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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.
Analytic Aids
Analytiske funktioner
Analytiske hjælpemidler
Anvendelser af residueregning
Argumentprincippet og Mangetydige Funktioner
Real Functions in One Variable
Real Functions in One Variable - Taylor's...
Sequences and Power Series
Examples of Sequences
Examples of General Elementary Series
Examples of Power Series
Examples of Applications of The Power Series...
Fourier Series and Systems of Differential...
Examples of Fourier series
Examples of Eigenvalue Problems
Examples of Systems of Differential Equations...
Examples of Differential Equations of Second...
Real Functions in One Variable - Simple 1...
Real Functions in One Variable - Elementary...
Real Functions in One Variable - Integrals...
Real Functions in One Variable - Complex...
Real Functions in One Variable - Simple 2...
Calculus of Residua
Complex Functions c-1
Complex Functions Examples c-2
Complex Functions Examples c-3
Complex Functions Examples c-4
Complex Functions Examples c-5
Complex Functions Examples c-6
Complex Functions Examples c-7
Complex Functions Examples c-8
Complex Functions Examples c-9
Continuous Distributions
Discrete Distributions
Diskrete Fordelinger
Elementære analytiske funktioner og ...
Elementary Analytic Functions
Global Analyse
Global Analysis
Hilbertrum og Operatorer på Hilbertrum
Hilbert Spaces and Operators on Hilbert Spaces
Integraloperatorer
Integral Operators
Introduction to Probability
Komplekse tal
Konform Afbildning og Dirichletproblemet
Kontinuerte Fordelinger
Laurentrækker
Lineær Algebra, Eksempler c-1
Lineær Algebra, Eksempler c-2
Lineær Algebra, Eksempler c-3
Lineær Algebra, Eksempler c-4
Linear algebra c-1
Linear algebra c-2
Linear algebra c-3
Linear algebra c-4
Matematisk Analyse 1a
Matematisk Analyse 1c-1
Matematisk Analyse 1c-2
Matematisk analyse 1c-3
Matematisk Analyse 1c-4
Matematisk analyse 1c-5
Matematisk Analyse 1c-6
Matematisk Analyse 2b
Matematisk Analyse 2c
Matematisk Analyse 2c-1
Matematisk Analyse 2c-10
Matematisk Analyse 2c-2
Matematisk Analyse 2c-4
Matematisk Analyse 2c-5
Matematisk Analyse 2c-6
Matematisk Analyse 2c-7
Matematisk Analyse 2c-8
Matematisk Analyse 2c-9
Matematisk Analyse 3b
Matematisk Analyse 3c-1
Matematisk Analyse 3c-2
Matematisk Analyse 3c-3
Matematisk Analyse 3c-4
Matematisk Analyse 4b
Matematisk Analyse 4c-1
Matematisk Analyse 4c-2
Matematisk Analyse 4c-3
Matematisk Analyse 4c-4
Matematiske værktøjer i Signalanalyse
Nogle transformationer
Potensrækker
Random variables I
Random variables II
Random variables III
Residuer
Sandsynlighedsbegrebet
Spectral Theory
Spektralteori
Stability, Riemann Surfaces, Conformal Mappings
Stochastic Processes 1
Stochastic Processes 2
Stokastiske Processer 1
Stokastiske Processer 2
Stokastiske variable I
Stokastiske variable II
Stokastiske variable III
The Laplace Transformation I – General Theory
Topological and Metric Spaces, Banach Spaces...
Topologiske og metriske rum, Banachrum og...
My Horror Chamber
Complex Functions Theory c-11
Complex Functions Theory c-12
Methods for finding Zeros in Polynomials
Real Functions in Several Variables: Volume I
Real Functions in Several Variables: Volume II
Real Functions in Several Variables: Volume III
Real Functions in Several Variables: Volume IV
Real Functions in Several Variables: Volume V
Real Functions in Several Variables: Volume VI
Real Functions in Several Variables: Volume VII
Real Functions in Several Variables: Volume VIII
Real Functions in Several Variables: Volume IX
Real Functions in Several Variables: Volume X
Real Functions in Several Variables: Volume XI
Ordinary differential equations of first order