Pembelajaran Mental Aritmatika di Indonesia sekarang telah menjadi sesuatu yang trendi. Orang tua merasa ketinggalan bila anaknya tidak ikut Mental Aritmatika. Di Bogor sendiri tempat-tempat untuk belajar Mental Aritmatika secara privat sangat banyak selang setahun ini, belum lagi yang langsung bekerja sama dengan sekolah-sekolah. Mental Aritmatika selama ini sering diidentikkan dengan Sempoa, padahal sebenarnya sangat berbeda. Untuk itu saya ingin mencoba memaparkan apa itu Mental Aritmatika.
While most introductory PDE courses spend a great deal of time investigating solutions using separation of variables, a powerful method that is good to know for studies in theoretical physics is the method of eigenfunction expansion. This method is useful because in many cases, equations cannot be solved using separation of variables. To understand the method, in what follows you can think in terms of expanding the function which solves the equation in a Fourier series. We then solve mode by mode-turning a single partial differential equation into a set of elementary ordinary differential equations that can be solved by inspection. Rather than trying to explain the techniques in words or with difficult to understand abstract theorems, let’s demonstrate how to use the method with two concrete examples.
Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns,[2][3] formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.[4]
Through the use of abstraction and logical reasoning, mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Mathematics continued to develop, for example in China in 300 BC, in India in AD 100, and in the Muslim world in AD 800, until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that continues to the present day.[5]
 |
