عنوان

Introduction to Partial Differential Equation

شابک

9783319020990

کد کشور

IR

شماره

EN-52516

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Introduction to Partial Differential Equation

نام عام مواد

[Book]

نام نخستين پديدآور

/ electronic resource

محل نشرو پخش و غیره

Cham

نام ناشر، پخش کننده و غيره

: Springer International Publishing :Imprint: Springer,

تاریخ نشرو بخش و غیره

, 2014.

نام خاص و کميت اثر

XXV, 635 s. 143 illus. , online resource..

عنوان فروست

(Undergraduate Texts in Mathematics,0172-6056)

متن يادداشت

9783319020983.

متن يادداشت

Electronic

متن يادداشت

Summary: This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere.a The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples.a Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. a No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra.a While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solitons, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research.a Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements. a Peter J. Olver is professor of mathematics at the University of Minnesota.a His wide-ranging research interests are centered on the development of symmetry-based methods for differential equations and their manifold applications.a He is the author of over 130 papers published in major scientific research journals as well as 4 other books, including the definitive Springer graduate text, Applications of Lie Groups to Differential Equations, and another undergraduate text, Applied Linear Algebra. a a.

متن يادداشت

What are Partial Differential Equations? -- Linear and Nonlinear Waves -- Fourier Series.-aSeparation of Variables -- Finite Differences.-aGeneralized Functions and Green@2019s Functions.-aComplex Analysis and Conformal Mapping.-aFourier Transforms.-aLinear and Nonlinear Evolution Equations.-aA General Framework foraLinear Partial Differential Equations -- FiniteaElements and Weak Solutions.-aDynamics of Planar Media.-aPartial Differential Equations in Space .a.

عنوان

Undergraduate Texts in Mathematics,0172-6056

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Fourier analysis

موضوع مستند نشده

Differential equations, partial

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Partial Differential Equations

موضوع مستند نشده

Complex Systems

موضوع مستند نشده

Fourier Analysis

شماره رده

مستند نام اشخاص تاييد نشده

Olver, Peter J..

مستند نام اشخاص تاييد نشده

SpringerLink (Online service)

کشور

ایران

نام ميزبان

9783319020983.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9783319020983.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y