Background
Lawden, Derek Frank was born on September 15, 1919 in Birmingham, United Kingdom. Son of Joseph and Lily Louisa (Morgan) Lawden.
( This elementary introduction pays special attention to ...)
This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult. Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in curved spaces and its application to general relativity theory. Topics include the special principle of relativity and Lorentz transformations; orthogonal transformations and Cartesian tensors; special relativity mechanics and electrodynamics; general tensor calculus and Riemannian space; and the general theory of relativity, including a focus on black holes and gravitational waves. The text concludes with a chapter offering a sound background in applying the principles of general relativity to cosmology. Numerous exercises advance the theoretical developments of the main text, thus enhancing this volume’s appeal to students of applied mathematics and physics at both undergraduate and postgraduate levels. Preface. List of Constants. References. Bibliography.
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(The subject matter of this book formed the substance of a...)
The subject matter of this book formed the substance of a mathematical se am which was worked by many of the great mathematicians of the last century. The mining metaphor is here very appropriate, for the analytical tools perfected by Cauchy permitted the mathematical argument to penetra te to unprecedented depths over a restricted region of its domain and enabled mathematicians like Abel, Jacobi, and Weierstrass to uncover a treasurehouse of results whose variety, aesthetic appeal, and capacity for arousing our astonishment have not since been equaled by research in any other area. But the circumstance that this theory can be applied to solve problems arising in many departments of science and engineering graces the topic with an additional aura and provides a powerful argument for including it in university courses for students who are expected to use mathematics as a tool for technological investigations in later life. Unfortunately, since the status of university staff is almost wholly determined by their effectiveness as research workers rather than as teachers, the content of undergraduate courses tends to reflect those academic research topics which are currently popular and bears little relationship to the future needs of students who are themselves not destined to become university teachers. Thus, having been comprehensively explored in the last century and being undoubtedly difficult .
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( A thorough exploration of the universal principles of t...)
A thorough exploration of the universal principles of thermodynamics and statistical mechanics, this volume explains the applications of these essential rules to a multitude of situations arising in physics and engineering. It develops their use in a variety of circumstances—including those involving gases, crystals, and magnets—in order to illustrate general methods of analysis and to provide readers with all the necessary background to continue in greater depth with specific topics. Author D. F. Lawden has considerable experience in teaching this subject to university students of varied abilities and backgrounds. Well acquainted with which concepts and arguments sometimes prove problematic, he presents the potentially difficult sections with particular care. Students can supplement their understanding by working through the numerous exercises which appear throughout the text. Mathematical physicists will find this volume of particular value, as will engineers requiring a basic but comprehensive introduction to the principles of thermodynamics and statistical mechanics.
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Lawden, Derek Frank was born on September 15, 1919 in Birmingham, United Kingdom. Son of Joseph and Lily Louisa (Morgan) Lawden.
Bachelor, St. Catharine's College, Cambridge, England, 1939. Wrangler, St. Catharine's College, Cambridge, England, 1947. Doctor of Science, St. Catharine's College, Cambridge, England, 1962.
Senior lecturer mathematics, Royal Military College Science, Shrivenham, United Kingdom, 1948-1951; senior lecturer mathematics, College Technology, Birmingham, United Kingdom, 1951-1955; head mathematics, U. Canterbury, Christchurch, New Zealand, 1955-1967; professor mathematics, U. Aston, Birmingham, 1967-1977; head mathematics, U. Aston, Birmingham, 1977-1983; visiting professor, U. Natal, Durban, South Africa, 1984; retired, 1984. Consultant Boeing Aircraft Company, Seattle, 1959-1961, Radiation Inc., Orlando, Florida, 1958-1961.
( A thorough exploration of the universal principles of t...)
(The subject matter of this book formed the substance of a...)
( This elementary introduction pays special attention to ...)
Served to captain Royal Artillery, 1940-1946. Fellow Royal Society New Zealand (Hector medal 1964), Institute of Mathematics and Applications.
Married Dorothy Mary Smith, June 13, 1940. Children: Gregor, Michael, Mark.