Bøger i Dover Books on Mathematics serien

A virtually self-contained treatment of the basics of Galois theory. This 2-part approach begins with the elements of Galois theory and concludes with the unsolvability by radicals of the general equation of degree n is greater than 5.

This outstanding text is written in clear language and enhanced with many exercises, diagrams, and proofs. It discusses historical developments and future directions and provides an extensive bibliography and references. 1971 edition.

Students and puzzle enthusiasts will get plenty of enjoyment plus some painless mathematical instruction from 30 conundrums, including The Birthday Paradox, Aristotle's Magic Wheel, and A Greek Tragedy.

First published in 1545, this cornerstone in the history of mathematics contains the first revelation of the principles for solving cubic and biquadratic equations. Excellent translation, adapted to modern mathematical syntax.

This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.

An engaging treatment of an 800-year-old problem explores the occurrence of Fibonacci numbers in number theory, continued fractions, and geometry. Its entertaining style will appeal to recreational readers and students alike.

This outstanding text and reference applies matrix ideas to vector methods, using physical ideas to illustrate and motivate mathematical concepts but employing a mathematical continuity of development rather than a physical approach. Motivated examples introduce each idea, with interpretations of physical, algebraic, and geometric contexts, in addition to generalizations to theorems that reflect the essential structure. Geared toward upper-level undergraduates, the text features approximately 50 provocative problems at each chapter' 2s end that test students' 2 choice of techniques. Each chapter is also followed by about 25 mental exercises that stimulate imaginative reflection. Answers are given to selected questions. 1963 ed. Index. 121 figures.

Darting wittily from Euclid to Yeats, from Poincare to Rembrandt, from axioms to symphonies, a math professor explores the difference between real, rational, and complex numbers--revealing the connection between aesthetics and mathematics. Sure to make number connoisseurs out of math haters.

This 3-part treatment begins with the mechanics of writing proofs, proceeds to considerations of the area and circumference of circles, and concludes with examinations of complex numbers and their application, via De Moivre's theorem, to real numbers. "I recommend this as a textbook or supplemental textbook." -- "Brian Rogers, The Mathematical Association of America." 1998 edition.

Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.