Textbook in PDF format 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