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Selected Works Of Roderick S. C. Wong,
The - Volume 4

Selected Works Of Roderick S. C. Wong, The - Volume 4

This is a comprehensive and state-of-the-art compendium of Newtonian-Eulerian (momentum/vectorial) mechanics, from an advanced and unified (i.e. continuum) viewpoint "elementary" simply means no Lagrangean and no Hamiltonian theories / methods, otherwise the level is graduate and beyond; yet, the presentation is eminently readable and inclusive: the style is informal and the mathematics (this Achilles heel of modern mechanics books, especially of the applied/multi-body ones) has been kept to the simplest necessary for a work of this level and scope (see below) all ahistorical and intuition-deadening jargon and formalisms have been intentionally avoided. As such, the book continues, renovates, and expands the grand tradition laid by such educational 20th century "elementary mechanics" classics as those written by (alphabetically): Butenin, Coe, Fox, Hamel, Lur'e, Magnus, Milne, Nielsen, Parkus, Pars, Synge, Szab, Voigt et al. Specifically: The book opens with a unique part "sub-book" ("zeroth approximation") on the history of theoretical and applied mechanics from classical antiquity (Greece) to late 20th cent., including many hundreds of portraits and photos of famous researchers in mechanics, and famous quotes; Next and to make this volume as self-contained as possible, and establish better communication with the readers an extensive, handbook-like, exposition of the necessary mathematics is presented, i.e. algebra + calculus of Cartesian vectors and tensors, and linear algebra / matrices (in both indicial and direct notations); Then, the main course follows, i.e. a detailed treatment of the fundamentals of (the exact, nonlinear) kinematics, kinetics (and some thermodynamics) of particles, rigid bodies, and deformable continua (i.e. of Euler, Cauchy, Hamel et al.); most basic concepts and general equations are discussed, as well as their approximations (linearizations etc.) the emphasis is on ideas and results of permanent interest.

Elementary Mechanics (In 2 Volumes)

Storytelling with Data Box Set

This book teaches readers how to analyse data using a programming language called 'R'. R is freely available software and is easily the most widely used program in ecology and evolutionary biology, and is quickly becoming the program-of-choice in other fields such as neuroscience and psychology.

A Practical Guide for the Life Sciences and Beyond

Applied Statistics with R

Medical Dosage Calculations For Dummies

This book covers a broad range of questions related to the importance of cell geometry in many areas, including nuclear positioning, chromosome dynamics, cytoskeletal remodeling, tissue patterning, cell-matrix and multicellular contacts. It also addresses medical implications, from its implication in the development of tumors to its role in fibrosis. Together, the chapters in this book will highlight current knowledge and modern approaches to investigating the biophysical design principles underlying key biological functions, with the overall goal of elucidating the connections between cell geometry and nuclear mechanics.

Cell Geometry

Series in Materials Science and Engineering

This book provides an introduction to the geometrical and topological methods that have become essential tools for soft condensed matter physicists. The emphasis is on providing mathematical tools in clear but precise language, focusing on fundamental concepts using real examples to illustrate for readers in vivid, three-dimensional fashion. The motivation is clearly provided using problems from soft condensed matter, from the packing of colloids to liquid crystals and thermal fluctuations of lipid membranes.

Geometry and Topology of Soft Materials

Scaling (zooming in or out) is taking a close or distant view of an object. Infinite scaling (the scaling parameter tends to zero or infinity) may lead to a limit which is self-similar and much simpler than the original object. For instance, the classical Donsker's theorem says that all weakly dependent stationary processes with finite variance scale to Brownian motion at large scales. In the case of a random field indexed by two-dimensional parameter, both types of scaling can be anisotropic, meaning that the horizontal and vertical axes are scaled at different rate determined by the ratio γ&gt;0 of the scaling exponents along the axes. The natural questions under such scaling are whether the scaling limits exist for any γ&gt;0, and what are these limits are. The book tries to answer these questions. It introduces the concept of scaling transition and discusses its existence for a natural class of planar random fields including Gaussian, linear and some nonlinear ones. The scaling limits are identified and exhibit a surprising trichitomy at a critical point γ0, with 'unbalanced' limits having unusual path properties and dependence structure along one of the coordinate axes. Scaling transition occurs in applied sciences (telecommunications and econometrics) when aggregating independent processes with long-range dependence in which case 'unbalanced' limits are classical Gaussian or stable random fields.

Anisotropic Scaling Of Random Fields With Long-range Dependence: Scaling Limits Of Random Fields With Applications

This book is designed as an introductory course in Quantum Field Theory (QFT) for students who have completed two full graduate-level courses in Quantum Mechanics (QM). Quantum Field Theory is the framework that combines quantum mechanics with special relativity, providing a comprehensive description of fundamental forces and particles. It is a crucial part of modern theoretical physics and essential for understanding the behaviour of elementary particles, the dynamics of fields, and the interactions that govern the universe at the smallest scales. This book is structured to gradually introduce the key concepts and mathematical tools necessary for mastering QFT. Each chapter builds on the knowledge acquired in previous sections, ensuring a coherent and comprehensive understanding of the subject. The material presented here helps doctoral students bridge the gap between the traditional quantum mechanics taught at the graduate level and the more advanced concepts and techniques used in quantum field theory. Key Features:<ul> <li>Specifically designed to connect traditional quantum mechanics knowledge with quantum field theory.</li> <li>Presents a coherent learning path, including end-of-chapter trivia questions and problems, that gradually introduces the concepts and skills needed for grasping QFT.</li> <li>Tailored for doctoral-level physics students, ensuring appropriate depth and complexity.</li> </ul>

For Doctoral Level Physics

A First Graduate Course in Quantum Field Theory

This book is the first one that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. They develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.

Zeroing Dynamics, Gradient Dynamics, and Newton Iterations

Cambridge Mathematical Textbooks

Bridge the gap between theoretical concepts and their practical applications with this rigorous introduction to the mathematics underpinning data science. It covers essential topics in linear algebra, calculus and optimization, and probability and statistics, demonstrating their relevance in the context of data analysis. Key application topics include clustering, regression, classification, dimensionality reduction, network analysis, and neural networks. What sets this text apart is its focus on hands-on learning. Each chapter combines mathematical insights with practical examples, using Python to implement algorithms and solve problems. Self-assessment quizzes, warm-up exercises and theoretical problems foster both mathematical understanding and computational skills. Designed for advanced undergraduate students and beginning graduate students, this textbook serves as both an invitation to data science for mathematics majors and as a deeper excursion into mathematics for data science students.

Bridging Theory and Applications with Python

Mathematical Methods in Data Science

Based on years of teaching experience, this book provides a clearly structured and accessible introduction to the fundamental principles of quantum mechanics, tailored for undergraduate students.The text builds a strong conceptual and mathematical foundation while promoting intuitive understanding and critical thinking. Students progress from basic concepts such as wave mechanics to more advanced topics within matrix mechanics. Complex concepts are presented in a diligent and understandable way, achieving a balance between conceptual insight and mathematical rigor without oversimplifying the subject.Thoroughly class-tested, this book is designed to support both classroom instruction and independent study. It will serve as a great tool for undergraduates studying introductory and intermediate quantum mechanics, as well as modern physics and quantum systems for engineers.

Nonrelativistic Theory

A First Course in Quantum Mechanics

Thermal and Flow Measurements spans the basics of measurement methods to the advanced diagnostic applications in experiments and testing. It provides a foundational understanding of how to measure flow rates, temperature, pressure and other key parameters in fluid and thermal processes.Offering in-depth technical treatments of underlying physics, ranging from optics and electromagnetics to quantum mechanics, the book demonstrates how to design and apply measurements in mechanical, aerospace, and chemical engineering processes. It features new sections on image-based particle velocimetry, high-speed velocimetry, satellite-based methods for scaled measurements, and AI in image analysis, advanced laser diagnostics, and remote sensing. It also includes end-of-chapter problems and exercises.The book is intended for senior undergraduate and graduate engineering students studying experimental methods and measurement.Instructors will be able to utilize a Solutions Manual and Figure Slides for their course.

Thermal and Flow Measurements

Selected Works Of Roderick S. C. Wong, The - Volume 4

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