Author: Samuel Hamilton
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 280

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Author: Marc Hindry
Publisher: Springer Science & Business Media
ISBN: 1447121317
Category : Mathematics
Languages : en
Pages : 334

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Book Description
Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, complex analysis and harmonic analysis. More recently, it has made a spectacular appearance in the field of theoretical computer science and in questions of communication, cryptography and error-correcting codes. Providing an elementary introduction to the central topics in number theory, this book spans multiple areas of research. The first part corresponds to an advanced undergraduate course. All of the statements given in this part are of course accompanied by their proofs, with perhaps the exception of some results appearing at the end of the chapters. A copious list of exercises, of varying difficulty, are also included here. The second part is of a higher level and is relevant for the first year of graduate school. It contains an introduction to elliptic curves and a chapter entitled “Developments and Open Problems”, which introduces and brings together various themes oriented toward ongoing mathematical research. Given the multifaceted nature of number theory, the primary aims of this book are to: - provide an overview of the various forms of mathematics useful for studying numbers - demonstrate the necessity of deep and classical themes such as Gauss sums - highlight the role that arithmetic plays in modern applied mathematics - include recent proofs such as the polynomial primality algorithm - approach subjects of contemporary research such as elliptic curves - illustrate the beauty of arithmetic The prerequisites for this text are undergraduate level algebra and a little topology of Rn. It will be of use to undergraduates, graduates and phd students, and may also appeal to professional mathematicians as a reference text.

Author: Paul Lockhart
Publisher: Belknap Press
ISBN: 067423751X
Category : Mathematics
Languages : en
Pages : 232

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Book Description
“Inspiring and informative...deserves to be widely read.” —Wall Street Journal “This fun book offers a philosophical take on number systems and revels in the beauty of math.” —Science News Because we have ten fingers, grouping by ten seems natural, but twelve would be better for divisibility, and eight is well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages. Paul Lockhart presents arithmetic not as rote manipulation of numbers—a practical if mundane branch of knowledge best suited for filling out tax forms—but as a fascinating, sometimes surprising intellectual craft that arises from our desire to add, divide, and multiply important things. Passionate and entertaining, Arithmetic invites us to experience the beauty of mathematics through the eyes of a beguiling teacher. “A nuanced understanding of working with numbers, gently connecting procedures that we once learned by rote with intuitions long since muddled by education...Lockhart presents arithmetic as a pleasurable pastime, and describes it as a craft like knitting.” —Jonathon Keats, New Scientist “What are numbers, how did they arise, why did our ancestors invent them, and how did they represent them? They are, after all, one of humankind’s most brilliant inventions, arguably having greater impact on our lives than the wheel. Lockhart recounts their fascinating story...A wonderful book.” —Keith Devlin, author of Finding Fibonacci

Author: George Albert Wentworth
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 314

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Author: Charles H. Gleason
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 536

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Author: Audre Lorde
Publisher: W. W. Norton
ISBN: 9780393311709
Category : Poetry
Languages : en
Pages : 72

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Book Description
A final volume of poetry written during the last five years of the 1991 New York State Poet's life explores her international concerns. By the winner of the Manhattan Borough President's Award for Excellence in the Arts. Reprint.

Author: Catherine Goldstein
Publisher: Springer Science & Business Media
ISBN: 3540347208
Category : Mathematics
Languages : en
Pages : 579

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Book Description
Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.

Author: Thomas Alexander
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 148

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Author: Edwin Pliny Seaver
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 310

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Author: Frank H. Hall
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 134

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Book Description