Distribution Theory And Applications
Abdellah El-kinani · Mohamed Oudadess
Nis 2010 · Series On Concrete And Applicable Mathematics Kitap 9 · World Scientific Publishing Company
E-kitap
220
Sayfa
family_home
Uygun
info
reportPuanlar ve yorumlar doğrulanmaz Daha Fazla Bilgi
Bu e-kitap hakkında
This book is an introductory course to the very important theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs). It begins with a chapter of general interest, on the fundamental spaces (or test function spaces). The book advances and concludes with a chapter on Sobolev spaces, which are known to be very important in the resolution of PDEs.The very basic properties of distributions are examined in detail. Several formal methods have been first used, without rigorous justifications (Dirac function, principal value of Cauchy, finite parts of Hadamard). They find their natural frame in distribution theory. It is the same for Laplace transformation which is a fundamental tool in symbolic calculations.A detailed treatment is given to the convolution product for it is a central theme in distribution theory. Another very important instrument, covered in several chapters, is the Fourier transformation which is among the most fundamental tools in different mathematical disciplines, and also in physics. Convolution algebras, which are sufficient for the treatment of classical PDEs, are used in various applications.The general frame for the resolution of PDEs is the theory of kernels — the first elements of which are sufficient to show the practicality of distribution theory in applications.Comments are provided to clarify the settings and sustain calculations. This book may be used by mathematicians, physicists, engineers and graduate students.
Yazar hakkında
Abdellah El Kinani (Ecole Normale Supérieure de Takaddoum, Morocco);Mohamed Oudadess (Ecole Normale Supérieure de Takaddoum, Morocco)
Bu e-kitaba puan verin
Düşüncelerinizi bizimle paylaşın.
Okuma bilgileri
Akıllı telefonlar ve tabletler
Android ve iPad/iPhone için Google Play Kitaplar uygulamasını yükleyin. Bu uygulama, hesabınızla otomatik olarak senkronize olur ve nerede olursanız olun çevrimiçi veya çevrimdışı olarak okumanıza olanak sağlar.
Dizüstü bilgisayarlar ve masaüstü bilgisayarlar
Bilgisayarınızın web tarayıcısını kullanarak Google Play'de satın alınan sesli kitapları dinleyebilirsiniz.
e-Okuyucular ve diğer cihazlar
Kobo eReader gibi e-mürekkep cihazlarında okumak için dosyayı indirip cihazınıza aktarmanız gerekir. Dosyaları desteklenen e-kitap okuyuculara aktarmak için lütfen ayrıntılı Yardım Merkezi talimatlarını uygulayın.
