First lessons in algebra : being an easy introduction to that science ; designated for the use of academies and common schools /

Mode of access: Internet.

First lessons in algebra : being an easy introduction to that science ; designated for the use of academies and common schools /

Mode of access: Internet.

First lessons in algebra : embracing the elements of the science /

Mode of access: Internet.

A collection of problems, designed to facilitate the application of algebra to geometry, and of the principles of natural philosophy to practical questions.

Mode of access: Internet.

Elements of algebra /

Mode of access: Internet.

Elements of algebra, being an abridgment of Day's Algebra, adapted to the capacities of the young, and the method of instruction, in schools and academies.

Mode of access: Internet.

An introduction to the elements of algebra, designed for the use of those who are acquainted only with the first principles of arithmetic.

"The selections ... are from the first English edition."--Advertisement.

Algebra, with Arithmetic and mensuration, from the Sanscrit of Brahmegupta and Bháscara.

The 12th and 18th chapters, Gaṇitādhyāya and Kuṭṭakādhyāya, of Brahmagupta's Brahmasiddhānta ; and the first two parts, Līlāvatī and Bījagaṇita, of Bhāskara's Siddhāntaśirḿanṇi.

An introduction to the algebra of quantics,

Mode of access: Internet.

Algebra; an elementary text-book, for the higher classes of secondary schools and for colleges.

Mode of access: Internet.

Logic and Boolean algebra.

Includes bibliography.

A treatise on infinitesimal calculus, containing differential and integral calculus, calculus of variations, applications to algebra and geometry, and analytical mechanics.

Vol. 3 and 4 form the author's Treatise on analytical mechanics.

Quantum doubles from a class of noncocommutative weak Hopf algebras

The concept of biperfect (noncocommutative) weak Hopf algebras is introduced and their properties are discussed. A new type of quasi-bicrossed products is constructed by means of weak Hopf skew-pairs of the weak Hopf algebras which are generalizations of the Hopf pairs introduced by Takeuchi. As a special case, the quantum double of a finite dimensional biperfect (noncocommutative) weak Hopf algebra is built. Examples of quantum doubles from a Clifford monoid as well as a noncommutative and noncocommutative weak Hopf algebra are given, generalizing quantum doubles from a group and a noncommutative and noncocommutative Hopf algebra, respectively. Moreover, some characterizations of quantum doubles of finite dimensional biperfect weak Hopf algebras are obtained. (C) 2004 American Institute of Physics.

Central elements of the elliptic Zn monodromy matrix algebra at roots of unity

The central elements of the algebra of monodromy matrices associated with the Z(n) R-matrix are studied. When the crossing parameter w takes a special rational value w = n/N, where N and n are positive coprime integers, the center is substantially larger than that in the generic case for which the quantum determinant provides the center. In the trigonometric limit, the situation corresponds to the quantum group at roots of unity. This is a higher rank generalization of the recent results by Belavin and Jimbo. (c) 2004 Elsevier B.V. All rights reserved.