Mathematical methods : for students of physics and related fields / Hassani, Sadri
Tác giả : Hassani, Sadri
Nhà xuất bản : Springer
Năm xuất bản : 2009
Mô tả vật lý : 828 p.
Số phân loại : 530.15
Chủ đề : 1. Physics and Astronomy ; Mathematical physics.. 2. Book.
Thông tin chi tiết
Tóm tắt : | Coordinates and calculus. Coordinate systems and vectors -- Differentiation -- Integration : formalism -- Integration : applications -- Dirac delta function -- Algebra of vectors. Planar and spatial vectors -- Finite dimensional vector spaces -- Vectors in relativity -- Infinite series. Infinite series -- Application of common series -- Integrals and series as functions -- Analysis of vectors. Vectors and derivatives -- Flux and divergence -- Line integral and curl -- Applied vector analysis -- Curvilinear vector analysis -- Tensor analysis -- Complex analysis. Complex arithmetic -- Complex derivative and integral -- Complex series -- Calculus of residues -- Differential equations. From PDEs to ODEs -- First order differential equations -- Second order linear differential equations -- Laplace's equation : Cartesian coordinates -- Laplace's equation : spherical coordinates -- Laplace's equation : cylindrical coordinates -- Other PDEs of mathematical physics -- Special topics. Integral transforms -- Calculus of variations -- Nonlinear dynamics and chaos -- Probability theory. |
Thông tin dữ liệu nguồn
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Đại học quốc gia Hà Nội |
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https://repository.vnu.edu.vn/handle/VNU_123/32468 |