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Number Theory
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Number Theory Paperback - 1994

by George E. Andrews

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Reader reviews for Number Theory

From the publisher

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 topic.
In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.
Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.
Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated.

Details

  • Title Number Theory
  • Author George E. Andrews
  • Binding Paperback
  • Edition [ Edition: first
  • Pages 288
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications, New York
  • Publication date 1994-10-12
  • ISBN 9780486682525 / 0486682528
  • Weight 0.75 lbs (0.34 kg)
  • Dimensions 8.4 x 5.5 x 0.7 in (21.34 x 13.97 x 1.78 cm)
  • Category Mathematics
  • Library of Congress subjects Number theory
  • Library of Congress Catalogue Number 94005243
  • Dewey Decimal Code 512.7

About the author

The Holy Grail of Number Theory
George E. Andrews, Evan Pugh Professor of Mathematics at Pennsylvania State University, author of the well-established text Number Theory (first published by Saunders in 1971 and reprinted by Dover in 1994), has led an active career discovering fascinating phenomena in his chosen field -- number theory. Perhaps his greatest discovery, however, was not solely one in the intellectual realm but in the physical world as well.

In 1975, on a visit to Trinity College in Cambridge to study the papers of the late mathematician George N. Watson, Andrews found what turned out to be one of the actual Holy Grails of number theory, the document that became known as the "Lost Notebook" of the great Indian mathematician Srinivasa Ramanujan. It happened that the previously unknown notebook thus discovered included an immense amount of Ramanujan's original work bearing on one of Andrews' main mathematical preoccupations -- mock theta functions. Collaborating with colleague Bruce C. Berndt of the University of Illinois at Urbana-Champaign, Andrews has since published the first two of a planned three-volume sequence based on Ramanujan's Lost Notebook, and will see the project completed with the appearance of the third volume in the next few years.

In the Author's Own Words:
"It seems to me that there's this grand mathematical world out there, and I am wandering through it and discovering fascinating phenomena that often totally surprise me. I do not think of mathematics as invented but rather discovered." -- George E. Andrews

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Number Theory (Dover Books on Mathematics)

Number Theory (Dover Books on Mathematics)

by George E. Andrews

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Dover Publications, 1994-10-11. paperback. Very Good. 5x0x8. This Book is in Very Good condition. See our picture for exact item you will receive. All items ship within 24 hours. Packaging is 100% Recyclable. Most items purchased from Charitable organizations. A portion of each sale is also donated to a monthly charity, check your package for this month's charity. Reuse-Recycle-Rebook!
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Number Theory (Dover Books on Mathematics)
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Number Theory (Dover Books on Mathematics)

by George E. Andrews

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Paperback
ISBN 10 / ISBN 13
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Dover, 1994-10-12. Revised ed. paperback. Used: Good. 5.50x0.75x8.75. Buy with confidence. Excellent Customer Service & Return policy.
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Number Theory (Dover Books on Mathematics)
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Number Theory (Dover Books on Mathematics)

by George E. Andrews

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Number Theory (Dover Books on Mathematics)
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Number Theory (Dover Books on Mathematics)

by George E. Andrews

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ISBN 10 / ISBN 13
9780486682525 / 0486682528
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Dover Publications, 1994-10-11. Paperback. Very Good/None as issued. 5x0x8. Clean, unmarked text. Light wear to corner tips of covers and some pages. Cover is glossy with light bends at bottom front corner and a partial crease on front near spine from being opened. Binding is tight and square; no creases to spine. 2017 printing. Books that sell for $9 or more ship in a box; under $9 in a bubble mailer. Expedited and international orders may ship in a flat rate envelope rather than a box due to cost constraints. All US-addressed items ship with complimentary delivery confirmation.
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Number Theory
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Number Theory (Dover Books on Mathematics) [Paperback] George E. Andrews
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Number Theory (Dover Books on Mathematics) [Paperback] George E. Andrews

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Number Theory (Dover Books on Mathematics)
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Number Theory (Dover Books on Mathematics) [Paperback] George E. Andrews
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Number Theory (Dover Books on Mathematics) [Paperback] George E. Andrews

by Andrews, George E

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Number Theory (Dover Books on Mathematics)
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Number Theory (Dover Books on Mathematics)

by George E. Andrews

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Paperback
ISBN 10 / ISBN 13
9780486682525 / 0486682528
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Dover, 1994-10-12. Revised ed. paperback. New. 5.50x0.75x8.75. Buy with confidence. Excellent Customer Service & Return policy.
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