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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.
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.
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
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.
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.
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.
The Scots Worthies offers stirring mini-biographies of the great roll-call of the Christian heroes of Scotland from the 1520s to the 'killing times' of the 1680s.
The fun and easy way to tackle football basics and enjoy America's most popular sport Since the last edition of Football For Dummies, new stadiums have been built, new stars have ascended, and records have been broken. This new edition has been revised to reflect today's game, giving football fans up-to-the-minute information on all the rules and regulations, positions, plays, and penalties. Featuring coverage of the newest stadium technologies, revised greatest players and legends, and pro-football must-do experiences, it also includes expert advice on training and gearing up for those who play the game. The complete fan's updated guide to football Revised material on new players, stadiums, and strategies Written by football legend Howie Long and revered analyst John Czarnecki From peewees to the pros, this hands-on, friendly guide covers the nuts and bolts of football for fans of all ages and experience levels.
The radio talk show host sensation and crime reporter delivers a portrait of gangster Johnny Martorano, whose life inspired Martin Scorsese’s The Departed. With a new epilogue detailing Whitey Bulger’s dramatic June 2011 capture For two decades Johnny Martorano struck fear into anyone even remotely connected to his world. His partnership with Whitey Bulger and the infamous Winter Hill Gang led to twenty mob murders—for which Johnny would serve twelve years in prison. Howie Carr also looks at the politicians and FBI agents who aided Johnny and Whitey, and at the flamboyant city of Boston which Martorano so ruthlessly ruled. A plethora of paradoxes, Johnny Martorano was Mr. Mom by day an...
Are you ready for some football? New stadiums have been built, new stars have been born, and records have been broken since the last edition of Football For Dummies. This new edition is the fan's ultimate, up-to-date guide to all things pigskin. Perfect for new and veteran fans of the sport alike, it covers everything you need to be the most knowledgeable spectator in the stadium. With deep explanations of every position, analysis of offense and defense, and detailed strategies for play, football legend Howie Long and established analyst John Czarnecki present the nuts and bolts of football for fans of all ages and experiences. Tackle football basics and enjoy America’s favorite sport Grasp the rules and regulations, positions, plays, and penalties Appreciate the different aspects of the game at the professional and college levels Learn about the latest NFL stadium technologies Football For Dummies has something to offer fans of all ages, from peewees to the pros and everything between.