Elementary number theory (Record no. 10447)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03610nam a2200241Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IN-KoSCC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20231220125143.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 231220b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789355325129 |
| Terms of availability | Rs. 715.00 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9355325126 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | scc |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.81 |
| Item number | B974El |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Burton, David M. |
| 9 (RLIN) | 21 |
| 245 1# - TITLE STATEMENT | |
| Title | Elementary number theory |
| Statement of responsibility, etc. | David M. Burton |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 4th.ed.; Acc.77545 & 81616-7th ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New York.St.Louis |
| -- | Delhi |
| Name of publisher, distributor, etc. | Mc Graw Hill |
| Date of publication, distribution, etc. | 1998; Acc.77545-2013rep.; Acc.81616-2017 |
| -- | 2023 rep. |
| -- | c2011 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv,386p. , 24cm. |
| -- | 436 p. |
| 500 ## - GENERAL NOTE | |
| General note | Rs.597.00; Acc.77545-Rs.485.00; Acc. 81616-Rs.650.00 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Contents<br/><br/>Preface<br/><br/>New to This Edition<br/><br/>1 Preliminaries<br/><br/>1.1 Mathematical Induction<br/><br/>1.2 The Binomial Theorem<br/><br/>2 Divisibility Theory in the Integers<br/><br/>2.1 Early Number Theory<br/><br/>2.2 The Division Algorithm<br/><br/>2.3 The Greatest Common Divisor<br/><br/>2.4 The Euclidean Algorithm<br/><br/>2.5 The Diophantine Equation ax + by = c<br/><br/>3 Primes and Their Distribution<br/><br/>3.1 The Fundamental Theorem of Arithmetic<br/><br/>3.2 The Sieve of Eratosthenes<br/><br/>3.3 The Goldbach Conjecture<br/><br/>4 The Theory of Congruences<br/><br/>4.1 Carl Friedrich Gauss<br/><br/>4.2 Basic Properties of Congruence<br/><br/>4.3 Binary and Decimal Representations of Integers<br/><br/>4.4 Linear Congruences and the Chinese Remainder Theorem<br/><br/>5 Fermat's Theorem nominariqnich will add<br/><br/>5.1 Pierre de Fermat<br/><br/>5.2 Fermat's Little Theorem and Pseudoprimes<br/><br/>5.3 Wilson's Theorem<br/><br/>5.4 The Fermat-Kraitchik Factorization Method<br/><br/>6 Number-Theoretic Functions<br/><br/>6.1 The Sum and Number of Divisors<br/><br/>6.2 The Möbius Inversion Formula<br/><br/>6.3 The Greatest Integer Function<br/><br/>6.4 An Application to the Calendar<br/><br/>7 Euler's Generalization of Fermat's Theorem<br/><br/>7.1 Leonhard Euler<br/><br/>7.2 Euler's Phi-Function<br/><br/>7.3 Euler's Theorem<br/><br/>7.4 Some Properties of the Phi-Function<br/><br/>8 Primitive Roots and Indices<br/><br/>8.1 The Order of an Integer Modulo n<br/><br/>8.2 Primitive Roots for Primes<br/><br/>8.3 Composite Numbers Having Primitive Roots<br/><br/>8.4 The Theory of Indices<br/><br/>9 The Quadratic Reciprocity Law<br/><br/>9.1 Euler's Criterion<br/><br/>9.2 The Legendre Symbol and Its Properties<br/><br/>9.3 Quadratic Reciprocity<br/><br/>9.4 Quadratic Congruences with Composite Moduli<br/><br/>10 Introduction to Cryptography<br/><br/>10.1 From Caesar Cipher to Public Key Cryptography<br/><br/>10.2 The Knapsack Cryptosystem<br/><br/>10.3 An Application of Primitive Roots to Cryptography<br/><br/>11 Numbers of Special Form<br/><br/>11.1 Marin Mersenne<br/><br/>11.2 Perfect Numbers<br/><br/>11.3 Mersenne Primes and Amicable Numbers<br/><br/>11.4 Fermat Numbers<br/><br/>12 Certain Nonlinear Diophantine Equations<br/><br/>12.1 The Equation x ^ 2 + y ^ 2 = z ^ 2<br/><br/>12.2 Fermat's Last Theorem<br/><br/>13 Representation of Integers as Sums of Squares<br/><br/>13.1 Joseph Louis Lagrange<br/><br/>13.2 Sums of Two Squares<br/><br/>13.3 Sums of More Than Two Squares<br/><br/>14 Fibonacci Numbers<br/><br/>14.1 Fibonacci<br/><br/>14.2 The Fibonacci Sequence<br/><br/>14.3 Certain Identities Involving Fibonacci Numbers<br/><br/>15 Continued Fractions<br/><br/>15.1 Srinivasa Ramanujan<br/><br/>15.2 Finite Continued Fractions<br/><br/>15.3 Infinite Continued Fractions<br/><br/>15.4 Farey Fractions<br/><br/>15.5 Pell's Equation<br/><br/>16 Some Modern Developments<br/><br/>16.1 Hardy, Dickson, and Erdös<br/><br/>16.2 Primality Testing and Factorization<br/><br/>16.3 An Application to Factoring: Remote Coin Flipping<br/><br/>16.4 The Prime Number Theorem and Zeta Function<br/><br/>Miscellaneous Problems<br/><br/>Appendixes<br/><br/>General References<br/><br/>Suggested Further Reading<br/><br/>Tables<br/><br/>Answers to Selected Problems<br/><br/>Index |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical Number Theory |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Suppress in OPAC | No |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Full call number | Barcode | Date last seen | Price effective from | Koha item type | Public note | Copy number | Source of acquisition | Total Checkouts | Date due | Date last checked out | Cost, replacement price |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Mathematics | General Library (Scottish Church College) | General Library (Scottish Church College) | 30/09/2021 | 512.81 B974El | 60555 | 30/09/2021 | 30/09/2021 | Books | |||||||||||
| Dewey Decimal Classification | Mathematics | General Library (Scottish Church College) | General Library (Scottish Church College) | 30/09/2021 | 512.81 B974El | 81616 | 30/09/2021 | 30/09/2021 | Books | C1 | ||||||||||
| Dewey Decimal Classification | Mathematics | General Library (Scottish Church College) | General Library (Scottish Church College) | 02/01/2024 | 512.81 B974El | 85278 | 11/04/2025 | 02/01/2024 | Books | C2 | B.Bros | 1 | 26/04/2025 | 11/04/2025 | 715.00 | |||||
| Dewey Decimal Classification | Mathematics | General Library (Scottish Church College) | General Library (Scottish Church College) | 10/01/2025 | 512.81 B974El | 85951 | 10/01/2025 | 10/01/2025 | Books | C3 | 715.00 | |||||||||
| Dewey Decimal Classification | Mathematics | General Library (Scottish Church College) | SCC Departmental Library - Mathematics | 30/09/2021 | CL | 72601 | 30/09/2021 | 30/09/2021 | Class Library | CL | ||||||||||
| Dewey Decimal Classification | Mathematics | General Library (Scottish Church College) | SCC Departmental Library - Mathematics | 30/09/2021 | CL | 77545 | 30/09/2021 | 30/09/2021 | Class Library | CL |
Koha