nam a22 7a 4500
29364
29364
190219b xxu||||| |||| 00| 0 eng d
9781470430979
512.7
HUT
Hutz, Benjamin
Experimental introduction to number theory
Providence :
American Mathematical Society,
2018
xii, 313 p. :
ill. ;
26 cm.
USD
79.00
Pure and applied undergraduate texts ; 31
Includes bibliographical references and index.
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.
Number theory
Instructional exposition
Elementary number theory
Diophantine equations
Probabilistic theory
Metric theory of algorithms
Diophantine approximation
Finite fields and commutative rings
Polynomials
Dynamical systems and ergodic theory
Rational maps
Non-Archimedean dynamical systems
Arithmetic
ddc
BK
0
0
ddc
0
512_700000000000000_HUT
0
39585
DAIICT
DAIICT
2019-02-18
Kushal Books
5861.80
512.7 HUT
031775
2019-02-19
BK