A Computational Introduction to Quantum Physics (1版)

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【簡介】 This concise textbook introduces an innovative computational approach to quantum mechanics. Over the course of this engaging and informal book, students are encouraged to take an active role in learning key concepts by working through practical exercises. The book equips readers with some basic methodology and a toolbox of scientific computing methods, so they can use code to simulate and directly visualize how quantum particles behave. The important foundational elements of the wave function and the Schrödinger equation are first introduced, then the text gradually builds up to advanced topics including relativistic, open, and non-Hermitian quantum physics. This book assumes familiarity with basic mathematics and numerical methods, and can be used to support a two-semester advanced undergraduate course. Source code and solutions for every book exercise involving numerical implementation are provided in Python and MATLAB(R), along with supplementary data. Additional problems are provided online for instructor use with locked solutions.

An Introduction to Gravity (1版)

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【簡介】 Why can't you take Newtonian gravity, add special relativity, and build a relativistic theory of gravity that matches the predictions of our accepted theory, Einstein's general relativity? Ideal for a

An Introduction to General Relativity and Cosmology (2版)

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【簡介】 Experts Plebański and Krasiński provide a thorough introduction to the tools of general relativity and relativistic cosmology. Assuming familiarity with advanced calculus, classical mechanics, electrodynamics and special relativity, the text begins with a short course on differential geometry, taking a unique top-down approach. Starting with general manifolds on which only tensors are defined, the covariant derivative and affine connection are introduced before moving on to geodesics and curvature. Only then is the metric tensor and the (pseudo)-Riemannian geometry introduced, specialising the general results to this case. The main text describes relativity as a physical theory, with applications to astrophysics and cosmology. It takes the reader beyond traditional courses on relativity through in-depth descriptions of inhomogeneous cosmological models and the Kerr metric. Emphasis is given to complete and clear derivations of the results, enabling readers to access research articles published in relativity journals.

Introduction To The Method Of Fundamental Solutions, An (1版)

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【簡介】 Over the past two decades, the method of fundamental solutions (MFS) has attracted great attention and has been used extensively for the solution of scientific and engineering problems. The MFS is a boundary meshless collocation method which has evolved from the boundary element method. In it, the approximate solution is expressed as a linear combination of fundamental solutions of the operator in the governing partial differential equation.One of the main attractions of the MFS is the simplicity with which it can be applied to the solution of boundary value problems in complex geometries in two and three dimensions. The method is also known by many different names in the literature such as the charge simulation method, the de-singularization method, the virtual boundary element method, etc.Despite its effectiveness, the original version of the MFS is confined to solving boundary value problems governed by homogeneous partial differential equations. To address this limitation, we introduce various types of particular solutions to extend the method to solving general inhomogeneous boundary value problems employing the method of particular solutions.This book consists of two parts. Part I aims to provide theoretical support for beginners. In the spirit of reproducible research and to facilitate the understanding of the method and its implementation, several MATLAB codes have been included in Part II.This book is highly recommended for use by post-graduate researchers and graduate students in scientific computing and engineering.

Introduction to Propriety Economics (1版)

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【簡介】 　　In ancient times，scholars such as Confucius and Aristotle expounded on the virtue of the “middle way” or “intermediate,” an ideal point of moderation or balance between the extremes of human behavior。 Adam Smith，widely considered the father of modern economics as we know it，also encouraged propriety in his first work，The Theory of Moral Sentiments。 Since then，different schools of economics have continued to incorporate the idea of propriety into their theories，for example in such concepts as equilibrium and bounded rationality，though few economists have defined it explicitly。 In light of growing uncertainty and polarization around the world，propriety economics offers alternative solutions for markets，governments，and everyday citizens。 　 　　This book embarks on a thorough review of Eastern and Western philosophies of propriety over the past 2,500 years，followed by an investigation of the ideas of propriety found in five key schools of economics: classical，neoclassical，institutional，behavioral，and cultural economics。 The author then outlines the core principles and recommended practices for the study and implementation of propriety economics in the future。 With its unique mixture of theory，literature reviews，methods，and case studies，this book will be useful not only to economic scholars，but also historians，policy makers，and any reader with an interest in making the economy work better for the benefit of all humankind。   【目錄】 Table of Contents Chapter 1 Introduction Chapter 2 The Origin and Definition of Propriety Philosophy Chapter 3 Balance and Equilibrium in Classical and Neoclassical Economics Chapter 4 The Neutrality of Institutional Economics and the Subjectivity of Behavioral Economics Chapter 5 Shared Values in Cultural Economics and the Definition of Propriety Economics Chapter 6 Trichotomism and Propriety Economic Theory Chapter 7 Research Methodology of Propriety Economics Chapter 8 Government Policy Principles in Propriety Economics Chapter 9 Macro Case Studies in Propriety Economics Chapter 10 Conclusion   看更多