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A toolbox of averaging theoremsordinary and partial differential equations /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A toolbox of averaging theoremsby Ferdinand Verhulst.
其他題名:	ordinary and partial differential equations /
作者:	Verhulst, F.
出版者:	Cham :Springer Nature Switzerland :2023.
面頁冊數:	x, 193 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Differential equations.
電子資源:	https://doi.org/10.1007/978-3-031-34515-9
ISBN:	9783031345159$q(electronic bk.)

A toolbox of averaging theoremsordinary and partial differential equations /
Verhulst, F.

A toolbox of averaging theoremsordinary and partial differential equations /[electronic resource] :by Ferdinand Verhulst. - Cham :Springer Nature Switzerland :2023. - x, 193 p. :ill. (chiefly color), digital ;24 cm. - Surveys and tutorials in the applied mathematical sciences,v. 122199-4773 ;. - Surveys and tutorials in the applied mathematical sciences ;v.7..

This primer on averaging theorems provides a practical toolbox for applied mathematicians, physicists, and engineers seeking to apply the well-known mathematical theory to real-world problems. With a focus on practical applications, the book introduces new approaches to dissipative and Hamiltonian resonances and approximations on timescales longer than 1/ε. Accessible and clearly written, the book includes numerous examples ranging from elementary to complex, making it an excellent basic reference for anyone interested in the subject. The prerequisites have been kept to a minimum, requiring only a working knowledge of calculus and ordinary and partial differential equations (ODEs and PDEs) In addition to serving as a valuable reference for practitioners, the book could also be used as a reading guide for a mathematics seminar on averaging methods. Whether you're an engineer, scientist, or mathematician, this book offers a wealth of practical tools and theoretical insights to help you tackle a range of mathematical problems.

ISBN: 9783031345159$q(electronic bk.)

Standard No.: 10.1007/978-3-031-34515-9doiSubjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA371

Dewey Class. No.: 515.35

A toolbox of averaging theoremsordinary and partial differential equations /
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520 $a This primer on averaging theorems provides a practical toolbox for applied mathematicians, physicists, and engineers seeking to apply the well-known mathematical theory to real-world problems. With a focus on practical applications, the book introduces new approaches to dissipative and Hamiltonian resonances and approximations on timescales longer than 1/ε. Accessible and clearly written, the book includes numerous examples ranging from elementary to complex, making it an excellent basic reference for anyone interested in the subject. The prerequisites have been kept to a minimum, requiring only a working knowledge of calculus and ordinary and partial differential equations (ODEs and PDEs) In addition to serving as a valuable reference for practitioners, the book could also be used as a reading guide for a mathematics seminar on averaging methods. Whether you're an engineer, scientist, or mathematician, this book offers a wealth of practical tools and theoretical insights to help you tackle a range of mathematical problems.
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