Numbers and Functions by Victor H Moll

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Numbers and Functions by Victor H Moll

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Part of Student Mathematical Library series

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Numbers and Functions by Victor H Moll

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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On the whole, this is an extraordinarily interesting book overflowing with (mostly) elementary non-routine mathematicsIt's well-written and a pleasure to read. I've been keeping it on my desk for the ease of access; it's going to stay there for some while. I recommend it wholeheartedly to math instructors, teachers, and students, especially those who have only a slight interest in the subject. The book is bound to expand their horizons." - MAA Reviews
Victor H. Moll, Tulane University, New Orleans, LA, USA
SKU Unavailable
ISBN 13 9780821887950
ISBN 10 0821887955
Title Numbers and Functions
Author Victor H Moll
Series Student Mathematical Library
Condition Unavailable
Binding Type Paperback
Publisher American Mathematical Society
Year published 2012-10-30
Number of pages 504
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.