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The Resource A First Course in Ordinary Differential Equations : Analytical and Numerical Methods, by Martin Hermann, Masoud Saravi, (electronic resource)

A First Course in Ordinary Differential Equations : Analytical and Numerical Methods, by Martin Hermann, Masoud Saravi, (electronic resource)

Label
A First Course in Ordinary Differential Equations : Analytical and Numerical Methods
Title
A First Course in Ordinary Differential Equations
Title remainder
Analytical and Numerical Methods
Statement of responsibility
by Martin Hermann, Masoud Saravi
Creator
Contributor
Author
Subject
Language
eng
Summary
This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format--the theorem-and-proof format--the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals with solution techniques for scalar first-order and second-order linear ODEs, and systems of linear ODEs--with a special focus on the Laplace transform, operator techniques and power series solutions. In the numerical part, theoretical and practical aspects of Runge-Kutta methods for solving initial-value problems and shooting methods for linear two-point boundary-value problems are considered. The book is intended as a primary text for courses on the theory of ODEs and numerical treatment of ODEs for advanced undergraduate and early graduate students. It is assumed that the reader has a basic grasp of elementary calculus, in particular methods of integration, and of numerical analysis. Physicists, chemists, biologists, computer scientists and engineers whose work involves solving ODEs will also find the book useful as a reference work and tool for independent study. The book has been prepared within the framework of a German--Iranian research project on mathematical methods for ODEs, which was started in early 2012
Member of
Cataloging source
IT-FiEUI
http://library.link/vocab/creatorName
Hermann, Martin
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Saravi, Masoud.
  • SpringerLink (Online service)
Series statement
Springer eBooks
http://library.link/vocab/subjectName
  • Mathematics
  • Differential equations
  • Numerical analysis
  • Materials
Label
A First Course in Ordinary Differential Equations : Analytical and Numerical Methods, by Martin Hermann, Masoud Saravi, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-81-322-1835-7
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
Chapter 1. Basic Concepts of Differential Equations -- Chapter 2. First-Order Differential Equations -- Chapter 3. Second-Order Differential Equations -- Chapter 4. Laplace Transforms -- Chapter 5. System of Linear Differential Equations -- Chapter 6. Power Series Solutions -- Chapter 7. Numerical Methods for Initial Value Problems -- Chapter 8. Shooting Methods for Linear Boundary -- Appendix A. Power Series -- Appendix B. Some elementary integration formulae -- Appendix C. Table of Laplace transforms
Control code
978-81-322-1835-7
Dimensions
unknown
Extent
XIV, 288 pages 10 illustrations
File format
multiple file formats
Form of item
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
9788132218357
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other control number
10.1007/978-81-322-1835-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086465148
Label
A First Course in Ordinary Differential Equations : Analytical and Numerical Methods, by Martin Hermann, Masoud Saravi, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-81-322-1835-7
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
Chapter 1. Basic Concepts of Differential Equations -- Chapter 2. First-Order Differential Equations -- Chapter 3. Second-Order Differential Equations -- Chapter 4. Laplace Transforms -- Chapter 5. System of Linear Differential Equations -- Chapter 6. Power Series Solutions -- Chapter 7. Numerical Methods for Initial Value Problems -- Chapter 8. Shooting Methods for Linear Boundary -- Appendix A. Power Series -- Appendix B. Some elementary integration formulae -- Appendix C. Table of Laplace transforms
Control code
978-81-322-1835-7
Dimensions
unknown
Extent
XIV, 288 pages 10 illustrations
File format
multiple file formats
Form of item
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
9788132218357
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other control number
10.1007/978-81-322-1835-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086465148

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