Ditemukan 9 dokumen yang sesuai dengan query
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This comprehensive textbook is intended for a two-semester sequence in analysis. The first four chapters present a practical introduction to analysis by using the tools and concepts of calculus.
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New York: [Springer, ], 2012
e20419028
eBooks Universitas Indonesia Library
Burgin, Mark
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This book introduces a new theory that includes the theory of distributions as a subtheory, providing more powerful tools for mathematics and its applications. Specifically, it makes it possible to solve PDE for which it is proved that they do not have solutions in distributions. Also illustrated in this text is how this new theory allows the differentiation and integration of any real function. ...
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New York: [Springer, ], 2012
e20419350
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
Scholtes, Stefan
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This brief provides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentiable equations. In the first chapter, two sample problems are used to motivate the study of this theory. The presentation is then developed using two basic tools for the analysis of piecewise differentiable functions. the Bouligand derivative as the nonsmooth analogue of the classical derivative concept and the theory of piecewise affine functions as the combinatorial tool ...
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New York: [Springer, ], 2012
e20419669
eBooks Universitas Indonesia Library
Annaby, Mahmoud H.
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Introduces a rigorous investigation of q-difference operators in standard and fractional settings. This monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi ...
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Berlin: [Springer, ], 2012
e20419842
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
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
Jian Qiao Sun
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This book presents the latest algorithmic developments in the cell-mapping method for the global analysis of nonlinear dynamic systems, global solutions for multi-objective optimization problems, and global solutions for zeros of complex algebraic equations. It also discusses related engineering and scientific applications, including the nonlinear design of structures for better vibration resistance and reliability; multi-objective, structural-acoustic design for sound abatement; optimal multi-objective design of airfoils for better lift; and optimal multi-objective design of linear and ...
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Singapore: Springer, 2019
e20501516
eBooks Universitas Indonesia Library
