Mathematical Analysis 93

Unified Principle (〓): Complete Architecture of Reality This thesis proposes an integrated and mathematically rigorous framework for understanding reality, in which laws, events, observers, and mor……続きを見る

This monograph introduces a unified framework for analyzing and comparing the asymptotic growth of number-theoretic functions through the novel notions of degree and logexponential degree. Extending……続きを見る

Lebesgue Measure and Integration Theory: Foundations and Solved Exercises offers a thorough, engaging introduction to Lebesgue measure and the theory of integration for students of mathematics and p……続きを見る

Unified Principle (〓) – Volume I The Crisis of Fragmented Knowledge & Foundations of Reality (From Fragmentation to the Necessity of a Unified Framework) Modern science has achieved extraordinary s……続きを見る

Unified Principle (〓) – Volume II Unified Principle (〓) & Scientific Mapping (Formal Structures, Laws, Events, and Observer-Inclusive Reality) This volume presents the scientific and formal mappin……続きを見る

Unified Principle (〓) – Volume III Logical Consequences, Civilization & Final Synthesis (From Transcendence to Civilization: Ethics, Meaning, and Human Responsibility) Unified Principle (〓) – Volu……続きを見る

Artificial Intelligence Techniques in Mathematical Modeling and Optimization offers a dynamic and comprehensive examination of the intersection between artificial intelligence and mathematical model……続きを見る

In diesem Buch entwickeln wir die mathematische Theorie zeitdiskreter dynamischer Systeme. Unser Schwerpunkt liegt hierbei auf der Definition sowie der qualitativen und quantitativen Untersuchung ch……続きを見る

This book is on the construction and convergence analysis of implementable algorithms to approximate the optimal control of a stochastic linear-quadratic optimal control problem (SLQ problem, for sh……続きを見る

This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fraction……続きを見る

This monograph provides a timely overview of recent developments in classical Lie theory as well as concrete examples in applied mathematics and mathematical physics. Utilizing a comprehensive and s……続きを見る

This contributed volume contains chapters on various fixed-point theorems, including those in metric, b-metric and partial metric spaces. The book addresses the need for rigorous analytical methods ……続きを見る

These proceedings result from the International Conference 'Geometry, Analysis & Convexity' (OLE 2022) held from 20th to 24th June 2022 at the Instituto de Matemáticas de la Universidad de Sevilla (……続きを見る

This book provides a clear and easy-to-understand introduction to higher mathematics with numerous examples. The author shows how to solve typical problems in a recipe-like manner and divides the ma……続きを見る

The universe explained. The laws that govern everything. A revolution in science. In The System of the World, Isaac Newton presents a groundbreaking explanation of the natural laws that shape the mo……続きを見る

This volume provides comprehensive coverage of new developments in hypercomplex analysis and Clifford analysis. Contributions are based on talks given at the 9th European Congress of Mathematics min……続きを見る

This book compiles contributions primarily from young scholars who participated in the Workshop on Complex Analysis, Fourier Analysis, and Operator Theory 2, held in Rome in September 2022. This wor……続きを見る

Luminous Fabric: Nur, Consciousness, and Quantum Realm Volume I - Nur & Ontological Reality (What exists & why) What does it mean to exist? Why is there something rather than nothing? And what is th……続きを見る

Dieses Buch richtet sich an Studierende in MINT-Studiengängen, die die Mathematik-Grundvorlesungen der ersten beiden Semester absolviert haben. Es vermittelt ein grundlegendes Verständnis der mehrdi……続きを見る

This textbook offers a self-contained introduction to the theory of connections on vector bundles that is accessible to both advanced undergraduate students and graduate students. Constructions and ……続きを見る

This book introduces a new multifractal vectorial formalism based on Hewitt-Stromberg measures, with particular emphasis on its application to branching random walks on the Galton-Watson tree. This ……続きを見る

This book aims to explore the scale invariance present in certain nonlinear dynamical systems. We will discuss both ordinary differential equations (ODEs) and discrete-time maps. The loss of predict……続きを見る

This monograph provides a rigorous analysis of a wide range of stationary (steady state) boundary value problems for elliptic systems of Stokes and Navier-Stokes type, as encountered in fluid dynami……続きを見る

Lie group representation theory and harmonic analysis on Lie groups and their homogeneous spaces form a significant area of mathematical research. Interest in these areas began soon after World War ……続きを見る

This book is a monograph about hybrid networks of singular and non-singular, 1-dimensional flows and equilibriums in self and product polynomial systems. The higher-order singular 1-dimensional flow……続きを見る

This textbook offers an introduction to the mathematical modeling of complex living systems. The authors guide undergraduate students in modeling ecological and biomedical problems using differentia……続きを見る

This book presents a comprehensive optimization based theory and framework that exploits the synergistic interactions and tradeoffs between process design and operational decisions that span differe……続きを見る

Time as Emergent from Dependency presents a bold rethinking of one of the most fundamental assumptions in science and philosophy: the nature of time. Instead of treating time as a primary dimension ……続きを見る

The current volume collects selected contributions from the ISAAC–ICMAM Conference of Analysis in Developing Countries 2024, organised jointly by the International Society for Analysis, its Applicat……続きを見る

This book presents a new Lefschetz trace formula for a foliated flow on a compact foliated manifold with a foliation of codimension one. The leaves preserved by the flow and its closed orbits are as……続きを見る