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Linear Fractional Transformations
An Illustrated Introduction
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Excursions in Number Theory, Algebra, and Analysis
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Introduction to Partial Differential Equations
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An Invitation to Abstract Mathematics
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Introduction to Calculus and Classical Analysis
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This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material. Some features of the text: The text is completely self-contained and starts with the real number axioms; There is a heavy emphasis on computational problems; There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, and many more; Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; There are 385 problems with all the solutions at the back of the text.
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Geometry: from Isometries to Special Relativity
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Mathematics and Its History
A Concise Edition
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A Pythagorean Introduction to Number Theory
Right Triangles, Sums of Squares, and Arithmetic
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A Readable Introduction to Real Mathematics
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