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History of the Theory of Numbers, Vol. 3: Quadratic and Higher Forms

Leonard E. Dickson
Publisher: 
Dover Publications
Publication Date: 
2005
Number of Pages: 
313
Format: 
Paperback
Price: 
16.95
ISBN: 
0486442349
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee considers this book essential for undergraduate mathematics libraries.

[Reviewed by
Fernando Q. Gouvêa
, on
03/22/2007
]

See the review on the page for the first volume in this set.

 


 

I. Reduction and Equivalence of Binary Quadratic Forms, Representation of Integers
II. Explicit Values of x, y
III. Composition of Binary Quadratic Forms
IV. Orders and Genera; Their Composition
V. Irregular Determinants
VI. Number of Classes of Binary Quadratic Forms With Integral Coefficients
VII. Binary Quadratic Forms Whose Coefficients Are Complete Integers or Integers of a Field
VIII. Number of Classes of Binary Quadratic Forms with Complex Integral Coefficients
IX. Ternary Quadratic Forms
X. Quaternary Quadratic Forms
XI. Quadratic Forms in n Variables
XII. Binary Cubic Forms
XIII. Cubic Forms in Three or More Variables
XIV. Forms of Degree n>4
XV. Binary Hermitian Forms
XVI. Hermitian Forms in n Variables and Their Conjugates
XVII. Bilinear Forms, Matrices, Linear Substitutions
XVIII. Representation by Polynomials Modulo p
XIX. Congruencial Theory of Forms
Indexes

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