A Guide to Distribution Theory and Fourier Transforms - Softcover

Strichartz, Robert S

Softcover

ISBN 10: 9812384308 ISBN 13: 9789812384300

Verlag: WSPC, 2003

Inhaltsangabe

Páginas:238Géneros:12:PBK:Calculus&mathematicalanalysis12:PBW:Appliedmathematics12:PBKJ:Differentialcalculus&equationsSinopsis:ThisimportantbookprovidesaconciseexpositionofthebasicideasofthetheoryofdistributionandFouriertransformsanditsapplicationtopartialdifferentialequations.Theauthorclearlypresentstheideas,precisestatementsoftheorems,andexplanationsofideasbehindtheproofs.Methodsinwhichtechniquesareusedinapplicationsareillustrated,andmanyproblemsareincluded.Thebookalsointroducesseveralsignificantrecenttopics,includingpseudodifferentialoperators,wavefrontsets,wavelets,andquasicrystals.Backgroundmathematicalprerequisiteshavebeenkepttoaminimum,withonlyaknowledgeofmultidimensionalcalculusandbasiccomplexvariablesneededtofullyunderstandtheconceptsinthebook.AGuidetoDistributionTheoryandFourierTransformscanserveasatextbookforpartsofacourseonAppliedAnalysisorMethodsofMathematicalPhysics,andinfactitisusedthatwayatCornell._,

Über diesen Titel

Reseña del editor:

This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.

Reseña del editor:

Providing a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations, this book clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.

Über diese Auflage

• Verlag: WSPC
• Erscheinungsdatum: 2003
• ISBN 10: 9812384308
• ISBN 13: 9789812384300
• Einband: Tapa blanda
• Anzahl der Seiten: 238