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This book describes and analyses how a mathematics student can develop into a sophisticated and rigorous thinker.

A collection of examples, some counterintuitive but true, others employing crafty sophistry, to enhance students' understanding of important calculus concepts.

Offers a quick but precise and careful introduction to the subject of functional analysis. It covers the basic topics that can be found in a basic graduate analysis text. But it also covers more sophisticated topics such as spectral theory, convexity, and fixed-point theorems. A special feature of the book is that it contains a great many examples and some applications.

A memoir that describes the groundbreaking life and career of blind mathematician Larry Baggett, interspersed with musings on mathematics.

A collection of articles presenting the results of recent studies on the use of history in the teaching of mathematics.

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An accessible compendium of essays on the broad theme of mathematics and sports.

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An exploration of Voltaire's Micromégas which presents the mathematics behind the polar expedition and suggests some answers to Voltaire's riddle.

A collection of remarkable proofs that are exceptionally elegant, and thus invite the reader to enjoy the beauty of mathematics.

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An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?

A quick and easy-to-use introduction to the key topics in complex variables, for mathematicians and non-mathematicians alike.

Introduces the richness and variety of inequalities in mathematics using illustration and visualisation.

An elementary introduction to the mathematics involved in cryptology, the science of reading and writing secret messages. The book has an engaging style, and all concepts used are carefully explained. It will be suitable for all students interested in cryptology and those looking for practical applications of seemingly abstract mathematics.

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A colourful introduction to classical analysis, complete with problems from past mathematics competitions, for undergraduate mathematics students.

Problems and solutions from Mathematical Olympiad. Ideal for anyone interested in mathematical problem solving.