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Two remarkable Iranian world-maps were discovered in 1989 and 1995. Both are made of brass and date from 17th-century Iran. Mecca is at the centre and a highly sophisticated longitude and latitude grid enables the user to determine the direction and distance to Mecca for anywhere in the world between Andalusia and China. Prior to the discovery of these maps it was thought that such cartographic grids were conceived in Europe ca. 1910. This richly-illustrated book presents an overview of the ways in which Muslims over the centuries have determined the sacred direction towards Mecca (qibla) and then describes the two world-maps in detail. The author shows that the geographical data derives from a 15th-century Central Asian source and that the mathematics underlying the grid was developed in 9th-century Baghdad.
This book constitutes the refereed proceedings of the 11th International Conference on Algorithms and Computation, ISAAC 2000, held in Taipei, Taiwan in December 2000. The 46 revised papers presented together with an invited paper were carefully reviewed and selected from 87 submissions. The papers are organized in topical sections on algorithms and data structures; combinatorial optimization; approximation and randomized algorithms; graph drawing and graph algorithms; automata, cryptography, and complexity theory; parallel and distributed algorithms; computational geometry; and computational biology.
Bu kitabın amacı, temel ilkelerden ayrılmadan, teori ve sembolleri olabildiğince en aza indirip matematiğin ekonomi problemlerinin çözümünde nasıl kullanılabileceğini göstermektir. Lisansüstü öğrencilere dönük ileri konulara da yer verilmiş olmakla birlikte, kitap, matematiği seven, matematiğin akademik düzeyde iktisadın vazgeçilmez parçası olduğuna inanan ancak bir o kadar da korkanlar için, kolaylaştırıcı açıklamalar ve örneklerin tercih edildiği bir başvuru kaynağıdır.
This book constitutes the proceedings of the 19th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2021, which took place in Marseille, France, during November 2-5, 2021. The 29 papers presented in this book were carefully reviewed and selected from 35 submissions. They deal with the development and dissemination of relation algebras, Kleene algebras, and similar algebraic formalisms. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond.
Continuous time parameter Markov chains have been useful for modeling various random phenomena occurring in queueing theory, genetics, demography, epidemiology, and competing populations. This is the first book about those aspects of the theory of continuous time Markov chains which are useful in applications to such areas. It studies continuous time Markov chains through the transition function and corresponding q-matrix, rather than sample paths. An extensive discussion of birth and death processes, including the Stieltjes moment problem, and the Karlin-McGregor method of solution of the birth and death processes and multidimensional population processes is included, and there is an extensive bibliography. Virtually all of this material is appearing in book form for the first time.
Dördüncü basımına ulaşan Analiz I isimli bu kitap; Fen ve Mühendislik Fakültelerinin birinci sınıfında verilmekte olan Analiz I-II (Matematik I-II) derslerinin programına uygun olarak hazırlanmıştır ve çok miktarda çözümlü problem içermektedir. Birinci bölümde; reel sayıların tanıtımı, sıralama, sınırlı kümeler, komşuluk kavramı gibi temel konular incelenmektedir. Sonraki bölümlerde; fonksiyonlar, reel sayı dizileri, elemantar fonksiyonlar, seriler, fonksiyonlarda limit, süreklilik, türev ve integral kapsamlı olarak ele alınmaktadır.
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