Title:
History of the theory of numbers
Personal Author:
Publication Information:
Bronx, N.Y. : Chelsea, 1966
ISBN:
9780828400862
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000001682578 | QA241 D53 1966 | Open Access Book | Book | Searching... |
Searching... | 30000001682586 | QA241 D53 1966 | Open Access Book | Book | Searching... |
Searching... | 30000001682594 | QA241 D53 1966 | Open Access Book | Book | Searching... |
On Order
Table of Contents
| Part 1 Divisibility and Primality: Perfect, multiply perfect, and amicable numbers |
| Formulas for the number and sum of divisors, problems of Fermat and Wallis |
| Fermat's and Wilson's theorems, generalizations and converses |
| symmetric functions of $1, 2, \dots, p-1$, modulo $p$ Residue of $(u^{{p-1}}-1)/p$ modulo $p$ |
| Euler's $\phi$-function, generalizations |
| Farey series Periodic decimal fractions; periodic fractions; factors of $10^{{n}}\pm 1$ |
| Primitive roots, exponents, indices, binomial congruences |
| Higher congruences Divisibility of factorials and multinomial coefficients |
| Sum and number of divisors Miscellaneous theorems on divisibility, greatest common divisor, least common multiple |
| Criteria for divisibility by a given number Factor tables, lists of primes |
| Methods of factoring Fermat numbers $F_{{n}}=2^{{2^n}}+1$ Factors of $a^{{n}}\pm b^{{n}}$ Recurring series |
| Lucas' $u_{{n}}, v_{{n}}$ Theory of prime numbers Inversion of functions; Mobius' function $\mu(n)$ |
| numerical integrals and derivatives Properties of the digits of numbers |
| Author index |
| Subject index |
| Part 2 Diophantine Analysis: Polygonal, pyramidal and figurate numbers Linear diophantine equations and congruences |
| Partitions Rational right triangles Triangles, quadrilaterals, and tetrahedra |
| Sum of two squares Sum of three squares |
| Sum of four squares |
| Sum of $n$ squares Number of solutions of quadratic congruences in $n$ unknowns Liouville's series of eighteen articles |
| Pell equation; $ax^2 + bx +c$ made a square Further single equations of the second degree |
| Squares in arithmetical or geometrical progression |
| Two or more linear functions made squares |
| Two quadratic functions of one or two unknowns made squares |
| Systems of two equations of degree two |
| Three or more quadratic functions of one or two unknowns made squares |
| Systems of three or more equations of degree two in three or more unknowns |
| Quadratic form made an $n$th power Equations of degree three Equations of degree four Equations of degree $n$ |
| Sets of integers with equal sums of like powers |
| Waring's problem and related results Fermat's last theorem, $ax^{{r}}+ by^{{s}}= cz^{{t}}$, and the congruence $x^n + y^n\equiv z^n\pmod p$ |
| Author index |
| Subject index |
| Part 3 Quadratic and Higher Forms: Reduction and equivalence of binary quadratic forms, representation of integers |
| Explicit values of $x, y$ in $x^2 +\Delta y^2 =g$ Composition of binary quadratic forms |
| Orders and genera; their composition Irregular determinants |
| Number of classes of binary quadratic forms with integral coefficients |
| Binary quadratic forms whose coefficients are complex integers or integers of a field |
| Number of classes of binary quadratic forms with complex integral coefficients |
| Ternary quadratic forms Quaternary quadratic forms Quadratic forms in $n$ variables |
| Binary cubic forms Cubic forms in three or more variables |
| Forms of degree $n\geqq 4$ Binary Hermitian forms Hermitian forms in $n$ variables and their conjugates |
| Bilinear forms, matrices, linear substitutions Representation by polynomials modulo $p$ |
| Congruencial theory of forms |
| Author index |
| Subject Index |
