Number Theory: Volume I: Tools and Diophantine Equations: Tools and Diophantine Equations v. 1 (Graduate Texts in Mathematics)

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9780387499222: Number Theory: Volume I: Tools and Diophantine Equations: Tools and Diophantine Equations v. 1 (Graduate Texts in Mathematics)
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From the reviews:

“The book under review deals with Diophantine analysis from a number-theoretic point of view. … Each chapter ends with exercises, ranging from simple to quite challenging problems. The clarity of the exposition is the one we expect from the author of two highly successful books on computational number theory … and makes this volume a must-read for researchers in Diophantine analysis.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, October, 2013)

“This is the first volume of a highly impressive two-volume textbook on Diophantine analysis. … Readers are presented with an almost overwhelming amount of material. This … text book is bound to become an important reference for students and researchers alike.” (C. Baxa, Monatshefte für Mathematik, Vol. 157 (2), June, 2009)

"Cohen (Université Bordeaux I, France), an instant classic, uniquely bridges the gap between old-fashioned, naive treatments and the many modern books available that develop the tools just mentioned … . Summing Up: Recommended. … Upper-division undergraduates through faculty." (D. V. Feldman, CHOICE, Vol. 45 (5), January, 2008)

"Number Theory, is poised to fill the gap as a core text in number theory … . So, all in all, Henri Cohen’s … Number Theory are, to any mind, an amazing achievement. The coverage is thorough and generally all but encyclopedic, the exercises are good, some are excellent, some will keep even the best-prepared student busy for a long time, and the cultural level of the book … is very high." (Michael Berg, MathDL, July, 2007)

"The book under review deals with Diophantine analysis from a number-theoretic point of view. … The clarity of the exposition is the one we expect from the author of two highly successful books on computational number theory … and makes this volume a must-read for researchers in Diophantine analysis." (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1119 (21), 2007)

Críticas:

From the reviews:

"Number Theory, is poised to fill the gap as a core text in number theory … . So, all in all, Henri Cohen’s … Number Theory are, to any mind, an amazing achievement. The coverage is thorough and generally all but encyclopedic, the exercises are good, some are excellent, some will keep even the best-prepared student busy for a long time, and the cultural level of the book … is very high." (Michael Berg, MathDL, July, 2007)

"The book under review deals with Diophantine analysis from a number-theoretic point of view. … The clarity of the exposition is the one we expect from the author of two highly successful books on computational number theory … and makes this volume a must-read for researchers in Diophantine analysis." (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1119 (21), 2007)

"Cohen (Université Bordeaux I, France), an instant classic, uniquely bridges the gap between old-fashioned, naive treatments and the many modern books available that develop the tools just mentioned … . Summing Up: Recommended. … Upper-division undergraduates through faculty." (D. V. Feldman, CHOICE, Vol. 45 (5), January, 2008)

“This is the first volume of a highly impressive two-volume textbook on Diophantine analysis. … Readers are presented with an almost overwhelming amount of material. This … text book is bound to become an important reference for students and researchers alike.” (C. Baxa, Monatshefte für Mathematik, Vol. 157 (2), June, 2009)

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Henri Cohen
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ISBN 10: 0387499229 ISBN 13: 9780387499222
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Descripción Springer-Verlag New York Inc. 2007-05-23, New York, NY, 2007. hardback. Estado de conservación: New. Nº de ref. de la librería 9780387499222

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Descripción SPRINGER VERLAG GMBH. soft. Estado de conservación: New. The central theme of this book is the solution of Diophantine equations, i. e. , equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques. Nº de ref. de la librería 1199664

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Descripción Springer, 2007. Hardback. Estado de conservación: NEW. 9780387499222 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0273718

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Descripción Springer-Verlag New York Inc., United States, 2007. Hardback. Estado de conservación: New. 236 x 163 mm. Language: English . Brand New Book ***** Print on Demand *****.The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques. Nº de ref. de la librería APC9780387499222

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Henri Cohen
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Descripción Springer-Verlag New York Inc., United States, 2007. Hardback. Estado de conservación: New. 236 x 163 mm. Language: English . Brand New Book ***** Print on Demand *****. The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques. Nº de ref. de la librería APC9780387499222

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