Table of Contents: “...Introduction and Foundations -- On-shell Techniques for Tree-level Amplitudes -- Loop Integrands and Amplitudes -- Loop Integration Techniques and Special Functions -- Solutions to the Exercises. ....”

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Table of Contents: “...Elements of linear algebra -- Complex numbers and functions -- Fourier series -- Special Functions -- Fourier Transform -- Laplace Transform -- Curvilinear coordinates -- Partial differential equations of mathematical physics -- Calculus of variations....”

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Table of Contents: “... -- Complex Functions in Engineering and Science -- Differential Equations -- Special Functions -- Convolution Integral -- Series -- Discrete Convolution Sum -- Fourier Integral -- Discrete Fourier Integral....”

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Table of Contents: “...Preface -- Integral Transforms and Special Functions -- Concepts in Diffusion and Stochastic Processes -- Random Walks -- Elements of Fractional Calculus -- Fractional Anomalous Diffusion -- Adsorption Phenomena and Anomalous Behavior -- Reaction...”

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Table of Contents: “...Homomorphic encryption -- encryption with special functionalities -- security proofs and security models....”

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Table of Contents: “...Preface -- Suspension systems basics -- Spring and damping characteristics of hydropneumatic suspension systems -- Dimensioning of the hydropneumatic suspension hardware -- Hydraulic components design -- Level control -- Special functions...”

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Table of Contents: “...11. Special functions -- 11.1. The factorial, the gamma function, and Stirling's formula -- 11.2. The beta function -- 11.3. The error function -- 11.4. Elliptic integrals -- 11.5. The Dirac delta function -- 11.6. Mathematica and special functions...”

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Table of Contents: “...Part I - Second-order Linear Partial Differential Equations -- Chapter 1 Wave Equation -- Chapter 2 Heat Equation -- Chapter 3 Poisson's Equation -- Chapter 4 Discussion on Second-order Linear Partial Differential Equations -- Part II - Special Functions...”

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