About the book
Until now, research on numbers has been done in mathematics and applied mathematics. These numbers are still in the center of advanced mathematical research. The intent of this book is to survey major interesting results and current trends in the theory of number associated with Natural Numbers, Classes of Natural numbers, Integers, Relational Numbers, Irrational Numbers, Real Numbers, Complex numbers, Hypercomplex numbers, Transfinite numbers, Numbers representing physical quantities, Modern number theory, Analytic number theory, Algebraic number theory, Probabilistic number theory, Arithmetic combinatorics, Computational number theory, P-adic numbers, Finite extensions of the field of P-adic numbers, Topological algebra, Formal power series and P-adic integer, Automorphic number, P-adic analysis, P-adic distribution, P-adic exponential function, P-adic gamma function, P-adic L-function, P-adic modular form, P-adic order, P-adic quantum mechanics, P-adic Teichmüller theory, Bernoulli numbers, Euler numbers, Genocchi numbers, tangent numbers, Cauchy numbers, Stirling Numbers, Sum, Generating functions, q-number, (p,q)-number, Probabilistic number theory, Arithmetic combinatorics, Computational number theory, Discrete mathematics, Numerical analysis, Differential equations, Cryptography. This book is based on recent results in all areas related to numbers. Manuscripts that show applications of numbers in other fields by physicists, computational scientists, and applied scientists are also welcome.