Henry Carter Hull

Brief, clear, and well written, this introduction to abstract algebra bridges the gap between the solid ground of traditional algebra and the abstract territory of modern algebra. The only prerequisite is high school–level algebra. Author W. W. Sawyer begins with a very basic viewpoint of abstract algebra, using simple arithmetic and elementary algebra. He then proceeds to arithmetic and polynomials, slowly progressing to more complex matters: finite...

A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for two decades. Nathan Jacobson's books possess a conceptual and theoretical orientation, and in addition to their value as classroom texts, they serve as valuable references. Volume I explores all of the topics typically covered in undergraduate courses, including the rudiments of set theory, group theory,...

A textbook supplement that provides information on elementary algebra functions, covering such topics as number systems, linear equations and inequalities, exponents and polynomials, factoring, rational expressions, and quadratic equations.

Many people suffer from an inferiority complex where mathematics is concerned, regarding figures and equations with a fear based on bewilderment and inexperience. This book dispels some of the subject's alarming aspects, starting at the very beginning and assuming no mathematical education. Written in a witty and engaging style, the text contains an illustrative example for every point, as well as absorbing glimpses into mathematical history and philosophy....

In the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory. Starting...

A great researcher, writer, and teacher in an era of tremendous mathematical ferment, Felix Klein (1849-1925) occupies a prominent place in the history of mathematics. His many talents included an ability to express complicated mathematical ideas directly and comprehensively, and this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions , is a prime example of his expository powers. The treatment introduces...

Introduces the basics of geometry and algebra through illustrations and text in which each concept and symbol, including Polygon, Plane, Odd Number, Sine, and others, is represented by a unique character who explains his or her purpose and function.

A fine example of a great mathematician's intellect and mathematical style, this classic on linear algebra is widely cited in the literature. The treatment is an ideal supplement to many traditional linear algebra texts and is accessible to undergraduates with some background in algebra. "This is a classic but still useful introduction to modern linear algebra. It is primarily about linear transformations ... It's also extremely well-written and logical,...

This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample...

This intriguing title teaches readers the history of number systems. From Egyptian times to the modern day, this text covers the number systems of the Roman Empire, the Maya Empire, the Inca Empire, Babylon, and India. This full-color book teaches students about operations and algebraic reasoning, introducing them to new concepts and vocabulary terms like place value, rounded numbers, exact numbers, the binary system, and more. Primary sources like...