the pullback equation for differential forms

The Pullback Equation for Differential Forms

ISBN: , SKU: , AUTHOR: Csat, Gyula / Dacorogna, Bernard / Kneuss, Olivier, PUBLISHER: Birkhauser Boston, An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables. The problem is therefore to find a map so that it satisfies the pullback equation: *(g) = f. In more physical terms, the question under consideration can be seen as a problem of mass transportation. The problem has received considerable attention in the cases k = 2 and k = n, but much less when 3 k n 1. The present monograph provides the first comprehensive study of the equation. The work begins by recounting various properties of exterior forms and differential forms that prove useful throughout the book. From there it goes on to present the classical Hodge Morrey decomposition and to give several versions of the Poincar lemma. The core of the book discusses the case k = n, and then the case 1 k n 1 with special attention on the case k = 2, which is fundamental in symplectic geometry. Special emphasis is given to optimal regularity, global results and boundary data. The last part of the work discusses H lder spaces in detail; all the results presented here are essentially classical, but cannot be found in a single book. This section may serve as a reference on H lder spaces and therefore will be useful to mathematicians well beyond those who are only interested in the pullback equation. The Pullback Equation for Differential Forms is a self-contained and concise monograph intended for both geometers and analysts. The book may serve as a valuable reference for researchers or a supplemental text for graduate courses or seminars.

The Book of the Law

ISBN: , SKU: , AUTHOR: Weiser Books, PUBLISHER: Weiser Books, "Do what thou wilt shall be the whole of the Law." This oft-misunderstood phrase, which forms the basis for Crowley's practice of Magick, is found in The Book of the Law. Dictated to Crowley in Cairo between noon and 1 pm on three success days in April , the Book of the Law is the source book and key for Crowley students and for the occult in general. For the first time the Book of the Law is offered in a deluxe, hardcover edition fittingly issued in celebration of the 100th anniversary of Liber AL vel Legis's transmission to Crowley.

Fundamentals of Case Management Practice: Skills for the

ISBN: , SKU: , AUTHOR: Summers, Nancy, PUBLISHER: Thomson Brooks/Cole, Become an effective case manager with FUNDAMENTALS OF CASE MANAGEMENT PRACTICE This practical, ahow-toa workbook gives you the practice and information you need to be able to function competently in a social service setting. A step-by-step case management procedure takes you from intake to termination, providing clear directions for each step in the process, practical tips, and practice scenarios taken from real case management situations. The workbook includes actual agency forms that provide with the opportunity to practice using forms similar to those you will use on the job.

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Amir Aczel, God's Equation

Amir Aczel, God's Equation: Einstein, Relativity and the Expanding Universe

Clinical Handbook of Insomnia

ISBN: , SKU: , AUTHOR: Attarian, Hrayr P. / Schuman, Catherine, PUBLISHER: Humana Press, Expert clinicians and researchers provide practicing primary health care providers the first clinically oriented, comprehensive textbook devoted to the evaluation and treatment of insomnia. Summarizing the latest findings published in a wide variety of medical journals, these experts concisely review the primary insomnias and those due to medical, neurological, and psychiatric problems, and to fully discuss the latest pharmacological and nonpharmacological treatments for insomnia. A simple algorithm for the differential diagnosis of insomnia is included. Acquista Ora

The different forms of flowers DARWIN

Titolo: The different forms of flowers - Editore: John Murray- Autore: Charles Darwin - Anno pubblicazione: - Libro in buone condizioni con rilegatura in cuoio. Lingua inglese con illustrazioni.

How to Form a Nonprofit Corporation [With CDROM]

ISBN: , SKU: , AUTHOR: Mancuso, Anthony, PUBLISHER: NOLO, The definitive guide for arts groups, educators, social service agencies, environmentalists and anyone who wants to start a nonprofit organization, this book shows step by step how to form and operate a tax-exempt corporation in all 50 states. It includes complete instructions for obtaining federal 501 (c)(3) tax exemption and for qualifying for public charity status with the IRS. The fourth edition has been revised to include the most up-to-date tax and legal information, and it includes all the forms for Articles, Bylaws and Minutes, both as tear-outs and on disk.

Optimal Control of Differential Equations

ISBN: , SKU: , AUTHOR: Pavel, Nicolae H. / Pavel, Pavel H., PUBLISHER: CRC Press, "Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics. Introduces new results as well as novel methods and techniques "

Classical Music for Everybody

ISBN: , SKU: , AUTHOR: Sethna, Dhun H., PUBLISHER: Fitzwilliam Press, For those who seek guidance in introducing themselves to classical music, this popular, painless guide to the major styles and most popular works of the Baroque through Impressionist periods leads the reader into this rich music from three vantage points: a discussion of instrument families and standard forms, a timetable of stylistic eras, and an exploration of the ways in which literary themes appear in the music.

Differential Equations: A Modeling Perspective, Preliminary

ISBN: , SKU: , AUTHOR: Borrelli, Robert / Coleman, Courtney S., PUBLISHER: John Wiley & Sons, Reform Differential Equations book specifically targeted toward engineers and future engineers. It emphasizes modeling, nonlinearity, visualization, and the use of technology.

Forms of Power

ISBN: , SKU: , AUTHOR: Poggi, Gianfranco, PUBLISHER: Polity Press, Political power is often viewed as the sole embodiment of 'social power', even while we recognize that social power manifests itself in different forms and institutional spheres. This new book by Gianfranco Poggi suggests that the three principal forms of social power - the economic, the normative/ideological and the political - are based on a group's privileged access to and control over different resources. Against this general background, Poggi shows how various embodiments of normative/ideological and economic power have both made claims on political power (considered chiefly as it is embodied in the state) and responded in turn to the latter's attempt to control or to instrumentalize them. The embodiment of ideological power in religion and in modern intellectual elites is examined in the context of their relations to the state. Poggi also explores both the demands laid upon the state by the business elite and the impact of the state's fiscal policies on the economic sphere. The final chapter considers the relationship between a state's political class and its military elite, which tends to use the resource of organized coercion for its own ends. Forms of Power will be of interest to students and scholars of sociology and politics.

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Awakening the Mind: Basic Buddhist Meditations

ISBN: , SKU: , AUTHOR: Wangchen, Geshe Namgyal / Namgyal, PUBLISHER: Wisdom Publications (MA), The profoundly effective methods of meditation presented in "Awakening the Mind have helped people overcome their problems for centuries. Based on the teachings of the Tibetan saint Tsong Khapa, these techniques help replace depression, anger, and other forms of mental pain with tranquility, compassion, and wisdom.

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DENOISE projects Professional 2 per Windows

Precisely eliminates all seven forms of image noise Start drastically improving your photos with customized image noise reduction precisely modified to suite your individual photograph. DENOISE projects 2 professional is the only software available capable of removing all seven known forms of image noise. Now you can start shooting in environments previously unsuitable for producing satisfactory photographs! Enhanced photos free of image noise Easy operation – no previous image editing experience required Natural Grain for naturally-realistic noise removal

Primary Dermatologic Care

ISBN: , SKU: , AUTHOR: Hooper, Bonnie J. / Goldman, Mitchel P., PUBLISHER: C.V. Mosby, Uses a symptom-based approach to cover approximately 125 commonly seen disorders. Each dermatologic disorder includes the definition, etiology, pathophysiology, signs and symptoms, differential diagnosis, treatment and patient education, along with protocols for follow-up including expected duration of the symptoms as needed. A color atlas is presented to provide clarity. The featured patient education materials simplify pathophysiology, etiology for the patient and provide information on follow up. This patient teaching guide will be provided in an appendix that can be photocopied for educational use.

The Start-Up Guide: A One-Year Plan for Entrepreneurs

ISBN: , SKU: , AUTHOR: Bangs, David H., PUBLISHER: Kaplan Publishing, This complete action plan for starting a successful small business is designed to allow would be business founders to cover all the essential steps in the planning process. This guide walks readers through the first year of small business start up. It's packed with practical aids such as worksheets, checklists, and "Action Plan" forms that leave nothing to chance.

The Slithering Sense

ISBN: , SKU: , AUTHOR: Chalmers, Jason, PUBLISHER: Authorhouse, The Slithering SenseJason ChalmersDreams rarely hold any significance as it pertains to reality, but for Amanda, they have altogether created a world that provokes changes in her body and soul.She has been keeping a deep secret from her husband Rick, and the mystery provokes her to travel into a realm that resembles nothing of the planet she calls home.Many enigmas begin to spread out over the land, ones that alter the atmosphere and challenge the willpower of those who reside within. Amanda is forced to conquer her fears, and somehow becomes the balancing factor for the entire universal equation-or so she believes.Rick is convinced that his wife is caught up in the midst of her own fantasies; however, the struggle for enlightenment and the twisting of fate falls into the young couple's hands.The cross to bear brings many trials and tribulations for the two, and they soon realize that the journey home has just begun.

Skillmasters: Better Documentation

ISBN: , SKU: , AUTHOR: Springhouse / Lippincott / Springhouse, PUBLISHER: Lippincott Williams & Wilkins, This portable reference is a timesaving guide on how to enhance charting skills, avoid legal pitfalls, and ensure that a complete and accurate record is created every time. Reviews fundamental aspects of charting, nursing process, legal and professional requirements, guidelines for developing a solid plan of care, and the variety of charting forms currently in use, including computerized charting. Completed forms show exactly how todocument assessment, intervention, and evaluation. Also addresses the specific requirements for charting in acute care, home care, and long-term care and rehabilitation. Appendices include NANDA Taxonomy II, as well as common abbreviations and symbols. Acquista Ora

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The Kundalini Equation

ISBN: , SKU: , AUTHOR: Barner, Steven / Barnes, Steven, PUBLISHER: Tor Books, "Barnes gives us character that are vividly real people, conceived with insight and portrayed with compassion and rare skill -- and then he stokes the suspense up to levels that will make the reader miss sleep and be late for work". -- Tim Powers World Fantasy Award-winning author of Earthquake Weather

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