Overview

MASTER SYSTEMS-LEVEL C AND DRIVE MISSION-CRITICAL PERFORMANCE Cut through the noise and drill straight into the algorithms that keep aircraft aloft, satellites aligned, trading platforms blazing, and factory lines synchronized. Written for engineers who already speak the C language, this reference catapults you from competent programmer to numerical power-house, revealing exactly how to wring every last cycle, byte, and ULP from modern hardware-without sacrificing deterministic behavior. What's inside? - Fixed-width integer math, modular arithmetic, and overflow-safe design for embedded reliability - IEEE-754 deep dives-rounding modes, denormals, Kahan summation, reproducible reductions - High-performance data structures: cache-blocked matrices, CSR/COO sparsity, lock-free ring buffers - Linear algebra heavyweights-LU, Cholesky, QR, SVD, Krylov solvers, preconditioners - Signal-processing arsenal: FFT, FIR/IIR design, polyphase filterbanks, wavelet transforms - ODE/PDE engines: Runge-Kutta, symplectic integrators, finite difference/volume/element methods - Non-linear optimization: Newton, CG, simplex, interior-point, simulated annealing - Parallel firepower: OpenMP tasking, AVX intrinsics, cache blocking, NUMA strategies, barrier patterns - Precision-control toolset: interval arithmetic, automatic differentiation, big-integer libraries - Real-time deterministic loops for safety-critical and hard-deadline systems Each chapter is laser-focused, complete with rigorously tested code snippets, mathematical derivations, and complexity breakdowns-ready to drop into aerospace simulations, medical devices, high-frequency trading engines, or any system where failure is not an option. Whether you're compiling for a bare-metal microcontroller or a 64-core workstation, this book equips you with the scientific foundations and battle-tested patterns to deliver predictable, high-throughput, and numerically stable software-entirely in standard C.

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