- Teaches undergraduate students to learn and improve their mathematical writing skills
- Contains many exercises and solutions for self-learners
- Tried and tested for many years on courses at Queen Mary, University London
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- About this Textbook
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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. - About the authors
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Franco Vivaldi is a mathematician at the University of London; his research lies at the interface between dynamical systems and number theory.
- Table of contents (10 chapters)
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Some Writing Tips
Pages 1-7
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Essential Dictionary I
Pages 9-30
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Essential Dictionary II
Pages 31-50
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Mathematical Sentences
Pages 51-75
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Describing Functions
Pages 77-92
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Table of contents (10 chapters)
- Download Preface 1 PDF (59.3 KB)
- Download Sample pages 2 PDF (195.6 KB)
- Download Table of contents PDF (108.7 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Mathematical Writing
- Authors
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- Franco Vivaldi
- Series Title
- Springer Undergraduate Mathematics Series
- Copyright
- 2014
- Publisher
- Springer-Verlag London
- Copyright Holder
- Springer-Verlag London
- Distribution Rights
- Distribution rights for India: Delhi Book Store, New Delhi, India
- eBook ISBN
- 978-1-4471-6527-9
- DOI
- 10.1007/978-1-4471-6527-9
- Softcover ISBN
- 978-1-4471-6526-2
- Series ISSN
- 1615-2085
- Edition Number
- 1
- Number of Pages
- XVII, 204
- Number of Illustrations
- 16 illustrations in colour
- Topics