Mathematics Dictionary (5th ed.)

Description

Memorize the vocabulary with the Anki deck.

cited in Bordoni When Historiography Met Epistemology (2017) p. 118fn8 re: general, particular, and singular solutions of DEs. It's much more pro and comprehensive than Licker's.

TXT file is text extracted from German-English dictionary on DjVu pp. 502-517 (cf. this 1,925 word pair one!).

Significant updates and revisions in this edition accommodate terms and concepts that have gained importance in mathematics since the previous edition was published. Users will rely on the 5th edition for easy access to a correlated condensation of mathematical concepts, which are covered in just the right depth for quick review. Terms encompass all topics covered in pre-college and college mathematics, including some graduate-level subjects. The multi-lingual index makes the dictionary useful to a wide audience. Contents: Dictionary of Mathematical Terms; Denominate Numbers; Mathematical Symbols; Differentiation Formulas; Integral Tables; Greek Alphabet; French-English Index; German-English Index; Russian-English Index; Spanish-English Index.

For the past 50 years, the Mathematics Dictionary has met the needs of students, scientists, engineers, and others who need to review mathematical terms and concepts. Much more than a mere word dictionary, this source offers cogent explanations of a wide range of mathematical ideas -- in a format that makes it easy to locate the meaning of terms at the level of complexity required.

The content of this book is well described by its subtitle: "Giving the meaning of the basic mathematical words and phrases, including an exhaustive covering of all terms from arithmetic through the calculus and the technical terms commonly used in the applications of these subjects.'' The objective of the book is described in the introduction as follows: "The sustaining motive in the preparation of this dictionary has been somewhat pedagogical, namely the conveying of mathematical concepts. Formalism has throughout been a minor consideration. The needs of three classes of readers have been kept constantly in mind: (1) The student's need of a reliable supplement to his current work and his need of ready access, in the more advanced classes, to the multitude of facts that he has already studied. (2) The needs of teachers and workers in other fields that require mathematics. (3) The needs of the intelligent layman who wants to know how to answer the mathematical questions that confront him almost daily.''
Users will certainly welcome a book of this kind. However, its usefulness might sometimes be impaired by serious errors, like: (1) "Abel's theorem on power series: if a power series in xx converges for x=cx=c, it converges absolutely for all values of xx such that −c<x<c-c<x<c.'' (2) "Conjugate radicals: radicals of the form √2+√3\surd 2+\surd 3 and √2−√3\surd 2-\surd 3; or, in general, √a+√b\surd a+\surd b and √a−√b\surd a-\surd b.'' Reviewed by W. Feller