عنوان

Sequential models of mathematical physics /

شابک

042947041X

شابک

0429893647

شابک

0429893655

شابک

0429893663

شابک

9780429470417

شابک

9780429893643

شابک

9780429893650

شابک

9780429893667

شابک اشتباه

1138601039

شابک اشتباه

9781138601031

عنوان اصلي

Sequential models of mathematical physics /

نام عام مواد

[Book]

نام نخستين پديدآور

Simon Serovajsky.

محل نشرو پخش و غیره

Boca Raton, Florida :

نام ناشر، پخش کننده و غيره

CRC Press,

تاریخ نشرو بخش و غیره

[2019]

نام خاص و کميت اثر

1 online resource

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Cover; Half Title; Title Page; Copyright Page; Dedication; Contents; Preface; Author; Part I: Mathematical physics problems; Chapter 1: Classic models; 1.1 Mathematical analysis of a physical phenomenon; 1.2 Definition of a mathematical model; 1.3 Classic solution of the system; 1.4 Approximate solution of the system; 1.5 Validity of the classic method; 1.6 Conclusions; Chapter 2: Generalized models; 2.1 Generalized solution of the problem; 2.2 Determination of the generalized model; 2.3 Generalized derivatives; 2.4 Approximation of the generalized model

متن يادداشت

2.5 Validity of the generalized method2.6 Conclusions; Part II: Sequential method; Chapter 3: Convergence and Cauchy principle; 3.1 Definitions of the convergence; 3.2 Non-constructiveness of the limit; 3.3 Cauchy criterion of the convergence; 3.4 Picard's method for differential equations; 3.5 Banach fixed point theorem; 3.6 Conclusions; Chapter 4: Completeness and real numbers; 4.1 Inapplicability of the Cauchy criterion; 4.2 Complete metric spaces; 4.3 Completion problem; 4.4 Real numbers by Cantor; 4.5 Conclusions; Chapter 5: Real numbers and completion

متن يادداشت

5.1 Axiomatic definition of real numbers5.2 Weierstrass real numbers; 5.3 Properties of Weierstrass real numbers; 5.4 Properties of Cantor real numbers; 5.5 Completion of metric spaces; 5.6 Conclusions; Part III: Sequential objects; Chapter 6: p-adic numbers; 6.1 Comparisons of integers modulo; 6.2 Integer p-adic numbers; 6.3 General p-adic numbers; 6.4 p-adic metrics; 6.5 Sequential definition of p-adic numbers; 6.6 Conclusions; Chapter 7: Sequential controls; 7.1 Optimal control problems; 7.2 Insolvable optimal control problems; 7.3 Sequential controls

متن يادداشت

7.4 Extension of the easiest extremum problem7.5 Extension of the optimal control problem; 7.6 Non-uniqueness of the optimal control; 7.7 Tihonov well-posedness of the optimal control problems; 7.8 Conclusions; Chapter 8: Distributions; 8.1 Test functions; 8.2 Schwartz distributions; 8.3 Sequential distributions; 8.4 Sobolev spaces; 8.5 Conclusions; Part IV: Sequential models; Chapter 9: Sequential models of mathematical physics phenomena; 9.1 Sequential model of the heat transfer phenomenon; 9.2 Justification of sequential modeling; 9.3 Generalized model of the heat transfer phenomenon

متن يادداشت

9.4 Classic model of the heat transfer phenomenon9.5 Models of mathematical physics problems; 9.6 Conclusions; Bibliography; Index

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

The equations of mathematical physics are the mathematical models of the large class of phenomenon of physics, chemistry, biology, economics, etc. In Sequential Models of Mathematical Physics, the author considers the justification of the process of constructing mathematical models. The book seeks to determine the classic, generalized and sequential solutions, the relationship between these solutions, its direct physical sense, the methods of its practical finding, and its existence. Features Describes a sequential method based on the construction of space completion, as well as its applications in number theory, the theory of distributions, the theory of extremum, and mathematical physics Presentation of the material is carried out on the simplest example of a one-dimensional stationary heat transfer process; all necessary concepts and constructions are introduced and illustrated with elementary examples, which makes the material accessible to a wide area of readers The solution of a specific mathematical problem is obtained as a result of the joint application of methods and concepts from completely different mathematical directions

عنوان

Sequential models of mathematical physics.

شماره استاندارد بين المللي کتاب و موسيقي

9781138601031

موضوع مستند نشده

Mathematical models.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mathematics-- Methodology.

موضوع مستند نشده

Mathematical models.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

MATHEMATICS-- Arithmetic.

موضوع مستند نشده

MATHEMATICS-- Differential Equations.

موضوع مستند نشده

MATHEMATICS-- Functional Analysis.

موضوع مستند نشده

Mathematics-- Methodology.

موضوع مستند نشده

SCIENCE-- Energy.

موضوع مستند نشده

SCIENCE-- Mechanics-- General.

موضوع مستند نشده

SCIENCE-- Physics-- General.

موضوع مستند نشده

MAT-- 004000

موضوع مستند نشده

MAT-- 007000

موضوع مستند نشده

MAT-- 037000

موضوع مستند نشده

PB

موضوع مستند نشده

SCI-- 024000

موضوع مستند نشده

SCI-- 041000

موضوع مستند نشده

SCI-- 055000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Serovajsky, Simon

تاريخ عمليات

20200822111901.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y