Description: An Introduction to the Language of Mathematics Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Frederic Mynard Format: Hardback Publisher: Springer Nature Switzerland AG, Switzerland Imprint: Springer Nature Switzerland AG ISBN-13: 9783030006402, 978-3030006402 Synopsis 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.
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Location: Aldershot
End Time: 2024-11-05T09:05:26.000Z
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Book Title: An Introduction to the Language of Mathematics
Number of Pages: 185 Pages
Language: English
Publication Name: An Introduction to the Language of Mathematics
Publisher: Springer Nature Switzerland A&G
Publication Year: 2018
Subject: Mathematics
Item Height: 235 mm
Item Weight: 471 g
Type: Textbook
Author: Frederic Mynard
Item Width: 155 mm
Format: Hardcover
