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The Concrete Tetrahedron (Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates)

The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates. Their key features, in isolation or in combination, their mastery by paper and Read more…


A Concrete Introduction to Higher Algebra

This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. The new examples and theory are Read more…


A Concrete Approach to ABSTRACT ALGEBRA (From the Integers to the Insolvability of the Quintic)

A Concrete Approach to Abstract Algebra presents a solid and highly accessible introduction to abstract algebra by providing details on the building blocks of abstract algebra. It begins with a concrete and thorough examination of familiar objects such as integers, Read more…