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Primes in the Form X^2 + Ny^2: Fermat, Class Field Theory, and Complex Multiplication, With Solutions - Brossura
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"The goal of the new edition of Primes of the Form x2 +ny2 is to make this wonderful part of number theory available to readers in a form especially suited to self-study, mainly because complete solutions to all exercises are included"--
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Primes of the Form $x^2 + ny^2$: Fermat, Class Field Theory, and Complex Multiplication. Third Edition with Solutions
Editore:
American Mathematical Society, 2022
ISBN 10: 1470470284
ISBN 13: 9781470470289
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Condizione: New. 2022. 3rd Edition. Paperback. . . . . . Codice articolo V9781470470289
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Primes of the Form $x^2 + ny^2$ Fermat, Class Field Theory, and Complex Multiplication. Third Edition with Solutions
Editore:
American Mathematical Society, 2022
ISBN 10: 1470470284
ISBN 13: 9781470470289
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Primes of the Form $x^2 + ny^2$: Fermat, Class Field Theory, and Complex Multiplication. Third Edition with Solutions
Editore:
American Mathematical Society, 2022
ISBN 10: 1470470284
ISBN 13: 9781470470289
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Da: Kennys Bookstore, Olney, MD, U.S.A.
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Condizione: New. 2022. 3rd Edition. Paperback. . . . . . Books ship from the US and Ireland. Codice articolo V9781470470289
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Primes of the Form $x^2 + Ny^2$
Editore:
American Mathematical Society, US, 2022
ISBN 10: 1470470284
ISBN 13: 9781470470289
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Paperback
Da: Rarewaves.com UK, London, Regno Unito
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Paperback. Condizione: New. 3rd. This book studies when a prime $p$ can be written in the form $x^{2} + ny^{2}$. It begins at an elementary level with results of Fermat and Euler and then discusses the work of Lagrange, Legendre and Gauss on quadratic reciprocity and the genus theory of quadratic forms. After exploring cubic and biquadratic reciprocity, the pace quickens with the introduction of algebraic number fields and class field theory. This leads to the concept of ring class field and a complete but abstract solution of $p = x^{2} + ny^{2}$. To make things more concrete, the book introduces complex multiplication and modular functions to give a constructive solution. The book ends with a discussion of elliptic curves and Shimura reciprocity. Along the way the reader will encounter some compelling history and marvelous formulas, together with a complete solution of the class number one problem for imaginary quadratic fields.The book is accessible to readers with modest backgrounds in number theory. In the third edition, the numerous exercises have been thoroughly checked and revised, and as a special feature, complete solutions are included. This makes the book especially attractive to readers who want to get an active knowledge of this wonderful part of mathematics. Codice articolo LU-9781470470289
Quantità: 3 disponibili
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Primes of the Form $x^2 + ny^2$ Fermat, Class Field Theory, and Complex Multiplication. Third Edition with Solutions
Da: Revaluation Books, Exeter, Regno Unito
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Paperback. Condizione: Brand New. 3rd edition. 542 pages. 9.96x7.05x1.14 inches. In Stock. Codice articolo __1470470284
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Primes of the Form $x^2 + Ny^2$
Da: PBShop.store UK, Fairford, GLOS, Regno Unito
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo FW-9781470470289
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Primes of the Form $x^2 + ny^2$: Fermat, Class Field Theory, and Complex Multiplication. Third Edition with Solutions
Editore:
American Mathematical Society, 2022
ISBN 10: 1470470284
ISBN 13: 9781470470289
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Da: THE SAINT BOOKSTORE, Southport, Regno Unito
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Paperback / softback. Condizione: New. New copy - Usually dispatched within 4 working days. 209. Codice articolo B9781470470289
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Primes in the Form X^2 + Ny^2 : Fermat, Class Field Theory, and Complex Multiplication, With Solutions
Editore:
American Mathematical Society, 2022
ISBN 10: 1470470284
ISBN 13: 9781470470289
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Da: GreatBookPricesUK, Woodford Green, Regno Unito
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Condizione: New. Codice articolo 44845041-n
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Primes of the Form $x^2 + Ny^2$
Editore:
American Mathematical Society, US, 2022
ISBN 10: 1470470284
ISBN 13: 9781470470289
Nuovo
Paperback
Da: Rarewaves.com USA, London, LONDO, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: New. 3rd. This book studies when a prime $p$ can be written in the form $x^{2} + ny^{2}$. It begins at an elementary level with results of Fermat and Euler and then discusses the work of Lagrange, Legendre and Gauss on quadratic reciprocity and the genus theory of quadratic forms. After exploring cubic and biquadratic reciprocity, the pace quickens with the introduction of algebraic number fields and class field theory. This leads to the concept of ring class field and a complete but abstract solution of $p = x^{2} + ny^{2}$. To make things more concrete, the book introduces complex multiplication and modular functions to give a constructive solution. The book ends with a discussion of elliptic curves and Shimura reciprocity. Along the way the reader will encounter some compelling history and marvelous formulas, together with a complete solution of the class number one problem for imaginary quadratic fields.The book is accessible to readers with modest backgrounds in number theory. In the third edition, the numerous exercises have been thoroughly checked and revised, and as a special feature, complete solutions are included. This makes the book especially attractive to readers who want to get an active knowledge of this wonderful part of mathematics. Codice articolo LU-9781470470289
Quantità: 3 disponibili
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Primes of the Form X^2 + Ny^2: Fermat, Class Field Theory, and Complex Multiplication, With Solutions (Ams Chelsea Publishing, 387)
Editore:
American Mathematical Society, 2022
ISBN 10: 1470470284
ISBN 13: 9781470470289
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Da: Majestic Books, Hounslow, Regno Unito
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Condizione: New. Codice articolo 401287570
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