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  • Ký hiệu PL/XG: 515.352 A236
    Nhan đề: Ordinary Differential Equations /
ISBN 9781461436171
DDC 515.352
Tác giả CN Adkins, William A.
Nhan đề Ordinary Differential Equations / William A. Adkins and Mark G. Davidson
Thông tin xuất bản New York : Springer, 2012
Mô tả vật lý 807 p. ; cm.
Phụ chú Undergraduate texts in mathematics
Tóm tắt Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus.
Thuật ngữ chủ đề Mathematics
Thuật ngữ chủ đề Differential equations
Thuật ngữ chủ đề Differential Equations
Khoa Khoa Cơ bản
Tác giả(bs) CN Davidson, Mark G.
Địa chỉ Thư Viện Đại học Nguyễn Tất Thành
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245 |aOrdinary Differential Equations / |cWilliam A. Adkins and Mark G. Davidson
260 |aNew York : |bSpringer, |c2012
300 |a807 p. ; |ccm.
500 |aUndergraduate texts in mathematics
520 |aUnlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus.
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650 |aMathematics
650 |aDifferential equations
650 |aDifferential Equations
690 |aKhoa Cơ bản
700 |aDavidson, Mark G.|eAuthor
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