[PDF.32or] An Invitation to Arithmetic Geometry (Graduate Studies in Mathematics, Vol 9) GSM/9

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

[PDF.du53] An Invitation to Arithmetic Geometry (Graduate Studies in Mathematics, Vol 9) GSM/9

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 | #1655116 in Books |  American Mathematical Society |  1996-02-22 |  1996-02-22 | Original language:English | PDF # 1 |  10.50 x7.50 x1.00l,2.05 | File type: PDF | 397 pages

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||17 of 17 people found the following review helpful.| Excellent|By Dr. Lee D. Carlson|Arithmetic geometry, a subject of vast importance both in mathematics and in applications such as cryptography and telecommunications is defined in this book as essentially the study of the solutions of polynomial equations in n variables with coefficients drawn from a ring, where this ring is typically the integers, the rational numbers, or th| |"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,

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 o...

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