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 .

Elliptic Functions and Applications (Applied Mathematical Sciences, 80)

Science & Math

LAWDEN, Derek F.

Mathematics

Springer

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An introduction to tensor calculus and relativity (Science paperback ; 38)

Chapman and Hall

An introduction to tensor calculus, relativity and cosmology

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.

An introduction to tensor calculus, relativity, and cosmology

John Wiley

Albert Einstein characterized the work of James Clerk Maxwell as the "most profound and the most fruitful that physics has experienced since the time of Newton." Max Planck went even further, declaring that "he achieved greatness unequalled," and Richard Feynman asserted that "From a long view of the history of mankind — seen from, say, ten thousand years from now — there can be little doubt that the most significant event of the nineteenth century will be judged as Maxwell's discovery of the laws of electrodynamics."Maxwell made numerous other contributions to the advancement of science, but the greatest work of his life was devoted to electricity. An Elementary Treatise on Electricity appeared at a time when very few books on electrical measurements were available to students, and its compact treatment not only elucidates the theory of electricity but also serves to develop electrical ideas in readers' minds. The author describes experiments that demonstrate the principal facts relating an electric charge as a quantity capable of being measured, deductions from these facts, and the exhibition of electrical phenomena.This volume, published posthumously from Maxwell's lecture notes at the Cavendish Laboratory — which he founded at the University of Cambridge — is supplemented by a selection of articles from his landmark book, Electricity and Magnetism. A classic of science, this volume is an eminently suitable text for upper-level undergraduates and graduate students.

Elements of Relativity Theory

Physics

John Wiley & Son Ltd

This book explores very carefully the universal principles of thermodynamics and statistical mechanics which provide a firm foundation for understanding how the theory can be applied to a multitude of situations arising in physics and engineering. A variety of such applications to gases, crystals, magnets, etc are developed to illustrate general methods of analysis in this area, providing the reader with all the background knowledge he will need to continue with any specific topic in greater depth. Professor Lawden has had considerable experience in teaching this subject to university students of varied abilities, and is therefore able to identify concepts and arguments which cause special difficulty. Such sections are presented with particular care. The student can also supplement his understanding of the text by working through the numerous exercises provided.

Principles of Thermodynamics and Statistical Mechanics

John Wiley&Sons, Inc.

Most texts on quantum mechanics are primarily designed for physicists. This one, taking a somewhat different approach, is geared toward upper-level undergraduates and graduate students in applied mathematics, and offers a practical and accessible overview of the most powerful and widely used tool of modern mathematical physics. The author develops the subject in a systematic and logical manner from a minimal set of axioms. These axioms are either suggested by experience of the physical world or necessitated by the mathematical model's requirement of internal consistency — an approach that will appeal to both applied mathematicians and mathematical physicists. The principles of the subject receive the primary focus throughout, and special physical problems appear strictly for the purpose of illustrating these principles. Suggestions for the solution of a large number of such problems are contained in the sets of exercises, of which there are more than a hundred. The theory is first developed for observables, such as the spin, which have only a finite number of eigenvalues. Later, the theory is extended to observables having continuous spectra; by this means, the theory's chief features are exhibited in the simplest possible mathematical context.

The Mathematical Principles of Quantum Mechanics (Dover Books on Physics)

Dover Publications

Elliptic Functions and Applications

Reference

Foreign Language Study & Reference

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

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Books by LAWDEN, Derek F.

See the best price to sell, buy, or rent books by LAWDEN, Derek F.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Elliptic Functions and Applications (Applied Mathematical Sciences, 80)

An introduction to tensor calculus and relativity (Science paperback ; 38)

An introduction to tensor calculus, relativity, and cosmology

Elements of Relativity Theory

Principles of Thermodynamics and Statistical Mechanics

The Mathematical Principles of Quantum Mechanics (Dover Books on Physics)

Elliptic Functions and Applications

Elliptic Functions and Applications