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When you are wracking your brains, trying to solve a complex, seemingly unsolvable problem, sometimes you just have to go back to the basics. To find a solution, you start at the very beginning and review the mathematical rules, laws, and formulas that that are at the root of every electrical engineering problem. This is when you reach for the Mathematical Handbook for Electrical Engineers. Written by electrical engineers, specifically for electrical engineers, this valuable resource presents the most common mathematical techniques used for problem solving and computer-aided analysis. It concisely, clearly, and easily explains the essential mathematics you use everyday on the job, and also serves as a time-saving reference for students. Whether reviewing basic algebra and geometry or delving into differential operators in curved coordinates, the handbook always gives you how-to examples that you can readily apply. These examples are taken from a wide variety of electrical engineering disciplines, including circuits, devices and systems, antennas and propagation, waveforms and signal processing, and stochastic radio engineering. The appendices allow you to quickly reference major mathematical formulas and equations frequently used in electrical engineering, including stochastic simulation algorithms that are typically scattered over numerous books and papers. The next time you need to get back to the basic math of any problem, turn to this handbook - your single source for applied mathematics in electrical engineering.
Table Of Contents
PART 1 FUNDAMENTALS OF ENGINEERING MATHEMATICS; Elementary Mathematics-Algebra. Functions. Equations. Theory of Combinations. Plane Geometry. Solid Geometry. Planar Trigonometry. Solid Trigonometry. Coordinates. Planar Analytic Geometry. Solid Analytic Geometry. References.; Sequences, Series and Limits - Definitions. Finite Sequences and Series. A Limit of Sequence. Infinite Series. Limit of Function. Infinitestimal and Nonterminating Value. Basic Properties of a Limit. Two Important Limits. Continous and Discontinous Functions. Properties of Continous Functions. References.; Differential and Integral Calculus-Differential Calculus. Integral Calculus. Differentiation and Integration of the Functions with Several Variables. Differential Equations. References.; Complex Variables and Functions-Complex Numbers. Function of Complex Variables. References.; Fourier Series - Trigonometric Series. Fourier Series Expansion. Fourier Series for Even and Odd Functions. Linearity of the Fourier Series. Fourier Series for a Discontinuous Function. Integration and Differentiation of Fourier Series. References.; Matrix Algebra-Matrix Algebra for Real Numbers. Matrix Algebra for Complex Numbers. References.; Vector Algebra- Scalars and Vectors. Differentiation and Integration of Vectors. References.; Probability Theory, Random Functions, and Applied Statistics-Random Events and Variables. Random Functions. Stochastic Simulation. Applied Statistics. References.; Computer-Aided Computations - How to use Computer to Solve Algebraic Equations. How to use Computer for Differentiation. How to use Computer for Integration. How to use Computer to Evaluate Partial Derivatives, Double and Triple Integrals. How to use Computer to Solve Differential Equations. How to Use Computer in Matrix Calculus. How to Use Computer in Stochastic Simulation. References.; PART 2. MATHEMATICAL ALGORITHMS TO SOLVE COMMON PROBLEMS IN ELECTRICAL ENGINEERING; Electrical Circuits and Devices - Alternating Current and RCL Components. Complex Impedance. RF Passive Device and Noise Figure. RF Receiver and Noise Figure. Binary Integrator. Interference Rejection Filters. A Sensor on a Moving Platform: Orientation Errors. A Sensor on a Moving Platform: Position Errors.; Antennas and Propagation - Antenna Patterns and Gain. Linear Phased Array. Planar Phased Array. Free-Space Propagation Loss. Pattern-Propagation Factor. Propagation Loss Due to Attenuation in Atmosphere. Scattering Cross Section; Waveforms and Signal Processing - Harmonic Oscillation. Amplitude-Modulated Signal. Linear Frequency-Modulated Signal. Nonlinear Frequency-Modulated Signal. Phase-Modulated Signal. Digital Pulse Compression. Ideal Rectangular Filter. Gaussian Filter. Chebyshev Filter. Butterworth Filter.; Stochastic Radio Engineering - Probability of Events. Bayes Rule. Multiple Hypotheses. Poison Distribution and Random Flow. Bernouli Distribution and Independent Tests. Exponential Distribution and Reliability.;