Sequential models of mathematical physics / (Record no. 130572)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 05767cam a2200661Ki 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780429470417 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | FlBoTFG |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220509193131.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu---|nuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190125s2019 flu ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | OCoLC-P |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | OCoLC-P |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429470417 |
| -- | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 042947041X |
| -- | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429893667 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429893663 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429893650 |
| -- | (electronic bk. : EPUB) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429893655 |
| -- | (electronic bk. : EPUB) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429893643 |
| -- | (electronic bk. : Mobipocket) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429893647 |
| -- | (electronic bk. : Mobipocket) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9781138601031 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 1138601039 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1083342166 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC-P)1083342166 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC20 |
| Item number | .S47 2019eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI |
| Subject category code subdivision | 024000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI |
| Subject category code subdivision | 041000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI |
| Subject category code subdivision | 055000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 004000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 007000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 037000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PB |
| Source | bicssc |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.15 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Serovajsky, Simon, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Sequential models of mathematical physics / |
| Statement of responsibility, etc | Simon Serovajsky. |
| 264 #1 - | |
| -- | Boca Raton, Florida : |
| -- | CRC Press, |
| -- | [2019] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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 |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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 |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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 |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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 |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 9.4 Classic model of the heat transfer phenomenon9.5 Models of mathematical physics problems; 9.6 Conclusions; Bibliography; Index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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 |
| 588 ## - | |
| -- | OCLC-licensed vendor bibliographic record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical models. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| General subdivision | Methodology. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | SCIENCE / Energy |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | SCIENCE / Mechanics / General |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | SCIENCE / Physics / General |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Arithmetic |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Differential Equations |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Functional Analysis |
| Source of heading or term | bisacsh |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Taylor & Francis |
| Uniform Resource Identifier | https://www.taylorfrancis.com/books/9780429470417 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | OCLC metadata license agreement |
| Uniform Resource Identifier | http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf |
No items available.