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191094806
Discrete Mathematics and Its Application Advanced Number Theory with Applications, (Hardcover)
Item #:
191094806
BTN 39659
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Advanced Number Theory with Applications provides the most up-to-date and comprehensive material for a second course in this dynamic area of mathematics.
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- Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page reference for every citing in the bibliography and more than 1,500 entries in the index so that students can easily cross-reference and find the appropriate data.With numerous examples throughout, the text begins with coverage of algebraic number theory, binary quadratic forms, Diophantine approximation, arithmetic functions, p-adic analysis, Dirichlet characters, density, and primes in arithmetic progression. It then applies these tools to Diophantine equations, before developing elliptic curves and modular forms. The text also presents an overview of Fermat's Last Theorem (FLT) and numerous consequences of the ABC conjecture, including Thue-Siegel-Roth theorem, Hall's conjecture, the Erdös-Mollin--Walsh conjecture, and the Granville-Langevin Conjecture. In the appendix, the author reviews sieve methods, such as Eratothesenes', Selberg's, Linnik's, and Bombieri's sieves. He also discusses recent results on gaps between primes and the use of sieves in factoring.By focusing on salient techniques in number theory, this textbook provides the most up-to-date and comprehensive material for a second course in this field. It prepares students for future study at the graduate level.
| Book format | Hardcover |
| Fiction/nonfiction | Non-Fiction |
| Genre | Textbooks |
| Publication date | August, 2009 |
| Pages | 440 |
| Subgenre | Number Theory |
| Series title | Discrete Mathematics and Its Applications |
| Number in series | 1 |
| Edition | 1 |
| Publisher | CRC Press |
| Original languages | English |
| Translated from | Original |
| Language | English |
| Edu focus | Mathematics |
| Educational level | General |
| Is collectible | N |
| Binding type | Case Binding |
| Recording time | 0 min |
| Retail packaging | Single Piece |
| Assembled product dimensions (l x w x h) | 6.20 x 1.20 x 9.30 in (15.7 x 3 x 23.6 cm) |
| Assembled product weight | 1.7 lb (770 grams) |
| Bisac subject heading | Mathematics |
Product Description
Discrete Mathematics and Its Application Advanced Number Theory with Applications, (Hardcover)
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BTN 39659
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Features & Benefits
- Comprehensive coverage of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory.
- Includes over 1,500 entries in the index for easy cross-referencing.
- Covers key topics like Diophantine equations, elliptic curves, and modular forms.
- Discusses significant theorems including Fermat's Last Theorem and the ABC conjecture.
- Features numerous examples and techniques for practical application in number theory.
- Essential for students preparing for graduate-level study in mathematics.
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