An Introduction to the Language of Mathematics

An Introduction to the Language of Mathematics

2018 | ISBN: 3030006409 | English | 185 Pages | PDF | 3 MB

This is a textbook for an undergraduate mathematics major transition course from technique-based mathematics (such as Algebra and Calculus) to proof-based mathematics. It motivates the introduction of the formal language of logic and set theory and develops the basics with examples, exercises with solutions and exercises without. It then moves to a discussion of proof structure and basic proof techniques, including proofs by induction with extensive examples. An in-depth treatment of relations, particularly equivalence and order relations completes the exposition of the basic language of mathematics. The last chapter treats infinite cardinalities. An appendix gives some complement on induction and order, and another provides full solutions of the in-text exercises.

The primary audience is undergraduate mathematics major, but independent readers interested in mathematics can also use the book for self-study.


[Fast Download] An Introduction to the Language of Mathematics

Related eBooks:
Imperfect Leadership: A book for leaders who know they don't know it all
A Study of the Toyota Production System: From an Industrial Engineering Viewpoint
Jake Shimabukuro Teaches Ukulele Lessons: Book with Online Audio and Full-Length Online Video
Sociophysics: An Introduction
Modeling of Physiological Flows
On the (Im)Possibility of Business Ethics: Critical Complexity, Deconstruction, and Implications for
Московские выборные полки солдатского строя в начальн
Morningstar's 30-Minute Money Solutions: A Step-by-Step Guide to Managing Your Finances
Butterflies of the Pacific Northwest (A Timber Press Field Guide)
Macro-Level Learning through Massive Open Online Courses: Strategies and Predictions for the Future
An Illustrated History of the USA
The Rough Guide to the Hitchhiker's Guide to the Galaxy (The Rough Guide to)
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.