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The fundamentals of mathematical analysis. Volume 2 /
The Fundamentals of Mathematical Analysis, Volume 2 is a continuation of the discussion of the fundamentals of mathematical analysis, specifically on the subject of curvilinear and surface integrals, with emphasis on the difference between the curvilinear and surface """"integral...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Pergamon Press,
1965.
|
| Colección: | International series in pure and applied mathematics ;
v. 2. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ii 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn898771786 | ||
| 003 | OCoLC | ||
| 005 | 20231120111907.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 141227s1965 enk o 001 0 eng d | ||
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| 019 | |a 896407772 | ||
| 020 | |a 9781483154138 |q (electronic bk.) | ||
| 020 | |a 1483154130 |q (electronic bk.) | ||
| 020 | |z 9780080100609 | ||
| 035 | |a (OCoLC)898771786 |z (OCoLC)896407772 | ||
| 050 | 4 | |a QA300 | |
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
| 082 | 0 | 4 | |a 515 |2 23 |
| 100 | 1 | |a Fikhtengol��t�s, G. M. |q (Grigori�i Mikha�ilovich), |d 1888-1959, |e author. | |
| 245 | 1 | 4 | |a The fundamentals of mathematical analysis. |n Volume 2 / |c G.M. Fikhtengol'ts ; translated by Ann Swinfen ; translation edited by Ian N. Sneddon. |
| 264 | 1 | |a London : |b Pergamon Press, |c 1965. | |
| 300 | |a 1 online resource (541 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a International Series in Pure and Applied Mathematics ; |v v. 2 | |
| 500 | |a Includes index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; The Fundamentals of Mathematical Analysis; Copyright Page; Table of Contents; CHAPTER 15. SERIES OF NUMBERS; 1. Introduction; 2. The convergence of positive series; 3. The convergence of arbitrary series; 4. The properties of convergent series; 5. Infinite products; 6. The expansion of elementary functions in power series; 7. Approximate calculations using series; CHAPTER 16. SEQUENCES AND SERIES OF FUNCTIONS; 1. Uniform convergence; 2. The functional properties of the sum of a series; 3. Power series and series of polynomials | |
| 505 | 8 | |a 4. An outline of the history of seriesCHAPTER 17. IMPROPER INTEGRALS; 1. Improper integrals with infinite limits; 2. Improper integrals of unbounded functions; 3. Transformation and evaluation of improper integrals; CHAPTER 18. INTEGRALS DEPENDING ON A PARAMETER; 1. Elementary theory; 2. Uniform convergence of integrals; 3. The use of the uniform convergence of integrals; 4. Eulerian integrals; CHAPTER 19. IMPLICIT FUNCTIONS. FUNCTIONAL DETERMINANTS; 1. Implicit functions; 2. Some applications of the theory of implicit functions | |
| 505 | 8 | |a 3. Functional determinants and their formal propertiesCHAPTER 20. CURVILINEAR INTEGRALS; 1. Curvilinear integrals of the first kind; 2. Curvilinear integrals of the second kind; CHAPTER 21. DOUBLE INTEGRALS; 1. The definition and simplest properties of double integrals; 2. The evaluation of a double integral; 3 . Greenes formula; 4. Conditions for a curvilinear integral to be independent of the path of integration; 5. Change of variables in double integrals; CHAPTER 22. THE AREA OF A SURFACE. SURFACE INTEGRALS; 1. Two-sided surfaces; 2. The area of a curved surface | |
| 505 | 8 | |a 3. Surface integrals of the first type 4. Surface integrals of the second type; CHAPTER 23. TRIPLE INTEGRALS; 1. A triple integral and its evaluation; 2. Ostrogradski's formula; 3. Change of variables in triple integrals; 4. The elementary theory of a field; 5. Multiple integrals; CHAPTER 24. FOURIER SERIES; 1. Introduction; 2. The expansion of functions in Fourier series; 3. The Fourier integral; 4. The closed and complete nature of a trigonometrical system of functions; 5. An outline of the history of trigonometrical series | |
| 505 | 8 | |a CONCLUSION AN OUTLINE OF FURTHER DEVELOPMENTS IN MATHEMATICAL ANALYSISI. The theory of differential equations; II. Variational calculus; III. The theory of functions of a complex variable; IV. The theory of integral equations; V. The theory of functions of a real variable; VI. Functional analysis; Index; Other Titles in the Series | |
| 520 | |a The Fundamentals of Mathematical Analysis, Volume 2 is a continuation of the discussion of the fundamentals of mathematical analysis, specifically on the subject of curvilinear and surface integrals, with emphasis on the difference between the curvilinear and surface """"integrals of first kind"""" and """"integrals of second kind."""" The discussions in the book start with an introduction to the elementary concepts of series of numbers, infinite sequences and their limits, and the continuity of the sum of a series. The definition of improper integrals of unbounded functions and that of unifo. | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 6 | |a Analyse math�ematique. |0 (CaQQLa)201-0001156 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Mathematical analysis |2 fast |0 (OCoLC)fst01012068 | |
| 700 | 1 | |a Swinfen, Ann. | |
| 700 | 1 | |a Sneddon, Ian Naismith. | |
| 776 | 0 | 8 | |i Print version: |a Fikhtengol'ts, G.M. |t Fundamentals of Mathematical Analysis : International Series of Monographs in Pure and Applied Mathematics, Volume 2. |d Burlington : Elsevier Science, �2014 |z 9780080100609 |
| 830 | 0 | |a International series in pure and applied mathematics ; |v v. 2. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780080100609 |z Texto completo |