Umfang:
Online-Ressource (XII, 270 p, online resource)
ISBN:
9781447100195
Serie:
Springer Undergraduate Mathematics Series
Inhalt:
This book, derived from an innovative course of lectures, is a first introduction to the mathematical description of fields, flows and waves. It shows students, early in their studies, how many of the topics they have encountered are useful in constructing, analysing and interpreting phenomena in the real world. Designed for second-year undergraduate students in mathematics, mathematical physics, and engineering, it presumes only a limited familiarity with several variable calculus and vector fields. It develops the concepts of flux, conservation law and boundary value problem through simple examples of heat flow, electric potentials and gravitational fields. The ideas are developed through worked examples, and a range of exercises (with solutions) is provided to test understanding. Chapters 1-7 contain ample material for an introductory lecture course, while later chapters on waves in fluids, solids and electromagnetism, and on bio-mathematics, show how the extension of earlier ideas leads to the description and explanation of important topics in modern technology and science
Weitere Ausg.:
ISBN 9781852337087
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Parker, D. F., 1940 - Fields, flows and waves London : Springer, 2003 ISBN 1852337087
Weitere Ausg.:
ISBN 9781852337087
Sprache:
Englisch
Fachgebiete:
Physik
Schlagwort(e):
Kontinuumsphysik
;
Vielteilchensystem
;
Mathematisches Modell
;
Kontinuum
;
Kontinuumsphysik
;
Mathematisches Modell
DOI:
10.1007/978-1-4471-0019-5
URL:
Volltext
(lizenzpflichtig)