Answers to Exercises in Arithmetic PDF Download
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Author: Walter Bennett
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 22
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Author: Walter Bennett
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 22
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Author: George Albert Wentworth
Publisher:
ISBN:
Category :
Languages : en
Pages : 74
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Author: John ROBERTSON (Head Master at Upton Park School.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 64
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Author: Frederick Sparks
Publisher:
ISBN:
Category :
Languages : en
Pages : 460
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Author: Qing Liu
Publisher: Oxford University Press
ISBN: 0191547808
Category : Mathematics
Languages : en
Pages : 593
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Book Description
This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its application to the study of smooth projective curves over a field. Singular curves are treated through a detailed study of the Picard group. The second part starts with blowing-ups and desingularisation (embedded or not) of fibered surfaces over a Dedekind ring that leads on to intersection theory on arithmetic surfaces. Castelnuovo's criterion is proved and also the existence of the minimal regular model. This leads to the study of reduction of algebraic curves. The case of elliptic curves is studied in detail. The book concludes with the funadmental theorem of stable reduction of Deligne-Mumford. The book is essentially self-contained, including the necessary material on commutative algebra. The prerequisites are therefore few, and the book should suit a graduate student. It contains many examples and nearly 600 exercises.
Author: Robert Rawson
Publisher:
ISBN:
Category :
Languages : en
Pages : 52
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Author: Frederick Sparks
Publisher: Legare Street Press
ISBN: 9781021249067
Category :
Languages : en
Pages : 0
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Book Description
This is a clear and concise guide to arithmetic, designed specifically for students in elementary and middle schools. With detailed explanations, engaging examples, and helpful exercises, Frederick Sparks breaks down even the most complex arithmetic concepts, making them accessible to learners of all levels. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Benjamin Greenleaf
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 208
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Author: Henry Bartlett Maglathlin
Publisher:
ISBN:
Category :
Languages : en
Pages : 180
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Author: Henry Bartlett Maglathlin
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 148
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