categorias preço empresarial
Manual grátis

Matematisk Analyse 2b

Løsningsprocedurer for visse opgavetyper i teorien for Reell

páginaprincipal.livro.por Leif Mejlbro
0 Opiniões
87
páginaprincipal.livro.idioma:  Danish
Et gratis løsningsprocedurer kompendium til matematisk analyse for ingeniør studerende
Faz download de manuais em PDF grátis ou lê online. Com menos 15 % de anúncios
Subscrição para empresas grátis nos primeiros 30 dias, após o período $5.99/mês
Descrição
Prefácio
Conteúdos

Et gratis løsningsprocedurer kompendium til matematisk analyse for ingeniør studerende

Hermed følger en vejledning til regning af opgaver fra det gamle kursus i Matematisk Analyse 2 (nu en del af MAT 1), efter lærebogen P. W. Karlsson og V. L. Hansen, Matematisk analyse 2, Funktioner af flere variable, Institut for Matematik, Danmarks Tekniske Universitet, 1998 eller senere.

Dette kompendium er dog på ingen måde afhængig af ovennævnte lærebog, men kan bruges som supplement til ethvert kursus på en højere læreanstalt omhandlende teorien for funktioner af flere variable.

De enkelte kapitler behandler hver sin standardopgavetype, og der gives nogle kortfattede metoder (løsningsprocedurer) til løsning af opgaverne.

Appendix A består af en samling af de formler, der underforstås kendt fra gymnasiet og MAT 1. Da de ikke vil blive gennemgået, vil det være en god ide, om man i løbet af semestret selv lærer de fleste formler i Appendix A udenad.

Leif Mejlbro

  1. Integration af trigonometriske polynomier
  2. Kompleks dekomposition af brudden rational funktion
  3. Integration af brudden rational funktion
  4. Denitionsmængde for en funktion
  5. Kædereglen
  6. Udregning af den retningsafledede
  7. Approksimerende polynomium
  8. Gradientfelt; stamfunktion
  9. Oversigt over integration i planen og i rummet
  10. Reduktion af planintegral; retvinklet version
  11. Reduktion af planintegral; polær version
  12. Reduktion af rumintegral; retvinklet version
  13. Reduktion af rumintegral; semipolær version
  14. Reduktion af rumintegral; sfærisk version
  15. Kurveintegral
  16. Fladeintegral
  17. Transformationssætninger
  18. Uegentlige integraler; begrænset område
  19. Uegentlige integraler; ubegrænset område
  20. Opstilling af kurve-, plan-, flade- og rumintegral
  21. Tangentielt kurveintegral; gradientfelt
  22. Vektorfelts flux og divergens; Gauß’ sætning
  23. Vektorfelts rotation; Stokes’ sætning
  24. Greens sætninger i planen
  25. Nabla-kalkylen
  26. Delvis integration i højere dimensioner
  27. Vektorpotential
  28. Største- og mindsteværdi; global undersgelse
  29. Ekstremum; lokal undersøgelse
  30. Formler

páginaprincipal.livro.sobre_autor

Leif Mejlbro

Leif Mejlbro was educated as a mathematician at the University of Copenhagen, where he wrote his thesis on Linear Partial Differential Operators and Distributions. Shortly after he obtained a position at the Technical University of Denmark, where he remained until his retirement in 2003. He has twice been on leave, first time one year at the Swedish Academy, Stockholm, and second time at the Copenhagen Telephone Company, now part of the Danish Telecommunication Company, in both places doing research.

At the Technical University of Denmark he has during more than three decades given lectures in such various mathematical subjects as Elementary Calculus, Complex Functions Theory, Functional Analysis, Laplace Transform, Special Functions, Probability Theory and Distribution Theory, as well as some courses where Calculus and various Engineering Sciences were merged into a bigger course, where the lecturers had to cooperate in spite of their different background. He has written textbooks to many of the above courses.

His research in Measure Theory and Complex Functions Theory is too advanced to be of interest for more than just a few specialist, so it is not mentioned here. It must, however, be admitted that the philosophy of Measure Theory has deeply in uenced his thinking also in all the other mathematical topics mentioned above.

After he retired he has been working as a consultant for engineering companies { at the latest for the Femern Belt Consortium, setting up some models for chloride penetration into concrete and giving some easy solution procedures for these models which can be applied straightforward without being an expert in Mathematics. Also, he has written a series of books on some of the topics mentioned above for the publisher Ventus/Bookboon.