Elements of Partial Differential Equations / / Pavel Drábek, Gabriela Holubová.
This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrations it introduces PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The in...
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Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2014] ©2014 |
Year of Publication: | 2014 |
Edition: | 2nd revised and extended edition |
Language: | English |
Series: | De Gruyter Textbook
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Online Access: | |
Physical Description: | 1 online resource (277 p.) |
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100 | 1 | |a Drábek, Pavel, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Elements of Partial Differential Equations / |c Pavel Drábek, Gabriela Holubová. |
250 | |a 2nd revised and extended edition | ||
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2014] | |
264 | 4 | |c ©2014 | |
300 | |a 1 online resource (277 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a De Gruyter Textbook | |
505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Chapter 1. Motivation, Derivation of Basic Mathematical Models -- |t Chapter 2. Classification, Types of Equations, Boundary and Initial Conditions -- |t Chapter 3. Linear Partial Differential Equations of the First Order -- |t Chapter 4. Wave Equation in One Spatial Variable – Cauchy Problem in R -- |t Chapter 5. Diffusion Equation in One Spatial Variable – Cauchy Problem in R -- |t Chapter 6. Laplace and Poisson Equations in Two Dimensions -- |t Chapter 7. Solutions of Initial Boundary Value Problems for Evolution Equations -- |t Chapter 8. Solutions of Boundary Value Problems for Stationary Equations -- |t Chapter 9. Methods of Integral Transforms -- |t Chapter 10. General Principles -- |t Chapter 11. Laplace and Poisson equations in Higher Dimensions -- |t Chapter 12. Diffusion Equation in Higher Dimensions -- |t Chapter 13. Wave Equation in Higher Dimensions -- |t Appendix A. Sturm-Liouville Problem -- |t Appendix B. Bessel Functions -- |t Some Typical Problems Considered in this Book -- |t Notation -- |t Bibliography -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrations it introduces PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) | |
650 | 0 | |a Differential equations, Partial |v Textbooks. | |
650 | 4 | |a Lehrbuch. | |
650 | 4 | |a Partielle Differentialgleichung. | |
650 | 7 | |a MATHEMATICS / General. |2 bisacsh | |
653 | |a Boundary value problems for evolution and stationary equations. | ||
653 | |a Diffusion equation. | ||
653 | |a Integral transforms. | ||
653 | |a Laplace and Poisson equation. | ||
653 | |a Partial differential equation. | ||
653 | |a Wave equation. | ||
700 | 1 | |a Holubová, Gabriela, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Complete English Language 2000-2014 PART1 |z 9783110238570 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Mathematics 2000-2014 (EN) |z 9783110238471 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - 2000 - 2014 |z 9783110637205 |o ZDB-23-GMA |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Complete Package 2014 |z 9783110369526 |o ZDB-23-DGG |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics, Physics 2014 |z 9783110370355 |o ZDB-23-DEM |
776 | 0 | |c EPUB |z 9783110374049 | |
776 | 0 | |c print |z 9783110316650 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783110316674 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110316674 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110316674/original |
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