The Tools of Mathematical Reasoning

Tamara J. Lakins (Autor)

Buch | Hardcover

217 Seiten

2016
American Mathematical Society (Verlag)
978-1-4704-2899-0 (ISBN)

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Offers beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis.

This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis. The importance of the logical structure of a mathematical statement as a framework for finding a proof of that statement, and the proper use of variables, is an early and consistent theme used throughout the book.

Tamara J. Lakins Allegheny College, Meadville, PA.

Language, logic, and proof
Techniques of proof
Induction
Sets
Functions
An introduction to number theory
Equivalence relations and partitions
Finite and infinite sets
Foundations of analysis
Writing mathematics
Bibliography

Erscheinungsdatum	10.11.2016
Reihe/Serie	Pure and Applied Undergraduate Texts
Verlagsort	Providence
Sprache	englisch
Maße	152 x 229 mm
Gewicht	568 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	1-4704-2899-7 / 1470428997
ISBN-13	978-1-4704-2899-0 / 9781470428990
Zustand	Neuware