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Download as PDF; Printable version; In other projects ... List of unsolved problems may refer to several notable conjectures or open problems in various academic ...
Problem books are textbooks, usually at advanced undergraduate or post-graduate level, in which the material is organized as a series of problems, each with a complete solution given. Problem books are distinct from workbooks in that the problems are designed as a primary means of teaching, not merely for practice on material learned elsewhere.
Marvin Minsky said in his paper Steps Toward Artificial Intelligence that "everyone should know the work of George Pólya on how to solve problems." [ 27 ] Pólya's book has had a large influence on mathematics textbooks as evidenced by the bibliographies for mathematics education .
Problems 1, 2, 5, 6, [a] 9, 11, 12, 15, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems. That leaves 8 (the Riemann hypothesis), 13 and 16 [b] unresolved. Problems 4 and 23 are considered as too vague to ever be described as solved; the withdrawn 24 would also be in ...
The most efficient way to identify many problems is to go on the individual articles of your book and view the article as a PDF (click "Download as PDF" in the "print/export" box on the left hand side of your screen, towards the bottom). Preview the page, and if something doesn't look right, chances are there's a problem.
The content ranges from extremely difficult algebra and pre-calculus problems to problems in branches of mathematics not conventionally covered in secondary or high school and often not at university level either, such as projective and complex geometry, functional equations, combinatorics, and well-grounded number theory, of which extensive knowledge of theorems is required.
The Great Mathematical Problems [note 1] is a 2013 book by Ian Stewart. It discusses fourteen [ 1 ] mathematical problems and is written for laypersons. [ 2 ] The book has received positive reviews.
Protein folding problem: Is it possible to predict the secondary, tertiary and quaternary structure of a polypeptide sequence based solely on the sequence and environmental information? Inverse protein-folding problem: Is it possible to design a polypeptide sequence which will adopt a given structure under certain environmental conditions?