An Invitation to Arithmetic Geometry (Graduate Studies in Mathematics, Vol 9) GSM/9

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9780821802670: An Invitation to Arithmetic Geometry (Graduate Studies in Mathematics, Vol 9) GSM/9

In this volume the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book. Extensive examples are given to illustrate each new concept, and many interesting exercises are given at the end of each chapter. Most of the important results in the one-dimensional case are proved, including Bombieri's proof of the Riemann Hypothesis for curves over a finite field. While the book is not intended to be an introduction to schemes, the author indicates how many of the geometric notions introduced in the book relate to schemes which will aid the reader who goes to the next level of this rich subject.

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"Extremely carefully written, masterfully thought out, and skillfully arranged introduction ... to the arithmetic of algebraic curves, on the one hand, and to the algebro-geometric aspects of number theory, on the other hand. Detailed discussions, full proofs, much effort at thorough motivations, a wealth of illustrating examples, numerous related exercises and problems, hints for further reading, and a rich bibliography characterize this text as an excellent guide for beginners in arithmetic geometry, just as an interesting reference and methodical inspiration for teachers of the subject ... a highly welcome addition to the existing literature." -- Zentralblatt fr Mathematik

"In order to come straight to the point: this book represents an excellent introduction to Algebraic Number Theory and to Algebraic Curves as well by viewing both theories as part of Commutative Algebra ... all proof are given in full detail and its concept as well thought-out." --Monatshefte fr Mathematik

"In order to come straight to the point: this book represents an excellent introduction to Algebraic Number Theory and to Algebraic Curves as well by viewing both theories as part of Commutative Algebra ... all proof are given in full detail and its concept as well thought-out." ---- Monatshefte für Mathematik

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Dino Lorenzini
Editorial: American Mathematical Society (1996)
ISBN 10: 0821802674 ISBN 13: 9780821802670
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Sequitur Books
(Boonsboro, MD, Estados Unidos de America)
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Descripción American Mathematical Society, 1996. Hardcover. Estado de conservación: New. Brand new. We distribute directly for the publisher. In this volume the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book. Extensive examples are given to illustrate each new concept, and many interesting exercises are given at the end of each chapter. Most of the important results in the one-dimensional case are proved, including Bombieri's proof of the Riemann Hypothesis for curves over a finite field. While the book is not intended to be an introduction to schemes, the author indicates how many of the geometric notions introduced in the book relate to schemes which will aid the reader who goes to the next level of this rich subject. Nº de ref. de la librería 1005120121

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Descripción American Mathematical Society. Estado de conservación: Brand New. Ships from USA. FREE domestic shipping. Nº de ref. de la librería 0821802674

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Descripción American Mathematical Society, United States, 1996. Hardback. Estado de conservación: New. Language: English . Brand New Book. In this volume the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book. Extensive examples are given to illustrate each new concept, and many interesting exercises are given at the end of each chapter. Most of the important results in the one-dimensional case are proved, including Bombieri s proof of the Riemann Hypothesis for curves over a finite field. While the book is not intended to be an introduction to schemes, the author indicates how many of the geometric notions introduced in the book relate to schemes which will aid the reader who goes to the next level of this rich subject. Nº de ref. de la librería AAN9780821802670

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Descripción American Mathematical Society, United States, 1996. Hardback. Estado de conservación: New. Language: English . Brand New Book. In this volume the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book. Extensive examples are given to illustrate each new concept, and many interesting exercises are given at the end of each chapter. Most of the important results in the one-dimensional case are proved, including Bombieri s proof of the Riemann Hypothesis for curves over a finite field. While the book is not intended to be an introduction to schemes, the author indicates how many of the geometric notions introduced in the book relate to schemes which will aid the reader who goes to the next level of this rich subject. Nº de ref. de la librería AAN9780821802670

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Descripción American Mathematical Society, 1996. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0821802674

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Descripción American Mathematical Society. Hardback. Estado de conservación: new. BRAND NEW, An Invitation to Arithmetic Geometry, Dino Lorenzini, In this volume the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book. Extensive examples are given to illustrate each new concept, and many interesting exercises are given at the end of each chapter. Most of the important results in the one-dimensional case are proved, including Bombieri's proof of the Riemann Hypothesis for curves over a finite field. While the book is not intended to be an introduction to schemes, the author indicates how many of the geometric notions introduced in the book relate to schemes which will aid the reader who goes to the next level of this rich subject. Nº de ref. de la librería B9780821802670

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Descripción American Mathematical Society, 1996. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0821802674

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Descripción American Mathematical Society, 1996. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110821802674

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Descripción Amer Mathematical Society, 1996. Hardcover. Estado de conservación: Brand New. 397 pages. 10.50x7.50x1.00 inches. In Stock. Nº de ref. de la librería __0821802674

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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808218026700000000

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