03160nam a22004815i 4500
978-3-319-48936-0
DE-He213
20181204134236.0
cr nn 008mamaa
170112s2016 gw | s |||| 0|eng d
9783319489360
978-3-319-48936-0
10.1007/978-3-319-48936-0
doi
ISI Library, Kolkata
QA370-380
PBKJ
bicssc
MAT007000
bisacsh
PBKJ
thema
515.353
23
Borthwick, David.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Introduction to Partial Differential Equations
[electronic resource] /
by David Borthwick.
Cham :
Springer International Publishing :
Imprint: Springer,
2016.
XVI, 283 p. 68 illus., 61 illus. in color.
online resource.
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
text file
PDF
rda
Universitext,
0172-5939
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.
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.
Differential equations, partial.
Partial Differential Equations.
http://scigraph.springernature.com/things/product-market-codes/M12155
Mathematical Applications in the Physical Sciences.
http://scigraph.springernature.com/things/product-market-codes/M13120
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783319489346
Printed edition:
9783319489353
Printed edition:
9783319840512
Universitext,
0172-5939
https://doi.org/10.1007/978-3-319-48936-0
ZDB-2-SMA
EB
Mathematics and Statistics (Springer-11649)
426835
426835
276238
MAIN
MAIN
2017-04-01
EB1789
2018-12-04
EB