SONLI USULLAR FANIDA INTEGRALLARNI TAQRIBIY HISOBLASH, TRAPETSIYA USULI
Keywords:
Sonli usullar, Integrallash, Taqribiy hisoblash, Trapetsiya usuli, Simpson usuli, C# dasturlash, Matematik analiz, Aniq integrallar, Tasodifiy namunalar, Parabolik interpolatsiya, Dasturlash tillari, Ilmiy tadqiqotlar, Muhandislik loyihalari,Ta'lim dasturlari.Abstract
Ushbu maqola sonli usullar fanida integrallarni taqribiy hisoblashning turli usullarini o‘rganadi va bu usullarning matematik modelini, amaliy qo‘llanilishini hamda C# dasturlash tilida ulardan foydalanish misollarini taqdim etadi. Maqola Trapetsiya usulini qanday ishlanishi va Simpson, Monte Carlo usullariga C# tilida taqqoslash dasturlaridan iborat va Trapetsiya usulning qo‘llanilishi yoritiladi, shuningdek, usulning matematik asosi va amaliyotda qanday qo‘llanilishi haqida tushuncha beradi.
References
Steven C. Chapra and Raymond P. Canale, "Numerical Methods for Engineers," 7th Edition, McGraw-Hill Education, 2014.Bu kitob sonli usullarni amaliyotda qo'llash va muhandislik muammolarini hal qilish uchun asosiy qo'llanma hisoblanadi.
Richard L. Burden and J. Douglas Faires, "Numerical Analysis," 9th Edition, Brooks/Cole, 2010.Sonli tahlilning keng qamrovli kitobi, integratsiya va differentsial usullarni o'z ichiga oladi.
Jaan Kiusalaas, "Numerical Methods in Engineering with Python 3," Cambridge University Press, 2013.Bu kitobda muhandislikda sonli usullarni Python dasturlash tili yordamida qo'llash yoritiladi.
Kendall E. Atkinson, "An Introduction to Numerical Analysis," 2nd Edition, John Wiley & Sons, 1989.Sonli analizga kirish, matematik asoslari va usullarini o'z ichiga oladi.
William H. Press et al., "Numerical Recipes: The Art of Scientific Computing," 3rd Edition, Cambridge University Press, 2007.Ilmiy hisoblash uchun keng qamrovli qo'llanma, sonli usullar va ularning dasturiy qo'llanilishi bilan.
Endre Süli and David F. Mayers, "An Introduction to Numerical Analysis," Cambridge University Press, 2003.Sonli tahlilning asosiy konseptsiyalari va usullari haqida batafsil ma'lumot beradi.
Josef Stoer and Roland Bulirsch, "Introduction to Numerical Analysis," 3rd Edition, Springer, 2002.Sonli analizga kirish, uning matematik asoslari va amaliy qo'llanilishiga oid keng qamrovli kitob.
David Kincaid and Ward Cheney, "Numerical Analysis: Mathematics of Scientific Computing," 3rd Edition, Brooks Cole, 2001.Ilmiy hisob-kitoblar uchun matematik yondashuvlar va sonli analiz usullari.
F.B. Hildebrand, "Introduction to Numerical Analysis," 2nd Edition, Dover Publications, 1987.Sonli tahlilning klassik metodlari, jumladan turli integratsiya usullari.
Gerald, Curtis F., and Patrick O. Wheatley, "Applied Numerical Analysis," 7th Edition, Pearson, 2003.Amaliy sonli tahlil, muhandislik va ilmiy masalalarni yechish uchun sonli usullarni qo'llash.
