Introduction to Applied Mathematics

1988
ISBN: 978-0-387-96884-1
Verlag: Springer

Buch, Englisch, Band 1, 370 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1590 g

Reihe: Texts in Applied Mathematics

From 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."

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Sirovich, Lawrence

Fachgebiete

• Naturwissenschaften Biowissenschaften Biowissenschaften
• Mathematik | Informatik Mathematik Mathematische Analysis
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Naturwissenschaften Chemie Chemie Allgemein Chemische Labormethoden, Stöchiometrie
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Chemie Chemie Allgemein Toxikologie, Gefahrstoffe, Sicherheit in der Chemie
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
• Naturwissenschaften Chemie Chemie Allgemein Pharmazeutische Chemie, Medizinische Chemie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Chemie Chemie Allgemein Chemometrik, Chemoinformatik
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie

Inhaltsverzeichnis

Contents: 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.