Handbook of Floating-Point Arithmetic

Name: Handbook of Floating-Point Arithmetic
Brand: Springer International Publishing
SKU: 3874745

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3938915Handbook of Floating-Point Arithmetichttps://www.gandhi.com.mx/handbook-of-floating-point-arithmetic-9783319765266/phttps://gandhi.vtexassets.com/arquivos/ids/2947780/7c0d3bb6-f588-4303-9cdb-4d7e262a0ebe.jpg?v=63838466949877000028873208MXNSpringer International PublishingInStock/Ebooks/This handbook is a definitive guide to the effective use of modern floating-point arithmetic, which has considerably evolved, from the frequently inconsistent floating-point number systems of early computing to the recent IEEE 754-2008 standard. Most of computational mathematics depends on floating-point numbers, and understanding their various implementations will allow readers to develop programs specifically tailored for the standards technical features. Algorithms for floating-point arithmetic are presented throughout the book and illustrated where possible by example programs which show how these techniques appear in actual coding and design.The volume itself breaks its core topic into four parts: the basic concepts and history of floating-point arithmetic; methods of analyzing floating-point algorithms and optimizing them; implementations of IEEE 754-2008 in hardware and software; and useful extensions to the standard floating-point system, such as interval arithmetic, double- and triple-word arithmetic, operations on complex numbers, and formal verification of floating-point algorithms. This new edition updates chapters to reflect recent changes to programming languages and compilers and the new prevalence of GPUs in recent years. The revisions also add material on fused multiply-add instruction, and methods of extending the floating-point precision.As supercomputing becomes more common, more numerical engineers will need to use number representation to account for trade-offs between various parameters, such as speed, accuracy, and energy consumption. The Handbook of Floating-Point Arithmetic is designed for students and researchers in numerical analysis, programmers of numerical algorithms, compiler designers, and designers of arithmetic operators....3874745Handbook of Floating-Point Arithmetic28873208https://www.gandhi.com.mx/handbook-of-floating-point-arithmetic-9783319765266/phttps://gandhi.vtexassets.com/arquivos/ids/2947780/7c0d3bb6-f588-4303-9cdb-4d7e262a0ebe.jpg?v=638384669498770000InStockMXN99999DIEbook20189783319765266_W3siaWQiOiI4ZDVhODMwYy1kNmE2LTQzM2QtYWM0Mi0zNTZhMWE2NTU5MzIiLCJsaXN0UHJpY2UiOjMyMzcsImRpc2NvdW50IjozMjMsInNlbGxpbmdQcmljZSI6MjkxNCwiaW5jbHVkZXNUYXgiOnRydWUsInByaWNlVHlwZSI6Ildob2xlc2FsZSIsImN1cnJlbmN5IjoiTVhOIiwiZnJvbSI6IjIwMjQtMTItMTlUMDY6MDA6MDBaIiwicmVnaW9uIjoiTVgiLCJpc1ByZW9yZGVyIjpmYWxzZX1d9783319765266_Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program.The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research....(*_*)9783319765266_This handbook is a definitive guide to the effective use of modern floating-point arithmetic, which has considerably evolved, from the frequently inconsistent floating-point number systems of early computing to the recent IEEE 754-2008 standard. Most of computational mathematics depends on floating-point numbers, and understanding their various implementations will allow readers to develop programs specifically tailored for the standards technical features. Algorithms for floating-point arithmetic are presented throughout the book and illustrated where possible by example programs which show how these techniques appear in actual coding and design.The volume itself breaks its core topic into four parts: the basic concepts and history of floating-point arithmetic; methods of analyzing floating-point algorithms and optimizing them; implementations of IEEE 754-2008 in hardware and software; and useful extensions to the standard floating-point system, such as interval arithmetic, double- and triple-word arithmetic, operations on complex numbers, and formal verification of floating-point algorithms. This new edition updates chapters to reflect recent changes to programming languages and compilers and the new prevalence of GPUs in recent years. The revisions also add material on fused multiply-add instruction, and methods of extending the floating-point precision.As supercomputing becomes more common, more numerical engineers will need to use number representation to account for trade-offs between various parameters, such as speed, accuracy, and energy consumption. The Handbook of Floating-Point Arithmetic is designed for students and researchers in numerical analysis, programmers of numerical algorithms, compiler designers, and designers of arithmetic operators....9783319765266_Springer International Publishinglibro_electonico_6e915c06-10fe-37cf-9855-50573f29deff_9783319765266;9783319765266_9783319765266Serge TorresInglésMéxico2018-05-02T00:00:00+00:00Springer International Publishing