Contents

• A. The Classical Foundation of the Theory of Functions

• B. Algebra of Functions (Tri-Operational Algebra)

• C. The Theory of Constant Functions

• D. The Lytic Operations

• E. Exponential Functions

• F. The Logarithmic Functions

• G. The Absolute and the Signum

• H. The Power Functions

• I. The Trigonometric Functions

Contents

• A. The Algebra of Derivatives

• B. The Derivation of Exponential Functions

• C. The Derivation of Logarithmic Functions

• D. Logarithmic and Exponential Derivation

• E. The Derivation of the Trigonometric Functions

• F. The Foundation of the Algebra of Antiderivatives

• G. Formulae of the Algebra of Derivation in the Notation of Antiderivation

• I. The Three Methods of Antiderivation

Contents

• A. The Algebra of Functions of Higher Rank

• B. Sum and Product

• C. The Algebra of Partial Derivatives