Algebra of analysis

Title page......Page 1
Date-line......Page 2
TABLE OF CONTENTS......Page 3
INTRODUCTION......Page 5
1. The Classical Foundation of the Theory of Functions......Page 8
2. Algebra of Functions (Tri-Operational Algebra)......Page 10
3. The Theory of Constant Functions......Page 14
4. The Lytic Operations......Page 19
5. Exponential Functions......Page 22
6. The Logarithmic Functions......Page 24
7. The Absolute and the Signun......Page 26
8. The Power Functions......Page 29
9. The Trigonometric Functions......Page 32
1. The Algebra of Derivatives......Page 34
2. The Derivation of Exponential Functions......Page 37
4. Logarithmic and Exponential Derivation......Page 39
5. The Derivation of the Trigonometric Functions......Page 41
6. The Foundation of the Algebra of Antiderivatives......Page 43
7. Formulae of the Algebra of Derivation in the Notation of Antiderivation......Page 45
8. The Three Methods of Antiderivation......Page 46
1. The Algebra of Functions of Higher Rank......Page 49
2. Sum and Product......Page 53
3. The Algebra of Partial Derivatives......Page 54