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Variational Calculus with Elementary Convexity

Posted By: AvaxGenius
Date: 19 Nov 2022 17:40:58
Variational Calculus with Elementary Convexity

Variational Calculus with Elementary Convexity by John L. Troutman
English | PDF | 1983 | 373 Pages | ISBN : 1468401602 | 25.1 MB

The calculus of variations, whose origins can be traced to the works of Aristotle and Zenodoros, is now Ii vast repository supplying fundamental tools of exploration not only to the mathematician, but-as evidenced by current literature-also to those in most branches of science in which mathematics is applied. (Indeed, the macroscopic statements afforded by variational principles may provide the only valid mathematical formulation of many physical laws. ) As such, it retains the spirit of natural philosophy common to most mathematical investigations prior to this century.
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Applied Functional Analysis: Applications to Mathematical Physics

Posted By: AvaxGenius
Date: 30 Mar 2022 09:04:47
Applied Functional Analysis: Applications to Mathematical Physics

Applied Functional Analysis: Applications to Mathematical Physics by Eberhard Zeidler
English | PDF | 1995 | 503 Pages | ISBN : 0387944427 | 31.7 MB

A theory is the more impressive, the simpler are its premises, the more distinct are the things it connects, and the broader is its range of applicability. Albert Einstein There are two different ways of teaching mathematics, namely, (i) the systematic way, and (ii) the application-oriented way.
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Abstract Convexity and Global Optimization

Posted By: AvaxGenius
Date: 23 Mar 2022 00:16:25
Abstract Convexity and Global Optimization

Abstract Convexity and Global Optimization by Alexander Rubinov
English | PDF | 2000 | 506 Pages | ISBN : 079236323X | 38.1 MB

Special tools are required for examining and solving optimization problems. The main tools in the study of local optimization are classical calculus and its modern generalizions which form nonsmooth analysis. The gradient and various kinds of generalized derivatives allow us to ac­ complish a local approximation of a given function in a neighbourhood of a given point. This kind of approximation is very useful in the study of local extrema.
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Theorems and Problems in Functional Analysis

Posted By: AvaxGenius
Date: 21 Mar 2022 05:09:37
Theorems and Problems in Functional Analysis

Theorems and Problems in Functional Analysis by A. A. Kirillov
English | PDF | 1982 | 351 Pages | ISBN : 038790638X | 27 MB

Even the simplest mathematical abstraction of the phenomena of reality­ the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its" continuity" as a basis for the model.
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Non-Connected Convexities and Applications

Posted By: AvaxGenius
Date: 23 Feb 2022 17:36:53
Non-Connected Convexities and Applications

Non-Connected Convexities and Applications by Gabriela Cristescu
English | PDF | 2002 | 375 Pages | ISBN : 1402006241 | 30 MB

Lectori salutem! The kind reader opens the book that its authors would have liked to read it themselves, but it was not written yet. Then, their only choice was to write this book, to fill a gap in the mathematicalliterature. The idea of convexity has appeared in the human mind since the antiquity and its fertility has led to a huge diversity of notions and of applications.
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Topological Spaces: Including a Treatment of Multi-Valued Functions, Vector Spaces and Convexity

Posted By: roxul
Date: 7 Oct 2021 05:22:07
Topological Spaces: Including a Treatment of Multi-Valued Functions, Vector Spaces and Convexity

Claude Berge, "Topological Spaces: Including a Treatment of Multi-Valued Functions, Vector Spaces and Convexity "
English | ISBN: 0486696537 | 2010 | 288 pages | PDF | 8 MB
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Calculus of Variations II

Posted By: AvaxGenius
Date: 17 Oct 2020 02:26:46
Calculus of Variations II

Calculus of Variations II by Mariano Giaquinta
English | PDF | 2004 | 676 Pages | ISBN : 3642081924 | 51 MB

This long-awaited book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins, partly in applications, e.g. from geometrical optics, of parts of the theory.
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A Course in Multivariable Calculus and Analysis

Posted By: AvaxGenius
Date: 15 Mar 2020 21:34:06
A Course in Multivariable Calculus and Analysis

A Course in Multivariable Calculus and Analysis by Sudhir R. Ghorpade
English | True PDF | 2009 | 495 Pages | ISBN : 1441916202 | 6.95 MB

This self-contained textbook gives a thorough exposition of multivariable calculus. It can be viewed as a sequel to the one-variable calculus text, A Course in Calculus and Real Analysis, published in the same series.
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