By James R. Munkres
From the preface:
"This e-book is meant as a textual content for a path in research, on the senior or first-year graduate level.
A year-long direction in actual research is a necessary a part of the education of any capability mathematician. For the 1st half this sort of path, there's titanic contract as to what the syllabus might be. regular issues comprise: series and sequence, the topology of metric areas, and the spinoff and the Riemannian critical for capabilities of a unmarried variable. there are various very good texts for this type of path, together with books by way of Apostol, Rudin, Goldberg, and Royden, between others.
There is not any such common contract as to what the syllabus of the second one half this type of direction may be. a part of the matter is that there are just too many subject matters that belong in this kind of direction for one in an effort to deal with all of them in the confines of a unmarried semester, at greater than a superficial level.
At M.I.T., we have now handled the matter by way of supplying self sufficient second-term classes in research. this type of offers with the spinoff and the Riemannian fundamental for services of numerous variables, by means of a therapy of differential types and an evidence of Stokes' theorem for manifolds in euclidean house. the current e-book has resulted from my years of training this path. the opposite offers with the Lebesque fundamental in euclidean area and its purposes to Fourier analysis."
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Extra resources for Analysis on Manifolds
The use of this approach in primary care practice could be adapted by any primary care practitioner. The Shuler Nurse Practitioner Practice Model (Shuler and Davis, 1993) is an ambitious attempt to describe the nurse practitioner’s integrated role. It is rooted in a wholistic patient database that includes physical, psychological, social, cultural, environmental, and spiritual dimensions. The database enables the nurse practitioner to accurately identify and evaluate patient needs that are categorized as health or health-related.
There is an increasing call for a better balance between cure-oriented and care-oriented medicine. qxd 12 3/8/11 UNIT 1 3:22 PM Page 12 Caring-Based Nursing: The Art the failure of cure-oriented medicine to do away with the big killers, such as heart disease and cancer. People are merely living with them longer. Care-oriented medicine means well-coordinated medical assistance to manage disease, further coordinated with family and social help—again, traditional nursing strengths and domains. Prevention as an approach can only go so far.
Support of systems 3. Education 4. Research 5. Publication and professional leadership These domains are situated in a continuum of novice to expert practice, which is foundational to the Strong Model. Conceptual strands pervade the model and provide unity to its structure. These include empowerment, scholarship, and collaboration. The model, designed like a web, envisions the role of the acute-care nurse practitioner as facilitating the progression of the patient through the health-care system in an efficient and cost-effective manner, with the patient always at the center.