John Baylis

Rod Haggarty

This entertaining and serious book covers some key subjects, of number theory, algebra and analysis in the general theory of sixth-form and early-undergraduate mathematics. The reader-friendly style creates motivation to tackle more formal texts, ability to understand and enjoy mathematics, willingness to appreciate the proofs. Alice, Tweedledum, Twedledee and other L. Carroll?s characters make the book ingenious and pleasant. The main points in the exposition deal with logic, theorem proving, prime factorization, numbers and operations on them, equivalence relation, Euclid?s algorithm, induction, permutations, and transpositions, axioms for R, cardinality, sequences and series, convergence, graphs and continuity, selected exercises with hints and solutions, references with useful recommendations.--Reviewer: K.Peeva (Sofia).

A Students' Guide to the Enjoyment of Higher Mathematics

Alice in Numberland

This book is a short, concise introduction to key mathematical ideas for computing students which develops their understanding of discrete mathematics and its application in computing. The topics are presented in a well defined, logical order that build upon each other and are constantly reinforced by worked examples. Reliance on students' previous mathematical experience is kept to a minimum, though some basic algebraic manipulation is required. This book is appropriate for CS and Math students in an undergraduate Discrete Math course. The content constitutes an accepted core of mathematics for computer scientists (for example, the formal methods used in computer science draw heavily on the discrete methematical concepts covered here, particularly logic, sets, relations and functions). Emphasis is placed on clear and careful explanations of basic ideas and on building confidence in developing mathematical competence through carefully selected exercises. All chapters conclude with short applications/case studies relevant to computing, which provide further motivation to engage with the mathematical ideas involved, and also demonstrate how the mathematics can be applied in a computing context.

Rod Haggarty

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