000 -LEADER |
fixed length control field |
nam a22 7a 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
190219b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470430979 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.7 |
Item number |
HUT |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Hutz, Benjamin |
245 ## - TITLE STATEMENT |
Title |
Experimental introduction to number theory |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Providence : |
Name of publisher, distributor, etc |
American Mathematical Society, |
Date of publication, distribution, etc |
2018 |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xii, 313 p. : |
Other physical details |
ill. ; |
Dimensions |
26 cm. |
365 ## - TRADE PRICE |
Price type code |
USD |
Price amount |
79.00 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This book presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also to develop their ability to formulate and test precise conjectures from experimental data. Each topic is motivated by a question to be answered, followed by some experimental data, and, finally, the statement and proof of a theorem. There are numerous opportunities throughout the chapters and exercises for the students to engage in (guided) open-ended exploration. At the end of a course using this book, the students will understand how mathematics is developed from asking questions to gathering data to formulating and proving theorems. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Number theory |
|
Topical term or geographic name as entry element |
Instructional exposition |
|
Topical term or geographic name as entry element |
Elementary number theory |
|
Topical term or geographic name as entry element |
Diophantine equations |
|
Topical term or geographic name as entry element |
Probabilistic theory |
|
Topical term or geographic name as entry element |
Metric theory of algorithms |
|
Topical term or geographic name as entry element |
Diophantine approximation |
|
Topical term or geographic name as entry element |
Finite fields and commutative rings |
|
Topical term or geographic name as entry element |
Polynomials |
|
Topical term or geographic name as entry element |
Dynamical systems and ergodic theory |
|
Topical term or geographic name as entry element |
Rational maps |
|
Topical term or geographic name as entry element |
Non-Archimedean dynamical systems |
|
Topical term or geographic name as entry element |
Arithmetic |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
Books |