Tag: Jacobi

The Philosophy of Friedrich Heinrich Jacobi On the Contradiction between System and Freedom


Free Download Birgit Sandkaulen, "The Philosophy of Friedrich Heinrich Jacobi: On the Contradiction between System and Freedom "
English | ISBN: 1350235717 | 2023 | 280 pages | EPUB | 567 KB
The contemporaries of Friedrich Heinrich Jacobi (1743-1819) openly acknowledged his towering importance. Both Fichte and Hegel praised him in the same breath with Kant as having launched the philosophical revolution they sought to complete. Yet for more than a century, misrepresentations of Jacobi’s thought have stood in the way of a proper appreciation of his insights. In her study of this long-neglected German philosopher, internationally-renowned Jacobi expert Birgit Sandkaulen interprets his philosophical writings in their intellectual context. Originally published in German and translated into English for the first time, this is a major contribution to reading the life, work, and legacy of Jacobi. The biographical chapter on Jacobi’s life as a public intellectual was written specifically for this English edition.

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Jacobi Matrices and the Moment Problem


Free Download Jacobi Matrices and the Moment Problem
English | 2023 | ISBN: 3031463862 | 487 Pages | PDF EPUB (True) | 41 MB
This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of strongly,trigonometric, complex and real two-dimensional moment problems are discussed, and the Jacobi-type matrices corresponding to the trigonometric moment problem are shown. The Berezansky theory of the expansion in generalized eigenvectors for corresponding set of commuting operators plays the key role in the proof of results.

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