Synopsis
This book presents a novel, computer-based method to systematically explore symmetry-related features within complex mathematical equations. The study of symmetries has been widely used by scientists for centuries to simplify and accelerate the process of finding solutions to equations, especially in cases where traditional methods fail or become impractical. Using a combination of automated processes and human guidance, this book describes a method for finding groups of transformations under which partial differential equations remain invariant. Such transformations allow for a reduction in the number of independent variables in the equation, potentially enabling solutions to be found for complex differential equations using standard methods from ordinary differential equations. The method is described step-by-step, making it accessible to a broad audience of mathematicians, physicists, and engineers seeking to apply this technique to their own research. In addition, the author provides a historical context for understanding the broader field of studying symmetries within equations, helping readers understand how this work builds on past scholarship while representing a significant advancement in the field.
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Similarity Solutions of Systems of Partial Differential Equations Using Macsyma
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Paperback. Condition: New. Print on Demand. This book presents a novel, computer-based method to systematically explore symmetry-related features within complex mathematical equations. The study of symmetries has been widely used by scientists for centuries to simplify and accelerate the process of finding solutions to equations, especially in cases where traditional methods fail or become impractical. Using a combination of automated processes and human guidance, this book describes a method for finding groups of transformations under which partial differential equations remain invariant. Such transformations allow for a reduction in the number of independent variables in the equation, potentially enabling solutions to be found for complex differential equations using standard methods from ordinary differential equations. The method is described step-by-step, making it accessible to a broad audience of mathematicians, physicists, and engineers seeking to apply this technique to their own research. In addition, the author provides a historical context for understanding the broader field of studying symmetries within equations, helping readers understand how this work builds on past scholarship while representing a significant advancement in the field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333766733_0
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Similarity Solutions of Systems of Partial Differential Equations Using Macsyma Classic Reprint
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SIMILARITY SOLUTIONS OF SYSTEM
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Condition: New. KlappentextrnrnExcerpt from Similarity Solutions of Systems of Partial Differential Equations Using MacsymaHere we introduce the use of the algebraic computing system macsyma to facilitate these calculations. Specifically, macsyma is use. Seller Inventory # 2148081138
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