Tag: Complex

Reshaping Engineering Education Addressing Complex Human Challenges


Free Download Reshaping Engineering Education: Addressing Complex Human Challenges by Fawwaz Habbal , Anette Kolmos , Roger G. Hadgraft , Jette Egelund Holgaard , Kamar Reda
English | PDF EPUB (True) | 2023 | 274 Pages | ISBN : 9819958725 | 15.8 MB
This book is dedicated to exploring methods and charting the course for enhancing engineering education in and beyond 2023. It delves into the idea that education, coupled with social connections, is indispensable for a more profound comprehension of the world and the creation of an improved quality of life. The book serves as a conduit for incorporating complex problem-solving into engineering education across various formats. It offers a structured approach for tackling complex issues, comparing an array of techniques for managing complexity within the realm of engineering education.

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Complex Networks & Their Applications VI (2024)


Free Download Chantal Cherifi, Hocine Cherifi, Márton Karsai, "Complex Networks & Their Applications VI"
English | 2017 | ISBN: 3319721496, 3319891499 | PDF | pages: 1290 | 142.3 mb
This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the VI International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2017), which took place in Lyon on November 29 – December 1, 2017. The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, network dynamics; diffusion, epidemics and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and ecological networks and technological networks.

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Topological and Statistical Methods for Complex Data Tackling Large-Scale, High-Dimensional, and Multivariate Data Spac


Free Download Janine Bennett, "Topological and Statistical Methods for Complex Data: Tackling Large-Scale, High-Dimensional, and Multivariate Data Spac"
English | ISBN: 3662448998 | 2015 | 312 pages | PDF | 10 MB
This book contains papers presented at the Workshop on the Analysis of Large-scale, High-Dimensional, and Multi-Variate Data Using Topology and Statistics, held in Le Barp, France, June 2013. It features the work of some of the most prominent and recognized leaders in the field who examine challenges as well as detail solutions to the analysis of extreme scale data.

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Topics in Complex Analysis


Free Download Topics in Complex Analysis by Dan Romik
English | PDF EPUB | 2023 | 308 Pages | ISBN : 3110796783 | 38.2 MB
This graduate-level mathematics textbook provides an in-depth and readable exposition of selected topics in complex analysis. The material spans both the standard theory at a level suitable for a first-graduate class on the subject and several advanced topics delving deeper into the subject and applying the theory in different directions. The focus is on beautiful applications of complex analysis to geometry and number theory. The text is accompanied by beautiful figures illustrating many of the concepts and proofs.

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From Holomorphic Functions to Complex Manifolds


Free Download From Holomorphic Functions to Complex Manifolds by Klaus Fritzsche , Hans Grauert
English | PDF (True) | 2002 | 406 Pages | ISBN : 0387953957 | 32.1 MB
The aim of this book is to give an understandable introduction to the the ory of complex manifolds. With very few exceptions we give complete proofs. Many examples and figures along with quite a few exercises are included. Our intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as possible. Therefore, the abstract concepts involved with sheaves, coherence, and higher-dimensional cohomology are avoided. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional co cycles are used. Nevertheless, deep results can be proved, for example the Remmert-Stein theorem for analytic sets, finiteness theorems for spaces of cross sections in holomorphic vector bundles, and the solution of the Levi problem. The first chapter deals with holomorphic functions defined in open sub sets of the space en. Many of the well-known properties of holomorphic functions of one variable, such as the Cauchy integral formula or the maxi mum principle, can be applied directly to obtain corresponding properties of holomorphic functions of several variables. Furthermore, certain properties of differentiable functions of several variables, such as the implicit and inverse function theorems, extend easily to holomorphic functions.

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Complex Networks and Their Applications XI (2024)


Free Download Complex Networks and Their Applications XI: Proceedings of The Eleventh International Conference on Complex Networks and Their Applications: COMPLEX NETWORKS 2022 – Volume 1 by Hocine Cherifi, Rosario Nunzio Mantegna, Luis M. Rocha, Chantal Cherifi, Salvatore Miccichè
English | PDF,EPUB | 2023 | 667 Pages | ISBN : 303121126X | 159.4 MB
This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the XI International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2022). The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, network dynamics; diffusion, epidemics, and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks and technological networks.

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Complex Analytic Desingularization (2024)


Free Download Complex Analytic Desingularization by José Manuel Aroca , Heisuke Hironaka , José Luis Vicente
English | EPUB (True) | 2019 | 356 Pages | ISBN : 4431702180 | 19.4 MB
[From the foreword by B. Teissier] The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka’s general approach, have appeared, the validity of some of them extending beyond the complex analytic case. The proof has now been so streamlined that, although it was seen 50 years ago as one of the most difficult proofs produced by mathematics, it can now be the subject of an advanced university course. Yet, far from being of historical interest only, this long-awaited book will be very rewarding for any mathematician interested in singularity theory. Rather than a proof of a canonical or algorithmic resolution of singularities, what is presented is in fact a masterly study of the infinitely near "worst" singular points of a complex analytic space obtained by successive "permissible" blowing ups and of the way to tame them using certain subspaces of the ambient space. This taming proves by an induction on the dimension that there exist finite sequences of permissible blowing ups at the end of which the worst infinitely near points have disappeared, and this is essentially enough to obtain resolution of singularities. Hironaka’s ideas for resolution of singularities appear here in a purified and geometric form, in part because of the need to overcome the globalization problems appearing in complex analytic geometry.

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Complex Analysis by Serge Lang


Free Download Complex Analysis by Serge Lang
English | PDF | 1999 | 498 Pages | ISBN : 0387985921 | 31.7 MB
The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor’s fancy at the time as well as extra read ing material for students on their own. A large number of routine exer cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues.

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