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This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.
First there was Edwin A. Abbott's remarkable Flatland, published in 1884, and one of the all-time classics of popular mathematics. Now, from mathematician and accomplished science writer Ian Stewart, comes what Nature calls "a superb sequel." Through larger-than-life characters and an inspired story line, Flatterland explores our present understanding of the shape and origins of the universe, the nature of space, time, and matter, as well as modern geometries and their applications. The journey begins when our heroine, Victoria Line, comes upon her great-great-grandfather A. Square's diary, hidden in the attic. The writings help her to contact the Space Hopper, who tempts her away from her home and family in Flatland and becomes her guide and mentor through ten dimensions. In the tradition of Alice in Wonderland and The Phantom Toll Booth, this magnificent investigation into the nature of reality is destined to become a modern classic.
The Abbot (1820) is a historical novel by Sir Walter Scott. A sequel to The Monastery, it is one of Scott's Tales from Benedictine Sources and is set in the time of Mary, Queen of Scots. The story follows the fortunes of certain characters Scott introduced in The Monastery, but it also introduces new characters such as Roland Graeme.
Although a stated sequel to "The Monastery," "The Abbot" deals with a wider field and more exalted personages than its predecessor. A few of the old characters are continued, but interest in the deeds of any '' abbot'' or his monks gives way to the troubled chronicle of Queen Mary of Scotland, from the time of her imprisonment at Lochleven Castle, to her flight into England after the Battle of Langside. Nearly ten years have passed since the union of Halbert Glendinning and Mary of Avenel—years in which the Protestant soldier proves his worth to the Earl of Murray, now Regent of Scotland, and is knighted and given increasing responsibilities. But the life of Sir Halbert and his lady, otherwise serene, has a cloud in the fact that no children have been born to them. The lonely lady is attracted to a child whom her dog saves from drowning, and she takes him into her household as page, with the further design of adopting him. The lad, Roland Graeme by name, becomes spoiled and overbearing through petting, and thus incurs the dislike of the household, among them the stern old chaplain, Henry Warden. Roland finally attempts to stab Adam Woodcock, the falconer, and is sent away in disgrace to seek his own fortunes ...
"This is an amazing study, a memoir which provides insight intofamily abuse in 18th century America.... a significant volume which enhances ourknowledge of social and religious life in New England. It is also a movingcontribution to the literature of spirituality." -- Review andExpositor "Students of American culture are indebted to AnnTaves for editing this fascinating and revealing document and for providing it withfull annotation and an illuminating introduction." -- American StudiesInternational "This is above all an eminently teachable text, which raises important issues in the history of religion, women, and the family andabout the place of violence in American life." -- New EnglandQuarterly ..". stimulating, enlightening, and provocative..." -- Journal of Ecumenical Studies Abigail Abbot Bailey wasa devout 18th-century Congregationalist woman whose husband abused her, committedadultery with their female servants, and practiced incest with one of theirdaughters. This new, fully annotated edition of her memoirs, featuring a detailedintroduction, offers a thoughtful analysis of the role of religion amidst the trialsof the author's everyday life.
This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.
A visionary book in the repertoire of prison literature. When Normal Mailer was writing The Executioner's Song, he received a letter from Jack Henry Abbott, a convict, in which Abbott offered to educate him in the realities of life in a maximum security prison. This book organizes Abbott's by now classic letters to Mailer, which evoke his infernal vision of the prison nightmare.
Designed for all students of hospitality and tourism management, the second edition of this best selling text gives a modern approach to front office operations and management using realistic scenarios set in the hotel environment Key features of this essential text: · user-friendly style of writing and accessible page layout enables students to use it as a reference book as well as a textbook · updated in the light of recent developments such as global distribution systems and the internet · greater focus on increasing yield and expansion of vital management aspects such as staffing and equipment · additional extended, practical exercise material. Front Office reflects the importance of different features of the receptionist's work and is divided into four main sections: · Procedural aspects · Dealing with people · Increasing yield · Management aspects Front Office is ideal for GNVQ/ BTEC students, those taking the professional exams of the HCIMA, and for undergraduates and postgraduates studying hospitality and tourism management and all relevant executive courses.
This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. It is organized in a distinctive, flexible way that would make it equally appropriate to undergraduate mathematics majors who want to continue in mathematics, and to future mathematics teachers who want to understand the theory behind calculus. The Real Numbers and Real Analysis will serve as an excellent one-semester text for undergraduates majoring in mathematics, and for students in mathematics education who want a thorough understanding of the theory behind the real number system and calculus.
Irrespective of authorship, the text is important in the history of biblical interpretation - it is the first commentary on Mark, and has had wide influence in the Latin west. It is written in the allegorical style, and attempts to provide an application of the gospel text to the practice of Christian discipleship.