From Approximate Variation to Pointwise Selection Principles

Posted By: AvaxGenius

Date: 22 Oct 2021 10:24:46

The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation. The new notion of approximate variation contains more information about the bounded variation functional and has the following features: the infimum in the definition of approximate variation is not attained in general and the total Jordan variation of a function is obtained by a limiting procedure as a parameter tends to zero.

Science Optimization Mathematics Functional Analysis Topology

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Graphs and Discrete Dirichlet Spaces

Posted By: AvaxGenius

Date: 22 Oct 2021 10:18:54

Graphs and Discrete Dirichlet Spaces by Matthias Keller
English | PDF | 2021 | 675 Pages | ISBN : 3030814580 | 7.8 MB

The spectral geometry of infinite graphs deals with three major themes and their interplay: the spectral theory of the Laplacian, the geometry of the underlying graph, and the heat flow with its probabilistic aspects. In this book, all three themes are brought together coherently under the perspective of Dirichlet forms, providing a powerful and unified approach.

Science Mathematics Spectral graph theory Graph Laplacian Graph Theory Functional Analysis Probability Theory Stochastic Processes Global Analysis Operator Theory

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A Mathematical Journey to Quantum Mechanics

Posted By: AvaxGenius

Date: 27 Sep 2021 09:34:29

This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined.

Science Physics Quantum Mechanics Elementary Particles Quantum Field Theory Lagrangian Mechanics Analytic Mechanics Quantum Theory Functional Analysis Operator Algebra Theoretical Particle Physics Hamiltonian Mechanics Mathematical Physics

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Motion of a Drop in an Incompressible Fluid

Posted By: AvaxGenius

Date: 20 Sep 2021 21:16:07

This mathematical monograph details the authors' results on solutions to problems governing the simultaneous motion of two incompressible fluids. Featuring a thorough investigation of the unsteady motion of one fluid in another, researchers will find this to be a valuable resource when studying non-coercive problems to which standard techniques cannot be applied. As authorities in the area, the authors offer valuable insight into this area of research, which they have helped pioneer. This volume will offer pathways to further research for those interested in the active field of free boundary problems in fluid mechanics, and specifically the two-phase problem for the Navier-Stokes equations.

Science Mathematics Functional Analysis Analysis Mathematical Methods Physics Continuum Physics Classical Physics

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Basic Analysis V: Functional Analysis and Topology

Posted By: yoyoloit

Date: 8 Sep 2021 06:50:33

Basic Analysis V: Functional Analysis and Topology

Basic Analysis Functional Analysis Topology

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Integral and Functional Analysis (Updated Edition)

Posted By: yoyoloit

Date: 4 Aug 2021 09:23:41

Functional Analysis mathematics

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Mathematical Logic

Posted By: AvaxGenius

Date: 29 Jun 2021 07:07:49

The present volume consists of invited and selected papers. Included are all the invited lectures submitted for publication and the 14 selected contributions, chosen out of 56 submissions by the Selection Committee. The selection was made on the basis of reports of PC members, an average of 4 per sLlbmission. All the papers are concentrated on the topics of the Meeting: Recursion Theory, Modal and Non-classical Logics, Intuitionism and Constructivism, Related Applications to Computer and Other Sciences, Life and Work of Arend Heyting.

Field Theory Functional Analysis Logic Mathematical Logic Analysis Science Science Science

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Nonlinear Functional Analysis and Its Applications

Posted By: AvaxGenius

Date: 14 Apr 2021 17:45:29

Nonlinear Functional Analysis and Its Applications by Radu Precup
English | PDF | 2021 | 148 Pages | ISBN : N/A | 3 MB

Originally, functional analysis was that branch of mathematics capable of investigating in an abstract way a series of linear mathematical models from science. The study of these linear models—in fact, only first approximations of real models—proved insufficient, so the theory had to be extended to be able to describe the nonlinear phenomena themselves. In this way nonlinear functional analysis was born and continues to develop, becoming a vast and fascinating field of mathematics, with deep applications to increasingly complex problems in physics, biology, chemistry, and economics.

Nonlinear Science Economics Nonlinear Functional Analysis Engineering Functional Analysis Mathematics Technology

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A First Course in Functional Analysis: Theory and Applications

Posted By: roxul

Date: 26 Feb 2021 17:49:28

Rabindranath Sen, "A First Course in Functional Analysis: Theory and Applications"
English | ISBN: 0857283200 | 2013 | 486 pages | PDF | 2 MB

Functional Analysis Mathematics Science

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Finite Elements I: Approximation and Interpolation

Posted By: AvaxGenius

Date: 18 Feb 2021 17:21:01

This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed during lecture, with the rest of the content assigned as reading material. To engage the reader, the text combines examples, basic ideas, rigorous proofs, and pointers to the literature to enhance scientific literacy.

Science Finite Elements Functional Analysis Finite Element Method Differential Calculus and Geometry Mathematics ePub Interpolation

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Elements of the Theory of Functions

Posted By: ksveta6

Date: 13 Dec 2020 19:18:19

Functional Analysis Science ePub Mathematics

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Introduction to Functional Analysis

Posted By: roxul

Date: 1 Dec 2020 08:20:12

Christian Clason, "Introduction to Functional Analysis "
English | ISBN: 3030527832 | 2020 | 182 pages | PDF | 2 MB

Functional Analysis Science Mathematics

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The Mathematical Legacy of Victor Lomonosov

Posted By: sasha82

Date: 27 Nov 2020 15:47:32

Functional Analysis Mathematics Science Advanced Mathematical Analysis Mathematical Analysis

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Shape Optimization Problems

Posted By: AvaxGenius

Date: 30 Sep 2020 09:05:57

This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background. Non-parametric shape optimization problems are defined as problems of finding the shapes of domains in which boundary value problems of partial differential equations are defined.

Numerical Analysis Optimization Theory Science Mathematical Programming Variational Calculus Shape Optimization Problems Functional Analysis Mathematics ePub

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Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume II (Lecture Notes in Mathematics

Posted By: roxul

Date: 8 Jul 2020 18:19:03

Functional Analysis Science Geometric ePub Mathematics

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