Publisher's Synopsis
Mathematics is used in a large variety of real world applications. The general public applies arithmetic in grocery shopping, financial mathematics is applied in commerce and economics, statistics is used in many fields (e.g., marketing and experimental sciences), number theory is used in information technology and cryptography, surveyors apply trigonometry, operations research techniques are applied to logistics across diverse industries, and the list of applications of mathematics is endless. Applied mathematics focuses on the creation and study of mathematical and computational tools broadly applicable in science and engineering, and on their use in solving challenging problems in these and related fields. Applied mathematics involves the application of mathematics to problems which arise in various areas, e.g., science, engineering or other diverse areas, and/or the development of new or improved methods to meet the challenges of new problems. Therefore, the emphasis is on both the mathematics, e.g. the development of new methods to meet the challenges of new problems, and the real world. The problems come from various applications, such as physical and biological sciences, engineering, and social sciences. Their solutions require knowledge of various branches of mathematics, such as analysis, differential equations, and stochastics, utilizing analytical and numerical methods. Principles of Applied Mathematics, a compilation of research articles, provides a comprehensive look at how classical methods are used in many fields and contexts. Applied Mathematics (AM) is dedicated to the latest advancements in applied mathematics. The goal of this book is to assist scientists and academicians, and discuss various new issues and developments in different areas of applied mathematics. From ecological modeling to electromagnetic theory, from robotics to meteorology, areas of investigation in Applied Mathematics are diverse. Such applications can occur in any field of human endeavor. Most commonly known are those in science, economics or engineering, where, for example, Einstein invented the general theory of relativity by applying methods from differential geometry to the structure of space and time; Arrow probed the limits of democracy as an institution by calculating the probabilities that decisions cannot be reached on purely rational terms; Black, Sholes and Merton wrote down a fundamental formula for the price of an option, by applying the theory of random walks to the stock market; Shannon characterized an information source in mathematical terms, and in so doing laid the quantitative basis for modern information technology. The application of mathematics has been greatly influential in many spheres of science, industry, and society for describing the past, understanding or analyzing the present, and predicting the future. But applied mathematics, by virtue of the fundamental tool, is inclined to be largely theoretical and miss out on its great potential. It is of utmost importance that modeling projects always have the larger goals of application in mind and clearly present the important practical results to the appropriate community of influence, without esoteric rhetoric of mathematical details. It is also important to remember that the emphasis in the phrase 'applied mathematics' is not in the word 'mathematics' but in that it is 'applied'. Mathematics is used in a large variety of real world applications. The general public applies arithmetic in grocery shopping, financial mathematics is applied in commerce and economics, statistics is used in many fields (e.g., marketing and experimental sciences), number theory is used in information technology and cryptography, surveyors apply trigonometry, operations research techniques are applied to logistics across diverse industries, and the list of applications of mathematics is endless. Applied mathematics focuses on the creation and study of mathematical and computational tools broadly applicable in science and engineering, and on their use in solving challenging problems in these and related fields. Applied mathematics involves the application of mathematics to problems which arise in various areas, e.g., science, engineering or other diverse areas, and/or the development of new or improved methods to meet the challenges of new problems. Therefore, the emphasis is on both the mathematics, e.g. the development of new methods to meet the challenges of new problems, and the real world. The problems come from various applications, such as physical and biological sciences, engineering, and social sciences. Their solutions require knowledge of various branches of mathematics, such as analysis, differential equations, and stochastics, utilizing analytical and numerical methods. Principles of Applied Mathematics, a compilation of research articles, provides a comprehensive look at how classical methods are used in many fields and contexts. Applied Mathematics (AM) is dedicated to the latest advancements in applied mathematics. The goal of this book is to assist scientists and academicians, and discuss various new issues and developments in different areas of applied mathematics. From ecological modeling to electromagnetic theory, from robotics to meteorology, areas of investigation in Applied Mathematics are diverse. Such applications can occur in any field of human endeavor. Most commonly known are those in science, economics or engineering, where, for example, Einstein invented the general theory of relativity by applying methods from differential geometry to the structure of space and time; Arrow probed the limits of democracy as an institution by calculating the probabilities that decisions cannot be reached on purely rational terms; Black, Sholes and Merton wrote down a fundamental formula for the price of an option, by applying the theory of random walks to the stock market; Shannon characterized an information source in mathematical terms, and in so doing laid the quantitative basis for modern information technology. The application of mathematics has been greatly influential in many spheres of science, industry, and society for describing the past, understanding or analyzing the present, and predicting the future. But applied mathematics, by virtue of the fundamental tool, is inclined to be largely theoretical and miss out on its great potential. It is of utmost importance that modeling projects always have the larger goals of application in mind and clearly present the important practical results to the appropriate community of influence, without esoteric rhetoric of mathematical details. It is also important to remember that the emphasis in the phrase 'applied mathematics' is not in the word 'mathematics' but in that it is 'applied'. Mathematics is used in a large variety of real world applications. The general public applies arithmetic in grocery shopping, financial mathematics is applied in commerce and economics, statistics is used in many fields (e.g., marketing and experimental sciences), number theory is used in information technology and cryptography, surveyors apply trigonometry, operations research techniques are applied to logistics across diverse industries, and the list of applications of mathematics is endless. Applied mathematics focuses on the creation and study of mathematical and computational tools broadly applicable in science and engineering, and on their use in solving challenging problems in these and related fields. Applied mathematics involves the application of mathematics to problems which arise in various areas, e.g., science, engineering or other diverse areas, and/or the development of new or improved methods to meet the challenges of new problems. Therefore, the emphasis is on both the mathematics, e.g. the development of new methods to meet the challenges of new problems, and the real world. The problems come from various applications, such as physical and biological sciences, engineering, and social sciences. Their solutions require knowledge of various branches of mathematics, such as analysis, differential equations, and stochastics, utilizing analytical and numerical methods. Principles of Applied Mathematics, a compilation of research articles, provides a comprehensive look at how classical methods are used in many fields and contexts. Applied Mathematics (AM) is dedicated to the latest advancements in applied mathematics. The goal of this book is to assist scientists and academicians, and discuss various new issues and developments in different areas of applied mathematics. From ecological modeling to electromagnetic theory, from robotics to meteorology, areas of investigation in Applied Mathematics are diverse. Such applications can occur in any field of human endeavor. Most commonly known are those in science, economics or engineering, where, for example, Einstein invented the general theory of relativity by applying methods from differential geometry to the structure of space and time; Arrow probed the limits of democracy as an institution by calculating the probabilities that decisions cannot be reached on purely rational terms; Black, Sholes and Merton wrote down a fundamental formula for the price of an option, by applying the theory of random walks to the stock market; Shannon characterized an information source in mathematical terms, and in so doing laid the quantitative basis for modern information technology. The application of mathematics has been greatly influential in many spheres of science, industry, and society for describing the past, understanding or analyzing the present, and predicting the future. But applied mathematics, by virtue of the fundamental tool, is inclined to be largely theoretical and miss out on its great potential. It is of utmost importance that modeling projects always have the larger goals of application in mind and clearly present the important practical results to the appropri
