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Emeritus Professor of Mathematics Jerry Janusz presents a survey, step-by-step, of most of the known techniques used in solving Sudoku puzzles and illustrates them with many examples so that the casual solver may learn to complete some of the "hard puzzles" that appear in some newspapers and other publications. He provides twenty-five pages of instruction for beginners to Sudoku puzzle solving and ninety pages for more advanced players. The book begins with a description of three elementary techniques that will allow the reader to solve "easy" and "medium" Sudoku puzzles. Then more advanced...

This text presents the basic information about finite dimensional extension fields of the rational numbers, algebraic number fields, and the rings of algebraic integers in them. The important theorems regarding the units of the ring of integers and the class group are proved and illustrated with many examples given in detail. The completion of an algebraic number field at a valuation is discussed in detail and then used to provide economical proofs of global results. The book contains many concrete examples illustrating the computation of class groups, class numbers, and Hilbert class fields....