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Cardone Fabio: Energy Space Time:
Introducing Energy Metrics Of Interacti

Energy Space Time: Introducing Energy Metrics Of Interactions In Five Dimensions

Intended for graduate and advanced undergraduate students, this textbook is a thoroughly modern introduction to and a self-contained treatise on the theoretical and mathematical fundamentals of General Relativity. The chapters are organized into three parts, with the first covering Maxwell's theory of electromagnetism, the relativistic Kepler problem, and the systematics of the underlying geometry, with the more abstract notion of the fibre bundle relegated to the Appendix. The second part begins with a derivation of the Einstein equations and leads to topics such as cosmology, black holes, causal structures, and action principles. The third part covers the canonical formulation of field theory in general and General Relativity in particular, leading to the concept of the total energy in General Relativity and quantum phenomena with event horizons. The book minimizes historical references, focuses on modern tools, examples, and applications, and emphasizes the commonalities between relativistic gravity and gauge theory.

Gravitation for Theorists

The monograph focuses on the analytical challenges of describing incompressible fluid flows using Lagrangian variables. The Lagrangian method is presented as a complementary approach to the Eulerian method for studying fluid motion. The fundamental nature of fluid dynamics is linked to tracing the trajectories of individual fluid particles, which is precisely what the Lagrangian method facilitates.

The purpose of this publication is to reflect as fully as possible the achievements of analytical fluid dynamics in Lagrangian variables. A significant part of it consists of original articles by the author. Considerable attention is paid to the subtleties of the Lagrangian description and its popularization among experts in fluid dynamics, students, postgraduates, and anyone interested in problems of fluid mechanics.

The book can be considered, among other things, as a tutorial on Lagrangian fluid dynamics. The book covers issues of the general description of the movement of incompressible fluid, problems of classical hydrodynamics and geophysical hydrodynamics. Fundamental topics include free-boundary motion, vortices in fluids, and water waves. The book includes a number of problems that take into account the stratification and viscosity of fluids, as well as the rotation of the Earth.

Analytical Fluid Dynamics In Lagrangian Variables

Practical Examples with Python Tools

Essential Math for Physics Undergraduates

This textbook is relevant to BSc/MSc students interested in mathematical modeling and simulation. It brings together analysis, calculus and numerical methods presented in a single coherent volume. Particular attention is given to engineering mathematics, addressing modeling, analysis, method development, implementation and testing of algorithms, as well as application to actual problems and critical interpretation of the results. The book can be used throughout bachelor programs and parts of masters programs, presenting a comprehensive suite of courses that link formal abstract thinking on the one hand to intuitive model formulation, critical algorithm development and interpretation of results on the other hand. The books contains numerous examples of practical applications from physics, technology, biology and chemistry. It also contains an introduction to Matlab and C for algorithm development and computational analysis.&nbsp;Software and solutions to selected problems are included.

This textbook is relevant to BSc/MSc students interested in mathematical modeling and simulation. It brings together analysis, calculus and numerical methods presented in a single coherent volume. Particular attention is given to engineering mathematics, addressing modeling, analysis, method development, implementation and testing of algorithms, as well as application to actual problems and critical interpretation of the results. The book can be used throughout bachelor programs and parts of masters programs, presenting a comprehensive suite of courses that link formal abstract thinking on the one hand to intuitive model formulation, critical algorithm development and interpretation of results on the other hand. The books contains numerous examples of practical applications from physics, technology, biology and chemistry. It also contains an introduction to Matlab and C for algorithm development and computational analysis.&nbsp;Software and solutions to selected problems are included.

Mathematical Modeling and Simulation

Origami Engineering: Combining Science, Art, And Industry

Many-Body Green's Functions for Time-Dependent Problems

Series in Computational Biophysics

Multiscale methods are ideally suited to simulate the processes at work in many biomolecular systems, which often span a large range of time and length scales. Multiscale Methods in Molecular Biophysics highlights the advantages of these methods for integrating different levels of detail in a single simulation setting. It covers the practical methodology and successful applications in areas such as enzyme catalysis, protein folding, and ligand binding. The book is divided into three main sections: combination quantum and classical (atomistic) descriptions, approaches that combine atomistic and coarse-grained level of details, and multiscale methods where the resolution coupling is between global collective coordinates and local details.

Multiscale methods are ideally suited to simulate the processes at work in many biomolecular systems, which often span a large range of time and length scales. Multiscale Methods in Molecular Biophysics highlights the advantages of these methods for integrating different levels of detail in a single simulation setting. It covers the practical methodology and successful applications in areas such as enzyme catalysis, protein folding, and ligand binding. The book is divided into three main sections: combination quantum and classical (atomistic) descriptions, approaches that combine atomistic and coarse-grained level of details, and multiscale methods where the resolution coupling is between global collective coordinates and local details.

Multiscale Methods in Molecular Biophysics

Why Not Nonlinear Algebra: Math, Science, Applications And Funding

Metrical Fixed Point Theory, originating from the 1922 Banach Fixed Point Theorem, is one of the most dynamic areas within Operator Equations Theory. This book aims to discuss the foundational aspects of this theory, focusing on questions of existence, uniqueness, and approximation in operator equations - whether explicit or implicit, anticipative or non-anticipative - across standard, ordered, and relational metric spaces. Key themes include implicit methods for analyzing metrical contractions, factorial techniques for reducing coincidence point problems to standard fixed point ones, homotopical fixed point results in gauge spaces with ordered metric space parameters, and constant class reduction of PPF-dependent fixed point results.

The book is structured into four chapters. Chapter 1 provides an overview of essential preliminary concepts. Chapter 2 delves into various contraction classes within bi-relational, local Branciari, and ordered metric spaces. Chapter 3 applies maximal techniques to address the discussed questions, and Chapter 4 explores additional topics, including contractive-type conditions derived from self and non-self maps. Through this structure, the book offers a comprehensive view of the core aspects and applications of Metrical Fixed Point Theory.

Modern Topics In Metrical Fixed Point Theory

Das Buch bietet einen didaktisch ausgearbeiteten Einstieg in die theoretische Strömungsmechanik und gibt gleichzeitig Einblicke in die Vielfalt ihrer Anwendungen in Natur und Technik. Der Schwerpunkt liegt auf der Aerodynamik für niedrigere Fluggeschwindigkeiten, die unvermindert von hohem praktischen Wert ist, jedoch in der Einführungsliteratur meist zu kurz kommt.Bei den Herleitungen wird darauf Wert gelegt, die entsprechenden Begriffe und Zusammenhänge zu veranschaulichen. Damit richtet sich der Text in erster Linie an Studierende der Mathematik, die eine Brücke zu ingenieurtechnischen Anwendungen suchen. Ebenso sollte er für Ingenieure nützlich sein, die sich für die Herleitung der Formeln und Hintergründe interessieren.Zur lückenlosen Verständlichkeit wurden zahlreiche Zwischenschritte beim Rechnen, die für gewöhnlich dem Leser überlassen werden, in Aufgaben verpackt. Ergänzt durch Fragen zum Konzeptverständnis werden sie im Lösungsteil nachgerechnet. Damit bleibt die Darstellung für einen breiten Interessentenkreis von Nutzen.Über den AutorRaj Spielmann ist promovierter Mathematiker und Autor mehrerer Lehrbücher. Zu seinen Interessengebieten gehören die Strömungsmechanik sowie die Modellierung biologischer Prozesse.

Das Buch bietet einen didaktisch ausgearbeiteten Einstieg in die theoretische Strömungsmechanik und gibt gleichzeitig Einblicke in die Vielfalt ihrer Anwendungen in Natur und Technik. Der Schwerpunkt liegt auf der Aerodynamik für niedrigere Fluggeschwindigkeiten, die unvermindert von hohem praktischen Wert ist, jedoch in der Einführungsliteratur meist zu kurz kommt.Bei den Herleitungen wird darauf Wert gelegt, die entsprechenden Begriffe und Zusammenhänge zu veranschaulichen. Damit richtet sich der Text in erster Linie an Studierende der Mathematik, die eine Brücke zu ingenieurtechnischen Anwendungen suchen. Ebenso sollte er für Ingenieure nützlich sein, die sich für die Herleitung der Formeln und Hintergründe interessieren.Zur lückenlosen Verständlichkeit wurden zahlreiche Zwischenschritte beim Rechnen, die für gewöhnlich dem Leser überlassen werden, in Aufgaben verpackt. Ergänzt durch Fragen zum Konzeptverständnis werden sie im Lösungsteil nachgerechnet. Damit bleibt die Darstellung für einen breiten Interessentenkreis von Nutzen.

Eine anwendungsorientierte Einführung mit ausführlichen Herleitungen

Theoretische Strömungsmechanik

Series on Knots & Everything

Shape And Energies Of Geometric Objects

Energy Space Time: Introducing Energy Metrics Of Interactions In Five Dimensions

Weitere Titel zum Thema