Ordinary Differential Equations :: Example-driven, Including Maple Code.
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...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin/Boston :
De Gruyter,
2018.
|
| Schriftenreihe: | De Gruyter textbook.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (236 pages). |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110447446 3110447444 3110447509 9783110447507 9783110447422 3110447428 |
Internformat
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| 505 | 0 | |a Intro; Preface; 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 Gronwallâ#x80;#x99;s Inequality. | |
| 505 | 8 | |a Seminar 6 Method of Successive ApproximationsSeminar 7 Stability of Solutions; Part III: Maple Code; Lab 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; Bibliography; Index. | |
| 520 | |a 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. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 546 | |a In English. | ||
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| contents | Intro; Preface; 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 Gronwallâ#x80;#x99;s Inequality. Seminar 6 Method of Successive ApproximationsSeminar 7 Stability of Solutions; Part III: Maple Code; Lab 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; Bibliography; Index. |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-on1020697648 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:28:12Z |
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| spelling | Precup, Radu. Ordinary Differential Equations : Example-driven, Including Maple Code. Berlin/Boston : De Gruyter, 2018. 1 online resource (236 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter Textbook Print version record. Intro; Preface; 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 Gronwallâ#x80;#x99;s Inequality. Seminar 6 Method of Successive ApproximationsSeminar 7 Stability of Solutions; Part III: Maple Code; Lab 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; Bibliography; Index. 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. Includes bibliographical references and index. In English. Maple (Computer file) Maple (Computer file) fast Differential equations Data processing. Differential equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037893 Équations différentielles Informatique. Équations différentielles Solutions numériques. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Differential equations Data processing fast Differential equations Numerical solutions fast Print version: Precup, Radu. Ordinary Differential Equations : Example-driven, Including Maple Code. Berlin/Boston : De Gruyter, ©2018 9783110447422 De Gruyter textbook. http://id.loc.gov/authorities/names/n94049545 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1691668 Volltext |
| spellingShingle | Precup, Radu Ordinary Differential Equations : Example-driven, Including Maple Code. De Gruyter textbook. Intro; Preface; 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 Gronwallâ#x80;#x99;s Inequality. Seminar 6 Method of Successive ApproximationsSeminar 7 Stability of Solutions; Part III: Maple Code; Lab 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; Bibliography; Index. Maple (Computer file) Maple (Computer file) fast Differential equations Data processing. Differential equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037893 Équations différentielles Informatique. Équations différentielles Solutions numériques. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Differential equations Data processing fast Differential equations Numerical solutions fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037893 |
| title | Ordinary Differential Equations : Example-driven, Including Maple Code. |
| title_auth | Ordinary Differential Equations : Example-driven, Including Maple Code. |
| title_exact_search | Ordinary Differential Equations : Example-driven, Including Maple Code. |
| title_full | Ordinary Differential Equations : Example-driven, Including Maple Code. |
| title_fullStr | Ordinary Differential Equations : Example-driven, Including Maple Code. |
| title_full_unstemmed | Ordinary Differential Equations : Example-driven, Including Maple Code. |
| title_short | Ordinary Differential Equations : |
| title_sort | ordinary differential equations example driven including maple code |
| title_sub | Example-driven, Including Maple Code. |
| topic | Maple (Computer file) Maple (Computer file) fast Differential equations Data processing. Differential equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037893 Équations différentielles Informatique. Équations différentielles Solutions numériques. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Differential equations Data processing fast Differential equations Numerical solutions fast |
| topic_facet | Maple (Computer file) Differential equations Data processing. Differential equations Numerical solutions. Équations différentielles Informatique. Équations différentielles Solutions numériques. MATHEMATICS Essays. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. Differential equations Data processing Differential equations Numerical solutions |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1691668 |
| work_keys_str_mv | AT precupradu ordinarydifferentialequationsexampledrivenincludingmaplecode |