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Numbers and Functions : From a Classical-Experimental Mathematician's Point of View download book

Numbers and Functions : From a Classical-Experimental Mathematician's Point of View by Victor H. Moll
Numbers and Functions : From a Classical-Experimental Mathematician's Point of View
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Author: Victor H. Moll
Number of Pages: 504 pages
Published Date: 03 Nov 2012
Publisher: American Mathematical Society
Publication Country: Providence, United States
Language: English
ISBN: 9780821887950
Download Link: Numbers and Functions From a Classical-Experimental Mathematician's Point of View
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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.

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