“…Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. …”
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“…It covers a wide variety of research topics, from differential geometry to algebra, but particularly focuses on the geometric formulation of variational calculus; geometric mechanics and field theories; symmetries and conservation laws of differential equations, and pseudo-Riemannian geometry of homogeneous spaces. …”
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“…The focus is on applications of mathematics in physics, electromagnetics, biochemistry and botany, and covers such topics as multimodal logic, fractional calculus, special functions, Fourier-like solutions for PDE’s, Rvachev-functions and linear dynamical systems. …”
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“…They mainly consider the case where the spatial covariance is given by a Riesz kernel with exponent \beta. Using Malliavin calculus, they establish upper and lower bounds on the probabilities that the random field visits a deterministic subset of \mathbb{R}^d, in terms, respectively, of Hausdorff measure and Newtonian capacity of this set. …”
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“…Among topics featured in the book are the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. The book contains many examples illustrating the general theory presented, as well as multiple exercises that help the reader to learn the subject. …”
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“…The book is suitable as a text for graduate study in asymptotic methods in calculus and singularly perturbed equations.…”
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“…Because it uses as little knowledge of functional analysis as possible, the book is accessible to those with a background in multivariable calculus, elementary Lebesgue integral theory, and basic parts of the theory of integral equations. …”
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“…Coverage includes built-in Maple commands used in courses and practices that involve calculus, linear algebra, business mathematics, ordinary and partial differential equations, numerical methods, graphics and more. …”
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“…The integral equation for the partial- wave amplitude is carefully investigated and used to exhibit the origin of the various reggeon cuts, which turn out to satisfy discontinuity formulae consistent with Gribov's reggeon calculus. It is suggested that there is a four-particle Regge pole to the right of all the cuts. (12 refs).…”
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“…He constructs a simple Reggeon calculus model in which all important cuts near t=0 can be calculated, and suggest a simple way of parametrizing the data in that region. (11 refs).…”
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“…The peripheral giant cell granuloma (PGCG) is a rare reactive exophytic lesion taking place on the gingiva and alveolar ridge usually as a result of local irritating factors such as trauma, tooth extraction, badly finished fillings, unstable dental prosthesis, plaque, calculus, chronic infections, and impacted food. This article presents 3 cases of PGCG that presented at the same location of the edentulous mandible of patients that using complete denture for over ten years.…”
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“…The aim of this study was to investigate the characteristic polynomials resulting from the molecular graphs used as molecular descriptors in the characterization of the properties of chemical compounds. A formal calculus method is proposed in order to identify the value of the characteristic polynomial parameters for which the extremum values of the squared correlation coefficient are obtained in univariate regression models. …”
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“…Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. …”
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“…Get Ready for Physics helps science students quickly prepare for their introductory physics course, either algebra-based or calculus-based. It provides useful tools for future success in the course. …”
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“…In addition, an analogue of the Boutet de Monvel calculus is developed and the index is computed. For postgraduate and research mathematicians, physicists and engineers whose work involves the solution of partial differential equations.…”
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“…It is accessible to researchers and graduate students working in stochastic calculus and excursion theory, and more broadly to mathematicians acquainted with the basics of Brownian motion.…”
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“…A classical problem in the calculus of variations is the investigation of critical points of functionals {\cal L} on normed spaces V. …”
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“…The reader is expected to know basic functional analysis and calculus of variations, including the Bahn-Banach theorem, Banach-Alaoglu theorem, Ekeland's variational principle.…”
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“…The theory of rough paths aims to create the appropriate mathematical framework for expressing the relationships between evolving systems, by extending classical calculus to the natural models for noisy evolving systems, which are often far from differentiable.…”
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“…The regular chapters cover a wide range of themes, such as stochastic calculus and stochastic differential equations, stochastic differential geometry, filtrations, analysis of Wiener space, random matrices and free probability, as well as mathematical finance. …”
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