# مساعدة

مرحبا
الله يخليكم نحنا خريجات ونبغيكم اتساعدونا باي شي يتكلم عن Laplace Transform صور مقدمة اي شي ولكم منا كل الشكر والدعاء

بنات جامعة الامارات

[CENTER]The Laplace Transform : Theory and Applications

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The Laplace Transform: Theory and Applications (Undergraduate Texts in Mathematics)
By Joel L. Schiff
Publisher: Springer
Number Of Pages: 260
Publication Date: 1999-10-01
ISBN / ASIN: 0387986987

The Laplace transform is an extremely versatile technique for solving differential equations, both ordinary and partial. It can also be used to solve difference equations. The present text, while mathematically rigorous, is readily accessible to students of either mathematics or engineering. Even the Dirac delta function, which is normally covered in a heuristic fashion, is given a completely justifiable treatment in the context of the Riemann-Stieltjes integral, yet at a level an undergraduate student can appreciate. When it comes to the deepest part of the theory, the Complex Inversion Formula, a knowledge of poles, residues, and contour integration of meromorphic functions is required. To this end, an entire chapter is devoted to the fundamentals of complex analysis. In addition to all the theoretical considerations, there are numerous worked examples drawn from engineering and physics.
When applying the Laplace transform, it is important to have a good understanding of the theory underlying it, rather than just a cursory knowledge of its application. This text provides that understanding[/size]

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A. M. Cohen , «Numerical Methods for Laplace Transform Inversion »
Springer | ISBN:0387282610 | (July 13, 2007) | 266 pages | PDF | 1.65 MB
Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations. When solving such problems, in many cases it is fairly easy to obtain the Laplace transform, while it is very demanding to determine the inverse Laplace transform that is the solution of a given problem. Sometimes, after some difficult contour integration, we may find that a series solution results, but this may be quite difficult to evaluate in order to get an answer at a particular time value.

The advent of computers has given an impetus to developing numerical methods for the determination of the inverse Laplace transform. This book gives background material on the theory of Laplace transforms, together with a fairly comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms .

الطرق العددية لايجاد معكوس تحويلات لابلاس
الطرق العملياتية استخدمت لأكثر من قرن على حل مسائل المعادلات التفاضليه العاديه و الجزءيه. عندما نحل هذه المسائل ، في حالات كثيرة يسهل نسبيا الحصول على تحويل لابلاس ، في حين انها مهمة صعبة جدا لتحديد معكوس تحويل لابلاس وهو يمثل الحل لتلك السئلة. احيانا ، نجد بعض الصعوبه التي تضمن التكامل حول المسارات ، قد نجد ان الحل تكون على شكل سلسلة ، ولكن هذا قد يكون من الصعب للغاية تقييم للوصول إلى اجابة في وقت معين. ظهور الحواسيب وبرامج خاصة يسهل لتحديد معكوس تحويل لابلاس. هذا الكتاب يقدم معلومات أساسية عن نظرية تحويلات لابلاس ، مع قائمة شاملة الى حد كبير وسائل تكون متاحة في الوقت الراهن. برامج الكومبيوتر مدرجة لهذه الأساليب التي تؤدي باستمرار ضلا عن مجموعة واسعة من تحويل لابلاس
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Programs and Listings:
http://www.cf.ac.uk/maths/cohen/prog…lacetransform/

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