W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    

    

    This text provides a fresh look at soil science. The goal is to help students understand the parts that contribute to the whole soil individual and then appreciate how those parts function together. It begins by assembling the parts (solid, liquid and gas phases) of a soil, followed by explaining the interactions among the parts. Subsequently, genesis, classification, and interpretation of soil properties are explained. The "building the pedon"* concept introduced in the first edition is continued in this latest edition. This edition also has a "western" perspective that emphasizes water management. *Pedon: "3-dimensional body of soil with lateral dimensions large enough to contain all soil properties."