عنوان

Introduction to partial differential equations /

شابک

3319489364

شابک

9783319489360

شابک اشتباه

3319347446

شابک اشتباه

3319489348

شابک اشتباه

9783319347448

شابک اشتباه

9783319489346

کد کشور

bnb

شماره

b623994

عنوان اصلي

Introduction to partial differential equations /

نام عام مواد

[Book]

نام نخستين پديدآور

David Borthwick.

نام خاص و کميت اثر

1 online resource (xiv, 285 pages) :

ساير جزييات

illustrations (some color)

عنوان فروست

Universitext,

شاپا ي ISSN فروست

0172-5939

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

1. Introduction -- 2. Preliminaries -- 3. Conservation Equations and Characteristics -- 4. The Wave Equation -- 5. Separation of Variables -- 6. The Heat Equation -- 7. Function Spaces -- 8. Fourier Series -- 9. Maximum Principles -- 10. Weak Solutions -- 11. Variational Methods -- 12. Distributions -- 13. The Fourier Transform -- A. Appendix: Analysis Foundations -- References -- Notation Guide -- Index.

بدون عنوان

0

متن يادداشت

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. Within each section the author creates a narrative that answers the five questions: (1) What is the scientific problem we are trying to understand? (2) How do we model that with PDE? (3) What techniques can we use to analyze the PDE? (4) How do those techniques apply to this equation? (5) What information or insight did we obtain by developing and analyzing the PDE? The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix. 9783319489360

شماره استاندارد بين المللي کتاب و موسيقي

9783319489346

موضوع مستند نشده

Differential equations, Partial.

موضوع مستند نشده

Differential calculus & equations.

موضوع مستند نشده

Differential equations, Partial.

موضوع مستند نشده

Mathematical modelling.

موضوع مستند نشده

Mathematics-- Applied.

موضوع مستند نشده

Mathematics-- Differential Equations.

موضوع مستند نشده

MAT007000

موضوع مستند نشده

PBKJ

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Borthwick, David

تاريخ عمليات

20201221083123.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

کد کاربرگه

270410

تكميل شده

Y