Mathematical Writing / by Franco Vivaldi.

Format:

Book

Author/Creator:

Vivaldi, Franco, Author.

Series:

Springer Undergraduate Mathematics Series, 1615-2085

Language:

English

Subjects (All):

Mathematics.

Mathematics, general.

Local Subjects:

Mathematics, general.

Physical Description:

1 online resource (XVII, 204 p. 16 illus. in color.)

Edition:

1st ed. 2014.

Place of Publication:

London : Springer London : Imprint: Springer, 2014.

Language Note:

English

Summary:

This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition. Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150 of them have complete solutions, to facilitate self-study. Mathematical Writing will be of interest to all mathematics students who want to raise the quality of their coursework, reports, exams, and dissertations.

Contents:

Some writing tips

Essential dictionary I

Essential dictionary II

Mathematical sentences

Describing functions

Writing well

Forms of argument

Induction

Existence and definitions

Writing a thesis.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Description based on publisher supplied metadata and other sources.

ISBN:

1-4471-6527-6

OCLC:

898214140