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101 0 $aeng
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200 10$aExercises in Applied Mathematics $eWith a View toward Information Theory, Machine Learning, Wavelets, and Statistical Physics /$fby Daniel Alpay
205   $a1st ed. 2024.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2024.
215   $a1 online resource (0 pages)
225 1 $aChapman Mathematical Notes,$x3005-1517
311 08$a3-031-51821-7 
327   $aPrologue -- Part I: Algebra -- Linear Algebra -- Positive Matrices -- Algebra and Error Correcting Codes -- Part II: Analysis -- Complements in Real and Complex Analysis -- Complements in Functional Analysis -- Part III: Probability and Applications -- Probability Theory -- Entropy: Discrete Case -- Thermodynamics.
330   $aThis text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connections. It explores essential tools from linear algebra, elementary functional analysis, and probability theory in detail and demonstrates their applications in topics such as entropy, machine learning, error-correcting codes, and quantum channels. The theory of communication and signal theory are also in the background, and many exercises have been chosen from the theory of wavelets and machine learning. Exercises are selected from a number of different domains, both theoretical and more applied. Notes and other remarks provide motivation for the exercises, and hints and full solutions are given for many. For senior undergraduate and beginning graduate students majoring in mathematics, physics, or engineering, this text will serve as a valuable guide as they move on to more advanced work.
410  0$aChapman Mathematical Notes,$x3005-1517
606   $aAlgebras, Linear
606   $aProbabilities
606   $aMachine learning
606   $aHarmonic analysis
606   $aStatistical physics
606   $aLinear Algebra
606   $aApplied Probability
606   $aMachine Learning
606   $aAbstract Harmonic Analysis
606   $aStatistical Physics
615  0$aAlgebras, Linear.
615  0$aProbabilities.
615  0$aMachine learning.
615  0$aHarmonic analysis.
615  0$aStatistical physics.
615 14$aLinear Algebra.
615 24$aApplied Probability.
615 24$aMachine Learning.
615 24$aAbstract Harmonic Analysis.
615 24$aStatistical Physics.
676   $a515.076
700   $aAlpay$b Daniel$054298
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910857794803321
996   $aExercises in Applied Mathematics$94161301
997   $aUNINA