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"Based on the author's years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on...
Author
Description
"Professor H.S. Wall wrote Creative Mathematics with the intention of leading students to develop their mathematical abilities, helping them learn the art of mathematics, and teaching them to create mathematical ideas. Creative Mathematics, according to Wall, "is not a compendium of mathematical facts and inventions to be read over as a connoisseur of art looks over paintings. It is, instead, a sketchbook in which readers try their hands at mathematical...
Author
Description
"Real Analysis and Infinity presents the essential topics for a first course in real analysis with an emphasis on the role of infinity in all of the fundamental concepts. After introducing sequences of numbers, it develops the set of real numbers in terms of Cauchy sequences of rational numbers, and uses this development to derive the important properties of real numbers like completeness. The book then develops the concepts of continuity, derivative,...
Author
Description
Mathematical Analysis: An Introduction is a textbook containing more than enough material for a year-long course in analysis at the advanced undergraduate or beginning graduate level. The book begins with a brief discussion of sets and mappings, describes the real number field, and proceeds to a treatment of real-valued functions of a real variable. Separate chapters are devoted to the ideas of convergent sequences and series, continuous functions,...
Author
Description
"By covering all the basics and developing rigor simultaneously, this introduction to real analysis is ideal for senior undergraduates and beginning graduate students, both as a classroom text or for self-study. With its wide range of topics and its view of real analysis in a larger context, the book will be appropriate for more advanced students as well."--Jacket.
Author
Description
The Workshop Mathematics approach to instruction focuses on interactive teaching, or learning-by-doing. In Workshop Calculus the primary goal is to encourage students to think like mathematicians. By making observations and connections, exploring data, asking questions, and writing up their results, students work collaboratively to develop a full understanding of calculus. Intended for students who have taken precalculus but are not quite ready for...
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