Suppose multiplication over rationals was defined as follows: "For any two rationals a//b and c//d where a, b, c, d 0 € Z, the product is given by a//bx c//d = ad//bc 22 Explain what goes wrong here and how does this definition restrict us in further developing the calculus of rationals. Provide sound mathematical reasoning to support your explanation.

Suppose multiplication over rationals was defined as follows: "For any two rationals a//b and c//d where a, b, c, d 0 € Z, the product is given by a//bx c//d = ad//bc 22 Explain what goes wrong here and how does this definition restrict us in further developing the calculus of rationals. Provide sound mathematical reasoning to support your explanation.

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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