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"This text presents a new and original point of view onmathematics that will be useful for simplifying applications ofmathematics to practical problems by translating English statementsof a problem into the Language of Mathematics. The reviewer sharesthe author's opinion that \this book will improve and increase thereader's insight into mathematics and how to utilize it inpractice." (Zentralblatt MATH, 2012)
A new and unique way of understanding the translation ofconcepts and natural language into mathematicalexpressions
Transforming a body of text into corresponding mathematicalexpressions and models is traditionally viewed and taught as amathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practicereveals a new way to view this process--not as a mathematicalproblem, but as a translation, or language, problem. By presentingthe language of mathematics explicitly and systematically, thisbook helps readers to learn mathematics¿and improve theirability to apply mathematics more efficiently and effectively topractical problems in their own work.
Using parts of speech to identify variables and functions in amathematical model is a new approach, as is the insight thatexamining aspects of grammar is highly useful when formulating acorresponding mathematical model. This book identifies the basicelements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combiningthem into expressions and other structures. The author describesand defines different notational forms for expressions, and alsoidentifies the relationships between parts of speech and othergrammatical elements in English and components of expressions inthe language of mathematics. Extensive examples are used throughoutthat cover a wide range of real-world problems and feature diagramsand tables to facilitate understanding.
The Language of Mathematics is a thought-provoking bookof interest for readers who would like to learn more about thelinguistic nature and aspects of mathematical notation. The bookalso serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their abilityto apply mathematics effectively, systematically, and efficientlyto practical problems.