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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations
Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.
Emerging Applications of Differential Equations and Game Theory
Branches of mathematics and advanced mathematical algorithms can help solve daily problems throughout various fields of applied sciences. Domains like economics, mechanical engineering, and multi-person decision making benefit from the inclusion of mathematics to maximize utility and cooperation across disciplines. There is a need for studies seeking to understand the theories and practice of using differential mathematics to increase efficiency and order in the modern world. Emerging Applications of Differential Equations and Game Theory is a collection of innovative research that examines the recent advancements on interdisciplinary areas of applied mathematics. While highlighting topics such as artificial neuron networks, stochastic optimization, and dynamical systems, this publication is ideally designed for engineers, cryptologists, economists, computer scientists, business managers, mathematicians, mechanics, academicians, researchers, and students.
Measure and Integration
This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis. Proceeding at a leisurely, student-friendly pace, the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and Lebesgue integration. Further chapters cover Fourier series, differentiation, modes of convergence, and product measures. Noteworthy topics discussed in the text include Lp spaces, the Radon–Nikodým Theorem, signed measures, the Riesz Representation Theorem, and the Tonelli and Fubini Theorems. This textbook, based on extensive teaching experience, is written for senior undergraduate and beginning graduate students in mathematics. With each topic carefully motivated and hints to more than 300 exercises, it is the ideal companion for self-study or use alongside lecture courses.
İslam Medeniyetinde Bilim Öncüleri 8 - Tarih
Müslüman dünyada dini ilimlerle ilgilenen bilim adamları çok itibar görmüştür. Diğer dünyevi ve pozitif ilimlerle ilgilenen bilim adamlarına karşı ise maalesef, birinci gruptakiler kadar ilgi gösterilmemiştir. Askere teknolojiyi, yazara kâğıdı, hastaya sağlığı, halkın rahatlığı için mimariyi üreten onlarken; belki de pozitif ayrımcılık sebebiyle, ilk grup gibi itibar görememişlerdir. Dahası zaman zaman ilk grup tarafından da aşağılanmışlardır. Aslında İslam dünyası maddi boyutlarda o günden bugüne gelebildiyse bunda önemli bir oranda onların payı ve emeği vardır. Bundan dolayıdır ki bu bilim insanlarına karşı vefa borcumuz bulunmakta...
Economics of Land Degradation and Improvement – A Global Assessment for Sustainable Development
This volume deals with land degradation, which is occurring in almost all terrestrial biomes and agro-ecologies, in both low and high income countries and is stretching to about 30% of the total global land area. About three billion people reside in these degraded lands. However, the impact of land degradation is especially severe on livelihoods of the poor who heavily depend on natural resources. The annual global cost of land degradation due to land use and cover change (LUCC) and lower cropland and rangeland productivity is estimated to be about 300 billion USD. Sub-Saharan Africa (SSA) accounts for the largest share (22%) of the total global cost of land degradation. Only about 38% of th...
Theory of the Navier-Stokes Equations
This volume collects the articles presented at the Third International Conference on ?The Navier-Stokes Equations: Theory and Numerical Methods?, held in Oberwolfach, Germany. The articles are important contributions to a wide variety of topics in the Navier-Stokes theory: general boundary conditions, flow exterior to an obstacle, conical boundary points, the controllability of solutions, compressible flow, non-Newtonian flow, magneto-hydrodynamics, thermal convection, the interaction of fluids with elastic solids, the regularity of solutions, and Rothe's method of approximation.
The admonitions of an Egyptian sage
The admonitions of an Egyptian sage from a hieratic papyrus in LeidenPap (Pap. Leiden 344 recto)
Ramsay in 10
'As an aid for batting away takeaway temptation and cooking from scratch, this cookbook's a winner.' - EVENING STANDARD 'Can you really knock up perfect lasagne, curry or sticky toffee pudding in just ten minutes? While Ramsay concedes that he cooks faster than most, he shows that speedy, delicious food is achievable for anyone.' - DAILY MAIL This is fine food at its fastest and fast food at its finest - 100 new incredibly delicious recipes, all clocking in at around 10 minutes. Inspired by his YouTube series, you'll be challenged to get creative in the kitchen and learn how to cook impressive, flavoursome dishes in no time. Whether you're looking to excite the whole family with a tasty One ...
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