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<p>-&nbsp;<b>Part I Plenary Lecture.- </b>A Review of Univariate and Multivariate Multifractal Analysis Illustrated by the Analysis of Marathon Runners Physiological Data.- <b>Part II Applications of Dynamical Systems Theory in Biology.- </b>Wavefronts in Forward-Backward Parabolic Equations and&nbsp;Applications to Biased Movements.- Bohr-Levitan Almost Periodic and Almost Automorphic&nbsp;Solutions of Equation&nbsp;<i>x' (t) = f(t&nbsp;– 1, x(t&nbsp;– 1))&nbsp;– f(t, x(t))</i>.- Periodic Solutions in a Differential Delay Equation Modeling&nbsp;Megakaryopoiesis.- Discrete and Continuous Models of the COVID-19 Pandemic&nbsp;Propagation with a Limited Time Spent in Compartments.- <b>Part III Challenges in STEM Education.- </b>Some Aspects of Usage of Digital Technologies in Mathematics&nbsp;Education.- Teaching of STEM Lectures During the COVID-19 Time.- Extra-Curricular Activities to Promote STEM Learning.- Usage of Online Platforms in Education of Mathematics in&nbsp;Transcarpathia atthe Beginning of Quarantine.- The Use of Technologies to Promote Critical Thinking in&nbsp;Pre-service Teachers.- Alarming Changes in Polish Education vs Longlife and Remote&nbsp;Learning.- The Most Common Mathematical Mistakes in the Teaching of&nbsp;Scientific Subjects at Secondary Schools.- Challenges to the Development of Effective Creativity.- <b>Part IV Complex Analysis and Partial Differential Equations.- </b>Universality of the Dirichlet Series in the Complex Plane.- On One Oscillation Problem of Zeroth Approximation of&nbsp;Hierarchical Model for Porous Elastic Plates with Variable Thickness.- Solution of the Kirsch Problem for the Elastic Materials with&nbsp;Voids in the Case of Approximation&nbsp;<i>N = 1&nbsp;</i>of Vekua’s Theory.- Analysis of BVP for Some Elliptic Systems on a Complex Plane.- Second Order Differential Operators Associated to the Space of&nbsp;Holomorphic Functions.- Constructional Method for a Non-local Boundary and Initial&nbsp;Problem Raised from a Free Boundary Model of Cancer.- <b>Part V Complex Variables and Potential Theory.- </b>A Perturbation Result for a Neumann Problem in a Periodic Domain.- On One Inequality for Non-overlapping Domains.- Schwarz Lemma Type Estimates for Solutions to Nonlinear&nbsp;Beltrami Equation.- On Conditions of Local Lineal Convexity Generalized to&nbsp;Commutative Algebras.- On a Quadrature Formula for the Direct Value of the Double&nbsp;Layer Potential.- Menchov–Trokhimchuk Theorem Generalized for Monogenic&nbsp;Functions in a Three-Dimensional Algebra.- <b>Part VI Constructive Methods in the Theory of Composite and&nbsp;Porous Media.- </b>Monodromy of Pfaffian Equations for Group-Valued Functions&nbsp;on Riemann Surfaces.- Introduction to Neoclassical Theory of Composites.- Analogues the Kolosov-Muskhelishvili Formulas for Isotropic&nbsp;Materials with Double Voids.- Schwarz-Christoffel Mapping and Generalised Modulus of a&nbsp;Quadrilateral.- Dimension Reduction in the Periodicity Cell Problem forPlate&nbsp;Reinforced by a Unidirectional System of Fibers.- Self-Consistent Approximations in the Theory of Composites and&nbsp;Their Limitations.- On Electromagnetic Wave Equations for a Nonhomegenous&nbsp;Microperiodic Medium.- <b>Part VII Generalized Functions and Applications.- </b>A Note on Composition Operators Between Weighted Spaces of&nbsp;Smooth Functions.- 1D Hyperbolic Systems with Nonlinear Boundary Conditions II:&nbsp;Criteria for Finite Time Stability.- 1D Hyperbolic Systems with Nonlinear Boundary Conditions I:&nbsp;.<i>L2</i>-Generalized Solutions.- On Classification of Semigroups Associated to Levy Processes.- <b>Part VIII Harmonic Analysis and Partial Differential Equations.- </b>The Index of Toeplitz Operators on Compact Lie Groups and on&nbsp;Simply Connected Closed 3-Manifolds.- <b>Part IX Partial Differential Equations on Curved Spacetimes</b>.- Lorentzian Spectral Zeta Functions on Asymptotically&nbsp;Minkowski Spacetimes.- Aspects of Non-associative Gauge Theory.- Remarks on Global Smoothing Effect of Solutions to Nonlinear&nbsp;ElasticWave Equations with Viscoelastic Term.- Local and Global Solutions for the Semilinear Proca Equations&nbsp;in the de Sitter Spacetime.- Numerical Simulations of Semilinear Klein–Gordon Equation in&nbsp;the de Sitter Spacetime with Structure-Preserving Scheme.- <b>Part X Recent Progress in Evolution Equations.- </b>Global Small Data Solutions for an Evolution Equation with&nbsp;Structural Damping and Hartree-Type Nonlinearity.- A Note on Continuity of Strongly Singular Calderón-Zygmund&nbsp;Operators in Hardy-Morrey Spaces.- The Asymptotic Estimates of the Solutions to the Linear&nbsp;Damping Models with Spatial Dependent Coefficients.- A Klein-Gordon Model with Time-Dependent Coefficients and a&nbsp;Memory-Type Nonlinearity.- Intrinsic Polynomial Squeezing for Balakrishnan-Taylor Beam&nbsp;Models.- On the Wave-Like Energy Estimates of Klein-Gordon Type&nbsp;Equations with Time Dependent Potential.- Non-Linear Evolution Equations with Non-Local Coefficients&nbsp;and Zero-Neumann Condition: One Dimensional Case.- Nonlinear Perturbed BLMP Equation.- <b>Part XI Wavelet Theory and Its Related Topics.- </b>Holomorphic Curves with Deficiencies and the Uniqueness Problem.- On Some Topics Related to the Gabor Wavelet Transform.- On the Diameters and Radii of the Extended Sierpiński Graphs.- Some Inequalities for Parseval Frames.- <i>p</i>-Adic Time-Frequency Analysis and Its Properties.</p>

<b>U</b><b>we Kähler</b> is Associate Professor of Mathematics in the Department of Mathematics at the University of Aveiro.<p></p>

<p><b>Michael Reissig</b> is Professor of Mathematics in the Institute for Applied Analysis at Technischen Universität Bergakademie Freiberg.</p>

<p><b>Irene Sabadini</b> is Professor of Mathematics in the Department of Mathematics at the University of Milan.</p>

<p><b>Jasson Vindas</b> is Associate Professor of Mathematics in the Department of Mathematics: Analysis, Logic and Discrete Mathematics at Ghent University.</p>

This volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium.<div><br></div><div>The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.</div>

Provides a representative sample of international current research in the large field of Analysis and its Applications Collection in book format of chapters devoted to special areas in Analysis Results are up-to-date with an outlook on future directions