Ordinary Differential Equations : Example-driven, Including Maple Code
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| Title: | Ordinary Differential Equations : Example-driven, Including Maple Code |
|---|---|
| Description: | This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer simulations with Maple. Offering a concise course in the theory of ordinary differential equations, it also enables the reader to enter the field of computer simulations. Thus, it is a valuable read for students in mathematics as well as in physics and engineering. It is also addressed to all those interested in mathematical modeling with ordinary differential equations and systems. Contents Part I: Theory Chapter 1 First-Order Differential Equations Chapter 2 Linear Differential Systems Chapter 3 Second-Order Differential Equations Chapter 4 Nonlinear Differential Equations Chapter 5 Stability of Solutions Chapter 6 Differential Systems with Control Parameters Part II: Exercises Seminar 1 Classes of First-Order Differential Equations Seminar 2 Mathematical Modeling with Differential Equations Seminar 3 Linear Differential Systems Seminar 4 Second-Order Differential Equations Seminar 5 Gronwall's Inequality Seminar 6 Method of Successive Approximations Seminar 7 Stability of Solutions Part III: Maple CodeLab 1 Introduction to Maple Lab 2 Differential Equations with Maple Lab 3 Linear Differential Systems Lab 4 Second-Order Differential Equations Lab 5 Nonlinear Differential Systems Lab 6 Numerical Computation of Solutions Lab 7 Writing Custom Maple Programs Lab 8 Differential Systems with Control Parameters |
| Authors: | Radu Precup |
| Resource Type: | eBook. |
| Subjects: | Differential equations--Data processing, Differential equations--Numerical solutions |
| Categories: | MATHEMATICS / Differential Equations / General, MATHEMATICS / Mathematical Analysis, SCIENCE / Physics / Mathematical & Computational, MATHEMATICS / Numerical Analysis |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf – Type: ebook-epub Text: Availability: 0 |
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| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 1691668 RelevancyScore: 1084 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1083.55249023438 |
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| Items | – Name: Title Label: Title Group: Ti Data: Ordinary Differential Equations : Example-driven, Including Maple Code – Name: Abstract Label: Description Group: Ab Data: This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer simulations with Maple. Offering a concise course in the theory of ordinary differential equations, it also enables the reader to enter the field of computer simulations. Thus, it is a valuable read for students in mathematics as well as in physics and engineering. It is also addressed to all those interested in mathematical modeling with ordinary differential equations and systems. Contents Part I: Theory Chapter 1 First-Order Differential Equations Chapter 2 Linear Differential Systems Chapter 3 Second-Order Differential Equations Chapter 4 Nonlinear Differential Equations Chapter 5 Stability of Solutions Chapter 6 Differential Systems with Control Parameters Part II: Exercises Seminar 1 Classes of First-Order Differential Equations Seminar 2 Mathematical Modeling with Differential Equations Seminar 3 Linear Differential Systems Seminar 4 Second-Order Differential Equations Seminar 5 Gronwall's Inequality Seminar 6 Method of Successive Approximations Seminar 7 Stability of Solutions Part III: Maple CodeLab 1 Introduction to Maple Lab 2 Differential Equations with Maple Lab 3 Linear Differential Systems Lab 4 Second-Order Differential Equations Lab 5 Nonlinear Differential Systems Lab 6 Numerical Computation of Solutions Lab 7 Writing Custom Maple Programs Lab 8 Differential Systems with Control Parameters – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Radu+Precup%22">Radu Precup</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Differential+equations--Data+processing%22">Differential equations--Data processing</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations--Numerical+solutions%22">Differential equations--Numerical solutions</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Differential+Equations+%2F+General%22">MATHEMATICS / Differential Equations / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Mathematical+Analysis%22">MATHEMATICS / Mathematical Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22SCIENCE+%2F+Physics+%2F+Mathematical+%26+Computational%22">SCIENCE / Physics / Mathematical & Computational</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Numerical+Analysis%22">MATHEMATICS / Numerical Analysis</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 510 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Differential equations--Data processing Type: general – SubjectFull: Differential equations--Numerical solutions Type: general Titles: – TitleFull: Ordinary Differential Equations : Example-driven, Including Maple Code Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Radu Precup – PersonEntity: Name: NameFull: Radu Precup IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2018 – D: 19 M: 02 Type: profile Y: 2018 Identifiers: – Type: isbn-print Value: 9783110447422 – Type: isbn-electronic Value: 9783110447446 – Type: isbn-electronic Value: 9783110447507 Titles: – TitleFull: Ordinary Differential Equations : Example-driven, Including Maple Code Type: main |
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