If you are a Mathematics major after high-school (Class X), then just revisit your Calculus book. In Calculus, you will find that they teach limits, domain, range and differentiation first and then Integration.
Do you ever wonder why this approach? If you have to learn to integrate then why do we need to differentiate. Or let me put it this way – Can you learn the importance and exact working principles of integration if you don't have command on former topics?
Exact integration can be done only when you understand the limits, domains, ranges and purpose and procedures of differentiation properly. By nature humans learn and love to differentiate. They try to classify each and everything, and try to decider the limits accordingly.
Those who becomes too much obsessed with differentiation, enjoy a part of it so much that they forgot to learn the integration as former is enjoyable and make them feel GOD like. Yet few differentiation learn the basics of integration and do so within their own range but my concerns are about those who learn the high levels but choose to remain inactive or focus particular domains only leaving the rest.What is their actual perspective for such an action. They sometimes allow the ongoing process of differentiation and sometimes even support it.
Of course one unanswered question is – Who is the supreme differentiators and integrator? Are two different persons or the same? A true mathematician barely thinks about it as I have never heard of a non-believer mathematician. Have You?
Do you ever wonder why this approach? If you have to learn to integrate then why do we need to differentiate. Or let me put it this way – Can you learn the importance and exact working principles of integration if you don't have command on former topics?
Exact integration can be done only when you understand the limits, domains, ranges and purpose and procedures of differentiation properly. By nature humans learn and love to differentiate. They try to classify each and everything, and try to decider the limits accordingly.
Those who becomes too much obsessed with differentiation, enjoy a part of it so much that they forgot to learn the integration as former is enjoyable and make them feel GOD like. Yet few differentiation learn the basics of integration and do so within their own range but my concerns are about those who learn the high levels but choose to remain inactive or focus particular domains only leaving the rest.What is their actual perspective for such an action. They sometimes allow the ongoing process of differentiation and sometimes even support it.
Of course one unanswered question is – Who is the supreme differentiators and integrator? Are two different persons or the same? A true mathematician barely thinks about it as I have never heard of a non-believer mathematician. Have You?
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