یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index
یادداشتهای مربوط به مندرجات
متن يادداشت
Preliminary concepts and background material -- Basic properties of second order linear PDEs -- PDE: elliptic form -- PDE: hyperbolic form -- PDE: parabolic form -- Solving PDEs by integral transform method
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Partial Differential Equations for Mathematical Physicistsis intended for graduate students, researchers of theoretical physics and applied mathematics, and professionals who want to take a course in partial differential equations. This book offers the essentials of the subject with theprerequisite being only an elementary knowledge of introductory calculus, ordinary differential equations, and certain aspects of classical mechanics. We have stressed more the methodologies of partial differential equations and how they can be implemented as tools for extracting their solutions rather thandwelling on the foundational aspects. After covering some basic material, the book proceeds to focus mostly on the three main types of second order linear equations, namely those belonging to the elliptic, hyperbolic, and parabolic classes. For such equations a detailed treatment is given of the derivation of Green's functions, and of the roles of characteristics and techniques required in handling the solutions with the expected amount of rigor. In this regard we have discussed at length the method of separation variables, application of Green's function technique, and employment of Fourier and Laplace's transforms. Also collected in the appendices are some useful results from the Dirac delta function, Fourier transform, and Laplace transform meant to be used as supplementary materials to the text. A good number of problems is worked out andan equallylarge number of exercises has been appended at the end of each chapter keeping in mind the needs of the students. It is expected that this book will provide a systematic and unitary coverage of the basics of partial differential equations. Key Features An adequate and substantive exposition of the subject. Covers a wide range of important topics. Maintainsmathematical rigor throughout. Organizes materials in a self-contained way with each chapter ending with a summary. Contains a large number of worked out problems
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Taylor & Francis
شماره انبار
9780429276477
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Partial differential equations for mathematical physicists.
شماره استاندارد بين المللي کتاب و موسيقي
9780367227029
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Differential equations, Partial.
موضوع مستند نشده
Mathematical physics.
موضوع مستند نشده
Differential equations, Partial.
موضوع مستند نشده
Mathematical physics.
موضوع مستند نشده
MATHEMATICS / Arithmetic
موضوع مستند نشده
MATHEMATICS / Differential Equations
موضوع مستند نشده
MATHEMATICS / General
مقوله موضوعی
موضوع مستند نشده
MAT-- 000000
موضوع مستند نشده
MAT-- 004000
موضوع مستند نشده
MAT-- 007000
موضوع مستند نشده
PB
رده بندی ديویی
شماره
515/
.
353
ويراست
23
رده بندی کنگره
شماره رده
QA371
نشانه اثر
.
B34
2020
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )