Avner Friedman Poradie kníh

This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological andbiomedical research. Considered to be the undergraduate companion to the more advanced book „Mathematical Modeling of Biological Processes“ (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.

Focusing on the intersection of mathematics and industry, this volume presents real-world problems sourced directly from industrial scientists. Each chapter, based on seminar presentations, is self-contained and includes references to relevant mathematical literature, along with a list of open problems that pique the interest of industrial scientists. Some chapters also offer brief insights into partial solutions. Additionally, the final chapter reviews solutions to problems from the previous volume, highlighting ongoing developments in the field.

Focusing on the interaction between industry and mathematics, this volume presents real-world problems sourced from industrial scientists aimed at developing new or improved products. Each chapter, based on talks from the IMA seminar, is self-contained and includes references to relevant mathematical literature and lists of open problems. It highlights the fruitful collaboration between the two fields, showcasing how mathematical insights can address industrial challenges while simultaneously introducing novel problems to the mathematical community.

Focusing on the collaboration between mathematicians and industrial scientists, this book addresses a variety of complex industrial challenges. It covers topics such as imaging, diffusion in polymers, composite materials, and machine vision, providing insights into applied mathematics in real-world scenarios. Each chapter includes open problems and references, enhancing its utility for researchers, while the final chapter offers solutions to previously posed problems, making it a valuable resource for tackling contemporary industrial issues.

Focusing on the intersection of industry and mathematics, this volume presents challenges derived from real-world industrial problems. Based on presentations from the IMA Seminar on Industrial Problems, each self-contained chapter discusses specific issues posed by industrial scientists, offering references to relevant mathematical literature and listing open problems. Additionally, some chapters provide brief insights into partial solutions. The final chapter reviews solutions to previously raised problems, showcasing the ongoing dialogue between mathematical theory and industrial application.

Fostering collaboration between industry and mathematics, this volume addresses specific industrial problems that arise from scientific models aimed at product development. It compiles insights from discussions held at the IMA seminar on Industrial Problems, with each chapter focusing on a distinct talk. The chapters are self-contained, featuring references to relevant mathematical literature and lists of open problems appealing to industrial scientists. Additionally, the final chapter summarizes solutions to select issues from the previous volume, along with citations of published works.

Focusing on the intersection of industry and mathematics, this volume presents specific challenges identified through direct engagement with industrial scientists. Each chapter, stemming from discussions at the IMA Seminar on Industrial Problems, is self-contained and highlights unique mathematical challenges linked to real-world applications. The chapters include references to relevant literature and lists of open problems that intrigue industrial scientists. Additionally, the final chapter summarizes solutions to previously raised problems, showcasing ongoing mathematical exploration in industrial contexts.

Focusing on the intersection of industry and mathematics, this volume presents specific industrial problems that have emerged from real-world applications, particularly in product development. Each chapter, stemming from seminar presentations, is self-contained and includes references to relevant mathematical literature and open problems of interest to industrial scientists. The final chapter summarizes solutions to problems from previous volumes and cites additional resources. This work highlights the collaborative efforts between mathematicians and industry professionals to tackle complex challenges.

Largely self-contained, this three-part treatment focuses on elliptic and evolution equations, concluding with a series of independent topics directly related to the methods and results of the preceding sections. 1969 edition.

Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.