modern algebra

[′mäd·ərn ′al·jə·brə]

(mathematics)

The study of algebraic systems such as groups, rings, modules, and fields.

References in periodicals archive ?

of Kansas) provides undergraduate mathematics majors and prospective high school mathematics teachers a one-semester introduction to modern algebra that emphasizes the field's roots in the issue of the solvability of equations by radicals.

Introductory modern algebra; a historical approach, 2d ed

These courses, Elementary Linear Algebra, Number Theory, Introduction to Proofs, Modern Algebra, and Advanced Calculus, traditionally have at least one semester of calculus as a prerequisite, and most have substantially more.

An initial investigation into the mathematical background of those who pass the CSET for mathematics

As a young man, he traveled to North Africa and learned Hindu-Arabic numerals and al-jabr, the basis of modern algebra.

The Man of Numbers: Fibonacci's Arithmetic Revolution

This text is intended to serve as a comprehensive introduction to first-year graduate level modern algebra while also providing advanced graduate students with materials for further study, even if the materials don't reach the frontiers of the field.

Advanced modern algebra, 2d ed

If Dodson was hostile to Modern Algebra, he could have objected to his contemporaries giving new and strictly mathematical meanings to such everyday words as group, ring and field .

Bayley's Claims About "Alice"

The development of algebra is outlined in these notes under the following headings: Egyptian algebra, Babylonian algebra, Greek geometric algebra, Diophantine algebra, Hindu algebra, Arabic algebra, European algebra since 1500, and modern algebra.

Beautiful algebra

He was the founder of modern Algebra and later physician to King Edward VI.

Firm rings the changes with cantastic awards

Peterson created the framework of coding theory based on modern algebra and invented practical methods for error detection and correction, making digital systems used in CD-ROMs and computers reliable.

3 U.S. scientists awarded 1999 Japan Prize

Our approach was to look at the development of modern algebra for ideas found in elementary mathematics that contributed to the evaluation of the abstract approach to algebraic structures.

Algebraic thinking: a professional-development theme

The first course in the program was "Abstract Mathematics Applied in Secondary Education," a survey course of topics from number theory, modern algebra and discrete mathematics.

Telecommunications for inservice training of high school math teachers

The author notes in the preface that an extended (Victorian-style) title for this book would be Learning Modern Algebra by Studying Early Attempts, Especially Those in the Nineteenth Century that Tried to Prove Fermat's Last Theorem Using Elementary Methods.

Learning Modern Algebra: From Early Attempts to Prove Fermat's Last Theorem

Over many years of teaching undergraduate modern algebra, Miller (mathematics, State U.