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An Invitation to Modern Number Theory

£34.99

Product description

In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus (though there are numerous remarks for those with deeper backgrounds). It shows students what number theory theorems are used for and what led to them and suggests problems for further research. Steven Miller and Ramin Takloo-Bighash introduce the problems and the computational skills required to numerically investigate them, providing background material (from probability to statistics to Fourier analysis) whenever necessary.

They guide students through a variety of problems, ranging from basic number theory, cryptography, and Goldbach's Problem, to the algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students to study them further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which has recently become a powerful tool for predicting answers in number theory. Providing exercises, references to the background literature, and Web links to previous student research projects, An Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.

The book is in near-fine condition, with some light handling marks and minor bumps on the cover, plus a few small marks on the text block edge. Pages clean and bright.

Item details

Author(s):
Steven J Miller & Ramin Takloo-Bighash
Condition:
Used: very good
Dimensions:
16.4 x 24.1 x 3.8
Edition:
2006
Format:
Hardback
ISBN-10:
0691120609
ISBN-13:
9780691120607
Number of pages:
503
Publisher:
Princeton University Press
Title:
An Invitation to Modern Number Theory

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About this item

In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus (though there are numerous remarks for those with deeper backgrounds). It shows students what number theory theorems are used for and what led to them and suggests problems for further research. Steven Miller and Ramin Takloo-Bighash introduce the problems and the computational skills required to numerically investigate them, providing background material (from probability to statistics to Fourier analysis) whenever necessary.

They guide students through a variety of problems, ranging from basic number theory, cryptography, and Goldbach's Problem, to the algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students to study them further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which has recently become a powerful tool for predicting answers in number theory. Providing exercises, references to the background literature, and Web links to previous student research projects, An Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.

The book is in near-fine condition, with some light handling marks and minor bumps on the cover, plus a few small marks on the text block edge. Pages clean and bright.

Author(s):
Steven J Miller & Ramin Takloo-Bighash
Condition:
Used: very good
Dimensions:
16.4 x 24.1 x 3.8
Edition:
2006
Format:
Hardback
ISBN-10:
0691120609
ISBN-13:
9780691120607
Number of pages:
503
Publisher:
Princeton University Press
Title:
An Invitation to Modern Number Theory

Delivery & returns

This item will be dispatched to UK addresses via second class post within 2 working days of receipt of your order. Standard UK delivery is £3.95 per order, so you're only charged once no matter how many items you have in your basket. Any additional courier charges will be applied at checkout as they vary depending on delivery address.

This item will be dispatched to UK addresses via second class post within 2 working days of receipt of your order. Standard UK delivery is currently free, no matter how many items you have in your basket. Any additional courier charges will be applied at checkout as they vary depending on delivery address.

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