| 000 -LEADER |
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| fixed length control field |
a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
230212b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781524948016 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
512.7 |
| Item number |
GAL |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Gallitano, Gail |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Topics in number theory |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Name of publisher, distributor, etc |
Kendall Hunt Publishing, |
| Date of publication, distribution, etc |
2018 |
| Place of publication, distribution, etc |
USA : |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xi, 291 p. ; |
| Other physical details |
ill. |
| Dimensions |
29 cm |
| 365 ## - TRADE PRICE |
|---|
| Price amount |
176.40 |
| Price type code |
USD |
| Unit of pricing |
85.20 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Topics in Number Theory is essentially a first course in number theory and as a prerequisite requires familiarity not much more than what is covered in any high school mathematics curriculum. This book is rich in examples. All the basic topic in elementary number theory including congruence, number theoretic functions, quadratic reciprocity, representation of certain primes in the form x2 + Ny2 using a theorem of Thue, continued fractions and Pell’s equation have been presented in appropriate details and illustrated by examples. Chakrav ala ‘Algorithm’ for finding a solution of Pell’s equation is also presented. The discussion of quadratic fields is followed by Euler’s proof of Fermat’s Last Theorem for exponent three. Several examples of Bachet equations having no solutions whose proofs can be provided based only on congruence arguments are discussed. The discussion of RSA cryptopgraphy is followed by an example using sufficiently large prime numbers. John Conway’s doomsday algorithm for finding day of the week is presented and is graphically illustrated by several examples. This book has over one hundred problems of various level of difficulty from very elementary to challenging. Hints of solutions have been provided to most of these problems. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Number theory |
|
|---|
| Topical term or geographic name as entry element |
Algebraic number |
|
|---|
| Topical term or geographic name as entry element |
Algebraic Integer |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Gupta, Shiv |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
Books |