operations are defined, + and - . Two fields are {C; +, } and {R; +, ·} with the usual addition and multiplication operations. These fields are simply denoted by C and R. Another field is the field of rational functions with real coefficients R(s). (b) A subset of R(s) is the set of proper rational functions R,(s). Give a reason why {R,(8); +, ·} is not a field.

operations are defined, + and - . Two fields are {C; +, } and {R; +, ·} with the usual addition and multiplication operations. These fields are simply denoted by C and R. Another field is the field of rational functions with real coefficients R(s). (b) A subset of R(s) is the set of proper rational functions R,(s). Give a reason why {R,(8); +, ·} is not a field.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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