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Introduction to Algebra
This Second Edition of a classic algebra text includes updated and comprehensive introductory chapters,new material on axiom of Choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises. It is an ideal introductory text for all Year 1 and 2 undergraduate students in mathematics.
Combinatorics
Combinatorics is a subject of increasing importance because of its links with computer science, statistics, and algebra. This textbook stresses common techniques (such as generating functions and recursive construction) that underlie the great variety of subject matter, and the fact that a constructive or algorithmic proof is more valuable than an existence proof. The author emphasizes techniques as well as topics and includes many algorithms described in simple terms. The text should provide essential background for students in all parts of discrete mathematics.
Sets, Logic and Categories
Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.
Permutation Groups
This book summarizes recent developments in the study of permutation groups for beginning graduate students.
Textbook of Paediatric Emergency Medicine E-Book
A comprehensive textbook of paediatric emergency medicine for trainee doctors - covers all the problems likely to present to a trainee in the emergency department. Short concise chapters, with key point boxes at the beginning - easy to use for the hard-pressed trainee. Aims to give a consensus approach to assessment and treatment, based on the latest evidence. Highlights areas of controversy.
The Mathematics of Paul Erdős II
This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collectio...
Why Preach
Well known for his teaching, writing, and editing of Magnificat, the widely popular monthly publication containing the Scripture readings and prayers for the Mass used weekly by several hundred thousand Catholics, Fr. Peter John Cameron, O.P., offers here expert spiritual and practical help for priests, pastors and seminarians desiring to preach effectively. Why Preach draws from the author's rich understanding of the Word of God as the challenging, encouraging, and healing presence of Christ, as well as from his own experience as both a preacher and a teacher of homiletics. With an eye focused on the works and examples of Pope John Paul II and Pope Benedict XVI, Father Cameron illustrates that good preaching derives from and leads to an encounter with Christ, the Word of God made Flesh, who comes to us through the Scriptures. The objective of the book is to help preachers to think about preaching in a new, dynamic way. Its aim is to provide a fresh and helpful vision of preaching geared to deepening a preacher's appreciation of what preaching is, and the great spiritual impact that good preaching can have on its audience, so as to increase his desire and ability to preach well.
Combinatorics: Ancient & Modern
Combinatorics is the branch of discrete mathematics that studies (and counts) permutations, combinations, and arrangements of sets of elements. This book constitutes the first book-length survey of the history of combinatorics and uniquely assembles research in the area that would otherwise be inaccessible to the general reader.
