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From Approximate Variation to Pointwise Selection Principles

Posted By: AvaxGenius
From Approximate Variation to Pointwise Selection Principles

From Approximate Variation to Pointwise Selection Principles by Vyacheslav V. Chistyakov
English | PDF,EPUB | 2021 | 91 Pages | ISBN : 3030873986 | 7.3 MB

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.

Graphs and Discrete Dirichlet Spaces

Posted By: AvaxGenius
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Graphs and Discrete Dirichlet Spaces

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.

A Mathematical Journey to Quantum Mechanics

Posted By: AvaxGenius
A Mathematical Journey to Quantum Mechanics

A Mathematical Journey to Quantum Mechanics by Salvatore Capozziello
English | PDF,EPUB | 2021 | 294 Pages | ISBN : 3030860973 | 20.6 MB

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.

Motion of a Drop in an Incompressible Fluid

Posted By: AvaxGenius
Motion of a Drop in an Incompressible Fluid

Motion of a Drop in an Incompressible Fluid by I. V. Denisova
English | PDF,EPUB | 2021 | 319 Pages | ISBN : 3030700526 | 30.8 MB

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.

Basic Analysis V: Functional Analysis and Topology

Posted By: yoyoloit
Basic Analysis V: Functional Analysis and Topology

Basic Analysis V
by Peterson, James K.;

English | 2022 | ISBN: 1138055131 | 574 pages | True EPUB | 6.4 MB

Integral and Functional Analysis (Updated Edition)

Posted By: yoyoloit
Integral and Functional Analysis (Updated Edition)

Integral and Functional Analysis (Updated Edition)
by Xiao, Jie;

English | 2021 | ISBN: 1536192805 | 414 pages | True PDF | 10.81 MB

Mathematical Logic

Posted By: AvaxGenius
Mathematical Logic

Mathematical Logic by Petio Petrov Petkov
English | DJVU | 1990 | 405 Pages | ISBN : 030643511X | 49.4 MB

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.

Nonlinear Functional Analysis and Its Applications

Posted By: AvaxGenius
Nonlinear Functional Analysis and Its Applications

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.

A First Course in Functional Analysis: Theory and Applications

Posted By: roxul
A First Course in Functional Analysis: Theory and Applications

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

Finite Elements I: Approximation and Interpolation

Posted By: AvaxGenius
Finite Elements I: Approximation and Interpolation

Finite Elements I: Approximation and Interpolation by Alexandre Ern
English | PDF,EPUB | 2021 | 323 Pages | ISBN : 3030563405 | 46.6 MB

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.

Elements of the Theory of Functions

Posted By: ksveta6
Elements of the Theory of Functions

Elements of the Theory of Functions (Dover Books on Mathematics) by Konrad Knopp
2016 | ISBN: 0486601544 | English | 160 pages | EPUB | 20 MB

Introduction to Functional Analysis

Posted By: roxul
Introduction to Functional Analysis

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

The Mathematical Legacy of Victor Lomonosov

Posted By: sasha82
The Mathematical Legacy of Victor Lomonosov

The Mathematical Legacy of Victor Lomonosov (Advances in Analysis and Geometry, 2) by Richard M Aron
2020 | ISBN: 3110653397 | English | 364 pages | PDF | 7 MB

Shape Optimization Problems

Posted By: AvaxGenius
Shape Optimization Problems

Shape Optimization Problems by Hideyuki Azegami
English | PDF,EPUB | 2020 | 662 Pages | ISBN : 9811576173 | 72.5 MB

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.

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

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

Bo'az Klartag, "Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume II (Lecture Notes in Mathematics "
English | ISBN: 3030467619 | 2020 | 358 pages | EPUB, PDF | 20 MB + 4 MB