Friedman, Avner
Overview
Works:  240 works in 895 publications in 5 languages and 12,013 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Creator, Honoree, Composer 
Classifications:  QA377, 515 
Publication Timeline
.
Most widely held works by
Avner Friedman
Differential games by
Avner Friedman(
Book
)
41 editions published between 1971 and 2013 in English and held by 864 WorldCat member libraries worldwide
This volume lays the mathematical foundations for the theory of differential games, developing a rigorous mathematical framework with existence theorems. It begins with a precise definition of a differential game and advances to considerations of games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, and games with restricted phase coordinates. Final chapters cover selected topics (including capturability and games with delayed information) and Nperson games. Geared toward graduate students, Differential Games will be of particular interest to professionals in the fields of electrical engineering, industrial engineering, economics, and mathematics. Although intended primarily for selfstudy, it can be used as a core or ancillary text in courses in differential games, game theory, and control theory
41 editions published between 1971 and 2013 in English and held by 864 WorldCat member libraries worldwide
This volume lays the mathematical foundations for the theory of differential games, developing a rigorous mathematical framework with existence theorems. It begins with a precise definition of a differential game and advances to considerations of games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, and games with restricted phase coordinates. Final chapters cover selected topics (including capturability and games with delayed information) and Nperson games. Geared toward graduate students, Differential Games will be of particular interest to professionals in the fields of electrical engineering, industrial engineering, economics, and mathematics. Although intended primarily for selfstudy, it can be used as a core or ancillary text in courses in differential games, game theory, and control theory
Foundations of modern analysis by
Avner Friedman(
Book
)
31 editions published between 1970 and 2013 in English and held by 717 WorldCat member libraries worldwide
31 editions published between 1970 and 2013 in English and held by 717 WorldCat member libraries worldwide
Stochastic differential equations and applications by
Avner Friedman(
Book
)
39 editions published between 1975 and 2006 in 3 languages and held by 635 WorldCat member libraries worldwide
Stochastic processes; Markov processes; Brownian motion; The stochastic integral; Stochastic differential equations; The CameronMartinGirsanov theorem; Asymptotic estimates for solutions; Recurrent and translent solutions; Auxiliary results in partial differential equations; Nonattainability; Stability and spiraling of solutions; The dirichlet problem for degenerate elliptic equations; Small random perturbations by dynamical systems; Fundamental solutions for degenerate parabolic equations; Stopping time problems and stochastic games; Stochastic differential games
39 editions published between 1975 and 2006 in 3 languages and held by 635 WorldCat member libraries worldwide
Stochastic processes; Markov processes; Brownian motion; The stochastic integral; Stochastic differential equations; The CameronMartinGirsanov theorem; Asymptotic estimates for solutions; Recurrent and translent solutions; Auxiliary results in partial differential equations; Nonattainability; Stability and spiraling of solutions; The dirichlet problem for degenerate elliptic equations; Small random perturbations by dynamical systems; Fundamental solutions for degenerate parabolic equations; Stopping time problems and stochastic games; Stochastic differential games
Partial differential equations by
Avner Friedman(
Book
)
43 editions published between 1969 and 2011 in English and Undetermined and held by 602 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)
43 editions published between 1969 and 2011 in English and Undetermined and held by 602 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)
Generalized functions and partial differential equations by
Avner Friedman(
Book
)
31 editions published between 1963 and 2011 in English and Undetermined and held by 601 WorldCat member libraries worldwide
This selfcontained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations. A major portion of the text is based on material included in the books of L. Schwartz, who developed the theory of distributions, and in the books of Gelfand and Shilov, who deal with generalized functions of any class and their use in solving the Cauchy problem. In addition, the author provides applications developed through his own research.Geared toward upperlevel undergraduates and
31 editions published between 1963 and 2011 in English and Undetermined and held by 601 WorldCat member libraries worldwide
This selfcontained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations. A major portion of the text is based on material included in the books of L. Schwartz, who developed the theory of distributions, and in the books of Gelfand and Shilov, who deal with generalized functions of any class and their use in solving the Cauchy problem. In addition, the author provides applications developed through his own research.Geared toward upperlevel undergraduates and
Partial differential equations of parabolic type by
Avner Friedman(
Book
)
38 editions published between 1964 and 2013 in 3 languages and held by 543 WorldCat member libraries worldwide
This accessible and selfcontained treatment provides even readers previously unacquainted with parabolic and elliptic equations with sufficient background to understand research literature. Author Avner Friedman  Director of the Mathematical Biosciences Institute at The Ohio State University  offers a systematic and thorough approach that begins with the main facts of the general theory of second order linear parabolic equations. Subsequent chapters explore asymptotic behavior of solutions, semilinear equations and free boundary problems, and the extension of results concerning fundamental solutions and the Cauchy problem to systems of parabolic equations. The final chapter concerns questions of existence and uniqueness for the first boundary value problem and the differentiability of solutions, in terms of both elliptic and parabolic equations. The text concludes with an appendix on nonlinear equations and bibliographies of related works
38 editions published between 1964 and 2013 in 3 languages and held by 543 WorldCat member libraries worldwide
This accessible and selfcontained treatment provides even readers previously unacquainted with parabolic and elliptic equations with sufficient background to understand research literature. Author Avner Friedman  Director of the Mathematical Biosciences Institute at The Ohio State University  offers a systematic and thorough approach that begins with the main facts of the general theory of second order linear parabolic equations. Subsequent chapters explore asymptotic behavior of solutions, semilinear equations and free boundary problems, and the extension of results concerning fundamental solutions and the Cauchy problem to systems of parabolic equations. The final chapter concerns questions of existence and uniqueness for the first boundary value problem and the differentiability of solutions, in terms of both elliptic and parabolic equations. The text concludes with an appendix on nonlinear equations and bibliographies of related works
Mathematics in industrial problems by
Avner Friedman(
Book
)
15 editions published between 1988 and 1995 in English and held by 503 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
15 editions published between 1988 and 1995 in English and held by 503 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
Industrial mathematics : a course in solving realworld problems by
Avner Friedman(
Book
)
27 editions published between 1993 and 1995 in English and Palauan and held by 471 WorldCat member libraries worldwide
Computer Applications  Physical Sciences and Engineering
27 editions published between 1993 and 1995 in English and Palauan and held by 471 WorldCat member libraries worldwide
Computer Applications  Physical Sciences and Engineering
Variational principles and freeboundary problems by
Avner Friedman(
Book
)
23 editions published between 1982 and 2010 in English and Italian and held by 470 WorldCat member libraries worldwide
23 editions published between 1982 and 2010 in English and Italian and held by 470 WorldCat member libraries worldwide
Stochastic analysis : proceedings of the International Conference on Stochastic Analysis, April 1014, 1978, Northwestern
University, Evanston, Illinois by
Avner Friedman(
Book
)
21 editions published in 1978 in English and Undetermined and held by 334 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 334 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
Advanced calculus by
Avner Friedman(
Book
)
20 editions published between 1971 and 2012 in English and Undetermined and held by 263 WorldCat member libraries worldwide
This rigorous twopart treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a oneyear course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments. The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end of the text
20 editions published between 1971 and 2012 in English and Undetermined and held by 263 WorldCat member libraries worldwide
This rigorous twopart treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a oneyear course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments. The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end of the text
Tutorials in mathematical biosciences by
Avner Friedman(
Book
)
28 editions published between 2005 and 2006 in English and held by 235 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
28 editions published between 2005 and 2006 in English and held by 235 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
)
27 editions published between 2007 and 2008 in English and held by 224 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
27 editions published between 2007 and 2008 in English and held by 224 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
)
17 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
17 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
Variational and free boundary problems by
Avner Friedman(
Book
)
12 editions published between 1993 and 1994 in English and held by 200 WorldCat member libraries worldwide
This volume contains articles based on recent research in Variational and Free Boundary Problems collected by the Institute for Mathematics and its Applications. The collection as a whole concentrates on novel applications of variational methods to applied problems. The book provides a wide cross section of current research in far growing areas. The articles are based on models which arise in phase transitions, in elastic/ plastic contact problems, HeleShaw cells, crystal growth, variational formulation of computer vision models, magnetohydrodynamics, bubble growth, hydrodynamics (jets and cavities), and in stochastic control and economics. They present mathematical methods which can be further extended and developed for other models. The book should be of interest both to mathematicians and to engineers who are working with mathematical models
12 editions published between 1993 and 1994 in English and held by 200 WorldCat member libraries worldwide
This volume contains articles based on recent research in Variational and Free Boundary Problems collected by the Institute for Mathematics and its Applications. The collection as a whole concentrates on novel applications of variational methods to applied problems. The book provides a wide cross section of current research in far growing areas. The articles are based on models which arise in phase transitions, in elastic/ plastic contact problems, HeleShaw cells, crystal growth, variational formulation of computer vision models, magnetohydrodynamics, bubble growth, hydrodynamics (jets and cavities), and in stochastic control and economics. They present mathematical methods which can be further extended and developed for other models. The book should be of interest both to mathematicians and to engineers who are working with mathematical models
Mathematical models in photographic science by
Avner Friedman(
Book
)
13 editions published between 2002 and 2013 in English and held by 99 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
13 editions published between 2002 and 2013 in English and held by 99 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
)
18 editions published between 1989 and 1998 in English and held by 69 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
18 editions published between 1989 and 1998 in English and held by 69 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
Mathematical modeling of biological processes by
Avner Friedman(
Book
)
12 editions published in 2014 in English and held by 25 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. Provided by publisher
12 editions published in 2014 in English and held by 25 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. Provided by publisher
Mathematical foundations of highperformance computing and communications by
National Research Council (U.S.)(
Book
)
2 editions published in 1991 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 6 WorldCat member libraries worldwide
Introduction to mathematical biology by
Ching Shan Chou(
Book
)
8 editions published in 2016 in English and held by 6 WorldCat member libraries 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.Résumé de l'éditeur
8 editions published in 2016 in English and held by 6 WorldCat member libraries 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.Résumé de l'éditeur
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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
 Kao, ChiuYen
 Conference Board of the Mathematical Sciences Other
 Spruck, Joel Editor
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Associated Subjects
Analytic functions Biological models Biological systems BiologyMathematical models Biomathematics Biophysics 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 Differential equations Differential equations, Parabolic Differential equations, Partial Differential games EcologyMathematical models Engineering Engineering mathematics Evolution (Biology)Mathematical models Functional analysis Gene regulatory networks Mathematical analysisFoundations Mathematical optimization Mathematical physics Mathematics MathematicsIndustrial applications MathematicsResearch Photographic chemistry Photography Physics PhysiologyMathematics Population geneticsMathematical models Stochastic analysis Stochastic differential equations Stochastic differential equationsNumerical solutions SupercomputersResearch Surfaces (Physics) Systems biology 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
Avner Friedman matemático estadounidense
Avner Friedman matematico statunitense
Avner Friedman mathématicien américain
Fridman, A.
Fridman, Avner.
Fridman, Avner 1932
Friedman, A.
Фридман, А..
Фридман, А. (Авнер)
אבנר פרידמן
אבנר פרידמן מתמטיקאי אמריקאי
פרידמן, אבנר
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