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"This book presents recent progress on uniformly hyperbolic attractors in dynamical systems from a physical rather than mathematical perspective (e.g. the Plykin attractor, the Smale – Williams solenoid). The structurally stable attractors manifest strong stochastic properties, but are insensitive to variation of functions and parameters in the dynamical systems. Based on these characteristics of hyperbolic chaos, this monograph shows how to find hyperbolic chaotic attractors in physical systems and how to design a physical systems that possess hyperbolic chaos. "

"Solutions of the wave equation or Maxwell's equations in boundary value and free space problems are analyzed. Hyperbolic systems in domains going off to infinity are studied. New results on Maxwell's equations and non-star shaped reflecting bodies are included."

"Di dalam Geometri Lobachevsky, ada sedikitnya dua garis yang sejajar dengan suatu garis yang diberikan melalui suatu titik di luar garis yang diberikan tersebut. Namun, di Geometri Euclid, hanya ada tepat satu garis yang sejajar dengan suatu garis yang diberikan melalui suatu titik di luar garis yang diberikan tersebut. Perbedaan sifat kesejajaran tersebut mengakibatkan perbedaan-perbedaan lain antara Geometri Lobachevsky dan Geometri Euclid. Di dalam skripsi ini, dipelajari beberapa karakteristik poligon dan fungsi luas di Geometri Lobachevsky, terutama perbedaannya dengan Geometri Euclid. Struktur geometri yang diperhatikan hanyalah geometri dalam bidang.

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In Lobachevskian Geometry, there are at least two lines parallel to a given line through a given point not on the line. But, in Euclidian Geometry, there’s only a single line parallel to a given line through a given point not on the line. The parallelism characteristics difference implies other differences between Lobachevskian Geometry and Euclidean Geometry. In this thesis, some characteristics of polygons and area function in Lobechevskian Geometry are studied, especially differences compared to Euclidean Geometry. Geometric structure considered is only plane geometry."

"Penelitian ini menitikberatkan kepada perancangan dan realisasi bentukan 3D scaffold menggunakan biomaterial (PLA) dengan variasi ukuran dan geometri tertentu. Variasi parameter tersebut akan menghasilkan scaffold dengan porositas tertentu yang memiliki korelasi terhadap nilai modulus elastisitas (E) yang diuji melalui uji tekan (compressive test). Sistem fabrikasi fuse deposition modelling (FDM) digunakan untuk fabrikasi scaffold dibantu dengan CAD software dalam proses perancangannya. Melalui pengolahan data eksperimen, dihasilkan bahwa persentase porositas berbanding terbalik dengan nilai E yang dihasilkan pada masing-masing ukuran dan geometri scaffold. Dari penelitian yang dilakukan, scaffold yang dihasilkan memiliki porositas berkisar 24%-77% dengan modulus elastisitas berkisar 1,6-4,5 Mpa.

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This research focuses on the design and realization of 3D scaffold using biomaterial (PLA) with certain variations in size and geometry. Variations of these parameters will result in a certain scaffold with a porosity that have a correlation to the value of the modulus of elasticity (E) were tested via compressive test. Fabrication system fuse deposition modeling (FDM) used for scaffold fabrication assisted by CAD software in the design process. Through processing of the experimental data, resulting that the percentage of porosity is inversely proportional to the value of E is generated for each size and geometry of the scaffold. From the research, the resulting scaffold has a porosity ranging from 24% -77% with a modulus of elasticity ranging from 1.6 to 4.5 MPa."

"Geometri hiperbolik H^n, n>=2, merupakan salah satu contoh geometri non-Euclid. Pada artikelnya, Jeffers (2000) memberikan teorema mengenai bijeksi yang mempertahankan geodesik. Teorema tersebut menyatakan bahwa bijeksi yang mempertahankan geodesik di H^n adalah isometri. Pada kajian ini diberikan rincian bukti teorema di bidang hiperbolik H^2 dengan menggunakan model upper half plane.

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Hyperbolic geometry H^n, n>=2, is one of the example of non-Euclid Geometry. In his article, Jeffers (2000) present a theorem regarding bijection that preserves geodesic. The theorem states that bijection which preserves geodesic in H^n is an isometry. In this paper the proof of theorem in hyperbolic plane H^2 will be given with detail using upper half plane model.

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"There has been a growing interest in the use of Fourier analysis to examine questions of accuracy and stability of numerical methods for solving partial differential equations. This kind of analysis can produce particularly attractive and useful results for hyperbolic equations. This book provides useful reference material for those concerned with computational fluid dynamics: for physicists and engineers who work with computers in the analysis of problems in such diverse fields as hydraulics, gas dynamics, plasma physics, numerical weather prediction, and transport processes in engineering, and who need to understand the implications of the approximations they use; and for applied mathematicians concerned with the more theoretical aspects of these computations."

"A monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation and Hamiltonian systems in diverse applications are explored."

"This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributors are first rate mathematicians. This collection of research papers is centred around parametrix constructions and microlocal analysis, asymptotic constructions of solutions, energy and dispersive estimates, and associated spectral transforms. Applications concerning elasticity and general relativity complement the volume. The book gives an overview of a variety of ongoing current research in the field and, therefore, allows researchers as well as students to grasp new aspects and broaden their understanding of the area. ​"