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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Exercises and Problems in Mathematical Methods of Physics

Exercises and Problems in Mathematical Methods of Physics

Cicogna, Giampaolo

Paperback

Series: Undergraduate Lecture Notes in Physics

General MathematicsPhysics

ISBN10: 3030594718
ISBN13: 9783030594718
Publisher: Springer
Published: Oct 31 2020
Pages: 218
Weight: 0.73
Height: 0.49 Width: 6.14 Depth: 9.21
Language: English
1 Hilbert spaces.- 1.1 Complete sets, Fourier expansions.- 1.1.1 Preliminary notions. Subspaces. Complete sets.- 1.1.2 Fourier expansions.- 1.1.3 Harmonic functions; Dirichlet and Neumann Problems.- 1.2 Linear operators.- 1.2.1 Linear operators defined giving T en = vn, and related Problems.- 1.2.2 Operators of the form T x = v(w;x) and T x = ån vn(wn;x).- 1.2.3 Operators of the form T f (x) = j(x) f (x).- 1.2.4 Problems involving differential operators.- 1.2.5 Functionals.- 1.2.6 Time evolution Problems. Heat equation.- 1.2.7 Miscellaneous Problems.- 2 Functions of a complex variable.- 2.1 Basic properties of analytic functions.- 2.2 Evaluation of integrals by complex variable methods.- 2.3 Harmonic functions and conformal mappings.- 3 Fourier and Laplace transforms. Distributions.- 3.1 Fourier transform in L1(R) and L2(R).- 3.1.1 Basic properties and applications.- 3.1.2 Fourier transform and linear operators in L2(R).- 3.2 Tempered distributions and Fourier transforms.- 3.2.1 General properties.- 3.2.2 Fourier transform, distributions and linear operators.- 3.2.3 Applications to ODE's and related Green functions.- 3.2.4 Applications to general linear systems and Green functions.- 3.2.5 Applications to PDE's.- 3.3 Laplace transforms.- vvi Contents.- Groups, Lie algebras, symmetries in physics.- 4.1 Basic properties of groups and representations.- 4.2 Lie groups and algebras.- 4.3 The groups SO3; SU2; SU3.- 4.4 Other direct applications of symmetries to physics.- Answers and Solutions.

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