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Complex Systems in Biomedicine

Posted By: AvaxGenius
Complex Systems in Biomedicine

Complex Systems in Biomedicine by Alfio Quarteroni, Luca Formaggia, Alessandro Veneziani
English | PDF (True) | 2006 | 299 Pages | ISBN : 8847003946 | 7 MB

Mathematical modeling of human physiopathology is a tremendouslyambitioustask. It encompasses the modeling of most diverse compartments such as the cardiovaslar,respiratory,skeletalandnervoussystems,aswellasthemechanicalandbioch- ical interaction between blood ?ow and arterial walls, and electrocardiac processes and electric conduction in biological tissues. Mathematical models can be set up to simulate both vasculogenesis (the aggregation and organization of endothelial cells dispersed in a given environment) and angiogenesis (the formation of new vessels sprouting from an existing vessel) that are relevant to the formation of vascular networks, and in particular to the description of tumor growth. The integration of models aimed at simulating the cooperation and interrelation of different systems is an even more dif?cult task. It calls for the setting up of, for instance, interaction models for the integrated cardio-vascular system and the interplay between the central circulation and peripheral compartments, models for the mid-to-long range cardiovascular adjustments to pathological conditions (e.g., to account for surgical interventions, congenital malformations, or tumor growth), models for integration among circulation, tissue perfusion, biochemical and thermal regulation, models for parameter identi?cation and sensitivity analysis to parameter changes or data uncertainty – and many others.

Mixing: Chaos and Turbulence

Posted By: AvaxGenius
Mixing: Chaos and Turbulence

Mixing: Chaos and Turbulence by H. Chaté, E. Villermaux, J.-M. Chomaz
English | PDF | 1999 | 395 Pages | ISBN : 0306461951 | 43.8 MB

Mixing may be thought of as the operation by which a system evolves from one state of simplicity (initial segregation) to another state of simplicity (complete uniformity). Between these two extremes, complex patterns emerge and die. Questions naturally arise- how can the geometry of complex patterns be characterised, what is the time scale of the process, what structures are involved in the flow?

Biometrics: Advanced Identity Verification: The Complete Guide

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Biometrics: Advanced Identity Verification: The Complete Guide

Biometrics: Advanced Identity Verification: The Complete Guide by Julian Ashbourn
English | PDF | 2000 | 215 Pages | ISBN : 1852332433 | 42.1 MB

Biometric identity verification (BIV) offers a radical alternative to passports, PIN numbers, ID cards and driving licences. It uses physiological or behavioural characteristics such as fingerprints, hand geometry, and retinas to check a person's identity. It is therefore much less open to fraudulent use, which makes it ideal for use in voting systems, financial transactions, benefit payment administration, border control, and prison access.

Minimal Surfaces I: Boundary Value Problems

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Minimal Surfaces I: Boundary Value Problems

Minimal Surfaces I: Boundary Value Problems by Ulrich Dierkes , Stefan Hildebrandt , Albrecht Küster , Ortwin Wohlrab
English | PDF | 1992 | 528 Pages | ISBN : N/A | 47.4 MB

Minimal surfaces I is an introduction to the field of minimal surfaces and apresentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for students who want to enter this interesting area of analysis and differential geometry which during the last 25 years of mathematical research has been very active and productive. Surveys of various subareas will lead the student to the current frontiers of knowledge and can alsobe useful to the researcher. The lecturer can easily base courses of one or two semesters on differential geometry on Vol. 1, as many topics are worked out in great detail. Numerous computer-generated illustrations of old and new minimal surfaces are included to support intuition and imagination. Part 2 leads the reader up to the regularity theory fornonlinear elliptic boundary value problems illustrated by a particular and fascinating topic. There is no comparably comprehensive treatment of the problem of boundary regularity of minimal surfaces available in book form. This long-awaited book is a timely and welcome addition to the mathematical literature.

Complex Analytic Desingularization (Repost)

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Complex Analytic Desingularization (Repost)

Complex Analytic Desingularization by José Manuel Aroca , Heisuke Hironaka , José Luis Vicente
English | EPUB (True) | 2019 | 356 Pages | ISBN : 4431702180 | 19.4 MB

[From the foreword by B. Teissier] The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka's general approach, have appeared, the validity of some of them extending beyond the complex analytic case. The proof has now been so streamlined that, although it was seen 50 years ago as one of the most difficult proofs produced by mathematics, it can now be the subject of an advanced university course. Yet, far from being of historical interest only, this long-awaited book will be very rewarding for any mathematician interested in singularity theory. Rather than a proof of a canonical or algorithmic resolution of singularities, what is presented is in fact a masterly study of the infinitely near “worst” singular points of a complex analytic space obtained by successive “permissible” blowing ups and of the way to tame them using certain subspaces of the ambient space. This taming proves by an induction on the dimension that there exist finite sequences of permissible blowing ups at the end of which the worst infinitely near points have disappeared, and this is essentially enough to obtain resolution of singularities. Hironaka’s ideas for resolution of singularities appear here in a purified and geometric form, in part because of the need to overcome the globalization problems appearing in complex analytic geometry.

Advanced Composites

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Advanced Composites

Advanced Composites by Shadia Jamil Ikhmayies
English | EPUB (True) | 2023 (2024 Edition) | 655 Pages | ISBN : 3031427300 | 118.7 MB

This book presents a comprehensive collection of reviews and experimental research findings in the realm of composite materials. It explores manufacturing technologies and applications, as well as recent breakthroughs in nanomaterial-based composites, polymer-based composites, titanium matrix composites (TMCs), conducting polymers, natural polymers, graphene polymers, graphene composites, and organosulfur polymeric composites, alongside reinforced aluminum matrix composites. The mechanical and tribological aspects take center stage, with a focus on aluminum alloy composites as a superior alternative to traditional gear materials. The book also addresses cutting-edge composite materials developed for drug removal via adsorption techniques, radiation shielding, and their use as shielding absorbers for ionizing radiation. Furthermore, the significance of electrical contact materials and their performance is explored. The book unveils fabrication methods, sample preparation techniques, properties, and various applications of these remarkable composites.

Functional Analysis: An Introduction to Banach Space Theory

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Functional Analysis: An Introduction to Banach Space Theory

Functional Analysis: An Introduction to Banach Space Theory by Terry J. Morrison
English | PDF | 2000 | 370 Pages | ISBN : 0471372145 | 17.6 MB

A powerful introduction to one of the most active areas of theoretical and applied mathematics.

Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions (Repost)

Posted By: AvaxGenius
Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions (Repost)

Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions by Michel L. Lapidus , Machiel Frankenhuysen
English | PDF | 2000 | 277 Pages | ISBN : 0817640983 | 21.76 MB

A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo­ metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di­ mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string.

Hyperbolic Geometry

Posted By: AvaxGenius
Hyperbolic Geometry

Hyperbolic Geometry by James W. Anderson
English | PDF | 1999 | 239 Pages | ISBN : 1852331569 | 18.15 MB

The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, providing the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincaré disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications.

Relativistic Electrodynamics and Differential Geometry

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Relativistic Electrodynamics and Differential Geometry

Relativistic Electrodynamics and Differential Geometry by Stephen Parrott
English | PDF | 1987 | 317 Pages | ISBN : 1461291135 | 38.8 MB

The aim of this book is to provide a short but complete exposition of the logical structure of classical relativistic electrodynamics written in the language and spirit of coordinate-free differential geometry. The intended audience is primarily mathematicians who want a bare-bones account of the foundations of electrodynamics written in language with which they are familiar and secondarily physicists who may be curious how their old friend looks in the new clothes of the differential-geometric viewpoint which in recent years has become an important language and tool for theoretical physics.

The Stationary Semiconductor Device Equations

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The Stationary Semiconductor Device Equations

The Stationary Semiconductor Device Equations by Peter A. Markowich
English | PDF | 1986 | 202 Pages | ISBN : 3211818928 | 16.1 MB

In the last two decades semiconductor device simulation has become a research area, which thrives on a cooperation of physicists, electrical engineers and mathe­ maticians. In this book the static semiconductor device problem is presented and analysed from an applied mathematician's point of view. I shall derive the device equations - as obtained for the first time by Van Roosbroeck in 1950 - from physical principles, present a mathematical analysis, discuss their numerical solu­ tion by discretisation techniques and report on selected device simulation runs. To me personally the most fascinating aspect of mathematical device analysis is that an interplay of abstract mathematics, perturbation theory, numerical analysis and device physics is prompting the design and development of new technology.

Introduction to Complex Analytic Geometry

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Introduction to Complex Analytic Geometry

Introduction to Complex Analytic Geometry by Stanisław Łojasiewicz
English | PDF | 1991 | 535 Pages | ISBN : 303487619X | 23 MB

facts. An elementary acquaintance with topology, algebra, and analysis (in­ cluding the notion of a manifold) is sufficient as far as the understanding of this book is concerned. All the necessary properties and theorems have been gathered in the preliminary chapters -either with proofs or with references to standard and elementary textbooks. The first chapter of the book is devoted to a study of the rings Oa of holomorphic functions.

Ad Hoc Wireless Networking

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Ad Hoc Wireless Networking

Ad Hoc Wireless Networking by Xiuzhen Cheng, Xiao Huang, Ding-Zhu Du
English | PDF | 2004 | 622 Pages | ISBN : 1402077122 | 65.1 MB

Wireless networking enables two or more computers to communicate using standard network protocols without network cables. Since their emergence in the 1970s, wireless networks have become increasingly pop­ ular in the computing industry. In the past decade, wireless networks have enabled true mobility.

Mathematical Conversations: Selections from The Mathematical Intelligencer

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Mathematical Conversations: Selections from The Mathematical Intelligencer

Mathematical Conversations: Selections from The Mathematical Intelligencer by Robin Wilson, Jeremy Gray
English | PDF | 2001 | 486 Pages | ISBN : 0387986863 | 54.1 MB

Approximately fifty articles that were published in The Mathematical Intelligencer during its first eighteen years. The selection demonstrates the wide variety of attractive articles that have appeared over the years, ranging from general interest articles of a historical nature to lucid expositions of important current discoveries. Each article is introduced by the editors. "…The Mathematical Intelligencer publishes stylish, well-illustrated articles, rich in ideas and usually short on proofs. …Many, but not all articles fall within the reach of the advanced undergraduate mathematics major. … This book makes a nice addition to any undergraduate mathematics collection that does not already sport back issues of The Mathematical Intelligencer." D.V. Feldman, University of New Hamphire, CHOICE Reviews, June 2001.

A Course in Mathematical Physics 2: Classical Field Theory

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A Course in Mathematical Physics 2: Classical Field Theory

A Course in Mathematical Physics 2: Classical Field Theory by Walter Thirring
English | PDF | 1978 | 270 Pages | ISBN : 0387962662 | 17.3 MB

In the past decade the language and methods ofmodern differential geometry have been increasingly used in theoretical physics. What seemed extravagant when this book first appeared 12 years ago, as lecture notes, is now a commonplace. This fact has strengthened my belief that today students of theoretical physics have to learn that language-and the sooner the better. Afterall, they willbe the professors ofthe twenty-first century and it would be absurd if they were to teach then the mathematics of the nineteenth century.