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"This book treats an important set of techniques that provide a mathematically rigorous and complete error analysis for computational results. It shows that interval analysis provides a powerful set of tools with direct applicability to important problems in scientific computing."

"This unique book provides an introduction to a subject whose use has steadily increased over the past 40 years. An update of Ramon Moore previous books on the topic, it provides broad coverage of the subject as well as the historical perspective of one of the originators of modern interval analysis. The authors provide a hands-on introduction to INTLAB, a high-quality, comprehensive MATLAB toolbox for interval computations, making this the first interval analysis book that does with INTLAB what general numerical analysis texts do with MATLAB. Readers will find the following features of interest: elementary motivating examples and notes that help maximize the reader chance of success in applying the techniques; exercises and hands-on MATLAB-based examples woven into the text; INTLAB-based examples and explanations integrated into the text, along with a comprehensive set of exercises and solutions, and an appendix with INTLAB commands; an extensive bibliography and appendices that will continue to be valuable resources once the reader is familiar with the subject; and a Web page with links to computational tools and other resources of interest."

"Perubahan sosial dan ekonomi di Indonesia menunjukkan adanya transformasi dalam fertility behavior termasuk kecepatan melahirkan pertama. Penelitian ini bertujuan untuk mengetahui peran lingkungan dimana perempuan tumbuh dan besar growing up pada interval kelahiran pertama dalam tiga kelompok kohor. Kategori kelompok kelahiran perempuan adalah kelompok kohor 1961-1970, kelompok kohor 1971-1980, dan kelompok kohor 1981-2005. Penelitian ini menggunakan Survei Populasi Antar Sensus 2015 SUPAS 2015 melalui pendekatan analisis survival dengan model Cox proportional hazard regression.Hasil penelitian ini menunjukkan bahwa perempuan dalam kelompok yang lebih muda memiliki kelahiran pertama lebih cepat daripada kohor yang lebih tua setelah waktu perkawinan, terutama untuk kohor 1981-2005 sebagai kohor paling muda. Melalui umur kawin pertama sebagai intermediate variable, variabel sosial ekonomi dalam fertility behavior secara signifikan terkait dengan kecepatan kelahiran pertama pada tiga kelompok kohor. Dengan demikian, lingkungan dimana perempuan tumbuh dan besar growing up memainkan peran penting pada kecepatan kelahiran pertama melalui usia umur kawin pertama.

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Social and economic changes in Indonesia show that there is a transformation in fertility behavior including the pace of having first birth. This study aims to know the role of environment wherein women growing up during their first birth interval for three cohort groups. The categories of women rsquo s birth cohort are 1961 1970 cohort group, 1971 1980 cohort group, and 1981 2005 cohort group. This study uses the 2015 Intercensal Population Survey SUPAS 2015 and the survival analysis approach with Cox proportional hazard regression model.The results show that women in the younger cohorts have first birth earlier than the older cohorts after marriage, especially for the recent cohort. Through age at first marriage as the intermediate variable, socioeconomic variables in fertility behavior are significantly associated with the pace of having first birth in three cohort groups. Thus, the environment wherein women growing up plays a major role at the pace of having first birth through age at first marriage."

"Jika diberikan dua graf G1 dan G2, maka bilangan Ramsey R=R(G1,G2) adalah bilangan bulat positif terkecil R sedemikian sehingga untuk setiap graf G dengan R simpul akan memenuhi kondisi berikut ini: G memuat graf G1 sebagai subgraf atau komplemen dari G memuat G2 sebagai subgraf. Pada skripsi ini akan dikaji tentang bilangan Ramsey ( , ? ) n m R P K untuk n dan m tertentu, dimana Pn adalah graf lintasan dengan n simpul dan ? m K adalah graf kipas yang dibentuk dari gabungan K1 dan Pm ditambah rimnya, yaitu busur-busur yang menghubungkan K1 dengan setiap simpul pada Pm."

"Fractal-based methods are at the heart of modeling the behavior of phenomena at varying scales. This volume collates techniques for using IFS fractals, including the very latest cutting-edge methods, from more than 20 years of research in this area. The second chapter on basic iterated function systems theory is designed to be used as the basis for a course and includes many exercises. This chapter, along with the three background appendices on topological and metric spaces, measure theory, and basic results from set-valued analysis, make the book suitable for self-study or as a source book for a graduate course. The other chapters illustrate many extensions and applications of fractal-based methods to different areas. "

"The purpose of this book is to present some basic results in analysis that canbe used to solve various problems, so it may serve as a kind of toolbox. We donot intend to give a complete panorama of the field. In particular, we concentrateon real analysis and leave complex analysis aside; however we consider complexfunctions now and then. Although we cannot claim that this volume is devoted toapplied analysis, our choice of topics is driven by our wish to present results thatcan be applied to concrete problems. It is in this sense that this book could be called“Motivated Analysis”. This expression is due to J.-P. Aubin and means that we shallgather some results of analysis that may be useful in applications, even if the natureof these applications is not the focus of the text. Thus, our route is not the choice ofsome important problems that occur in applications, as in [22, 62, 87, 88, 101, 129,130, 140, 178, 191, 236, 241, 245], but neither is it the panorama of deep advancesin mathematical concepts presented in [100] and [101]."

""The objective of this book is for readers to learn where approximation methods come from, why they work, why they sometimes don?t work, and when to use which of the many techniques that are available, and to do all this in an environment that emphasizes readability and usefulness to the numerical methods novice. Each chapter and each section begins with the basic, elementary material and gradually builds up to more advanced topics. The text begins with a review of the important calculus results, and why and where these ideas play an important role throughout the book. Some of the concepts required for the study of computational mathematics are introduced, and simple approximations using Taylor?s Theorem are treated in some depth. The exposition is intended to be lively and "student friendly". Exercises run the gamut from simple hand computations that might be characterized are "starter exercises", to challenging derivations and minor proofs, to programming exercises. Eleven new exercises have been added throughout including: Basins of Attraction; Roots of Polynomials I; Radial Basis Function Interpolation; Tension Splines; An Introduction to Galerkin/Finite Element Ideas for BVPs; Broyden?s Method; Roots of Polynomials, II; Spectral/collocation methods for PDEs; Algebraic Multigrid Method; Trigonometric interpolation/Fourier analysis; and Monte Carlo methods. Various sections have been revised to reflect recent trends and updates in the field"-- Provided by publisher."

"The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make the book accessible to a wide audience."