
Preface  Preview Material  Table of Contents  Index  Supplementary Material 
Student Mathematical Library 2012; 504 pp; softcover Volume: 65 ISBN10: 0821887955 ISBN13: 9780821887950 List Price: US$58 Member Price: US$46.40 Order Code: STML/65 See also: The Prime Numbers and Their Distribution  Gerald Tenenbaum and Michel Mendes France Higher Arithmetic: An Algorithmic Introduction to Number Theory  Harold M Edwards  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. Readership Undergraduate and graduate students interested in number theory, combinatorics, analysis, and experimental mathematics. 


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