03051nmm a2200349 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002300139245008700162250001700249260004800266300003200314505031600346653001700662653003600679653003100715653001900746653003100765653004300796653002500839653005600864710003400920041001900954989003800973490003301011856007201044082001001116520157501126EB000620079EBX0100000000000000047316100000000000000.0cr|||||||||||||||||||||140122 ||| eng a97814612458031 aSirovich, Lawrence00aIntroduction to Applied MathematicshElektronische Ressourcecby Lawrence Sirovich a1st ed. 1988 aNew York, NYbSpringer New Yorkc1988, 1988 aXII, 370 pbonline resource0 aContents: Complex Numbers -- Convergence and Limit -- Differentiation and Integration -- Discrete Linear Systems -- Fourier Series and Applications -- Spaces of Functions -- Partial Differential Equations -- The Fourier and Laplace Transforms -- Partial Differential Equations (Continued) -- References -- Index aChemometrics aMath. Applications in Chemistry aComputational intelligence aBiomathematics aComputational Intelligence aMathematical and Computational Biology aMathematical physics aTheoretical, Mathematical and Computational Physics2 aSpringerLink (Online service)07aeng2ISO 639-2 bSBAaSpringer Book Archives -20040 aTexts in Applied Mathematics uhttps://doi.org/10.1007/978-1-4612-4580-3?nosfx=yxVerlag3Volltext0 a530.1 aFrom the Preface: "The material in this book is based on notes for a course which I gave several times at Brown University. The target of the course was juniors and seniors majoring in applied mathematics, engineering and other sciences. My basic goal in the course was to teach standard methods, or what I regard as a basic "bag of tricks". In my opinion the material contained here, for the most part, does not depart widely from traditional subject matter. One such departure is the discussion of discrete linear systems. Besides being interesting in its own right, this topic is included because the treatment of such systems leads naturally to the use of discrete Fourier series, discrete Fourier transforms, and their extension, the Z-transform. On making the transition to continuous systems we derive their continuous analogues, viz., Fourier series, Fourier transforms, Fourier integrals and Laplace transforms. A main advantage to the approach taken is that a wide variety of techniques are seen to result from one or two very simple but central ideas. Above all, this course is intended as being one which gives the student a "can-do" frame of mind about mathematics. Students should be given confidence in using mathematics and not be made fearful of it. I have, therefore, forgone the theorem-proof format for a more informal style. Finally, a concerted effort was made to present an assortment of examples from diverse applications with the hope of attracting the interest of the student, and an equally dedicated effort was made to be kind to the reader."