Mathematical Methods for Engineers and Scientists 3 - Fourier Analysis, Partial Differential Equations and Variational Methods

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Sommario

Fourier Analysis.- Fourier Series.- Fourier Transforms.- Sturm-Liouville Theory and Special Functions.- Orthogonal Functions and Sturm-Liouville Problems.- Bessel and Legendre Functions.- Partial Differential Equations.- Partial Differential Equations in Cartesian Coordinates.- Partial Differential Equations with Curved Boundaries.- Variational Methods.- Calculus of Variation.

Riassunto

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Dettagli sul prodotto

• Autori: Kwong-Tin Tang
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 14.10.2010
• EAN: 9783642079474
• ISBN: 978-3-642-07947-4
• Pagine: 440
• Dimensioni: 158 mm x 25 mm x 236 mm
• Peso: 708 g
• Illustrazioni: XI, 440 p.
• Categorie: Scienze naturali, medicina, informatica, tecnica > Fisica, astronomia > Fisica teorica; B, Umweltüberwachung (Umwelt-Monitoring), Mathematical and Computational Engineering, Theoretical, Mathematical and Computational Physics, Physics and Astronomy, Mathematical physics, Engineering mathematics, Applied mathematics, Mathematical and Computational Engineering Applications, Maths for engineers, Environmental Monitoring, Monitoring/Environmental Analysis