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Real Analysis
Real Analysis is a comprehensive introduction to this core subject and is ideal for self-study or as a course textbook for first and second-year undergraduates. Combining an informal style with precision mathematics, the book covers all the key topics with fully worked examples and exercises with solutions. All the concepts and techniques are deployed in examples in the final chapter to provide the student with a thorough understanding of this challenging subject. This book offers a fresh approach to a core subject and manages to provide a gentle and clear introduction without sacrificing rigour or accuracy.
Complex Analysis
Complex analysis can be a difficult subject and many introductory texts are just too ambitious for today’s students. This book takes a lower starting point than is traditional and concentrates on explaining the key ideas through worked examples and informal explanations, rather than through "dry" theory.
Fields and Galois Theory
A modern and student-friendly introduction to this popular subject: it takes a more "natural" approach and develops the theory at a gentle pace with an emphasis on clear explanations Features plenty of worked examples and exercises, complete with full solutions, to encourage independent study Previous books by Howie in the SUMS series have attracted excellent reviews
Fundamentals of Semigroup Theory
This book is an indispensable source for anyone with an interest in semigroup theory or whose research overlaps with this increasingly important and active field of mathematics. It clearly emphasizes "pure" semigroup theory, in particular the various classes of regular semigroups. More than 150 exercises, accompanied by relevant references to the literature, give pointers to areas of the subject not explicitly covered in the text.
Finite Semigroups And Universal Algebra
Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called “pseudovarieties”. The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting of arbitrary abstract finite algebras, this book stresses the syntactical approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups.
The Scots Worthies
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Automata and Languages
Theoretical models of simple computing machines, known as automata, play a central role in computer science. This textbook presents an introduction to the theory of automata and to their connection with the study of languages. At the heart of the book is the notion that by considering a language as a set of words it is possible to construct automata which "recognize" words in the language. Consequently one can generate a correspondence between a hierarchy of machines and a corresponding hierarchy of grammars and languages. The author leads the reader from finite status automata through pushdown automata to Turing machines. He demonstrates clearly and elegantly the fundamental connections between automata and abstract algebra via the concepts of syntactic monoid and minimal automaton. The author presupposes a basic familiarity with algebra, but beyond this the book is self-contained. As a result, it will make ideal reading for students of mathematics and computer science approaching this subject for the first time.
Passion and Palate
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In Search of Al Howie
The story of Al Howie is a remarkable and at times unbelievable adventure into the heart of the longest races in the world with one of modern history's most eccentric ultra-marathon runners. If you ran 7295 kilometres across Canada in 72 days, wearing three-ounce racing flats, then two weeks later took on the longest certified race on Earth and broke the world record (which happened to be your own), what would you be? Likely an alien. If you won 24-hour races and three-, six-, and seven-day races several times a year in your mid-40s, and ran marathons just for training, what would they call you? Crazy for sure. If you were forever broke and shipped your clothes on buses in order to run free ...
