In "The Symbolism of Churches and Church Ornaments," Guillaume Durand meticulously explores the intricate meanings embedded in ecclesiastical architecture and artifacts. His work delves into medieval European spiritual and cultural contexts, revealing how architectural elements such as spires, bell towers, and stained glass serve as conduits for divine symbolism. Durand employs a rich scholarly style, integrating historical analysis with theological insights, presenting a compelling narrat...

In "The Symbolism of Churches and Church Ornaments," Guillaume Durand presents a compelling exploration of the intricate relationship between architectural elements and their spiritual significance within the Christian faith. This scholarly work illuminates the rich tapestry of medieval church designs, employing a blend of theological insights and historical context to analyze how structures and decorations reflect doctrinal beliefs. Durand's literary style is characterized by meticulous d...

The Symbolism of Churches and Church Ornaments is a luminous medieval guide to the sacred meanings embedded in ecclesiastical architecture, vestments, vessels, and ritual furnishings. Written in the allegorical mode characteristic of scholastic theology, it reads the church building as a visible theology: walls, windows, altars, bells, colors, and priestly garments become signs within a coherent sacramental cosmos. Its style is systematic yet devotional, joining biblical exegesis, patristi...

This book presents a new approach to the analysis of networks, which emphasizes how one can compress a network while preserving all information relative to the network's spectrum. Besides these compression techniques, the authors introduce a number of other isospectral transformations and demonstrate how, together, these methods can be applied to gain new results in a number of areas. This includes the stability of time-delayed and non time-delayed dynamical networks, eigenvalue estimation...

Your INTEGRAL tool for mastering ADVANCED CALCULUSInterested in going further in calculus but don't where to begin? No problem! With Advanced Calculus Demystified, there's no limit to how much you will learn.Beginning with an overview of functions of multiple variables and their graphs, this book covers the fundamentals, without spending too much time on rigorous proofs. Then you will move through more complex topics including partial derivatives, ...

A rigorous and comprehensive introduction to numerical analysisNumerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from phys...

A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the re...

The ideal review for the thousands of electrical engineering college students who enroll in probability, variables, and processes coursesSchaum's Outline of Probability, Random Variables, and Random Processes mirrors the courses in scope and sequence to help enrolled students understand basic concepts and offer extra practice on topics such as bivariate random variables, joint distribution functions, moment generating functions, Poisson processes, Wiener p...

This book offers an in-depth presentation of the finite element method, aimed at engineers, students and researchers in applied sciences.The description of the method is presented in such a way as to be usable in any domain of application. The level of mathematical expertise required is limited to differential and matrix calculus.The various stages necessary for the implementation of the method are clearly identified, with a chapter given over to each one: approximation, cons...

This comprehensive and engaging textbook introduces the basic principles and techniques of signal processing, from the fundamental ideas of signals and systems theory to real-world applications. Students are introduced to the powerful foundations of modern signal processing, including the basic geometry of Hilbert space, the mathematics of Fourier transforms, and essentials of sampling, interpolation, approximation and compression The authors discuss real-world issues and hurdles to using ...

This textbook, apart from introducing the basic aspects of applied mathematics, focuses on recent topics such as information data manipulation, information coding, data approximation, data dimensionality reduction, data compression, time-frequency and time scale bases, image manipulation, and image noise removal. The methods treated in more detail include spectral representation and “frequency” of the data, providing valuable information for, e.g. data compression and noise removal. Furthe...

This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state. Finite difference methods are introduced and analyzed in the first four chapters, and finite element methods are studied in chapter five. A very general-purpose and widely-used finite element program, PDE2D, which implements many of the methods studied in the earlier chapters, is presented and documented in Appendix A.The book contains the relevan...