“…Therefore, there is a need for a computational tool for computing special functions in the sense of fractional calculus. This tool provides a straightforward technique for some fractional-order special functions while modeling these scientific phenomena in science, medicine, and engineering.…”
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“…The objective is to gain insight into the qualitative dynamics of the model determining the conditions for the persistence or effective control of the disease in the community through the study of basic properties such as positiveness and boundedness; the calculus of the basic reproduction number; stationary points such as disease-free equilibrium (DFE), boundary equilibrium (BE) and endemic equilibrium (EE); and the local stability (LAS) of disease-free equilibrium. …”
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“…We report a 72-year-old male without co-morbidities with suspected urosepsis and an obstructing ureteric calculus. Despite adequate diversion and broad-spectrum antimicrobials, the leukocytosis persisted. …”
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“…The second volume covers electrodynamics, quantum mechanics, relativity, and fractals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. …”
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“…The mathematical subjects range from algebra, trigonometry, geometry, and calculus to differential equations, Fourier series, and theoretical and Monte Carlo probability. …”
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“…The second volume covers electrodynamics, quantum mechanics, relativity, and fractals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. …”
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“…The book's ten chapters cover: *The origins and current uses of wireless transmission *A review of AC analysis, Kirchhoff's laws, RLC elements, skin effect, and introduction to the use of computer simulation software*Resonators, Q definitions, and Q-based impedance matching *Transmission lines, waves, VSWR, reflection phenomena, Fano's reflection bandwidth limits, telegrapher, and impedance transformation equations*Development and in-depth use of the Smith Chart *Matrix algebra with Z, Y, ABCD, S, and T matrix applications*An unusually thorough introduction to electromagnetic field theory, step-by-step development of vector calculus, Maxwell's equations, waveguides, propagation, and antennas*Backward wave, branch line, rat race and Wilkinson couplers, impedance measurements, and detailed even and odd mode analysis*Filter designs for Butterworth, Chebyshev, Bessel and elliptic responses, Kuroda's identities, Richards's transformation, and computer optimized designs*Transistor amplifier design using Unilateral Gain, Simultaneous Match, Available Gain and Operating Gain approaches, insuring stability, cascading stages, broadbanding, noise theory, and intermodulation effectsUsing informal language, High Frequency Techniques takes the reader step-by- step through RF and microwave theory and design, providing a lasting practical reference for the practicing wireless engineer.@.…”
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“…These fractional-order signal processing (FOSP) techniques are based on fractional calculus, the fractional Fourier transform and fractional lower-order moments. …”
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“…He had a photographic memory and did advanced calculus and physics equations in his head.Of course, like many other eccentric geniuses, Tesla was completely insane.  …”
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“…Komatsu: Operational calculus and semi-groups of operators.…”
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“…Containing solutions of difficult problems in optimal control and presenting new approaches, techniques and methods this book is of interest for mathematicians working in optimal control and the calculus of variations. It also can be useful in preparation courses for graduate students.…”
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“…The prerequisite for the sequence is vector calculus and electromagnetic fields and waves. Some familiarity with Green's functions and integral equations is desirable but not necessary. …”
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“…Geometric algebra provides a rich, general mathematical framework for the develop­ ment of multilinear algebra, projective and affine geometry, calculus on a manifold, the representation of Lie groups and Lie algebras, the use of the horosphere and many other areas. …”
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“…In summary, this book: Emphasizes and articulates the variational calculus approach to both formulating and solving mechanics problems Briefly introduces finite element method in the context of variational approaches to modeling and solving mechanics and structures problems Accessible to engineering students while maintaining mathematical correctness Presents extensive worked-out examples in the text and homework problems Includes instructors’ solutions manual and over 200 illustrations.…”
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“…Solving normal equations and using calculus (outside of maximum likelihood theory) are anathema to me. …”
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“…Topics discussed include variational calculus, Pontryagin's maximum principle, and geometric methods employing functional analysis. …”
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“…Topics include: a natural construction of the real numbers, four-dimensional visualization, basic point-set topology, function spaces, multivariable calculus via differential forms (leading to a simple proof of the Brouwer Fixed Point Theorem), and a pictorial treatment of Lebesgue theory. …”
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“…Readers are presumed to have some background in beginning differential and integral calculus. Whether you simply have a personal interest in physics' influence in the world or you're an engineering and science student who wants to gain more physics know-how, this book has an intriguing scenario for you.…”
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“…It is assumed that the readers are mathematically equipped with a reasonable knowledge in analysis, including basics of ordinary and partial differential equations and a good command of vector calculus and linear algebra. Each chapter concludes with bibliographical notes in which the authors briefly discuss the chapter's essential literature and give recommendations for further, deeper reading. …”
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