Methods of The Analytical Proof: " The Tools of Mathematical Thinking " - Tapa blanda

In mathematics, an analytic proof is a proof of a theorem in analysis that only makes use of methods from analysis, and which does not predominantly make use of algebraic or geometrical methods. The term was first used by Bernard Bolzano, who first provided a non-analytic proof of his intermediate value theorem and then, several years later provided proof of the theorem which was free from intuitions concerning lines crossing each other at a point and so he felt happy calling it analytic (Bolzano 1817). Bolzano's philosophical work encouraged a more abstract reading of when a demonstration could be regarded as analytic, where a proof is analytic if it does not go beyond its subject matter (Sebastik 2007). In proof theory, an analytic proof has come to mean a proof whose structure is simple in a special way, due to conditions on the kind of inferences that ensure none of them go beyond what is contained in the assumptions and what is demonstrated. This book details the methods and means by which an analytic proof is formulated.

Paul F. Kisak is an Engineer & Former Intelligence Officer for the US intelligence Community. He has authored several books, edited over 92 books and has written over 75 Technical, Classified & Unclassified papers, Articles & Essays. He has also written for an International Encyclopedia on Intelligence and Counter-Intelligence and written several award-winning satellite simulation software manuals that have been sold in more than a dozen countries. He has also appeared in Marquis “Who’s Who in the World” & “Who’s Who in Science & Engineering” and continues to edit and write.