Many beginners find physics to be a challenging subject to learn, and the difficulty extends to each branch of physics. It would be preferable for beginners to learn about different branches of physics as quickly as possible with a simplified understanding of the relevant mathematical relationships. After learning the position of each field in physics, it becomes easier to learn details of each field. In this book, special functions are not used to explain the solutions of equations. Fundamentals of Analysis In Physics summarizes the analytical methods in different fields of physics The book covers several known fields of physics and is a useful text for beginners in physics, college and university students, and working professionals who may not have a background in mathematics or physics. Key features: - Summarizes information about different fields in physics in 150 pages - Covers 7 different fields of physics (classical mechanics, electromagnetism, quantum mechanics, relativistic quantum mechanics, statistical mechanics and more) in 7 separate chapters -Contains simple explanations without the use of special functions.

This volume presents a clear understanding of the quantum mechanics of particles with reference to the current understanding of theory of relativity, gravitation, and electromagnetism, including essential phenomena as spin, the graviton spin, black holes, and the quantum particle states in the extreme conditions of a black hole formation, and of the Schwarzschild boundary. The reader is introduced to the recent theory of the quantum particle dynamics as a distribution of matter propagating with the velocity of the waves. The text describes this distribution by a Fourier space-time series expansion, which we call the wave function. The subsequent chapters delve into the mechanics of quantum particles in a gravitational field, charged particles in a gravitational field and finally, the least action and matter-field dynamics in a gravitational field. The book also explains important rules in quantum mechanics such as the mass quantization rule, Dirac’s formulation of the general theory of relativity, electromagnetic field theory, quantum particle interactions and more. The volume serves as a concise introduction to the complex topic of quantum particle mechanics for scholars involved in advanced physics courses.

This book details the development of techniques and ideas from the radial basis function. It begins with a mathematical description of the basic concept of radial function method with chapters progressively delving into the derivation and construction of radial basis functions for large-scale wave propagation problems including singularity problems, high-frequency wave problems and large-scale computation problems. This reference, written by experts in numerical analysis, demonstrates how the functions arise naturally in mathematical analyses of structures responding to external loads. Readers are also equipped with mathematical knowledge about the radial basis function for understanding key algorithms required for practical solutions. Key features: - Introduces basic concepts of radial basis function methods - Provides detailed derivations of several radial basis functions - Explains complex problems using simple language - Contains a wide range of numerical examples to demonstrate applications of relevant functions - Combines the radial basis function with other known numerical methods (boundary element methods and differential equations). - Includes references and appropriate chapter appendices - Includes MATLAB codes for origin intensity factors and nearly singular factors for radial basis calculations The book is designed to make information about radial basis function methods more accessible to research scientists, professional engineers and postgraduate students, with a specific focus on large-scale wave propagation problems.

Turbulent Flow and Boundary Layer Theory: Selected Topics and Solved Problems explains fundamental concepts of turbulent flow with boundary layer analysis. A general introduction to turbulent flow familiarizes the reader with the mechanics of turbulence in fluid flow in both nature and engineering applications. The book also explains related concepts including transient flow, methods for controlling transients, turbulent models and dynamic equations for unsteady flow through closed conduits. The contents of the book are designed to help both students and teachers in carrying out turbulent flow analysis and solving problems in engineering and hydraulic applications. Key Features - all the basic concepts in turbulent flow are clearly identified and presented in a simple manner with illustrative and practical examples. - includes a self-contained approach to the subject, indicating prerequisite materials and information needed from courses. - each chapter also has a set of questions and problems to test the student’s power of comprehending the topics. - provides an exhaustive appendix on interesting examples Turbulent Flow and Boundary Layer Theory: Selected Topics and Solved Problems a useful textbook for students of engineering. It also serves as a quick reference for professionals, researchers and project consultants involved with processes that require turbulent flow and boundary layer methods analysis.