Ditemukan 6 dokumen yang sesuai dengan query
Bar, Christian, editor
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This volume contains a collection of well-written surveys provided by experts in global differential geometry to give an overview over recent developments in Riemannian geometry, geometric analysis and symplectic geometry. The papers were written for researchers with a general interest in geometry who want to get acquainted with the current trends in these central fields of modern mathematics ...
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Berlin: Springer, 2012
e20420444
eBooks Universitas Indonesia Library
Delfour, Michael C., 1943
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This book provides a self-contained presentation of the mathematical foundations, constructions, and tools necessary for studying problems where the modeling, optimization, or control variable is no longer a set of parameters or functions but the shape or the structure of a geometric object. Shapes and Geometries: Analysis, Differential Calculus, and Optimization presents the extensive, recently developed theoretical foundation to shape optimization in a form that can be used by the engineering community. It also clearly ...
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Philadelphia: Society for Industrial and Applied Mathematics, 2001
e20451080
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
Schattler, Heinz
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This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques that go well beyond standard procedures and can be used to obtain a full understanding of the global structure of solutions for the underlying problem. ...
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New York: [Springer, ], 2012
e20419542
eBooks Universitas Indonesia Library
Arnold, V. I.
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Singularity theory is a far-reaching extension of maxima and minima investigations of differentiable functions, with implications for many different areas of mathematics, engineering (catastrophe theory and the theory of bifurcations), and science. The three parts of this first volume of a two-volume set deal with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities. The second volume describes the topological and algebro-geometrical aspects of the ...
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New York: Springer, 2012
e20420538
eBooks Universitas Indonesia Library
Arnold, V. I.
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This reprint covers anatomy and physiology of singularities of differentiable functions. Includes the topological structure of isolated critical points of holomorphic functions, the asymptotic behavior of integrals of the method of stationary phase, and mor ...
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New York: Springer, 2012
e20420539
eBooks Universitas Indonesia Library
