The code book you are looking for is:
The KJV Bible
Reasoning:
The notation style and use of the word “angel” suggest that the code book we seek is the Bible, likely the King James Version as a traditional authoritative English source.
Let’s investigate the clues:
b2 c3 v14 w6-7
Book 2 (Exodus), Chapter 3, Verse 14, Words 6-7:
“I am” (yes, from the famous verse)
(side note; this number and some others are similar to e^pi - credit ACB).
v23140 w6
Similarly, Malachi 4:2, word 6 (this being the 23,140th verse in the Bible overall)
“that”
b3 c14 v15 w9-11
Leviticus 14:15, 9-11
“log of oil”
(side note; this number and the next are similar to pi)
v3141 w5-9
Leviticus 14:29, 5-9 (this being the 3,141st verse in the Bible overall)
“the oil that is in”
v23146
Matthew 1:1
“The book of the generation of Jesus Christ, the son of David, the son of Abraham.”
So we have:
The code book:
The KJV Bible
The message:
“I am that log of oil, the oil that is in the book of the generation of Jesus Christ, the son of David, the son of Abraham.”
The button on the calculator:
I'd thought the log button, used on a numeric equivalent of 'oil', since you are the "log of oil", but per op not correct.
The obvious alternative possibility is the ln button, which is in line with the numbers used in the puzzle. We have pi and e^pi in the puzzle; ln(e^pi)=pi, which is notable.
I thought maybe OIL=ENERGY=E, so we have log of oil = log of e = log e (a stretch, doesn't quite make sense), or possibly OIL sounds a little bit like EULER (credit Rubio), but also a bit of a stretch. But by process of elimination, and bearing in mind the numbers used, perhaps the button on the calculator is indeed the "ln" button.
What you are, and whether you have a rational basis for functioning:
If you are the log of Euler, or "Euler's log", I suppose no, you have no rational basis for functioning, as you operate based on the number e, which is irrational.
