This guide to writing mathematical expressions covers both simple notations used in general texts and professional formulas and equations used in natural sciences, mathematics, and other fields. It is an essential handbook for people who write, edit, or typeset of texts where mathematical notations may be needed. The book presents notations defined in the modern international standard ISO 80000-2 but also describes other common practices.
The notes are written in a rather colloquial style, presenting the subject matter in the same form as it can be explained in a classroom. For instructors, this will minimize the amount of effort required to prepare their blackboard presentations.
As prerequisites, the book only relies on standard calculus, an introductory course on matrices, and some basic computer programming skills. As a new feature, these notes are supplemented by two sets of videos from the author's Youtube channel. These videos contain a complete set of live lectures given in Spring 2015, together with a complete set of short tutorials, from 5 to 15 minutes each.
A set of homework problems is included at the end of each chapter. Homework projects cover a variety of applications, in connection with population dynamics, engineering, mechanics, image reconstruction, etc. A complete set of solutions is available for instructors, upon request.
This is an extensive manual of the Finnish language. It is an ideal source of information when you wish to learn about some specific features of Finnish, such as pronunciation, word formation, notational conventions, or verb forms, even with minimal or no previous understanding of the language. It is intended primarily for people who study, learn, or use Finnish as a foreign language. It is particularly useful to advanced language learners, translators, and linguists.
The book covers
· all the major features of Finnish grammar, including both standard written language, common spoken language, and features of major dialects
· treatises of key specialties of Finnish such as idiomatic uses of locational case forms
· in-depth look at some topics largely ignored in Finnish grammars, such as compositive forms of words and “passive” forms of verbs
· punctuation rules and rules for writing numbers and special notations
· issues in writing and processing Finnish-language texts in the modern world, with computers
The book is also useful to people with Finnish as their native or second language, because it gives them a different look at the language. The approach in the book partly deviates from the tradition of Finnish grammars, Finnish style guides, and teaching of Finnish at schools. It treats Finnish as a world to be explored, rather than something we know all too well, and it treats it like any other language, using international concepts and terms.