Sen dipak kumar (5 Ergebnisse)
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Doctoral Thesis / Dissertation from the year 2012 in the subject Mathematics - Miscellaneous, grade: Doctoral Degree, , course: Ph. D., language: English, abstract: First chapter starts with the definition of elementary function with previous algorit…hms on elementary & nonelementary functions. The second chapter contains Six Conjectures on Indefinite Nonintegrable Functions, which are traditionally known as nonelementary functions. In third chapter Dominating Function has been introduced, which dominates all most all elementary functions. In chapter four Different Types of Dominating Functions have been proposed with some properties. Chapter five contains two new functions Sequential Functions & Dominating Sequential Functions., which solves the problem of scarcity of elementary functions. In chapter six General Integrals of Dominating Sequential Functions have been generated and then indefinite integrals of some elementary and nonelementary functions have been derived. A Necessary & Sufficient Conditions for the Existence of Indefinite Integrals has been proposed in chapter seven. Possible integrals of all nonelementary functions discussed in chapter two have been discussed in chapter eight. Last chapter nine contains the Conclusion & Scope of Future Research in the field.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Research Paper (postgraduate) from the year 2012 in the subject Mathematics - Analysis, grade: Research Project, Vinoba Bhave University (Shivaji College, University of Delhi, Raja Garden, Delhi), course: Ph. D., language: English, abstract: In this…book, six conjectures on non-elementary functions based on indefinite integrals have been introduced. These conjectures give an infinite number of non-elementary functions in the sense that they cannot be integrated because for them no anti-derivatives exist in the form of elementary functions. These functions behave like a super set of many traditional non-elementary functions as can be seen in the examples on each conjecture. Two examples discussed by Marchisotto & Zakeri and the strong Liouville's theorem played an important role in proving each conjecture and its associated examples. These conjectures open up many more problems in the field of integral calculus for further research.
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Paperback. Zustand: Brand New. 256 pages. 8.66x5.91x0.58 inches. In Stock.
