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Number Theory


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Triangular Arrays with Applications
Triangular Arrays with Applications
by Thomas Koshy
Publisher Comments
Triangular arrays are a unifying thread throughout various areas of discrete mathematics such as number theory and combinatorics. They can be used to sharpen a variety of mathematical skills and tools, such as pattern recognition, conjecturing, proof... (read more)

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Friendly Intro. To Number Theory (4TH 13 Edition)
Friendly Intro. To Number Theory (4TH 13 Edition)
by Joseph H. Silverman
About the Author
Joseph H. Silverman is a Professor of Mathematics at Brown University. He received his Sc.B. at Brown and his Ph.D. at Harvard, after which he held positions at MIT and Boston University before joining the Brown faculty in 1988. He has published more... (read more)

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Abstract Analytic Number Theory (Dover Books on Mathematics)
Abstract Analytic Number Theory (Dover Books on Mathematics)
by John Knopfmacher
Publisher Comments
"This book is well-written and the bibliography excellent," declared Mathematical Reviews of John Knopfmacher's innovative study. The three-part treatment applies classical analytic number theory to a wide variety of mathematical subjects not usually... (read more)

Available May 2015
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Excursions in Number Theory (88 Edition)
Excursions in Number Theory (88 Edition)
by C. Stanley Ogilvy
Publisher Comments
Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly... (read more)

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Number Theory (71 Edition)
Number Theory (71 Edition)
by George E. Andrews
Publisher Comments
Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the... (read more)

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A Comprehensive Treatment of Q-Calculus
A Comprehensive Treatment of Q-Calculus
by Thomas Ernst
Publisher Comments
To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This... (read more)

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Canadian Mathematical Society Series of Monographs and Advan #21: Gauss and Jacobi Sums
Canadian Mathematical Society Series of Monographs and Advan #21: Gauss and Jacobi Sums
by Bruce Berndt
Publisher Comments
Devised in the 19th century, Gauss and Jacobi Sums are classical formulas that form the basis for contemporary research in many of today's sciences. This book offers readers a solid grounding on the origin of these abstract, general theories. Though the... (read more)

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Vorlesungen Uber Zahlentheorie (Cambridge Library Collection - Mathematics)
Vorlesungen Uber Zahlentheorie (Cambridge Library Collection - Mathematics)
by Peter Gustav Lejeune Dirichlet
Publisher Comments
Peter Gustav Lejeune Dirichlet (1805 59) may be considered the father of modern number theory. He studied in Paris, coming under the influence of mathematicians like Fourier and Legendre, and then taught at Berlin and G ttingen universities, where he was... (read more)

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Contributions in Mathematical and Computational Sciences #2: The Arithmetic of Fundamental Groups: Pia 2010
Contributions in Mathematical and Computational Sciences #2: The Arithmetic of Fundamental Groups: Pia 2010
by Jakob (edt) Stix
Publisher Comments
In the more than 100 years since the fundamental group was first introduced by Henri Poincaré it has evolved to play an important role in different areas of mathematics. Originally conceived as part of algebraic topology, this essential concept and its... (read more)

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Single Digits: In Praise of Small Numbers
Single Digits: In Praise of Small Numbers
by Marc Chamberland
Publisher Comments
"A veritable potpourri of mathematical factoids, Single Digits will provide you with conversational ammunition for all manner of nerdy gatherings."--Henry Reich, creator of MinutePhysics and MinuteEarth "Dispensing incisive, brief expositions of... (read more)

Available June 2015
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Lecture Notes in Mathematics #1968: Endoscopy for Gsp(4) and the Cohomology of Siegel Modular Threefolds
Lecture Notes in Mathematics #1968: Endoscopy for Gsp(4) and the Cohomology of Siegel Modular Threefolds
by Rainer Weissauer
Publisher Comments
The geometry of modular curves and the structure of their cohomology groups have been a rich source for various number-theoretical applications over the last decades. Similar applications may be expected from the arithmetic of higher dimensional modular... (read more)

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London Mathematical Society Lecture Note Series #317: Advances in Elliptic Curve Cryptography
London Mathematical Society Lecture Note Series #317: Advances in Elliptic Curve Cryptography
by Gadiel Seroussi
Publisher Comments
This second volume addresses tremendous progress in elliptic curve cryptography since the first volume.... (read more)

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Number Theory and Its History (76 Edition)
Number Theory and Its History (76 Edition)
by Oystein Ore
Publisher Comments
"A very valuable addition to any mathematical library." — School Science and Math This book, written by a prominent mathematician and Sterling Professor of Mathematics at Yale, differs from most other books on number theory in two important... (read more)

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de Gruyter Studies in Mathematics #41: Algebraic Graph Theory: Morphisms, Monoids and Matrices
de Gruyter Studies in Mathematics #41: Algebraic Graph Theory: Morphisms, Monoids and Matrices
by Ulrich Knauer
Book News Annotation
Knauer presents lectures he has delivered for graduate students of mathematics, though other majors and advanced undergraduates might find them useful as well. Homomorphisms, especially endomorphisms, form a common thread, he says, as well as the... (read more)

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Elementary Number Theory in Nine Chapters
Elementary Number Theory in Nine Chapters
by James J. Tattersall
Publisher Comments
A second edition textbook intended to serve as a one-semester introductory course in number theory.... (read more)

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P-Adic Methods and Their Applications (Oxford Science Publications)
P-Adic Methods and Their Applications (Oxford Science Publications)
by Andrew J. Baker
Publisher Comments
The p-adic numbers and more generally local fields have become increasingly important in a wide range of mathematical disciplines. They are now seen as essential tools in many areas, including number theory, algebraic geometry, group representation... (read more)

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Algebraic Patching (Springer Monographs in Mathematics)
Algebraic Patching (Springer Monographs in Mathematics)
by Moshe Jarden
Publisher Comments
Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of... (read more)

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Encyclopedia of Mathematics and Its Applications #125: The Hardy-Littlewood Method
Encyclopedia of Mathematics and Its Applications #125: The Hardy-Littlewood Method
by R. C. Vaughan
Publisher Comments
This second edition covers recent developments on Hardy-Littlewood method.... (read more)

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Publications of the Mathematical Society of Japan #11: Introduction to Arithmetic Theory of Automorphic Functions
Publications of the Mathematical Society of Japan #11: Introduction to Arithmetic Theory of Automorphic Functions
by Goro Shimura
Publisher Comments
The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular... (read more)

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Developments in Mathematics #10: Number Theory and Modular Forms: Papers in Memory of Robert A. Rankin
Developments in Mathematics #10: Number Theory and Modular Forms: Papers in Memory of Robert A. Rankin
by Bruce C. Berndt
Publisher Comments
Robert A. Rankin, one of the world's foremost authorities on modular forms and a founding editor of The Ramanujan Journal, died on January 27, 2001, at the age of 85. Rankin had broad interests and contributed fundamental papers in a wide variety of... (read more)

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