Antony R. Handbook of Mathematics Formulae 2014
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Antony R. Handbook of Mathematics Formulae 2014
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Mathematics is both complex and beautiful. The complexity of mathematics is a reflection of the complexity of the relationships that exist in the universe. The beauty of mathematics is a reflection of the ability of the human mind to identify them in a unit-economical way: the more economical the identification of a constellation of relationships, the more man’s mind admires it. Beauty is not in the eyes of the beholder. Instead it is giving credit where credit is due - according to an objective standard. In mathematics that standard is the principle of unit economy. Its purpose is the condensation of knowledge, from the perceptual level all the way to the conceptual at the highest level.
I am pleased to present this book Handbook of Mathematics Formulae to Undergraduate, Postgraduate and Doctoral students of science, engineering and business discipline in University and Colleges. This will be a comprehensive formulae book in Mathematics (along with Statistics formulae and tables) which will also be most useful to school students (Grade 6 to Grade 12). The topics have been dealt with in a coherent manner, supported by illustrations for better comprehension. In many aspects, the topics and structure of this formulae book will be highly meritorious and unique. This book will contribute significantly to academic teaching, scientific research, practical works and for competitive exams preparation.
This mathematics formulae book is intended to provide students, professors, school teachers, technicians, scientists and engineers with a readily available reference to the essential mathematics formulae, tables and general information needed during their studies and work situation. Because mathematics is a linear sequence of truth, I demand readers to do all the exercises in various books using the formulae given in this book. In short, I demand honest effort, and I also hope that your effort would be rewarded. Reading this formulae book is not enough, you should also read books by good mathematicians.
The Greek Alphabet
Symbols and Their Abbreviations
Units
Systems of Measurement and their Units
SI System of Units
Physical Constants
Special Constants
Units of Physical Quantities
Prefixes
Conversion Factors for Units of Measure
Temperature conversions
Analysis
Basic Numbers
Special Numbers
Series and Products
Complex Analysis
Numerical Analysis
Real Analysis
Algebra
Fundamental Algebra
Vector Algebra
Linear and Matrix Algebra
Number Theory
Continuous Mathematics
Differential Calculus
Integral Calculus
Differential Equations
Partial Differential Equations
Discrete Mathematics
Set Theory
Permutations and Combinations
Difference Equations
Operations Research
Geometry
Coordinate Geometry
Special Functions
Trigonometric Functions or Circular Functions
Inverse Trigonometric Functions
Ceiling and Floor Functions
Hyperbolic Functions
Inverse Hyperbolic Functions
Exponential Functions
Logarithmic Functions
Gamma Functions
Beta Function
Hypergeometric Functions
Probability and Statistics
Probability – Introduction
Probability Distributions
Statistics
Probability Tables
Miscellaneous
Interpretations of Powers of
Calendar Computations
THE GREEK ALPHAB