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A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7)
Jean-Pierre Serre
€ 77.66
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Description for A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7)
Hardcover. A modern introduction to three areas of number theory: quadratic forms, Dirichlet's density theorem and modular forms. ".. Accessible to graduate or even undergraduate students, yet even the advanced mathematician will enjoy reading it." - American Scientist. Series: Graduate Texts in Mathematics. Num Pages: 118 pages, biography. BIC Classification: PB. Category: (UU) Undergraduate. Dimension: 242 x 165 x 15. Weight in Grams: 358.
This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant +/- I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses analytic methods (holomor- phic functions). Chapter VI gives the proof of the theorem on ... Read more
This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant +/- I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses analytic methods (holomor- phic functions). Chapter VI gives the proof of the theorem on ... Read more
Product Details
Publisher
Springer
Format
Hardback
Publication date
1996
Series
Graduate Texts in Mathematics
Condition
New
Number of Pages
119
Place of Publication
New York, NY, United States
ISBN
9780387900407
SKU
V9780387900407
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7)
The book is a showcase of how some results in classical number theory (the Arithmetic of the title) can be derived quickly using abstract algebra. ... There are a reasonable number of worked examples, and they are very well-chosen. ... this book will expand your horizons, but you should already have a good knowledge of algebra and of classical number ... Read more