This book is a one-semester text for an introduction to real analysis. The author's primary aims are to develop ideas already familiar from elementary calculus in a rigorous manner and to help students deeply understand some basic but crucial mathematical ideas, and to see how definitions, proofs, examples, and other forms of mathematical "apparatus" work together to create a unified theory. A key feature of the book is that it includes substantial treatment of some foundational material, including general theory of functions, sets, cardinality, and basic proof techniques.
This book introduces the rigorous study of real numbers and real-valued functions.
With computers increasingly used to teach students structural design, there is a perception that students are losing a basic understanding of structural design. This text addresses the problem by encouraging basic understanding of the subject.
This text addresses the problem by encouraging basic understanding of the subject.
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