Elements of mathematics : from Euclid to Gödel
(Book)

Book Cover
Published
Princeton : Princeton University Press, [2016].
ISBN
9780691171685, 0691171688
Physical Desc
xiv, 422 pages ; 25 cm
Status

Copies

LocationCall NumberStatus
Acton - Adult510 S857On Shelf
Watertown - Adult510.711 STI 2017On Shelf

More Details

Published
Princeton : Princeton University Press, [2016].
Format
Book
Language
English
ISBN
9780691171685, 0691171688

Notes

Bibliography
Includes bibliographical references and index.
Description
Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

Description

Loading Description...

More Like This

Loading more titles like this title...

NoveList

Citations

APA Citation, 7th Edition (style guide)

Stillwell, J. (2016). Elements of mathematics: from Euclid to Gödel . Princeton University Press.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

Stillwell, John. 2016. Elements of Mathematics: From Euclid to Gödel. Princeton University Press.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

Stillwell, John. Elements of Mathematics: From Euclid to Gödel Princeton University Press, 2016.

MLA Citation, 9th Edition (style guide)

Stillwell, John. Elements of Mathematics: From Euclid to Gödel Princeton University Press, 2016.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

Staff View

Loading Staff View.