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

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 recommends this book for acquisition by 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