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Klasik Mekanik ve Kaos: Yayılımından Fizik Kitabı 1
Hardcover
General MathematicsGeneral Science
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Publisher: Golden Tao Publishing
Published: Aug 28 2026
Pages: 326
Weight: 1.33
Height: 0.75 Width: 6.00 Depth: 9.00
Language: Turkish
Bu, İngilizce orijinalinden yapılmış bir çeviridir.
Bu kitap, nokta parçacık hareketinin klasik formülasyonlarından başlayarak klasik mekaniğin bir açıklamasını sunmaktadır. Klasik mekanik iyice yerleştikten sonra, birçok sistemde hareket için iki alan olduğu fark edildi: kaotik olmayan ve kaotik. Bu, klasik mekaniğin modern bir açıklamasıdır ve dolayısıyla kaos teorisini ve daha sonraki teorik gelişmelerle olan bağlantıları da içermektedir. Açıklama, baştan sona, çoğu çözülmüş, diğerleri okuyucuya bırakılmış ilginç problemlerin sunumundan oluşmaktadır. Problemler, Caltech, Oxford ve Wisconsin Üniversitesi'nde alınan klasik mekanik ve matematik derslerinden alınmıştır. Dersler, lisans düzeyinden ileri lisansüstü düzeyine kadar uzanmaktadır. Bekleyebileceğiniz gibi, derslerde zengin ve gelişmiş bir ders kitabı ve referans materyali seçkisi vardı ve bu referans metinleri de burada benzer şekilde kullanılmıştır. Materyali inceledikçe, artan karmaşıklıkta sıradan diferansiyel denklemleri (örneğin, sürtünme kuvveti eklenmesiyle daha karmaşık sarkaç hareketine karşılık gelen) incelediğimizi göreceğiz. Diferansiyel denklemlerin temelindeki matematiksel prensiplerle olan bu güçlü uyum, uygulamalı matematik perspektifinden diferansiyel denklemlerin hızlı bir özetini sunmak üzere bir ek bölümün eklenmesini motive etmektedir.
Temelinde yer alan sıradan diferansiyel denklem teorisinin, kaos da dahil olmak üzere, modern bir açıklamasına ek olarak, diğer ana modern unsurlar, klasik mekanik teorisinin kuantum mekaniği ve Özel Görelilik gibi henüz ortaya çıkmamış teorilere nasıl köprü kurabileceğini göstermektir. Klasik Mekaniğin, Kuantum Mekaniğinin kolayca (analitik genişletme/devam ettirme veya Abelyen'den Abelyen olmayan'a cebirsel modifikasyon yoluyla) gösterildiği beş teorik uygulama alanı vardır ve bu alanlar ayrıntılı olarak açıklanmıştır. Benzer şekilde, Özel Göreliliğin gösterildiği üç deneysel uygulama alanı da açıklanmıştır.
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