Advanced Calculus (Revised Edition)

Advanced Calculus (Revised Edition)

Author: Lynn Harold Loomis

Publisher: World Scientific Publishing Company

Published: 2014-02-26

Total Pages: 595

ISBN-13: 9814583952

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An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.


Decolonizing Methodologies

Decolonizing Methodologies

Author: Linda Tuhiwai Smith

Publisher: Bloomsbury Publishing

Published: 2016-03-15

Total Pages: 256

ISBN-13: 1848139527

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'A landmark in the process of decolonizing imperial Western knowledge.' Walter Mignolo, Duke University To the colonized, the term 'research' is conflated with European colonialism; the ways in which academic research has been implicated in the throes of imperialism remains a painful memory. This essential volume explores intersections of imperialism and research - specifically, the ways in which imperialism is embedded in disciplines of knowledge and tradition as 'regimes of truth.' Concepts such as 'discovery' and 'claiming' are discussed and an argument presented that the decolonization of research methods will help to reclaim control over indigenous ways of knowing and being. Now in its eagerly awaited second edition, this bestselling book has been substantially revised, with new case-studies and examples and important additions on new indigenous literature, the role of research in indigenous struggles for social justice, which brings this essential volume urgently up-to-date.


The Voynich Manuscript

The Voynich Manuscript

Author: M. E. D'Imperio

Publisher:

Published: 1978

Total Pages: 164

ISBN-13:

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In spite of all the papers that others have written about the manuscript, there is no complete survey of all the approaches, ideas, background information and analytic studies that have accumulated over the nearly fifty-five years since the manuscript was discovered by Wilfrid M. Voynich in 1912. This report pulls together all the information the author could obtain from all the sources she has examined, and to present it in an orderly fashion. The resulting survey will provide a firm basis upon which other students may build their work, whether they seek to decipher the text or simply to learn more about the problem.


SEC News Digest

SEC News Digest

Author: United States. Securities and Exchange Commission

Publisher:

Published: 1977-07

Total Pages: 644

ISBN-13:

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Lists documents available from Public Reference Section, Securities and Exchange Commission.


Musculoskeletal Imaging

Musculoskeletal Imaging

Author: Philip G. Conaghan

Publisher: OUP Oxford

Published: 2010-03-18

Total Pages: 478

ISBN-13: 0191575275

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Diseases of the joints and surrounding tissues cannot be visualised without the help of imaging techniques. These range from x-rays (which have been available for over 100 years) to the highly sophisticated magnetic resonance imaging scanning. The variety of imaging techniques and indeed the quality of these images has improved radically in the past decade and this book attempts to capture the way in which rheumatologists and their colleagues can use a wide variety of techniques to analyse musculoskeletal diseases which are known to exist. This handbook provides the reader with an insight into both which imaging techniques should be applied to particular clinical problems and how the results can be used to determine the diagnosis and management of musculoskeletal conditions. It is extensively illustrated with examples of the various imaging techniques and joints to aid understanding, and is organised by anatomical region and specific musculoskeletal disorder to allow easy access to information.


Geometric Integration Theory

Geometric Integration Theory

Author: Steven G. Krantz

Publisher: Springer Science & Business Media

Published: 2008-12-15

Total Pages: 344

ISBN-13: 0817646795

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This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.