Titlebook: Numerical Mathematics: Exercises in Computing with a Desk Calculator; A. J. Moakes Textbook 1963Latest edition Macmillan Publishers Limite

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https://doi.org/10.1007/978-1-349-81610-1applied mathematics; mathematics; numerical analysis

DEAWL

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

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

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

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

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

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

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%.