“…This monograph explores different aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis.…”
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“…This book is suitable for a first year, non-calculus physics course. It covers mechanics, fluids, gravitation, thermal physics, electricity and magnetism, and modern physics, including atoms, an introduction to quantum mechanics, special relativity, and nuclear and particle physics. …”
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“…Prior familiarity with basic thermodynamics and vector calculus is assumed.…”
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“…Readers will learn about Newton's greatest accomplishments, such as the discoveries of gravity and the color spectrum and the development of calculus.…”
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“…After reviewing their abstract definitions and properties, the focus is put on their relevance in Weyl calculus, in representation theory and their appearance as higher symmetries of physical systems.…”
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“…It assumes the reader has been exposed to a course in calculus and a calculus-based general physics course. …”
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“…This book assumes familiarity with vector calculus and introductory physics (mechanics, electromagnetism, gas physics and atomic physics); however, all of the physics topics are reviewed as they come up (and vital aspects of vector calculus are reviewed in the Appendix). …”
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“…The second edition of the book includes major revisions on the proof of the completeness theorem of the Gentzen system and new contents on the logic of scientific discovery, R-calculus without cut, and the operational semantics of program debugging. …”
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“…Intended for upper level undergraduates and beginning graduates, the only prerequisites are a basic knowledge of calculus, multivariable calculus, and some linear algebra. …”
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“…In the first decade of the twentieth century as Albert Einstein began formulating a revolutionary theory of gravity, the Italian mathematician Gregorio Ricci was entering the later stages of what appeared to be a productive if not particularly memorable career, devoted largely to what his colleagues regarded as the dogged development of a mathematical language he called the absolute differential calculus. In 1912, the work of these two dedicated scientists would intersect--and physics and mathematics would never be the same. …”
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“…The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. …”
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“…We compare our analytic results obtained by using Feynman diagrams to the expressions derived in the literature by a combination of the universal one-loop effective action (UOLEA) approach and Feynman calculus. After identifying contributions that have been overlooked in the existing calculations, we find that the pure diagrammatic approach and the mixed method lead to identical results. …”
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“…The families represent extensions of frequently used PK link and PD direct and indirect action models, using the tools of fractional calculus. In addition the PD models can be a function of a variable, the active drug, which can smoothly transition from concentration to exposure, to hyper-exposure, according to a fractional integral transformation. …”
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“…For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. …”
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“…The Malliavin calculus is an extension of the classical calculus of variations from deterministic functions to stochastic processes. …”
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“…RESULTS: Patients fasting in Ramadan are 2 times more likely to present with a calculus of ureter as opposed to calculus in another location in the urinary tract, particularly when the holy month of Ramadan falls in the summer season. …”
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“…In this study, we present a case of a left renal calculus surrounding a 9 mm gun shell in a patient with a solitary functioning left kidney. …”
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“…RESULTS: In a first case, transvaginal ultrasonography in a woman with lower abdominal pain showed a calculus in the left distal ureter. The small echogenic lesion was easily detectable within the ureter lumen. …”
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