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Жаль, никто в детстве не показал мне эту книгу:

алгебраическая топология с элементарной точки зрения
/It is shown how in the course of solution of interesting geometric problems (close to applications)
naturally appear main notions of algebraic topology (homology groups, obstructions and invariants, characteristic classes)/

Прекрасная страничка с манами (PDF) и ссылками по оптимизации кода для микропроцессоров x86 и x86-64


В частности:

1. Optimizing software in C++: An optimization guide for Windows, Linux and Mac platforms

2. Optimizing subroutines in assembly language: An optimization guide for x86 platforms

3. The microarchitecture of Intel, AMD and VIA CPUs: An optimization guide for assembly programmers and compiler makers

4. Instruction tables: Lists of instruction latencies, throughputs and micro-operation breakdowns for Intel, AMD and VIA CPUs

5. Calling conventions for different C++ compilers and operating systems

Хороший coursebook по функциональному анализу и лин алгебре с приложениями.

(a) field-independent linear algebra (vector spaces, bases, dimensions, matrix algebra,
linear transformations, linear equations, determinants, characteristic polynomials)
emphasizing the coordinate-free approach with applications in linear systems and
coding theory;
(b) quadratic optimization (positive definiteness, GramSchmidt orthogonalization, sca-
lar products, projection theorem) with applications in signal processing and optimal
(c) convexity (convex functions and convex sets, convex optimization, cutting plane
methods, Caratheodory theorem, Minkovsky functionals, Krein-Milman Theorem,
Hahn-Banach theorem, minimax theorem) with applications in optimization;
(d) approximation and topology (norms, approximation, functional spaces, Fourier and
Laplace transforms, compactness, fixed point theorems, differentiation, implicit
mapping theorems, first and second order conditions of optimality) with applica-
tions in robustness analysis and optimization.