New Insights into Physical Science Vol. 3
Synopsis
This book covers all areas of physical science. The contributions by the authors include Pythagorean triples, Fermat’s last theorem, space-time, energy effect, Planck’s action quantum h, adapted space-time, quantization of space and time, Faulhaber conjecture, powers sums, arithmetic progression, Bernoulli polynomials, Jacobi formula, Donor-doped silicon, electrical conductivity, thermal noise, Einstein’s relation, diffusion coefficient, drift and hall mobility of electrons, donor-doped silicon, Randomly Moving (RM) charge carrier density, electrical conductivity, two-band model, hall coefficient, hall mobility, drift mobility, Density-of-States (DOS), sums of powers on arithmetic progression, Bernoulli numbers, Bernoulli polynomials, Fourier transform, fractional order Fourier transform, differential transform, kernels of integral transforms, transforms of geometric forms, Finsler geometry, DISIMb(2) relativistic symmetry, Finslerian extension of GR, operational calculus, differential equations, special functions, Laplace transform, eigenfunctions, Newton binomial etc. This book contains various materials suitable for students, researchers and academicians in the field of physical science.
Chapters
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Chapter 1Pythagorean Triples and Fermat’s Last Theorem Proven in One Page
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Chapter 2One Step towards Unification of Quantum Physics with the General Theory of Relativity by a Physically Founded Quantisation of Space and Time
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Chapter 3The Faulhaber Conjecture Resolved Generalization to Powers Sums on Arithmetic Progressions
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Chapter 4An Overview of Transport of Electrons in Donor-Doped Silicon at Any Degree of Degeneracy of Electron Gas
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Chapter 5A General Review of Drift Mobility, Diffusion Coefficient of Randomly Moving Charge Carriers in Metals and Other Materials with Degenerate Electron Gas
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Chapter 6Description of the Transport Characteristics of Charge Carriers in Normal State Superconductor YBa2Cu3O7-δ1
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Chapter 7Obtaining Easily Powers Sums on Arithmetic Progressions and Properties of Bernoulli Polynomials by Operator Calculus
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Chapter 8Obtaining Differential Transforms: Applications to the Case of the Fourier Transform
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Chapter 9DISIMb(2) Local Relativistic Symmetry and Finslerian Extension of the Theory of Relativity
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Chapter 10Differential Equations, Special Functions, Laplace Transform by Differential Calculus