Ditemukan 12 dokumen yang sesuai dengan query
Napier, Terrence
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This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method. This method is a powerful technique from the theory of several complex variables, and provides for a unique approach to the fundamentally different characteristics of compact and noncompact riemann surfaces ...
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New York: Springer, 2011
e20418937
eBooks Universitas Indonesia Library
Lee, John M.
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This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research, smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and ...
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New York: Springer, 2013
e20419418
eBooks Universitas Indonesia Library
Castillo, Gerardo F. Torres del
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This textbook explores the theory behind differentiable manifolds and investigates various physics applications along the way. Basic concepts, such as differentiable manifolds, differentiable mappings, tangent vectors, vector fields, and differential forms, are briefly introduced in the first three chapters. Chapter 4 gives a concise introduction to differential geometry needed in subsequent chapters. Chapters 5 and 6 provide interesting applications to connections and Riemannian manifolds. Lie groups and Hamiltonian mechanics are closely examined in the last ...
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New York: [, Springer], 2012
e20418969
eBooks Universitas Indonesia Library
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
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Algorithms for independent component analysis (ICA) based on information-theoritic criteria optimization over differential manifolds have been devised over the last few years.... ...
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TAQUART
Artikel Jurnal Universitas Indonesia Library
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This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, ...
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Switzerland: Springer Nature, 2019
e20508900
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
