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A Computational Differential Geometry Approach to Grid Generation (Repost)

Posted By: AvaxGenius
A Computational Differential Geometry Approach to Grid Generation (Repost)

A Computational Differential Geometry Approach to Grid Generation by Vladimir D. Liseikin
English | PDF | 2007 | 301 Pages | ISBN : 3540342354 | 4.9 MB

The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This monograph gives a detailed treatment of applications of geometric methods to advanced grid technology. It focuses on and describes a comprehensive approach based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces. In this second edition the author takes a more detailed and practice-oriented approach towards explaining how to implement the method by:

Trends in Nonlinear Analysis

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Trends in Nonlinear Analysis

Trends in Nonlinear Analysis by Markus Kirkilionis
English | PDF | 2003 | 427 Pages | ISBN : 3540441980 | 40.5 MB

Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed.

Quantum Mechanics: Genesis and Achievements

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Quantum Mechanics: Genesis and Achievements

Quantum Mechanics: Genesis and Achievements by Alexander Komech
English | PDF | 2013 | 294 Pages | ISBN : 9400755414 | 2.9 MB

The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible for mathematicians and other non-physicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized (whenever possible) on the basis of the coupled Schroedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in mathematical and physical science studies.

Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds

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Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds

Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds by Uwe Mühlich
English | PDF(True) | 2017 | 134 Pages | ISBN : 3319562630 | 3 MB

This book presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept.

Quantum Thermodynamics: Emergence of Thermodynamic Behavior Within Composite Quantum Systems

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Quantum Thermodynamics: Emergence of Thermodynamic Behavior Within Composite Quantum Systems

Quantum Thermodynamics: Emergence of Thermodynamic Behavior Within Composite Quantum Systems by Jochen Gemmer
English | PDF(True) | 2009 | 338 Pages | ISBN : 3540705090 | 7.5 MB

This introductory text treats thermodynamics as an incomplete description of quantum systems with many degrees of freedom. Its main goal is to show that the approach to equilibrium—with equilibrium characterized by maximum ignorance about the open system of interest—neither requires that many particles nor is the precise way of partitioning, relevant for the salient features of equilibrium and equilibration. Furthermore, the text depicts that it is indeed quantum effects that are at work in bringing about thermodynamic behavior of modest-sized open systems, thus making Von Neumann’s concept of entropy appear much more widely useful than sometimes feared, far beyond truly macroscopic systems in equilibrium.

Principles of Quantum Mechanics

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Principles of Quantum Mechanics

Principles of Quantum Mechanics by R. Shankar
English | PDF | 1994 | 679 Pages | ISBN : 0306447908 | 68 MB

Reviews from the First Edition:
"An excellent text … The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner." (American Scientist)

Integral Methods in Science and Engineering, Volume 1: Analytic Methods

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Integral Methods in Science and Engineering, Volume 1: Analytic Methods

Integral Methods in Science and Engineering, Volume 1: Analytic Methods by Christian Constanda
English | PDF | 2010 | 350 Pages | ISBN : 0817648984 | 4 MB

Mathematical models—including those based on ordinary, partial differential, integral, and integro-differential equations—are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for practitioners to be able to find their solutions by analytic and/or computational means. This two-volume set is a collection of up-to-date research results that illustrate how a very important class of mathematical tools can be manipulated and applied to the study of real-life phenomena and processes occurring in specific problems of science and engineering.

Integral Methods in Science and Engineering, Volume 2: Computational Aspects

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Integral Methods in Science and Engineering, Volume 2: Computational Aspects

Integral Methods in Science and Engineering, Volume 2: Computational Aspects by Christian Constanda
English | PDF | 2010 | 380 Pages | SBN : 0817648968 | 27.7 MB

Mathematical models—including those based on ordinary, partial differential, integral, and integro-differential equations—are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for practitioners to be able to find their solutions by analytic and/or computational means. This two-volume set is a collection of up-to-date research results that illustrate how a very important class of mathematical tools can be manipulated and applied to the study of real-life phenomena and processes occurring in specific problems of science and engineering.

Arithmetic and Geometry Around Quantization (Repost)

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Arithmetic and Geometry Around Quantization (Repost)

Arithmetic and Geometry Around Quantization by Özgür Ceyhan
English | PDF | 2010 | 295 Pages | ISBN : 0817648305 | 3.9 MB

In recent decades, quantization has led to interesting applications in various mathematical branches. This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program, quantum ergodicity, and non-commutative geometry. A wide range of topics related to quantization are covered, giving a glimpse of the broad subject. The articles are written by distinguished mathematicians in the field and reflect subsequent developments following the Arithmetic and Geometry around Quantization conference held in Istanbul.

Introduction to Quantum Groups

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Introduction to Quantum Groups

Introduction to Quantum Groups by George Lusztig
English | PDF | 2010 (Reprint of the 1994 Edition) | 361 Pages | ISBN : 0817637125 | 21.2 MB

The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. It is shown that these algebras have natural integral forms that can be specialized at roots of 1 and yield new objects, which include quantum versions of the semi-simple groups over fields of positive characteristic.

Modern Introductory Physics

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Modern Introductory Physics

Modern Introductory Physics by Charles H. Holbrow
English | PDF(True) | 2010 | 670 Pages | ISBN : 0387790799 | 9.4 MB

Modern Introductory Physics, 2nd Edition, by Charles H. Holbrow, James N. Lloyd, Joseph C. Amato, Enrique Galvez, and Beth Parks, is a successful innovative text for teaching introductory college and university physics. It is thematically organized to emphasize the physics that answers the fundamental question: Why do we believe in atoms and their properties? The book provides a sound introduction to basic physical concepts with particular attention to the nineteenth- and twentieth-century physics underlying our modern ideas of atoms and their structure.

Theory of Spinors and Its Application in Physics and Mechanics (Repost)

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Theory of Spinors and Its Application in Physics and Mechanics (Repost)

Theory of Spinors and Its Application in Physics and Mechanics by Vladimir A. Zhelnorovich
English | EPUB | 2019 | 402 Pages | ISBN : 3030278352 | 22.1 MB

This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered.

The Pleasures of Probability

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The Pleasures of Probability

The Pleasures of Probability by Richard Isaac
English | PDF | 1995 | 249 Pages | ISBN : 038794415X | 22.5 MB

The ideas of probability are all around us. Lotteries, casino gambling, the al­ most non-stop polling which seems to mold public policy more and more­ these are a few of the areas where principles of probability impinge in a direct way on the lives and fortunes of the general public. At a more re­ moved level there is modern science which uses probability and its offshoots like statistics and the theory of random processes to build mathematical descriptions of the real world. In fact, twentieth-century physics, in embrac­ ing quantum mechanics, has a world view that is at its core probabilistic in nature, contrary to the deterministic one of classical physics.

Theory of Spinors and Its Application in Physics and Mechanics (Repost)

Posted By: AvaxGenius
Theory of Spinors and Its Application in Physics and Mechanics (Repost)

Theory of Spinors and Its Application in Physics and Mechanics by Vladimir A. Zhelnorovich
English | PDF | 2019 | 402 Pages | ISBN : 3030278352 | 4.6 MB

This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered.