tricks used by the Devil.
On responding to wrongs
Real Christian Faith
The Natural Way -- The Unnatural Way
Wisdom, Reason and Virtue are closely related
Knowledge is one thing, wisdom is another
My views on Christianity in America
The most important thing in life is understanding
Sizing up people
We are all examples --- for good or for bad
Television --- spiritual poison
The Prime Mover that decides "What We Are"
Where do our outlooks, attitudes and values come from?
Sin is serious business. The punishment for it is real. Hell is real.
Self-imposed discipline and regimentation
Achieving happiness in life --- a matter of the right strategies
Self-control, self-restraint, self-discipline basic to so much in life
We are our habits
What creates moral character?