Couverture : Google Books
Numbers and Functions
From a Classical-experimental Mathematician's Point of View
Résumé
New mathematics often comes about by probing what is already known. Mathematicians will change the parameters in a familiar calculation or explore the essential ingredients of a classic proof. Almost magically, new ideas emerge from this process. This book examines elementary functions, such as those encountered in calculus courses, from this point of view of experimental mathematics. The focus is on exploring the connections between these functions and topics in number theory and combinatorics. There is also an emphasis throughout the book on how current mathematical software can be used to discover and prove interesting properties of these functions. The book provides a transition between elementary mathematics and more advanced topics, trying to make this transition as smooth as possible. Many topics occur in the book, but they are all part of a bigger picture of mathematics. By delving into a variety of them, the reader will develop this broad view. The large collection of problems is an essential part of the book. The problems vary from routine verifications of facts used in the text to the exploration of open questions.
Détails de l'édition
- ISBN-13
- 9780821887950
- ISBN-10
- 0821887955
- EAN
- 9780821887950
- Éditeur
- American Mathematical Society (Providence (R. I.))
- Date de publication
- 1 janvier 2012
- Langue
- en
- Pages
- 530
- Dimensions
- 22 cm
Provenance des données
- dimensions BnF Catalogue général · 23 juillet 2026
- language Google Books · 30 juillet 2026
- page_count Google Books · 30 juillet 2026
- publication_date BnF Catalogue général · 23 juillet 2026
- subtitle Google Books · 30 juillet 2026
- summary Google Books · 30 juillet 2026
- title Google Books · 30 juillet 2026