| 000 | 01042camuu2200289 a 4500 | |
| 001 | 000045567474 | |
| 005 | 20091228115407 | |
| 008 | 090710s2010 flua b 001 0 eng | |
| 010 | ▼a 2009026636 | |
| 020 | ▼a 9781420083286 (hardcover : alk. paper) | |
| 020 | ▼a 1420083287 (hardcover : alk. paper) | |
| 035 | ▼a (KERIS)REF000015400077 | |
| 040 | ▼a DLC ▼c DLC ▼d BTCTA ▼d BAKER ▼d C#P ▼d CDX ▼d BWX ▼d YDXCP ▼d DLC ▼d 211009 | |
| 050 | 0 0 | ▼a QA241 ▼b .M597 2010 |
| 082 | 0 0 | ▼a 512.7 ▼2 22 |
| 090 | ▼a 512.7 ▼b M726a | |
| 100 | 1 | ▼a Mollin, Richard A. , ▼d 1947-. |
| 245 | 1 0 | ▼a Advanced number theory with applications / ▼c Richard A. Mollin. |
| 260 | ▼a Boca Raton : ▼b CRC Press , ▼c c2010. | |
| 300 | ▼a xiii, 466 p. : ▼b ill. ; ▼c 25 cm. | |
| 490 | 1 | ▼a Discrete mathematics and its applications |
| 500 | ▼a "A Chapman & Hall book." | |
| 504 | ▼a Includes bibliographical references and indexes. | |
| 650 | 0 | ▼a Number theory. |
| 830 | 0 | ▼a Discrete mathematics and its applications. |
| 945 | ▼a KINS |
Holdings Information
| No. | Location | Call Number | Accession No. | Availability | Due Date | Make a Reservation | Service |
|---|---|---|---|---|---|---|---|
| No. 1 | Location Science & Engineering Library/Sci-Info(Stacks2)/ | Call Number 512.7 M726a | Accession No. 121188173 | Availability Available | Due Date | Make a Reservation | Service |
Contents information
Table of Contents
Algebraic Number Theory and Quadratic Fields
Algebraic Number Fields
The Gaussian Field
Euclidean Quadratic Fields
Applications of Unique Factorization
Ideals
The Arithmetic of Ideals in Quadratic Fields
Dedekind Domains
Application to Factoring
Binary Quadratic Forms
Basics
Composition and the Form Class Group
Applications via Ambiguity
Genus
Representation
Equivalence Modulo p
Diophantine Approximation
Algebraic and Transcendental Numbers
Transcendence
Minkowski’s Convex Body Theorem
Arithmetic Functions
The Euler?Maclaurin Summation Formula
Average Orders
The Riemann zeta-function
Introduction to p-Adic Analysis
Solving Modulo pn
Introduction to Valuations
Non-Archimedean vs. Archimedean Valuations
Representation of p-Adic Numbers
Dirichlet: Characters, Density, and Primes in Progression
Dirichlet Characters
Dirichlet’s L-Function and Theorem
Dirichlet Density
Applications to Diophantine Equations
Lucas?Lehmer Theory
Generalized Ramanujan?Nagell Equations
Bachet’s Equation
The Fermat Equation
Catalan and the ABC-Conjecture
Elliptic Curves
The Basics
Mazur, Siegel, and Reduction
Applications: Factoring and Primality Testing
Elliptic Curve Cryptography (ECC)
Modular Forms
The Modular Group
Modular Forms and Functions
Applications to Elliptic Curves
Shimura?Taniyama?Weil and FLT
Appendix: Sieve Methods
Bibliography
Solutions to Odd-Numbered Exercises
Index: List of Symbols
Index: Alphabetical Listing
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