{"product_id":"algorithms-for-minimization-without-derivatives-dover-books-on-mathematics","title":"Algorithms for Minimization Without Derivatives (Dover Books on Mathematics)","description":"\u003ch3\u003eBook Details\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: Richard P. Brent\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguage\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9780486419985\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePages\u003c\/strong\u003e: 208\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eCover\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRelease Date\u003c\/strong\u003e: 20-03-2013\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eDimensions\u003c\/strong\u003e: 8.4 x 5.4 x 0.7 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Illustrated\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eAbout The Book\u003c\/h3\u003e\n\u003cp\u003e\u003cem\u003eAlgorithms for Minimization without Derivatives\u003c\/em\u003e by Richard P. Brent is an essential text for graduate students and researchers interested in optimization and numerical analysis. The book explores the process of finding local and global minima for functions without the need for derivative evaluation. This is particularly important in practical scenarios where derivatives are difficult or impossible to compute, a common challenge in many scientific and engineering problems.\u003c\/p\u003e\n\u003cp\u003eBrent's work provides significant improvements to existing algorithms, extending their mathematical theories and offering new, practical algorithms for approximating minima. The book covers a range of topics including:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003eSuccessive interpolation for finding simple zeros of a function and its derivatives.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eAn algorithm with guaranteed convergence for minimizing a function of one variable.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eGlobal minimization techniques given an upper bound on the second derivative.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eA new algorithm for minimizing functions of several variables without the need for derivatives.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eIn addition to the theoretical discussion, the book is supported by numerous numerical examples. It includes a complete analysis of the rate of convergence for most algorithms, as well as error bounds that account for rounding errors, making it an invaluable resource for those involved in computational mathematics.\u003c\/p\u003e\n\u003ch3\u003eKey Features:\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eNo Derivatives Required\u003c\/strong\u003e: All algorithms are based on sequential function evaluation, eliminating the need for derivative calculations.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePractical Algorithms\u003c\/strong\u003e: Designed for scenarios where derivatives are difficult to evaluate, making the book highly practical for real-world applications.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eConvergence Analysis\u003c\/strong\u003e: Provides a thorough analysis of the rate of convergence and error bounds, critical for understanding the performance of the algorithms.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eNumerical Examples\u003c\/strong\u003e: The text includes numerous examples to illustrate the algorithms and their applications.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eThis book is an indispensable resource for anyone working in optimization, numerical methods, or computational science, particularly when dealing with functions where derivatives are not readily available.\u003c\/p\u003e","brand":"HarperCollins","offers":[{"title":"Default Title","offer_id":49905758077232,"sku":"Sarat_9780486419985","price":1066.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/harpercollins-book-default-title-algorithms-for-minimization-without-derivatives-dover-books-on-mathematics-41195608670512.jpg?v=1775960771","url":"https:\/\/www.retailmaharaj.com\/products\/algorithms-for-minimization-without-derivatives-dover-books-on-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}