Auxiliary Polynomials in Number Theory: Cambridge Tracts in Mathematics, cartea 207
Autor David Masseren Limba Engleză Hardback – 20 iul 2016
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Specificații
ISBN-13: 9781107061576
ISBN-10: 1107061571
Pagini: 368
Ilustrații: 700 exercises
Dimensiuni: 158 x 236 x 28 mm
Greutate: 0.71 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics
Locul publicării:New York, United States
ISBN-10: 1107061571
Pagini: 368
Ilustrații: 700 exercises
Dimensiuni: 158 x 236 x 28 mm
Greutate: 0.71 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics
Locul publicării:New York, United States
Cuprins
Introduction; 1. Prologue; 2. Irrationality I; 3. Irrationality II - Mahler's method; 4. Diophantine equations - Runge's method; 5. Irreducibility; 6. Elliptic curves - Stepanov's method; 7. Exponential sums; 8. Irrationality measures I - Mahler; 9. Integer-valued entire functions I - Pólya; 10. Integer-valued entire functions II - Gramain; 11. Transcendence I - Mahler; 12. Irrationality measures II - Thue; 13. Transcendence II - Hermite–Lindemann; 14. Heights; 15. Equidistribution - Bilu; 16. Height lower bounds - Dobrowolski; 17. Height upper bounds; 18. Counting - Bombieri–Pila; 19. Transcendence III - Gelfond–Schneider–Lang; 20. Elliptic functions; 21. Modular functions; 22. Algebraic independence; Appendix: Néron's square root; References; Index.
Recenzii
'Several features of this book are original. First of all: the topic … Next, thanks to the unique style of the author, this book offers a pleasant reading; a number of nice jokes enable the reader to have a good time while learning high level serious mathematic … This book includes a large number of statements, proofs, ideas, problem which will be of great value for the specialists; but it should interest also any mathematician, including students, who wish to expand their knowledge and see a superb example of a topic having an surprising number of different applications in several directions.' Bulletin of the European Mathematical Society
'Instead of aiming for a polished presentation the author usually starts each chapter with simple examples and insights. This is one the book's most attractive features and could well entice students into studying the material covered.' C. Baxa, Monatshefte für Mathematik
'Instead of aiming for a polished presentation the author usually starts each chapter with simple examples and insights. This is one the book's most attractive features and could well entice students into studying the material covered.' C. Baxa, Monatshefte für Mathematik
Notă biografică
Descriere
A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.