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This slim and agile book, written in a pedagogical and hands-on style, without sacrificing formal rigor fills this gap. It brings Ph.D. students in Physics, as well as more senior practitioners, through the standard tools and results on random matrices, with an eye on most recent developments that are not usually covered in introductory texts. The focus is mainly on random matrices with real spectrum. The main guiding threads throughout the book are the Gaussian Ensembles. In particular, Wigner?s semicircle law is derived multiple times to illustrate several techniques (e.g., Coulomb gas approach, replica theory). Most chapters are accompanied by Matlab codes (stored in an online repository) to guide readers through the numerical check of most analytical results. 410 0$aSpringerBriefs in Mathematical Physics,$x2197-1757 ;$v26 606 $aPhysics 606 $aProbabilities 606 $aMathematical physics 606 $aStatistical physics 606 $aDynamics 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 615 0$aPhysics. 615 0$aProbabilities. 615 0$aMathematical physics. 615 0$aStatistical physics. 615 0$aDynamics. 615 14$aMathematical Methods in Physics. 615 24$aProbability Theory and Stochastic Processes. 615 24$aMathematical Physics. 615 24$aStatistical Physics and Dynamical Systems. 615 24$aComplex Systems. 676 $a512.9434 700 $aLivan$b Giacomo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0835319 702 $aNovaes$b Marcel$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aVivo$b Pierpaolo$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300556503321 996 $aIntroduction to Random Matrices$92537608 997 $aUNINA