Johan A.C. Kolk's Books

This (post) graduate text gives a broad introduction to Lie groups and algebras with an emphasis on differential geometrical methods. It analyzes the structure of compact Lie groups in terms of the action of the group on itself by conjugation, culminating in the classification of the representations of compact Lie groups and their realization as sections of holomorphic line bundles over flag manifolds. Appendices provide background reviews.

This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.

Two-volume set of the authors' comprehensive and innovative work on multidimensional real analysis.

Part one of a comprehensive text on multidimensional real analysis, including numerous exercises with partial solutions.

Book's by Johan A.C. Kolk

Lie Groups

Lie Groups

Distributions

Distributions

Lie Groups

Lie Groups

Multidimensional Real Analysis

Multidimensional Real Analysis

Multidimensional Real Analysis I

Multidimensional Real Analysis I

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