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![]() Free Download Morse Homology with Differential Graded Coefficients English | 2025 | ISBN: 3031880196 | 231 Pages | PDF (True) | 5 MB The key geometric objects underlying Morse homology are the moduli spaces of connecting gradient trajectories between critical points of a Morse function. The basic question in this context is the following: How much of the topology of the underlying manifold is visible using moduli spaces of connecting trajectories? The answer provided by "classical" Morse homology as developed over the last 35 years is that the moduli spaces of isolated connecting gradient trajectories recover the chain homotopy type of the singular chain complex. ![]() Free Download More Than Words: How Talking Sharpens the Mind and Shapes Our World by Maryellen MacDonald, English | June 3rd, 2025 | ISBN: 0593545273 | 336 pages | True EPUB | 0.93 MB Humans are the only species that can transform internal ideas into talk, whether through speech, writing, or sign language. 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Jensen and Winthereik focus on efforts by aid organizations to make better use of information technology; they analyze a range of development aid information infrastructures created to increase accountability and effectiveness. They find that constructing these infrastructures is not simply a matter of designing and implementing technology but entails forging new platforms for action that are simultaneously imaginative and practical, conceptual and technical. 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Gasper, "Money and the Church in Medieval Europe, 1000-1200: Practice, Morality and Thought " English | ISBN: 1472420993 | 2015 | 320 pages | EPUB | 35 MB Bringing together essays from experts in a variety of disciplines, this collection explores two of the most important facets of life within the medieval Europe: money and the church. By focusing on the interactions between these subjects, the volume addresses four key themes. Firstly it offers new perspectives on the role of churchmen in providing conceptual frameworks, from outright condemnation, to sophisticated economic theory, for the use and purpose of money within medieval society. Secondly it discusses the dichotomy of money for the church and its officers: on one hand voices emphasise the moral difficulties in engaging with money, on the other the reality of the ubiquitous use of money in the church at all levels and in places within Christendom. 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