Mathematics Textbooks Textbooks, by Leif Mejlbro
Examples of Applications of The Power Series...
A book with a collection of examples of how to solve linear differential equations with polynomial coefficients by the method of power series.
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A book with a collection of examples of how to solve linear differential equations with polynomial coefficients by the method of power series.
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About Leif Mejlbro (View Profile)
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<em>Leif Mejlbro</em> was educated as a mathematician at the <em>University of Copenhagen</em>, where he wrote his thesis on <em>Linear Partial Differential Operators and Distributions</em>. Shortly after he obtained a position at the <em>Technical University of Denmark</em>, where he remained until his retirement in 2003. He has twice been on leave, first time one year at the <em>Swedish Academy, Stockholm</em>, and second time at <em>the Copenhagen Telephone Company</em>, now part of the <em>Danish Telecommunication Company</em>, in both places doing research.
At the <em>Technical University of Denmark</em> he has during more than three decades given lectures in such various mathematical subjects as <em>Elementary Calculus, Complex Functions Theory, Functional Analysis, Laplace Transform, Special Functions, Probability Theory</em> and <em>Distribution Theory</em>, as well as some courses where <em>Calculus</em> and various <em>Engineering Sciences</em> 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 <em>Measure Theory</em> and <em>Complex Functions Theory</em> 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 <em>Measure Theory</em> 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 <em>Femern Belt Consortium</em>, 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 <em>Mathematics</em>. Also, he has written a series of books on some of the topics mentioned above for the publisher <em>Ventus/Bookboon</em>.
Comments for "Examples of Applications of The Power Series..."
Second-order ordinary differential equations
By: R.S. Johnson
Ordinary differential equations, and second-order equations in particular, are at the heart of many mathematical descriptions of physical systems, as used by engineers, physicists and applied mathematicians. This text provides an introduction to all the relevant material normally encountered at university level: series solution, special functions (Bessel, etc.), Sturm-Liouville theory (involving t...
Linear Algebra III
By: Kenneth Kuttler
This contains advanced topics such as various factorizations, singular value decompositions, Moore Penrose inverse, norms, convergence theorems, and an introduction to numerical methods like QR algorithm. Finally, there are some appendices which contain applications of linear algebra or linear algebra techniques. This includes more on general fields and an introduction to geometric theory of diffe...