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140122  eng 
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a 9780817681746

100 
1 

a Kanwal, Ram P.

245 
0 
0 
a Generalized Functions
h Elektronische Ressource
b Theory and Applications
c by Ram P. Kanwal

250 


a 3rd ed. 2004

260 


a Boston, MA
b Birkhäuser Boston
c 2004, 2004

300 


a XX, 476 p. 1 illus
b online resource

505 
0 

a Preface to the Third Edition  Preface to the Second Edition  Preface to the First Edition  The Dirac Delta Function and Delta Sequences  The SchwartzSobolev Theory of Distributions  Additional Properties of Distributions  Distributions Defined by Divergent Integrals  Distributional Derivatives of Functions with Jump Discontinuities  Tempered Distributions and the Fourier Transforms  Direct Products and Convolutions of Distributions  The Laplace Transform  Applications to Ordinary Differential Equations  Applications to Partial Differential Equations  Applications to Boundary Value Problems  Applications to Wave Propagation  Interplay between Generalized Functions and the Theory of Moments  Linear Systems  Miscellaneous Topics  References  Index

653 


a Applied mathematics

653 


a Functional analysis

653 


a Integral equations

653 


a Engineering mathematics

653 


a Mathematical analysis

653 


a Functional Analysis

653 


a Partial Differential Equations

653 


a Applications of Mathematics

653 


a Integral Equations

653 


a Physics

653 


a Mathematical Methods in Physics

653 


a Analysis (Mathematics)

653 


a Partial differential equations

653 


a Analysis

710 
2 

a SpringerLink (Online service)

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0 
7 
a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

856 


u https://doi.org/10.1007/9780817681746?nosfx=y
x Verlag
3 Volltext

082 
0 

a 515.45

520 


a This third edition of "Generalized Functions" expands the treatment of fundamental concepts and theoretical background material and delineates connections to a variety of applications in mathematical physics, elasticity, wave propagation, magnetohydrodynamics, linear systems, probability and statistics, optimal control problems in economics, and more. In applying the powerful tools of generalized functions to better serve the needs of physicists, engineers, and applied mathematicians, this work is quite distinct from other books on the subject. Key new topics and important features: * Examination of the Poisson Summation Formula and the concepts of differential forms and the delta distribution on wave fronts * Enhanced presentation of the Schroedinger, Klein–Gordon, Helmholtz, heat and wave equations * Exposition driven by additional examples and exercises * Comprehensive bibliography and index * Prerequisites: advanced calculus, ordinary and partial differential equations  From the Reviewers: "Kanwal’s book is a worthy member of this company [Gelfand and Shilov, Semanian, Friedman, Jones, and BarrosNeto]. Its strength lies in the application to classical physics….[it presents] a wealth of applications that cannot be found in any other single source…Kanwal has written a valuable book accessible to firstyear graduate students in physics and engineering." Ivar Stakgold, Mathematics, University of Delaware "The advantage of this text is in carefully gathered examples explaining how to use corresponding properties…. Even the standard material connecting with partial and ordinary differential equations is rewritten in modern terminology." Zentralblatt
