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It is also illustrated with 95 figures and photographs for further understanding. ![]() Free Download Mathematical Theory of Compressible Fluids on Moving Domains English | 2025 | ISBN: 3031833236 | 275 Pages | PDF EPUB (True) | 28 MB This monograph presents the existence and properties of both weak and strong solutions to the problems of the flow of a compressible fluid in a domain whose motion is prescribed. Chapters build upon the research of Lions and Feireisl with regards to weak solutions to the compressible version of the Navier-Stokes system, and extend it to problems on moving domains. The authors also show the existence of strong solutions to the compressible Navier-Stokes system for either a small time interval or small data. The opening chapters introduce the notation, tools, and problems covered in the rest of the book, emphasizing pedagogy and accessibility throughout. Mathematical Theory of Compressible Fluids on Moving Domains will be suitable for graduate students and researchers interested in mathematical fluid mechanics. ![]() Free Download William Gasarch, "Mathematical Muffin Morsels: Nobody Wants a Small Piece " English | ISBN: 9811215170 | 2020 | 228 pages | AZW3 | 24 MB Suppose you have five muffins that you want to divide and give to Alice, Bob, and Carol. You want each of them to get 5/3. You could cut each muffin into 1/3-1/3-1/3 and give each student five 1/3-sized pieces. But Alice objects! She has large hands! She wants everyone to have pieces larger than 1/3.Is there a way to divide five muffins for three students so that everyone gets 5/3, and all pieces are larger than 1/3? Spoiler alert: Yes! In fact, there is a division where the smallest piece is 5/12. Is there a better division? Spoiler alert: No.In this book we consider THE MUFFIN PROBLEM: what is the best way to divide up m muffins for s students so that everyone gets m/s muffins, with the smallest pieces maximized. We look at both procedures for the problem and proofs that these procedures are optimal.This problem takes us through much mathematics of interest, for example, combinatorics and optimization theory. 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Effort was also made for the content to constitute a reference source for researchers in physics and engineering. ![]() Free Download Math for Programming English | 2025 | ISBN: 171850358X | 512 Pages | PDF | 7 MB Every great programming challenge has mathematical principles at its heart. Whether you're optimizing search algorithms, building physics engines for games, or training neural networks, success depends on your grasp of core mathematical concepts. ![]() Free Download Materials Informatics III: Polymers, Solvents and Energetic Materials by Kunal Roy and Arkaprava Banerjee English | 2025 | ISBN: 3031787234 | 386 Pages | True PDF | 17.7 MB ![]() Free Download Ian Tattersall, "Masters of the Planet: The Search for Our Human Origins " English | ISBN: 1137278307 | 2013 | 288 pages | AZW3 | 1251 KB Fifty thousand years ago―merely a blip in evolutionary time―our Homo sapiens ancestors were competing for existence with several other human species, just as their precursors had done for millions of years. Yet something about our species distinguished it from the pack, and ultimately led to its survival while the rest became extinct. Just what was it that allowed Homo sapiens to become masters of the planet? |