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https://doi.org/10.1007/978-1-349-81610-1applied mathematics; mathematics; numerical analysisDEAWL 发表于 2025-3-22 05:04:45
Conversion of Units. Interest. Errors,This chapter is an extension and continuation of the previous one. What is new is arithmetical rather than mechanical.助记 发表于 2025-3-22 11:16:45
Sequences: Evaluation. Summation and Differences for Polynomials,A sequence of numbers ., ., .,… can be evaluated in turn, given the value of . and a rule connecting successive values. In this case the rule is S. = S.(.)+. and . = ..SHRIK 发表于 2025-3-22 15:22:47
Iterative Methods, Including Starting Procedure,To find the square root of a number . to any required degree of accuracy, starting with a reasonable first approximation .. Calculate in turn the numbers .; . and so on, the general relation being ..FANG 发表于 2025-3-22 19:56:30
Statistical and Allied Calculations,Statistics is a branch of applied mathematics which is concerned with deriving from a set of numerical data — often a very large set — certain numerical measures which will indicate the principal features of the set, either considered alone or in comparison with another set.cylinder 发表于 2025-3-22 22:50:28
Solution of Linear Equations,In this chapter we can only give the reader, by means of simple examples free from pitfalls, an outline of the two main lines of approach, viz: elimination (Exx. 8.1 to 8.5) and successive approximation (Exx.8.6 to 8.9).序曲 发表于 2025-3-23 02:43:43
Numerical Integration,This process is equivalent to finding the area ‘under’ a curve . = .(.) between given ordinates, by calculation of a series of ordinates at intervals throughout the range ; e.g. to find . by dividing the range 0 to . of . into a number of parts, usually . of width . so that . = ..accordance 发表于 2025-3-23 09:05:52
Numerical Differentiation,Consideration of the graph of a function shows that . will give a result to rather . % accuracy than the worst of the data: e.g. if a function is represented to 1% or less over the whole range, then the Simpson formula will generally give a result well within 1%.