Optimisation, in mathematics, as well as in other fields, is to make the "best of". Given a situation, it is often maximising a positive aspect (for example profits), or minimising a negative aspect (for example, costs) subject to a set of constraints (for example, the number of machines). There are also situations where the best solution is very difficult to find (the knapsack problem) but some procedures can guide you towards the best.
Mathematics"mathematics" is a plural noun already, the subject is Mathematics!
there is no difference between Mathematics and Arithmetic because Arithmetic is a branch of mathematics. there is no difference between Mathematics and Arithmetic because Arithmetic is a branch of mathematics.
mathematics
Neither, mathematics is plural. The plural possessive is mathematics'.
There is no evidence Egyptian and Greek mathematics are linked.
A. O. Converse has written: 'Optimization' -- subject(s): Mathematical optimization, Programming (Mathematics)
Jeffrey L. Ringuest has written: 'Multiobjective optimization' -- subject(s): Mathematical optimization, Multiple criteria decision making, Programming (Mathematics)
Andrew Kurdila has written: 'Robust optimization-directed design' -- subject(s): Mathematical optimization, Programming (Mathematics), System theory 'Convex Functional Analysis (Systems & Control)'
Yasuo Murata has written: 'Mathematics for stability and optimization of economic systems' -- subject(s): Mathematical Economics
Po-Yang Jay Liu has written: 'Comparison of optimization algorithms applied to aerodynamic design' -- subject(s): Mathematics, Mathematical optimization, Fluid dynamics, Mathematical models, Aerodynamics
V. N. Fomin has written: 'Optimal filtering' -- subject(s): Mathematical optimization, Filters (Mathematics)
Anthony L. Peressini has written: 'The mathematics of nonlinear programming' -- subject(s): Mathematical optimization, Nonlinear programming
Stephan Dempe has written: 'Optimization with multivalued mappings' -- subject(s): Nonconvex programming, Nonlinear programming, Set-valued maps, Game theory 'Foundations of bilevel programming' -- subject(s): Mathematical optimization, Programming (Mathematics)
Kenneth R. Baker has written: 'Elements of Sequencing & Scheduling' -- subject(s): Production scheduling 'Optimization modeling with spreadsheets' -- subject(s): Mathematical models, Mathematical optimization, Managerial economics, Electronic spreadsheets, Programming (Mathematics)
Rainer E. Burkard has written: 'Methoden der ganzzahligen Optimierung' -- subject(s): Mathematical optimization, Programming (Mathematics)
George Hadley has written: 'Elementary statistics' -- subject(s): Probabilities, Statistics 'Nonlinear and dynamic programming' -- subject(s): Mathematical optimization, Programming (Mathematics) 'Elementary business mathematics' -- subject(s): Business mathematics 'Analysis of inventory systems' -- subject(s): Mathematical models, Inventories
An optimization is what is compiled by an optimization compiler. An optimization compiler compiles optimizations. You're welcome.