Ordinary differential equations an introduction to the fundamentals
Ordinary Differential Equations: An Introduction to the Fundamentals is a rigorous yet remarkably accessible textbook ideal for an introductory course in ordinary differential equations.
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| Format: | Book |
| Language: | English |
| Published: |
Boca Raton
CRC Press, Taylor & Francis Group
[2016]
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| Series: | Textbooks in mathematics
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| Subjects: | |
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| Call Number : | QA 372 .H832 2016 |
MARC
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|---|---|---|---|
| 001 | 101979 | ||
| 003 | MY-KLNDU | ||
| 005 | 20241220040128.0 | ||
| 008 | 221104 2016 flua i 000 0 eng d | ||
| 020 | |a 9781498733816 | ||
| 039 | 9 | |a 202211041156 |b VLOAD |c 201701061201 |d azraai |y 201610261104 |z hasri | |
| 040 | |a UPNM |b eng |c UPNM |e rda | ||
| 090 | |a QA 372 |b .H832 2016 | ||
| 100 | 1 | |a Howell, Kenneth B. |e author | |
| 245 | 1 | 0 | |a Ordinary differential equations |b an introduction to the fundamentals |c Kenneth B. Howell |
| 264 | 1 | |a Boca Raton |b CRC Press, Taylor & Francis Group |c [2016] | |
| 264 | 4 | |c ©2016 | |
| 300 | |a xxx, 609 pages |b illustrations |c 27cm | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a unmediated |2 rdamedia | ||
| 338 | |a volume |2 rdacarrier | ||
| 490 | 1 | |a Textbooks in mathematics | |
| 500 | |a Includes index | ||
| 505 | 0 | |a I. The Basics -- The starting point: basic concepts and terminology -- Integration and differential equations -- II. First-Order Equations -- Some basics about first-order equations -- Separable first-order equations -- Linear first-order equations -- Simplifying through substitution -- The exact form and general integrating factors -- Slope fields: graphing solutions without the solutions -- Euler's numerical method -- The art and science of modeling with first-order equations -- III. Second- and Higher-Order Equations -- Higher-order equations: extending first-order concepts -- Higher-order linear equations and the reduction of order method -- General solutions to homegeneous linear differential equations -- Verifying the big theorems and an introduction to differential operators -- Second-order homogeneous linear equations with constant coeffieients -- Springs: Part I -- Arbitrary homogeneous linear equations with constant coefficients -- Eyler equations -- Nonhomogeneous equations in general -- Method of undetermined coefficients (aka: method of educated guess) -- Springs: Part II -- Variation of parameters (a better reduction of order method) -- IV. The Laplace Transform -- The Laplace transform (intro) -- Differentiation and the Laplace transform -- The Inverse Laplace transform -- Convolution -- Piecewise-defined functions and periodic functions -- Delat functions -- V. Power Series and Modified Power Series Solutions -- Series solutions: preliminaries -- Power series solutions I: basic computational methods -- Power series solutions II: generalizations and theory -- Modified power series solutions and the basic method of Frobenius -- The big theorem on the Frobenius method, with applications -- Validating the method of Frobenius -- VI. Systems of Differential Equations (A Brief Introduction) -- Systems of differential equations: a starting point -- Critical points, direction fields and trajectories. | |
| 520 | |a Ordinary Differential Equations: An Introduction to the Fundamentals is a rigorous yet remarkably accessible textbook ideal for an introductory course in ordinary differential equations. | ||
| 592 | |a 32579 |b 5/12/16 |c RM348.24 |h Bookline | ||
| 650 | 0 | |a Differential equations | |
| 650 | 0 | |a Mathematics | |
| 830 | 0 | |a Textbooks in mathematics | |
| 999 | |a vtls000057280 |c 101979 |d 101979 | ||