Description
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 computeraided analysis. It concisely, clearly, and easily explains the essential mathematics you use everyday on the job, and also serves as a timesaving reference for students. Whether reviewing basic algebra and geometry or delving into differential operators in curved coordinates, the handbook always gives you howto 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 MathematicsAlgebra. 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 CalculusDifferential Calculus. Integral Calculus. Differentiation and Integration of the Functions with Several Variables. Differential Equations. References.; Complex Variables and FunctionsComplex 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 AlgebraMatrix 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 StatisticsRandom Events and Variables. Random Functions. Stochastic Simulation. Applied Statistics. References.; ComputerAided 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. FreeSpace Propagation Loss. PatternPropagation Factor. Propagation Loss Due to Attenuation in Atmosphere. Scattering Cross Section; Waveforms and Signal Processing  Harmonic Oscillation. AmplitudeModulated Signal. Linear FrequencyModulated Signal. Nonlinear FrequencyModulated Signal. PhaseModulated 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.;
Author

Sergey A. Leonov
Sergey A. Leonov is a principal scientist at Raytheon Canada.mHe is the coauthor of Handbook of Computer Simulation in Radio Engineering,mCommunications and Radar, RadarmTechnology Encyclopedia,mand RussianEnglish Dictionary of Radar and Electronics (Artech House, 2001, 1997, 1993) among other books. He holds an M.Sc. from Kharkov University and a Ph.D. and D.Sc.from the Moscow Aerospace Institute.

Alexander Leonov
Alexander I. Leonov is a professor at the Moscow Institute of Technology. For 25 years he was a senior member of teams that designed and tested stateoftheart radars for Soviet ABM programs. He is also the coauthor of Handbook of Computer Simulation in Radio Engineering, Communications and Radar and Radar Technology Encyclopedia (Artech House, 2001, 1997). Professor Leonov holds an M.Sc. from the Leningrad Military University of Communications and a Ph.D. and D.Sc. from the Moscow Aerospace Institute.