| 000 -LEADER |
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| fixed length control field |
03097nam a2200265 4500 |
| 001 - CONTROL NUMBER |
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| control field |
vtls001836160 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
MY-SjTCS |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20200226121257.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
110218t2001 nju 001 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
0130309540 |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] |
|---|
| Level of rules in bibliographic description |
201909031232 |
| Level of effort used to assign nonsubject heading access points |
ummi |
| Level of effort used to assign subject headings |
201102181241 |
| Level of effort used to assign classification |
VLOAD |
| -- |
200407271913 |
| -- |
VLOAD |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
512.7 |
| Item number |
SIL |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Silverman, Joseph H., |
| Dates associated with a name |
1955- |
| 9 (RLIN) |
10914 |
| 245 12 - TITLE STATEMENT |
|---|
| Title |
A friendly introduction to number theory / |
| Statement of responsibility, etc. |
Joseph H. Silverman |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
Upper Saddle River, N.J. : |
| Name of publisher, distributor, etc. |
Prentice Hall, |
| Date of publication, distribution, etc. |
c2001 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
vii, 386 p. ; |
| Dimensions |
24 cm. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Ch.30. Diophantine approximation. - Ch.31. Diophantine approximation and Pell's equation. - Ch.32. Primality testing and carmichael number. - Ch.33. Number theory and imaginary number. - Ch.34. The Gaussian integers and unique factorization. - Ch.35. Irrational number and transcendental numbers. - Ch.36. Binomial coeffecients and Pascal's triangle. - Ch.37. Fibonacci's rabbits and linear recurrence sequences. - Ch.38. Generating functions. - Ch.39. Sums of powers. - Ch.40. Cubic curves and Ellipric curves. - Ch.41. Elliptic curves with few rational points. - Ch.42. Points on Elliptic curves modulo p. - Ch.43. Torsion collections modulo p and bad primes. - Ch.44. Defect bounds and modularity pattens. - Ch.45. Elliptic curves and Fermat's last theorem further reading. - Appendix A. Factorization of small composite integers. - Appendix B. A list of primes - Index |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Preface. - Introduction. - Ch.1. What is number theory?. - Ch.2. Pythagorean triples. - Ch.3. Pythagorean triples and the unit circle. - Ch.4. Sums of higher powers and Fermat's last theorem. - Ch.5. Divisibility and the greatest common divisor. - Ch.6. Linear equations and the greatest common divisor. - Ch.7. Factorization and the fundamental theorem of arithmetic. - Ch.8. Congruences. - Ch.9. Congruences, power and Fermat's little theorem. - Ch.10. Congruences, power, and Euler's formula. - Ch.11. Euler's Phi function. - Ch.12. Prime numbers. - Ch.13. Counting primes. - Ch.14. Mersenne primes. - Ch.15. Mersenne primes and perfect numbers. - Ch.16. Powers modulo m and successive squaring. - Ch.17. Computing kth roots modulo m. - Ch.18. Powers, roots and "Unbreakable" codes. - Ch.19. Euler's Phi function and sums of divisors. - Ch.20. Powers modulo p and primitive roots. - Ch.21. Primitive roots and indices. - Ch.22. Squares modulo p. - Ch.23. Is-1a square Modulo p?Is 2?. - Ch.24. Quadratic reciprocity. - Ch.25. Which primes are sums of two squares? - Ch.26. Which numbers are sums of two squares?. - Ch.27. The equation X4+Y4+Z4. - Ch.28. Square-triangular number revisited. - Ch.29. Pell's equation. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
...This book will lead you through the groves wherein lurk some of the brightest flowers of number theory, as it simultaneously encourages you to investigate, analyze, conjecture, and ultimate prove your own beautiful number theoritics results. - Preface |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Number theory. |
| 9 (RLIN) |
10595 |
| 920 ## - Programme |
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| Programme |
ADP : 93588 |
| 921 ## - Programme |
|---|
| Programme |
UOS:C : 560431 |
| 922 ## - Programme |
|---|
| Programme |
GEN : 102706 |
| 999 ## - SYSTEM CONTROL NUMBERS (KOHA) |
|---|
| Koha biblionumber |
179997 |
| Koha biblioitemnumber |
179997 |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) |
|---|
| -- |
7102:20150603 |
