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Abstrak :
Since the advent of computerized tomography in radiology, many imaging techniques have been introduced in medicine, science, and technology. This book describes the state of the art of the mathematical theory and numerical analysis of imaging. The authors survey and provide a unified view of imaging techniques, provide the necessary mathematical background and common framework, and give a detailed analysis of the numerical algorithms. This book not only reflects the theoretical progress and the growth of the field in the last 10 years but also serves as an excellent reference. It will provide readers with a superior understanding of the mathematical principles behind imaging and will enable them to write state-of-the-art software as a result.

Abstrak :
Introduces a rigorous investigation of q-difference operators in standard and fractional settings. This monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi.

Abstrak :
This book presents the various types of coherent states introduced and studied in the physics and mathematics literature and describes their properties together with application to quantum physics problems. It is intended to serve as a compendium on coherent states and their applications for physicists and mathematicians, stretching from the basic mathematical structures of generalized coherent states in the sense of Perelomov via the semiclassical evolution of coherent states to various specific examples of coherent states (hydrogen atom, quantum oscillator, ...).

Abstrak :
During the last 20-25 years, classical mechanics has undergone an important revival associated with the progress in non-linear dynamics, applications of Noether’s theorem and the extension of variational principles in various interdisciplinary sciences (for instance, magnetofluid dynamics). Thus, there ought to exist a book concerned with the applied analytical formalism, first developed in the frame of theoretical mechanics, which has proved to be one of the most efficient tools of investigation in the entire arena of science. The present book is an outcome of the authors’ teaching experience over many years in different countries and for different students studying diverse fields of physics. The original presentation and the distribution of the topics, the various applications in many branches of physics and the set of more than 100 proposed problems.

Abstrak :
The emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Volume 2 builds on the fundamentals presented in Volume 1, delving deeper into relationships among stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statistical analysis, and error propagation on Lie groups. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.

Abstrak :
The book describes Maxwell's equations first in their integral, directly testable form, then moves on to their local formulation. The first two chapters cover all essential properties of Maxwell's equations, including their symmetries and their covariance in a modern notation. Chapter 3 is devoted to Maxwell theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell theory. It includes topical subjects such as metamaterials with negative refraction index and solutions of Helmholtz' equation in paraxial approximation relevant for the description of laser beams. Chapter 5 describes non-Abelian gauge theories from a classical, geometric point of view, in analogy to Maxwell theory as a prototype, and culminates in an application to the U(2) theory relevant for electroweak interactions. The last chapter 6 gives a concise summary of semi-Riemannian geometry as the framework for the classical field theory of gravitation. The chapter concludes with a discussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity (perihelion precession of Mercury, and light deflection by the sun).

Abstrak :
ABSTRAK
Tesis ini menganalisis tentang mitigasi risiko nilai tukar menggunakan emas dan PUAS untuk dana Biaya Penyelenggaraan Ibadah Haji BPIH di Indonesia. Penelitian ini menggunakan data sekunder berupa jumlah setoran dana awal BPIH oleh calon jemaah Haji, kurs Rupiah terhadap dolar AS Nilai Tengah Rupiah , rate PUAS, dan harga emas dunia per ons dengan teknik simulasi kuantitatif dengan metode simulasi matematik. Periode dibagi menjadi 2 dua , disaat keadaan ekonomi sedang krisis Januari 2004 sampai dengan Agustus 2011 dan keadaan ekonomi sedang stabil September 2011 sampai dengan Desember 2017 . Hasil penelitian menunjukkan bahwa terdapat perbedaan jumlah bulan yang mengalami excess dan deficit antara lindung nilai dengan emas dan PUAS baik untuk semua tenor maupun semua periode. Untuk periode pertama di saat krisis, baik lindung nilai dengan emas maupun PUAS, semakin panjang tenor maka semakin besar jumlah bulan yang mengalami excess. Dari sisi nilai manfaat, terdapat perbedaan pula antara lindung nilai dengan emas dan PUAS untuk semua tenor dan semua periode. Pada periode pertama, emas memiliki rata-rata nilai manfaat monthly rate lebih tinggi dibandingkan dengan PUAS, sedangkan pada periode kedua, rata-rata nilai manfaat PUAS lebih tinggi. Banyaknya jumlah bulan yang mengalami excess dan deficit tidak berpengaruh pada nilai manfaat yang dihasilkan pada masing-masing lindung nilai emas dan PUAS . Berdasarkan hasil simulasi dari penelitian ini, emas merupakan aset lindung nilai terhadap pergerakan USD/IDR pada keadaan sedang krisis. Waktu yang tepat untuk melakukan lindung nilai dengan penempatan pada emas adalah pada keadaan ekonomi sedang krisis dan tenor yang digunakan merupakan tenor panjang yaitu 12 bulan yang memiliki rata-rata nilai manfaat cukup tinggi namun risiko volatilitas nilai manfaat lebih rendah dibandingkan dengan tenor lainnya dan probabilitas bulan yang mengalami excess lebih besar.

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ABSTRACT
This thesis analyzes the mitigation of exchange rate risk using gold and PUAS for Hajj fund in Indonesia. This study uses secondary data such as amount of initial fund deposit of BPIH by Hajj pilgrims, Rupiah exchange rate against US dollar Nilai Tengah Rupiah , PUAS rate, and world gold price per ounce by quantitative simulation technique with mathematical simulation method. Period is divided into 2 two , while the economic situation is in crisis January 2004 until August 2011 and the economic condition is stable September 2011 until December 2017 . The results show that there are differences in the number of months experiencing excess and deficit between hedging with gold and PUAS for all tenors and all periods. For the first period in times of crisis, whether hedging with gold or PUAS, the longer the tenor, the greater the number of months experiencing excess. In terms of yield, there are also differences between hedging with gold and PUAS for all tenors and all periods. First period, gold had an average monthly rate higher than PUAS, while in the second period, the average monthly rate of PUAS was higher. The number of months experiencing excess and deficit does not affect the monthly rate yield generated on each hedge gold and PUAS . Based on the simulation result from this research, gold is a hedging asset against the movement of USD IDR in a state of crisis. The right time to hedge with placement in gold is in the state of the crisis economy and the tenor used is long tenor of 12 months, which has the high average yield but the risk volatility of yield is lower than the other tenors and the probability of months experiencing greater excess.