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The Resource Methods of Applied Mathematics with a Software Overview, by Jon H. Davis, (electronic resource)

Methods of Applied Mathematics with a Software Overview, by Jon H. Davis, (electronic resource)

Label
Methods of Applied Mathematics with a Software Overview
Title
Methods of Applied Mathematics with a Software Overview
Statement of responsibility
by Jon H. Davis
Creator
Subject
Language
eng
Summary
This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of problems in which the presented techniques are useful. Broadly organized around the theme of applied Fourier analysis, the treatment covers classical applications in partial differential equations and boundary value problems, and a substantial number of topics associated with Laplace, Fourier, and discrete transform theories. Some advanced topics are explored in the final chapters such as short-time Fourier analysis and geometrically based transforms applicable to boundary value problems. The topics covered are useful in a variety of applied fields such as continuum mechanics, mathematical physics, control theory, and signal processing. Replete with helpful examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering. Key features of the software overview: Now relies solely on the free software tools Octave, Maxima, and Python. Appendix introduces all of these tools at a level suitable to those with some programming experience Provides references to sources of further learning. Code snippets incorporated throughout the text. All graphics and illustrations generated using these tools. Praise for the first edition: “The author mixed in a remarkable way theoretical results and applications illustrating the results. Flexibility of presentation (increasing and decreasing level of rigor, accessibility) is a key feature...The book contains extensive examples, presented in an intuitive way with high quality figures (some of them quite spectacular)...” – Mathematica “...Davis's book has many novel features being quite different from most other textbooks on applied mathematics.... Mainly it has a clear and consistent exposition with a strong focus on mathematical fundamentals and useful techniques. It has numerous extensive examples, illustrations, comments, and a very modern graphical presentation of results. “...The book has style. Every theorem and mathematical result has a wonderful appealing comment.” – Studies in Informatics and Control .--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Davis, Jon H
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks
  • Applied and Numerical Harmonic Analysis,
http://library.link/vocab/subjectName
  • Mathematics
  • Harmonic analysis
  • Fourier analysis
  • Functions of complex variables
  • Applied mathematics
  • Engineering mathematics
  • Computer mathematics
  • Physics
Label
Methods of Applied Mathematics with a Software Overview, by Jon H. Davis, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-43370-7
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction. Fourier Series -- Elementary Boundary Value Problems -- Strum-Liouville Theory and Boundary Value Problems -- Functions of a Complex Variable -- Laplace Transforms -- Fourier Transforms -- Discrete Variable Transforms -- Additional Topics -- Linear Algebra Overview -- Software Resources -- Transform Tables
Control code
978-3-319-43370-7
Dimensions
unknown
Edition
2nd ed. 2016.
Extent
1 online resource (XVII, 781 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319433707
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-43370-7
Other physical details
240 illustrations, 108 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)968155472
Label
Methods of Applied Mathematics with a Software Overview, by Jon H. Davis, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-43370-7
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction. Fourier Series -- Elementary Boundary Value Problems -- Strum-Liouville Theory and Boundary Value Problems -- Functions of a Complex Variable -- Laplace Transforms -- Fourier Transforms -- Discrete Variable Transforms -- Additional Topics -- Linear Algebra Overview -- Software Resources -- Transform Tables
Control code
978-3-319-43370-7
Dimensions
unknown
Edition
2nd ed. 2016.
Extent
1 online resource (XVII, 781 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319433707
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-43370-7
Other physical details
240 illustrations, 108 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)968155472

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