Mathematical Constants and their Approximations

The Archimedes constant or Napier's constant are famous mathematical constants that we often encounter in many fields of mathematics and engineering. All scientists know the importance of these constants. Many mathematical constants are important not only in scientific and technological calculations but also in understanding the nature of phenomena and in solving unsolved problems. Still the nature of many constants has not been fully elucidated and even some of them have not been characterized by simple properties. Hence it is very important to develop methods for studying constants. We introduce in this book the characteristic properties of various constants and the open questions related to these constants and introduce interesting approximate formulas of constants. We will choose the constants that are relatively frequently used among the constants known so far and introduce them in alphabetical order. We will divide our results into two books. In Volume 1 we introduce from mathematical constants beginning with the first letter A to mathematical constants beginning with the first letter K in the alphabetical order.