Friedman, Avner
Overview
Works:  184 works in 832 publications in 5 languages and 11,315 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Creator, Honoree 
Classifications:  QA3, 515 
Publication Timeline
.
Most widely held works by
Avner Friedman
Generalized functions and partial differential equations by
Avner Friedman(
Book
)
111 editions published between 1963 and 2013 in 4 languages and held by 1,751 WorldCat member libraries worldwide
Title Page; Copyright Page; Dedication; PREFACE; Table of Contents; Part 1  ELLIPTIC EQUATIONS; 1 DEFINITIONS; 2 GREEN'S IDENTITY; 3 FUNDAMENTAL SOLUTIONS; 4 CONSTRUCTION OF FUNDAMENTAL SOLUTIONS; 5 PARTITION OF UNITY; 6 WEAK AND STRONG DERIVATIVES; 7 STRONG DERIVATIVE AS A LOCAL PROPERTY; 8 CALCULUS INEQUALITIES; 9 EXTENDED SOBOLEV INEQUALITIES IN Rn; 10 EXTENDED SOBOLEV INEQUALITIES IN BOUNDED DOMAINS; 11 IMBEDDING THEOREMS; 12 GÅRRDING'S INEQUALITY; 13 THE DIRICHLET PROBLEM; 14 EXISTENCE THEORY; 15 REGULARITY IN THE INTERIOR; 16 REGULARITY IN THE INTERIOR (Continued)
111 editions published between 1963 and 2013 in 4 languages and held by 1,751 WorldCat member libraries worldwide
Title Page; Copyright Page; Dedication; PREFACE; Table of Contents; Part 1  ELLIPTIC EQUATIONS; 1 DEFINITIONS; 2 GREEN'S IDENTITY; 3 FUNDAMENTAL SOLUTIONS; 4 CONSTRUCTION OF FUNDAMENTAL SOLUTIONS; 5 PARTITION OF UNITY; 6 WEAK AND STRONG DERIVATIVES; 7 STRONG DERIVATIVE AS A LOCAL PROPERTY; 8 CALCULUS INEQUALITIES; 9 EXTENDED SOBOLEV INEQUALITIES IN Rn; 10 EXTENDED SOBOLEV INEQUALITIES IN BOUNDED DOMAINS; 11 IMBEDDING THEOREMS; 12 GÅRRDING'S INEQUALITY; 13 THE DIRICHLET PROBLEM; 14 EXISTENCE THEORY; 15 REGULARITY IN THE INTERIOR; 16 REGULARITY IN THE INTERIOR (Continued)
Differential games by
Avner Friedman(
Book
)
41 editions published between 1971 and 2013 in English and held by 866 WorldCat member libraries worldwide
41 editions published between 1971 and 2013 in English and held by 866 WorldCat member libraries worldwide
Mathematics in industrial problems by
Avner Friedman(
Book
)
30 editions published between 1988 and 1995 in 3 languages and held by 601 WorldCat member libraries worldwide
Mass flow sensing with heat waves  Mass transport in colloidal dispersions  Crack propagation modeling  Modeling of electrostatic bell sprayers  Neural networks as controllers  Headmedia interaction in magnetic recording  Geometric path planning in rapid prototyping  Feature detection and tracking in three dimensional image analysis  Robot localization using landmarks  Coordinates for mechanism configuration spaces  Pulse optimization for multiuser data communications  Propagation of highly scattered radiation in tissue  Doping profiling by inverse device methods  Mathematical modeling in diffractive optics  Coping with complex boundaries  A short random walk through polymer material behavior  Finite set statistics with applications to data fusion  Electromigration modeling for smart power applications  Maxwell's equations and the analysis of electromagnetic  Engineering modeling of batteries  Solutions to problems from previous parts
30 editions published between 1988 and 1995 in 3 languages and held by 601 WorldCat member libraries worldwide
Mass flow sensing with heat waves  Mass transport in colloidal dispersions  Crack propagation modeling  Modeling of electrostatic bell sprayers  Neural networks as controllers  Headmedia interaction in magnetic recording  Geometric path planning in rapid prototyping  Feature detection and tracking in three dimensional image analysis  Robot localization using landmarks  Coordinates for mechanism configuration spaces  Pulse optimization for multiuser data communications  Propagation of highly scattered radiation in tissue  Doping profiling by inverse device methods  Mathematical modeling in diffractive optics  Coping with complex boundaries  A short random walk through polymer material behavior  Finite set statistics with applications to data fusion  Electromigration modeling for smart power applications  Maxwell's equations and the analysis of electromagnetic  Engineering modeling of batteries  Solutions to problems from previous parts
Variational principles and freeboundary problems by
Avner Friedman(
Book
)
22 editions published between 1982 and 2010 in English and Italian and held by 471 WorldCat member libraries worldwide
22 editions published between 1982 and 2010 in English and Italian and held by 471 WorldCat member libraries worldwide
Industrial mathematics : a course in solving realworld problems by
Avner Friedman(
Book
)
26 editions published between 1993 and 1995 in English and Palauan and held by 471 WorldCat member libraries worldwide
Industrial mathematics is a fast growing field within the mathematical sciences. It is characterized by the origin of the problems which it engages; they all come from industry: research and development, finances, and communications. The common feature running through this enterprise is the goal of gaining a better understanding of industrial models and processes through mathematical ideas and computations. The authors of this book have undertaken the approach of presenting real industrial problems and their mathematical modeling as a motivation for developing mathematical methods that are needed for solving the problems. With each chapter presenting one important problem that arises in today's industry, and then studying the problem by mathematical analysis and computation, this book introduces the reader to many new ideas and methods from ordinary and partial differential equations, and from integral equations and control theory. It brings the excitement of real industrial problems into the undergraduate mathematical curriculum. The problems selected are accessible to students who have already taken what in many colleges and universities constitutes the first twoyear basic Calculus sequence. A working knowledge of Fortran, Pascal, or C language is required
26 editions published between 1993 and 1995 in English and Palauan and held by 471 WorldCat member libraries worldwide
Industrial mathematics is a fast growing field within the mathematical sciences. It is characterized by the origin of the problems which it engages; they all come from industry: research and development, finances, and communications. The common feature running through this enterprise is the goal of gaining a better understanding of industrial models and processes through mathematical ideas and computations. The authors of this book have undertaken the approach of presenting real industrial problems and their mathematical modeling as a motivation for developing mathematical methods that are needed for solving the problems. With each chapter presenting one important problem that arises in today's industry, and then studying the problem by mathematical analysis and computation, this book introduces the reader to many new ideas and methods from ordinary and partial differential equations, and from integral equations and control theory. It brings the excitement of real industrial problems into the undergraduate mathematical curriculum. The problems selected are accessible to students who have already taken what in many colleges and universities constitutes the first twoyear basic Calculus sequence. A working knowledge of Fortran, Pascal, or C language is required
Stochastic analysis : Summer Research Institute on Stochastic Analysis July 1130, 1993 Cornell University Ithaca, New York by
Summer Research Institute on Stochastic Analysis(
Book
)
21 editions published in 1978 in English and Undetermined and held by 332 WorldCat member libraries worldwide
Optimal stopping in a reliability problem; On the HamiltonJacobi approach for the optimal control of diffusion processes with Jumps; On the number of distinct sites visited by a Random Walk; Duality for markov processes; Stochastic dynamical systems and their flows; Some measurevalued population processes; Optimal stopping for random evolution of multidimensional poisson processes with partial observation; The tail 0field of one dimensional diffusions
21 editions published in 1978 in English and Undetermined and held by 332 WorldCat member libraries worldwide
Optimal stopping in a reliability problem; On the HamiltonJacobi approach for the optimal control of diffusion processes with Jumps; On the number of distinct sites visited by a Random Walk; Duality for markov processes; Stochastic dynamical systems and their flows; Some measurevalued population processes; Optimal stopping for random evolution of multidimensional poisson processes with partial observation; The tail 0field of one dimensional diffusions
Mathematics in industrial problems by
Avner Friedman(
Book
)
49 editions published between 1989 and 1998 in 3 languages and held by 274 WorldCat member libraries worldwide
This is the tenth volume in Avner Friedman's collection of "Mathematics in Industrial Problems". These books aim to foster interaction between industry and mathematics at the "grass roots" level of specific problems. The problems presented in this book arise from models developed by industrial scientists engaged in research and development of new or improved products. The author's sources are affiliated with a variety of industrial enterprises including Motorola, IBM, Ford Motor Company, Eastman Kodak, 3M, AT & T Labs, Honeywell, and SchlumbergerDoll Research. The topics explored in this volume include semiconductor devices and microaccelerometers, computational aeroacoustics, coating flows, coalescence, electrorheological fluids, mass transport in particle loaded beds, metal cutting processes, network traffic analysis, risk management, micromagnetics, and cooling systems. Open problems and references to mathematical literature are incorporated into most of the chapters. The final chapter contains solutions to problems raised in previous parts of the series, Mathematics in Industrial Problems, published in the IMA Volumes in Mathematics and its Applications
49 editions published between 1989 and 1998 in 3 languages and held by 274 WorldCat member libraries worldwide
This is the tenth volume in Avner Friedman's collection of "Mathematics in Industrial Problems". These books aim to foster interaction between industry and mathematics at the "grass roots" level of specific problems. The problems presented in this book arise from models developed by industrial scientists engaged in research and development of new or improved products. The author's sources are affiliated with a variety of industrial enterprises including Motorola, IBM, Ford Motor Company, Eastman Kodak, 3M, AT & T Labs, Honeywell, and SchlumbergerDoll Research. The topics explored in this volume include semiconductor devices and microaccelerometers, computational aeroacoustics, coating flows, coalescence, electrorheological fluids, mass transport in particle loaded beds, metal cutting processes, network traffic analysis, risk management, micromagnetics, and cooling systems. Open problems and references to mathematical literature are incorporated into most of the chapters. The final chapter contains solutions to problems raised in previous parts of the series, Mathematics in Industrial Problems, published in the IMA Volumes in Mathematics and its Applications
Advanced calculus by
Avner Friedman(
Book
)
19 editions published between 1971 and 2007 in English and Undetermined and held by 264 WorldCat member libraries worldwide
Intended for students who have already completed a oneyear course in elementary calculus, this rigorous twopart treatment advances from functions of one variable to those of several variables. Topics include differentiation, multiple integrals, and line and surface integrals. Complete solutions to all problems appear at the end. 1971 edition
19 editions published between 1971 and 2007 in English and Undetermined and held by 264 WorldCat member libraries worldwide
Intended for students who have already completed a oneyear course in elementary calculus, this rigorous twopart treatment advances from functions of one variable to those of several variables. Topics include differentiation, multiple integrals, and line and surface integrals. Complete solutions to all problems appear at the end. 1971 edition
Tutorials in mathematical biosciences by
Avner Friedman(
Book
)
29 editions published between 2005 and 2006 in English and held by 241 WorldCat member libraries worldwide
Introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. This book contains six chapters. It includes overview of the modeling of cell division cycle and a chapter on chemotherapy. It reviews mathematical results for various cancer models
29 editions published between 2005 and 2006 in English and held by 241 WorldCat member libraries worldwide
Introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. This book contains six chapters. It includes overview of the modeling of cell division cycle and a chapter on chemotherapy. It reviews mathematical results for various cancer models
Tutorials in mathematical biosciences by
Avner Friedman(
Book
)
28 editions published between 2007 and 2008 in English and held by 233 WorldCat member libraries worldwide
The book offers an easy introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. The first two chapters review the concept and methodologies of phylogenetic trees; computational schemes and illustrations are given, including applications such as tracing the origin of SARS and influenza. The third chapter introduces the reader to ecological models, including predatorprey models. This chapter includes and introduction to reactiondiffusion equations, which are used to analyze the ecological models. The next chapter reviews a broad range of ongoing research in population dynamics, including evolution of dispersal models; it also features interesting mathematical theorems and lists open problems. The final chapter deals with gene frequencies under the action of migration and selection. The book is addressed to readers at the level of grad students and researchers. A background in PDEs is provided
28 editions published between 2007 and 2008 in English and held by 233 WorldCat member libraries worldwide
The book offers an easy introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. The first two chapters review the concept and methodologies of phylogenetic trees; computational schemes and illustrations are given, including applications such as tracing the origin of SARS and influenza. The third chapter introduces the reader to ecological models, including predatorprey models. This chapter includes and introduction to reactiondiffusion equations, which are used to analyze the ecological models. The next chapter reviews a broad range of ongoing research in population dynamics, including evolution of dispersal models; it also features interesting mathematical theorems and lists open problems. The final chapter deals with gene frequencies under the action of migration and selection. The book is addressed to readers at the level of grad students and researchers. A background in PDEs is provided
Models of cellular regulation by
B Aguda(
Book
)
16 editions published between 2008 and 2012 in English and held by 207 WorldCat member libraries worldwide
"The human genome of three billion letters has been sequenced. So have the genomes of thousands of other organisms. With unprecedented resolution, modern technologies are allowing us to peek into the world of genes, biomolecules, and cells  and flooding us with data of immense complexity that we are just barely beginning to understand. A huge gap separates our knowledge of the components of a cell and what is known from our observations of its physiology. The authors have written this graduate textbook to explore what has been done to close this gap of understanding between the realms of molecules and biological processes. They have gathered together illustrative mechanisms and models of gene regulatory networks, DNA replication, the cell cycle, cell death, differentiation, cell senescence, and the abnormal state of cancer cells. The mechanisms are biomolecular in detail, and the models are mathematical in nature. The interdisciplinary presentation will be of interest to both biologists and mathematicians, and every discipline in between."Jacket
16 editions published between 2008 and 2012 in English and held by 207 WorldCat member libraries worldwide
"The human genome of three billion letters has been sequenced. So have the genomes of thousands of other organisms. With unprecedented resolution, modern technologies are allowing us to peek into the world of genes, biomolecules, and cells  and flooding us with data of immense complexity that we are just barely beginning to understand. A huge gap separates our knowledge of the components of a cell and what is known from our observations of its physiology. The authors have written this graduate textbook to explore what has been done to close this gap of understanding between the realms of molecules and biological processes. They have gathered together illustrative mechanisms and models of gene regulatory networks, DNA replication, the cell cycle, cell death, differentiation, cell senescence, and the abnormal state of cancer cells. The mechanisms are biomolecular in detail, and the models are mathematical in nature. The interdisciplinary presentation will be of interest to both biologists and mathematicians, and every discipline in between."Jacket
Mathematical models in photographic science by
Avner Friedman(
Book
)
12 editions published between 2002 and 2013 in English and held by 95 WorldCat member libraries worldwide
"This book presents mathematical models that arise in current photographic science. The book contains seventeen chapters, each dealing with one area of photographic science. Each chapter, except the two introductory chapters, begins with general background information at a level understandable by graduate and undergraduate students. It then proceeds to develop a mathematical model, using mathematical tools such as ordinary differential equations, partial differential equations, and stochastic processes. Next, some mathematical results are mentioned, often providing a partial solution to problems raised by the model. Finally, most chapters include open research problems as well as exercises for graduate students and advanced undergraduates."Jacket
12 editions published between 2002 and 2013 in English and held by 95 WorldCat member libraries worldwide
"This book presents mathematical models that arise in current photographic science. The book contains seventeen chapters, each dealing with one area of photographic science. Each chapter, except the two introductory chapters, begins with general background information at a level understandable by graduate and undergraduate students. It then proceeds to develop a mathematical model, using mathematical tools such as ordinary differential equations, partial differential equations, and stochastic processes. Next, some mathematical results are mentioned, often providing a partial solution to problems raised by the model. Finally, most chapters include open research problems as well as exercises for graduate students and advanced undergraduates."Jacket
Mathematics in industrial problems by
Avner Friedman(
Book
)
10 editions published in 1991 in 3 languages and held by 61 WorldCat member libraries worldwide
This book presents industrial problems to mathematicians, including the mathematical formulation of the problems. The first twenty chapters of the book include the industrial background, relevant mathematical literature, a list of open mathematical problems and, in some cases, reference to a solution or a partial solution of the problem. Most of the problems, however, are still open and they are addressed to mathematicians. The last chapter of the book contains reference to solutions of problems presented in the previous volume of Mathematics in Industrial Problems, Part 3 published in the IMA series, as volume 31. The topics of the book include semiconductor devices and processing; particles dynamics; polymer chains and electrophoresis; catalytic converter, robotics and CFD in the automobile industry, superconductivity, magnetic storage devices, signal processing, and experimental design. The book will be of interest to mathematicians seeking to work on mathematical problems which arise in industry. It will also be of interest to mathematicians and scientists who would like to learn about the interaction between mathematics and industry, what type of problems arise, how they are modeled, etc. Scientists working in industry may also be interested in the book as they discover that some of the topics dealt with are connected to their own work
10 editions published in 1991 in 3 languages and held by 61 WorldCat member libraries worldwide
This book presents industrial problems to mathematicians, including the mathematical formulation of the problems. The first twenty chapters of the book include the industrial background, relevant mathematical literature, a list of open mathematical problems and, in some cases, reference to a solution or a partial solution of the problem. Most of the problems, however, are still open and they are addressed to mathematicians. The last chapter of the book contains reference to solutions of problems presented in the previous volume of Mathematics in Industrial Problems, Part 3 published in the IMA series, as volume 31. The topics of the book include semiconductor devices and processing; particles dynamics; polymer chains and electrophoresis; catalytic converter, robotics and CFD in the automobile industry, superconductivity, magnetic storage devices, signal processing, and experimental design. The book will be of interest to mathematicians seeking to work on mathematical problems which arise in industry. It will also be of interest to mathematicians and scientists who would like to learn about the interaction between mathematics and industry, what type of problems arise, how they are modeled, etc. Scientists working in industry may also be interested in the book as they discover that some of the topics dealt with are connected to their own work
Mathematical modeling of biological processes by
Avner Friedman(
Book
)
11 editions published in 2014 in English and held by 24 WorldCat member libraries worldwide
This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis
11 editions published in 2014 in English and held by 24 WorldCat member libraries worldwide
This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis
Mathematical foundations of highperformance computing and communications by
National Research Council (U.S.)(
Book
)
2 editions published in 1991 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 7 WorldCat member libraries worldwide
Introduction to mathematical biology by Ching Shan Chou(
Book
)
4 editions published in 2016 in English and held by 1 WorldCat member library worldwide
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, predatorprey 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 and biomedical 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
4 editions published in 2016 in English and held by 1 WorldCat member library worldwide
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, predatorprey 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 and biomedical 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
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Related Identities
 National Science Foundation (U.S.)
 National Research Council (U.S.). Board on Mathematical Sciences
 National Research Council (U.S.). Panel on the Mathematical Sciences in HighPerformance Computing and Communications
 Aguda, B. (Baltazar) Author Creator
 Cosner, Chris Creator
 Littman, Walter
 Pinsky, Mark A. 1940 Editor
 Conference Board of the Mathematical Sciences
 Kao, ChiuYen
 Spruck, Joel Editor
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Associated Subjects
Biological models BiologyMathematical models Biomathematics Boundary value problems Calculus Calculus of variations Cancer cells Cell cycle Cell physiology Cell proliferation Cellular control mechanisms Chemical engineering Chemistry Chemistry, Inorganic ChemistryMathematics Computer scienceMathematics Difference equations Differential equations Differential equations, Parabolic Differential equations, Partial Differential games EcologyMathematical models Engineering Engineering mathematics Evolution (Biology)Mathematical models Fourier analysis Functional analysis Functional equations Functions of real variables Gene regulatory networks Geography Industrial engineeringMathematics Integral equations Mathematical analysis Mathematical analysisFoundations Mathematical optimization Mathematical physics Mathematics MathematicsIndustrial applications MathematicsResearch Photographic chemistry Photography Physics PhysiologyMathematics Population geneticsMathematical models Stochastic analysis SupercomputersResearch Theory of distributions (Functional analysis) United States Variational principles
Alternative Names
Avner Friedman Amerikaans wiskundige
Avner Friedman amerikansk matematikar
Avner Friedman amerikansk matematiker
Avner Friedman israelischUSamerikanischer Mathematiker
Fridman, A.
Fridman, Avner.
Fridman, Avner 1932
Friedman, A.
Фридман, А..
Фридман, А. (Авнер)
אבנר פרידמן
פרידמן, אבנר
Languages
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