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.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
Student Mathematical Library |
Release date: |
October 2012 |
First published: |
November 2012 |
Authors: |
Victor H. Moll
|
Dimensions: |
185 x 215 x 26mm (L x W x T) |
Format: |
Paperback
|
Pages: |
504 |
ISBN-13: |
978-0-8218-8795-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
0-8218-8795-5 |
Barcode: |
9780821887950 |
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