Introduction to Hilbert spaces with applications by Debnath, Lokenath

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Cardinal spline interpolation by Schoenberg, I. J.

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The art of modeling dynamic systems : forecasting for chaos, randomness, and determinism by Morrison, Foster

Table of Contents: “…Introductory section -- Introduction to dynamics -- A brief history of dynamics and computing -- A thumbnail sketch of applied mathematics -- Foundations and abstract entities -- Classical analysis -- Numerical analysis and approximation theory -- Statistical methods -- Classical modeling techniques -- Classical models and dynamical concepts -- Dynamics without calculus -- Basic models -- Cycles -- Analysis of mathematical models -- The hierarchy of dynamic systems -- A classification scheme for dynamic systems -- Static systems -- type zero -- Solvable systems -- type I -- Perturbation theory -- type II -- Chaotic systems -- type III -- Stochastic systems -- type IV -- The art of model making -- Qualitative analysis -- Quantitative analysis -- Model validation.…”


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Numerical analysis : a mathematical introduction by Schatzman, M.

Table of Contents: “…Iterative Techniques in Matrix Algebra -- 8. Approximation Theory -- 9. Approximating Eigenvalues -- 10. …”


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Tensors : asymptotic geometry and developments, 2016-2018 by Landsberg, J. M.

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Concise numerical mathematics by Plato, Robert, 1962-

Table of Contents: “…Peano's Error Representation -- Ch. 15. Approximation Theory -- Ch. 16. Computer Arithmetic.…”


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Numerical solution of elliptic and parabolic partial differential equations by Trangenstein, J. A. (John Arthur), 1949-

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Composite repair : theory and design by Duong, Cong N.

Table of Contents: “…Introduction -- Theory of bonded doublers and bonded joints -- Fundamental concept of crack patching -- Mathematical theory of supported one-sided crack patching or two-sided crack patching -- Approximate theory of unsupported one-sided crack patching -- Analytical approach to repairs of corrosion grind-outs -- Bond-line analysis at patch ends -- Fatigue crack growth analysis of repaired structures -- A preliminary design approach for crack patching -- A preliminary design approach for corrosion repairs -- Experimental verifications of analytical methods -- Repair of sonic fatigue -- Repair analysis methods accounting for secondary effects -- Concluding remarks -- Introduction to CRAS software.…”


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Mathematical constants by Finch, Steven R., 1959-

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Introduction to statistical limit theory by Polansky, Alan M.

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Quasiclassical methods

Table of Contents: “…H-pseudodifferential operators and applications: An introduction / Bernard Helffer -- Semi-classical methods with emphasis on coherent states / T. Paul -- Approximative theories for large Coulomb systems / Volker Bach -- Semiclassical analysis for the Schrodinger operator with magnetic wells (after R. …”


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Theory of functions of a complex variable by Markushevich, A. I. (Alekseĭ Ivanovich), 1908-1979

Table of Contents: “…Conformal mapping. Approximation theory -- 1. Conformal mapping: rudiments -- 2. …”


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Mathematical events of the twentieth century

Table of Contents: “…Shiryaev -- How mathematicians and physicists found each other in the theory of dynamical system and in statistical mechanics / Ya.G. Sinai -- Approximation theory in the twentieth century / V.M. Tikhomirov -- The life and fate of functional analysis in the twentieth century / A.M. …”


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Mathematical constants by Finch, Steven R., 1959-

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Ergodic theory by Kornfelʹd, I. P. (Isaak Pavlovich), Fomin, S. V. (Sergeĭ Vasilʹevich), Sinaĭ, I︠A︡. G. (I︠A︡kov Grigorʹevich), 1935-

Table of Contents: “…Examples of dynamic systems -- Basic definitions of ergodic theory -- Smooth dynamical systems on smooth manifolds -- Smooth dynamical systems on the torus -- Dynamical systems of algebraic origin -- Interval exchange transformations -- Billiards -- Dynamical systems in number theory -- Dynamical systems in probability theory -- Examples of infinite dimensional dynamical systems -- Part II: Basic constructions of ergodic theory -- Simplest general constructions and elements of entropy theory of dynamical systems -- Special representations of flows -- Part III: Spectral theory of dynamical systems -- Dynamical systems with pure point specturm -- Examples of spectral analysis of dynamical systems -- Spectral analysis of Gauss dynamical systems -- Part IV: Approximation theory of dynamical systems by periodic dynamical systems and some of its applications -- Approximations of dynamical systems -- Special representations and approximations of smooth dynamical systems on the two-dimensional torus -- Appendix I: Lebesgue spaces and measurable partitions -- Appendix 2: Relevant facts from the spectral theory of unitary operators -- Appendix 3: Proof of the Birkhoff-Khinchin theorem -- Appendix 4: Kronecker sets.…”


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Real analysis by DiBenedetto, Emmanuele

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Chebyshev splines and Kolmogorov inequalities by Bagdasarov, Sergey, 1969-

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Handbook of complex variables by Krantz, Steven G. (Steven George), 1951-

Table of Contents: “…Picard's Theorems -- 11. Rational Approximation Theory. 11.1. Runge's Theorem. 11.2. Mergelyan's Theorem -- 12. …”


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Mathematical constants II by Finch, Steven R., 1959-

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Point source explosion in a solid by Zaker, T. A. (Thomas Allen)

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