거듭제곱근이 들어간 등식

개요

\(A=\sqrt{5}+\sqrt{22+2 \sqrt{5}}\)

\(B=\sqrt{11+2 \sqrt{29}}+\sqrt{16-2 \sqrt{29}+2 \sqrt{55-10 \sqrt{29}}}\)

두 수 A와 B는 같다.

minimal polynomial 은 \(x^4-54 x^2-40 x+269\) 이다

메모

• http://mathdl.maa.org/mathDL/22/?pa=content&sa=viewDocument&nodeId=2945
• Math Overflow http://mathoverflow.net/search?q=

매스매티카 파일 및 계산 리소스

• https://docs.google.com/leaf?id=0B8XXo8Tve1cxNjdjMWZiNjQtYTY0ZC00OWYzLWJmZWQtMzc0NzIxZjdmNDdm&sort=name&layout=list&num=50
• http://www.wolframalpha.com/input/?i=
• http://functions.wolfram.com/
• NIST Digital Library of Mathematical Functions
• Abramowitz and Stegun Handbook of mathematical functions
• The On-Line Encyclopedia of Integer Sequences
• Numbers, constants and computation
• 매스매티카 파일 목록

사전 형태의 자료

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/
• The Online Encyclopaedia of Mathematics
• NIST Digital Library of Mathematical Functions
• The World of Mathematical Equations

리뷰논문, 에세이, 강의노트

• http://www.maths.mq.edu.au/~alf/Humid%20Summer/2QuarticsLecture.pdf

관련논문

• Richard T. Bumby Incredible Identities Revisited
• D. SHANKS, ‘Incredible identities’, Fib. Quart. 12.3 (1974), 271–280
• http://www.jstor.org/action/doBasicSearch?Query=
• http://www.ams.org/mathscinet
• http://dx.doi.org/