A good book on Mathematical modelling

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For effective mathematical modeling using experimental data, a strong foundation in calculus, algebra, probability, and differential equations is essential. "Numerical Recipes in C" is highlighted as a valuable resource for learning numerical methods applicable to modeling. The discussion emphasizes the importance of understanding both theoretical concepts and practical applications in creating predictive models. Recommendations for additional resources and books on mathematical modeling may enhance learning further. Engaging with comprehensive texts can significantly improve modeling skills and prediction accuracy.
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i want to learn how to use experimental data to produce effective mathematical model for good prediction of any phenomenon. my mathematical background is : i know about single and multivariable calculus,college algebra,introductory probability theory,trigonometry,vector algebra and calculus,and differential equations.
 
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Numerical Recipes in C has been quite helpful for me. The 3rd edition now goes by the name Numerical Recipes.
 
Thread 'Video on imaginary numbers and some queries'

Thread 'Video on imaginary numbers and some queries'

Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
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Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
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Thread 'Unit Circle Double Angle Derivations'

Thread 'Unit Circle Double Angle Derivations'

Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
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