NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
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Print
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
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Includes index.
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Includes bibliographical references and index.
CONTENTS NOTE
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This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields. --Book Jacket.
Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: --
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pt. 1. Real analysis -- pt. 2. Functional analysis -- pt. 3. Complex analysis -- pt. 4. Fourier analysis -- pt. 5. Differential equations -- pt. 6. Tensor analyses -- pt. 7. Appendixes.