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ISBN
| 9783319489346 | |
DDC
| 515.353 | |
Tác giả CN
| Borthwick, David | |
Nhan đề
| Introduction to partial differential equations. / David Borthwick | |
Thông tin xuất bản
| Switzerland : Springer, 2016 | |
Mô tả vật lý
| 293 pages : illustrations | |
Tóm tắt
| This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise.Within each section the author creates a narrative that answers the five questions: (1) What is the scientific problem we are trying to understand? (2) How do we model that with PDE? (3) What techniques can we use to analyze the PDE? (4) How do those techniques apply to this equation? (5) What information or insight did we obtain by developing and analyzing the PDE? The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods."--Publisher description. | |
Thuật ngữ chủ đề
| Mathematics | |
Thuật ngữ chủ đề
| Mathematical physics | |
Thuật ngữ chủ đề
| Differential equations, Partial | |
Khoa
| Khoa Cơ bản | |
Địa chỉ
| Thư Viện Đại học Nguyễn Tất Thành |
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| 100 | |aBorthwick, David |
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| 245 | |aIntroduction to partial differential equations. / |cDavid Borthwick |
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| 260 | |aSwitzerland : |bSpringer, |c2016 |
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| 300 | |a293 pages : |billustrations |
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| 504 | |aIncludes bibliographical references and index |
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| 520 | |aThis modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise.Within each section the author creates a narrative that answers the five questions: (1) What is the scientific problem we are trying to understand? (2) How do we model that with PDE? (3) What techniques can we use to analyze the PDE? (4) How do those techniques apply to this equation? (5) What information or insight did we obtain by developing and analyzing the PDE? The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods."--Publisher description. |
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| 541 | |aSpringer |
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| 650 | |aMathematics |
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| 650 | |aMathematical physics |
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| 650 | |aDifferential equations, Partial |
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| 690 | |aKhoa Cơ bản |
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| 852 | |aThư Viện Đại học Nguyễn Tất Thành |
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