Mathematics Textbooks Textbooks, by Leif Mejlbro
Real Functions in One Variable
Most students already have assigned textbooks when studying Calculus I, therefore this book takes a different approach to Calculus. It focuses primarily on explaining the central theories and warns students of the areas where mistakes are traditionally made.
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Most students already have assigned textbooks when studying Calculus I, therefore this book takes a different approach to Calculus. It focuses primarily on explaining the central theories and warns students of the areas where mistakes are traditionally made.
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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 "Real Functions in One Variable"
Calculus 2b - Real Functions in Several Variables
By: Leif Mejlbro
Gratis compendium voor Calculus 2b, reële vergelijkingen met meerdere variabelen, voorbeelden van mimimum en maximum integratie en vector analyse, in het Engels. This book requires knowledge of Linear Algebra and Calculus 1.
Essential Group Theory
By: Michael Batty
Essential Group Theory is an undergraduate mathematics text book introducing the theory of groups. It has been aimed primarily at mathematics students but those studying related disciplines such as computer science or physics should also find it useful. The first part summarizes the important points which will be found in most first undergraduate courses in group theory in brief concise chapters....