An Invitation to Modern Number Theory

4.33 avg rating
( 3 ratings by Goodreads )
 
9780691120607: An Invitation to Modern Number Theory
View all copies of this ISBN edition:
 
 

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.

"synopsis" may belong to another edition of this title.

From the Back Cover:

"The book provides a much-needed introduction to modern number theory that emphasizes analytic number theory. It should serve remarkably well as an advanced undergraduate textbook and its latter parts would be suitable for a beginning graduate course. Some of the material covered, such as the circle method and random matrix theory, is not readily available elsewhere in book form. These topics provide terrific examples of areas in number theory of great current interest that can be penetrated by students. I would seriously consider using this book in my own classes and recommend it with enthusiasm for highly motivated students."--William Duke, University of California, Los Angeles

"Having this selection of material available in essentially self-contained form is fantastic. Reading the book (or taking a class based on it) might easily decide the future endeavors of many a neophyte mathematician. I have yet to discover a clearer exposition of the works of the circle method. The inclusion of exercises and, especially, of problems for further research and theoretical or numerical exploration is extremely valuable. I would dare to compare the book to Hardy and Wright's classic An Introduction to the Theory of Numbers in that Miller and Takloo-Bighash expose readers to the lively work of number theory, to its proofs, ideas, and methods, assuming only a very modest background."--Eduardo Dueñez, University of Texas, San Antonio

About the Author:

Steven J. Miller is an Assistant Professor of Mathematics at Brown University. Ramin Takloo-Bighash is an Assistant Professor of Mathematics at Princeton University.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9789380250373: Invitation to Modern Number Theory (Texts and Readings in Mathematics, Volume 61)

Featured Edition

ISBN 10:  9380250371 ISBN 13:  9789380250373
Publisher: Hindustan Book Agency, 2012
Softcover

Top Search Results from the AbeBooks Marketplace

International Edition
International Edition

1.

Steven J. Miller , Ramin Takloo-Bighash
ISBN 10: 0691120609 ISBN 13: 9780691120607
New Paperback Quantity Available: 5
International Edition
Seller:
PRIORITY BOOKS
(Springfield, VA, U.S.A.)
Rating
[?]

Book Description Paperback. Condition: New. Softcover Book, New Condition, Fast Shipping. Ready in Stock. 1st Edition. [Please Read Carefully Before Buying], This Is An International Edition. Printed In Black and White. 519 Pages, Book Cover And ISBN No May Be Different From US Edition. Restricted Sales Disclaimer Wordings Not For Sales In USA And Canada May Be Printed On The Cover Of The Book. Standard Shipping 7-14 Business Days. Expedited Shiping 4-8 Business Days. ***WE DO NOT ENTERTAIN BULK ORDERS.*** The Books May Be Ship From Overseas For Inventory Purpose. Seller Inventory # 523016

More information about this seller | Contact this seller

Buy New
US$ 26.98
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

2.

Steven J. Miller , Ramin Takloo-Bighash
ISBN 10: 0691120609 ISBN 13: 9780691120607
New Paperback Quantity Available: 1
International Edition
Seller:
Nick Book House
(Fresno, CA, U.S.A.)
Rating
[?]

Book Description Paperback. Condition: New. New, Softcover International Edition, Printed in Black and White, Different ISBN, Same Content As US edition, Book Cover may be Different, in English Language. Seller Inventory # 22478

More information about this seller | Contact this seller

Buy New
US$ 28.08
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

3.

Steven Miller; Ramin Takloo-Bighash
ISBN 10: 0691120609 ISBN 13: 9780691120607
New Quantity Available: 18
Seller:
Books-FYI, Inc.
(Cadiz, KY, U.S.A.)
Rating
[?]

Book Description Condition: New. Seller Inventory # 23MA360113OQ

More information about this seller | Contact this seller

Buy New
US$ 43.26
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

4.

Steven J. Miller, Ramin Takloo-Bighash
Published by Princeton University Press (2006)
ISBN 10: 0691120609 ISBN 13: 9780691120607
New Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Princeton University Press, 2006. Hardcover. Condition: New. Seller Inventory # DADAX0691120609

More information about this seller | Contact this seller

Buy New
US$ 60.00
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

5.

Steven Miller; Ramin Takloo-Bighash
Published by Princeton University Press (2006)
ISBN 10: 0691120609 ISBN 13: 9780691120607
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description Princeton University Press, 2006. Condition: New. book. Seller Inventory # M0691120609

More information about this seller | Contact this seller

Buy New
US$ 71.04
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

6.

Steven J. Miller
Published by Princeton University Press 2006-03-06 (2006)
ISBN 10: 0691120609 ISBN 13: 9780691120607
New Hardcover Quantity Available: 1
Seller:
Lost Books
(AUSTIN, TX, U.S.A.)
Rating
[?]

Book Description Princeton University Press 2006-03-06, 2006. Hardcover. Condition: New. 0691120609. Seller Inventory # 555375

More information about this seller | Contact this seller

Buy New
US$ 72.94
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

7.

Miller, Steven J.
Published by Princeton University Press (2006)
ISBN 10: 0691120609 ISBN 13: 9780691120607
New Quantity Available: 5
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Princeton University Press, 2006. HRD. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # WP-9780691120607

More information about this seller | Contact this seller

Buy New
US$ 65.90
Convert Currency

Add to Basket

Shipping: US$ 11.86
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

Miller, Steven, J.;Takloo-Bighash, Ramin
Published by Ewing, New Jersey, U.S.A.: Princeton Univ Pr (2006)
ISBN 10: 0691120609 ISBN 13: 9780691120607
New Hardcover Quantity Available: 5
Seller:
LINDABOOK
(Taipei, TP, Taiwan)
Rating
[?]

Book Description Ewing, New Jersey, U.S.A.: Princeton Univ Pr, 2006. Hardcover. Condition: New. Ship out 1-2 business day,Brand new,US edition, Free tracking number usually 2-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia,k. Seller Inventory # ABE-7576548591

More information about this seller | Contact this seller

Buy New
US$ 68.99
Convert Currency

Add to Basket

Shipping: US$ 9.90
From Taiwan to U.S.A.
Destination, Rates & Speeds

9.

Steven J. Miller, Ramin Takloo-Bighash
Published by Princeton University Press, United States (2006)
ISBN 10: 0691120609 ISBN 13: 9780691120607
New Hardcover Quantity Available: 1
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description Princeton University Press, United States, 2006. Hardback. Condition: New. Language: English . Brand New Book. 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. Seller Inventory # AAH9780691120607

More information about this seller | Contact this seller

Buy New
US$ 85.13
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Steven J. Miller, Ramin Takloo-Bighash
Published by Princeton University Press, United States (2006)
ISBN 10: 0691120609 ISBN 13: 9780691120607
New Hardcover Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Princeton University Press, United States, 2006. Hardback. Condition: New. Language: English . Brand New Book. 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. Seller Inventory # AAH9780691120607

More information about this seller | Contact this seller

Buy New
US$ 86.96
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book