Dirac operators play an important role in several domains of mathematics and mathematical physics. In this self-contained text, the basic theories underlying the concept of Dirac operators are explored. Starting with preliminary material, the book covers Clifford algebras, manifolds, conformal maps, unique continuation and the Cauchy kernel, and boundary values. Only real analysis is required, although complex analysis is helpful. A good textbook for senior undergrad and graduate students, it will also be a useful resource for math physicists and theoretical physicists.

Review

"The text should be accessible for senior undergraduate and graduate students. It requires very little previous knowledge of the domains covered. More advanced readers could perhaps appreciate the new approach to the theory as well as some new results on boundary value theory."

―Mathematical Reviews

"This book gives an introduction to Dirac operators on manifolds for readers with little knowledge in differential geometry and analysis.... Compared to other books treating similar subjects...the present book is considerably more elementary and is mostly restricted to results that can easily be obtained out of the definitions."

―Zentralblatt Math

"The extraordinary importance of Dirac operators in variuos domains of mathematics and physics is well known. So, although there are some remakrable monographs on Dirac operators, the high number of recent papers covering several subjects needs periodical surveys...

The book is excellent for beginners offering several ideas of research and a global picture of a fascinating theory!" ---Memoriile Sectiilor Stiintifice

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