Synopsis
This book delves into the fascinating realm of arbitrary-precision arithmetic, offering a deep dive into the development and implementation of a FORTRAN program designed to perform calculations with an impressive level of accuracy. The author, a physicist, recognised the limitations of standard computer arithmetic in scientific problems where significant digits can be lost due to cancellations. Set against the backdrop of the 1970s, when computational power was rapidly evolving, this work addresses the need for more robust numerical methods in physics and applied mathematics. The book meticulously details the structure of the program, explaining the representation of numbers, the storage of digits in arrays, and the algorithms for performing arithmetic operations like addition, subtraction, multiplication, and division. Beyond the technical intricacies, the author explores the broader implications of arbitrary-precision arithmetic. The ability to calculate with a large number of digits opened doors to tackling complex problems in various scientific disciplines and provided a means to verify the accuracy of existing computational routines. This book serves as a testament to the ingenuity of mathematicians and physicists in pushing the boundaries of numerical computation, ultimately contributing to a deeper understanding of the physical world.
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Fortran Program for Arbitrary Precision Arithmetic (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating realm of arbitrary-precision arithmetic, offering a deep dive into the development and implementation of a FORTRAN program designed to perform calculations with an impressive level of accuracy. The author, a physicist, recognised the limitations of standard computer arithmetic in scientific problems where significant digits can be lost due to cancellations. Set against the backdrop of the 1970s, when computational power was rapidly evolving, this work addresses the need for more robust numerical methods in physics and applied mathematics. The book meticulously details the structure of the program, explaining the representation of numbers, the storage of digits in arrays, and the algorithms for performing arithmetic operations like addition, subtraction, multiplication, and division. Beyond the technical intricacies, the author explores the broader implications of arbitrary-precision arithmetic. The ability to calculate with a large number of digits opened doors to tackling complex problems in various scientific disciplines and provided a means to verify the accuracy of existing computational routines. This book serves as a testament to the ingenuity of mathematicians and physicists in pushing the boundaries of numerical computation, ultimately contributing to a deeper understanding of the physical world. 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 # 9780266338284_0
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Fortran Program for Arbitrary Precision Arithmetic Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780266338284
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Fortran Program for Arbitrary Precision Arithmetic Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780266338284
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