Ditemukan 5 dokumen yang sesuai dengan query
Bachman, David
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This text presents differential forms from a geometric. The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. The second edition includes a completely new chapter on differential geometry, as well as other new sections, new exercises and new examples. Additional solutions to selected exercises have also been included. ...
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New York: [, Springer Science], 2012
e20418889
eBooks Universitas Indonesia Library
Tromba, Anthony J.
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This book shows how to calculate arbitrarily high orders of derivatives of the Douglas energy defined on the infinite dimensional manifold of all surfaces spanning a contour, breaking new ground in the calculus of variations.The monograph begins with easy examples in either manifolds or complex analysis. This monograph requires only the most basic knowledge of analysis, complex analysis and topology ...
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New York: Springer-Verlag , 2012
e20418918
eBooks Universitas Indonesia Library
Finster, Felix, editor
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This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity, conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of ...
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Basel: [Springer, ], 2012
e20419853
eBooks Universitas Indonesia Library
Galbis, Antonio
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The aim of this book is to facilitate the use of Stokes' theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Several practical methods and many solved exercises are provided. This book tries to show that ...
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New York: [Springer, ], 2012
e20419990
eBooks Universitas Indonesia Library
Bogatyrev, Andrei
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The book develops the classical Chebyshev's approach which gives analytical representation for the solution in terms of Riemann surfaces. The techniques born in the remote (at the first glance) branches of mathematics such as complex analysis, Riemann surfaces and Teichmüller theory, foliations, braids, topology are applied to approximation problems. The key feature of this book is the usage of beautiful ideas of contemporary mathematics for the solution of applied problems and their effective numerical ...
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Berlin: Springer, 2012
e20420416
eBooks Universitas Indonesia Library
