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The Resource Exercises and Problems in Mathematical Methods of Physics, by Giampaolo Cicogna, (electronic resource)
Exercises and Problems in Mathematical Methods of Physics, by Giampaolo Cicogna, (electronic resource)
Resource Information
The item Exercises and Problems in Mathematical Methods of Physics, by Giampaolo Cicogna, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Exercises and Problems in Mathematical Methods of Physics, by Giampaolo Cicogna, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts with exercises based on first definitions, followed by groups of problems devoted to intermediate and, subsequently, more elaborate situations. Some of the problems are unavoidably "routine", but others bring to the forenontrivial properties that are often omitted or barely mentioned in textbooks. There are also problems where the reader is guided to obtain important results that are usually stated in textbooks without complete proofs. In all, some 350 solved problems covering all mathematical notions useful to physics are included. While the book is intended primarily for undergraduate students of physics, students of mathematics, chemistry, and engineering, as well as their teachers, will also find it of value.
 Language
 eng
 Extent
 X, 182 p. 8 illus.
 Contents

 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.
 Isbn
 9783319761657
 Label
 Exercises and Problems in Mathematical Methods of Physics
 Title
 Exercises and Problems in Mathematical Methods of Physics
 Statement of responsibility
 by Giampaolo Cicogna
 Subject

 Functions of a Complex Variable
 Integral transforms
 Operator theory
 Group Theory and Generalizations
 Operator Theory
 Fourier analysis
 Physics
 Group theory
 Integral transforms
 Electronic resources
 Fourier Analysis
 Functions of complex variables
 Operator Theory
 Fourier analysis
 Physics
 Calculus, Operational
 Calculus, Operational
 Functions of complex variables
 Physics
 Mathematical Methods in Physics
 Integral Transforms, Operational Calculus
 Fourier Analysis
 Group theory
 Operator theory
 Language
 eng
 Summary
 This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts with exercises based on first definitions, followed by groups of problems devoted to intermediate and, subsequently, more elaborate situations. Some of the problems are unavoidably "routine", but others bring to the forenontrivial properties that are often omitted or barely mentioned in textbooks. There are also problems where the reader is guided to obtain important results that are usually stated in textbooks without complete proofs. In all, some 350 solved problems covering all mathematical notions useful to physics are included. While the book is intended primarily for undergraduate students of physics, students of mathematics, chemistry, and engineering, as well as their teachers, will also find it of value.
 http://library.link/vocab/creatorName
 Cicogna, Giampaolo
 Image bit depth
 0
 LC call number
 QC5.53
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Undergraduate Lecture Notes in Physics,
 http://library.link/vocab/subjectName

 Physics
 Group theory
 Fourier analysis
 Functions of complex variables
 Integral transforms
 Calculus, Operational
 Operator theory
 Physics
 Mathematical Methods in Physics
 Fourier Analysis
 Operator Theory
 Functions of a Complex Variable
 Integral Transforms, Operational Calculus
 Group Theory and Generalizations
 Label
 Exercises and Problems in Mathematical Methods of Physics, by Giampaolo Cicogna, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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.
 Dimensions
 unknown
 Extent
 X, 182 p. 8 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319761657
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319761657
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319761657
 Label
 Exercises and Problems in Mathematical Methods of Physics, by Giampaolo Cicogna, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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.
 Dimensions
 unknown
 Extent
 X, 182 p. 8 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319761657
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319761657
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319761657
Subject
 Calculus, Operational
 Calculus, Operational
 Electronic resources
 Fourier Analysis
 Fourier Analysis
 Fourier analysis
 Fourier analysis
 Functions of a Complex Variable
 Functions of complex variables
 Functions of complex variables
 Group Theory and Generalizations
 Group theory
 Group theory
 Integral Transforms, Operational Calculus
 Integral transforms
 Integral transforms
 Mathematical Methods in Physics
 Operator Theory
 Operator Theory
 Operator theory
 Operator theory
 Physics
 Physics
 Physics
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