Elements of mathematics : from Euclid to Godel / John Stillwell.
Material type: TextPublication details: Princeton : Princeton University Press, ©2016.Description: xiv, 422 pages : illustrations ; 24 cmISBN:- 9780691171685 (hardcover : alk. paper)
- 510.711 23 St857
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|
Books | ISI Library, Kolkata | 510.711 St857 (Browse shelf(Opens below)) | Available | 137970 |
Browsing ISI Library, Kolkata shelves Close shelf browser (Hides shelf browser)
No cover image available | No cover image available | No cover image available | No cover image available | No cover image available | ||||
510.711 In59 Mathematical needs of school leavers entering employment : proceedings | 510.711 In59G Mathematical skills and qualities needed in graduate entrants to industry and commerce | 510.711 R164 Future of college mathematics | 510.711 St857 Elements of mathematics : | 510.71142574 F271 Oxford figures | 510.71154 In39 Review Committee | 510.71154 In39 Review Committee |
Includes bibliographical references and index.
1. Elementary topics --
2. Arithmetic --
3. Computation --
4. Algebra --
5. Geometry --
6. Calculus --
7. Combinatorics --
8. Probability --
9. Logic --
10. Some advanced mathematics.
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.
There are no comments on this title.