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<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title>Notes in Mathematics | Víctor Ballester Ribó</title> <meta name="author" content="Víctor Ballester Ribó"> <meta name="description" content="This is my personal website. "> <meta name="keywords" content="victor, ballester, ribo, academic-website, portfolio-website"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/[email protected]/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="https://unpkg.com/[email protected]/dist/bootstrap-table.min.css"> <link rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons"> <link rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?19f3075a2d19613090fe9e16b564e1fe" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/favicon.png?153caa51fef6f8682758531a20d1ecce"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://victorballester7.github.io/complete-summaries/"> <link rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?e74e74bf055e5729d44a7d031a5ca6a5" media="none" id="highlight_theme_dark"> <script src="/assets/js/theme.js?96d6b3e1c3604aca8b6134c7afdd5db6"></script> <script src="/assets/js/dark_mode.js?9b17307bb950ffa2e34be0227f53558f"></script> </head> <body class="fixed-top-nav sticky-bottom-footer"> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"><span class="font-weight-bold">Víctor </span>Ballester Ribó</a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About</a> </li> <li class="nav-item active"> <a class="nav-link" href="/complete-summaries/">Notes in Mathematics<span class="sr-only">(current)</span></a> </li> <li class="nav-item "> <a class="nav-link" href="/assets/pdf/victor-cv.pdf">CV</a> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="fas fa-moon"></i> <i class="fas fa-sun"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5"> <div class="post"> <header class="post-header"> <h1 class="post-title">Notes in Mathematics</h1> <p class="post-description"></p> </header> <article> <div class="post-description"> <p> This website intends to summarize some notes about each "important" subject in Mathematics and Physics degree at Autonomous University of Barcelona (UAB) and at Paris Dauphine - PSL University. These summaries aim to provide a concise overview of the key concepts and topics covered in each subject, serving as a helpful resource for students and anyone interested in these fields of study. </p> <p> You can download the sections separately as you like or the whole file of Mathematics. Keep in mind that downloading sections separately may cause some inconsistencies in references of theorems, definitions... from other sections. </p> </div> <h2>Mathematics</h2> <p>Full summaries of <a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/main_math.pdf" target="_top" rel="external nofollow noopener">Mathematics</a>.</p> <h4>1st year</h4> <ul> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Fundamentals_of_mathematics.pdf" rel="external nofollow noopener" target="_blank">Fundamentals of mathematics</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Linear_algebra.pdf" rel="external nofollow noopener" target="_blank">Linear algebra</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Real-valued_functions.pdf" rel="external nofollow noopener" target="_blank">Real-valued functions</a></li> </ul> <h4>2nd year</h4> <ul> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Algebraic_structures.pdf" rel="external nofollow noopener" target="_blank">Algebraic structures</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Discrete_mathematics.pdf" rel="external nofollow noopener" target="_blank">Discrete mathematics</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Functions_of_several_variables.pdf" rel="external nofollow noopener" target="_blank">Functions of several variables</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Linear_geometry.pdf" rel="external nofollow noopener" target="_blank">Linear geometry</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Mathematical_analysis.pdf" rel="external nofollow noopener" target="_blank">Mathematical analysis</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Numerical_methods.pdf" rel="external nofollow noopener" target="_blank">Numerical methods</a></li> </ul> <h4>3rd year</h4> <ul> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Complex_analysis.pdf" rel="external nofollow noopener" target="_blank">Complex analysis</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Differential_equations.pdf" rel="external nofollow noopener" target="_blank">Differential equations</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Differential_geometry.pdf" rel="external nofollow noopener" target="_blank">Differential geometry</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Galois_theory.pdf" rel="external nofollow noopener" target="_blank">Galois theory</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Probability.pdf" rel="external nofollow noopener" target="_blank">Probability</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Statistics.pdf" rel="external nofollow noopener" target="_blank">Statistics</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Topology.pdf" rel="external nofollow noopener" target="_blank">Topology</a></li> </ul> <h4>4th year</h4> <ul> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Algebraic_topology.pdf" rel="external nofollow noopener" target="_blank">Algebraic topology</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Dynamical_systems.pdf" rel="external nofollow noopener" target="_blank">Dynamical systems</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Harmonic_analysis.pdf" rel="external nofollow noopener" target="_blank">Harmonic analysis</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Linear_models.pdf" rel="external nofollow noopener" target="_blank">Linear models</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Numerical_calculus.pdf" rel="external nofollow noopener" target="_blank">Numerical calculus</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Numerical_integration_of_partial_differential_equations.pdf" rel="external nofollow noopener" target="_blank">Numerical integration of partial differential equations</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Partial_differential_equations.pdf" rel="external nofollow noopener" target="_blank">Partial differential equations</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Real_and_functional_analysis.pdf" rel="external nofollow noopener" target="_blank">Real and functional analysis</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Stochastic_processes.pdf" rel="external nofollow noopener" target="_blank">Stochastic processes</a></li> </ul> <h4>5th year</h4> <ul> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Advanced_dynamical_systems.pdf" rel="external nofollow noopener" target="_blank">Advanced dynamical systems</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Advanced_probability.pdf" rel="external nofollow noopener" target="_blank">Advanced probability</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Advanced_topics_in_functional_analysis_and_PDEs.pdf" rel="external nofollow noopener" target="_blank">Advanced topics in functional analysis and PDEs</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Introduction_to_control_theory.pdf" rel="external nofollow noopener" target="_blank">Introduction to control theory</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Introduction_to_nonlinear_elliptic_PDEs.pdf" rel="external nofollow noopener" target="_blank">Introduction to nonlinear elliptic PDEs</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Montecarlo_methods.pdf" rel="external nofollow noopener" target="_blank">Montecarlo methods</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Numerical_methods_for_PDEs.pdf" rel="external nofollow noopener" target="_blank">Numerical methods for PDEs</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Stochastic_calculus.pdf" rel="external nofollow noopener" target="_blank">Stochastic calculus</a></li> </ul> <h2>Topics in Physics</h2> <h4>Basic level</h4> <ul> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Electricity_and_magnetism.pdf" rel="external nofollow noopener" target="_blank">Electricity and magnetism</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Mechanics_and_special_relativity.pdf" rel="external nofollow noopener" target="_blank">Mechanics and special relativity</a></li> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Structure_of_matter_and_thermodynamics.pdf" rel="external nofollow noopener" target="_blank">Structure of matter and thermodynamics</a></li> </ul> <h4>Advanced level</h4> <ul> <li><a href="https://github.com/victorballester7/complete-summaries/releases/latest/download/Fluid_mechanics.pdf" rel="external nofollow noopener" target="_blank">Fluid mechanics</a></li> </ul> </article> </div> </div> <footer class="sticky-bottom mt-5"> <div class="container"> © Copyright 2025 Víctor Ballester Ribó. 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