WorldCat Identities

Friedman, Avner

Works: 241 works in 907 publications in 5 languages and 11,983 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Creator, Honoree, Composer
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 860 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 N-person 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 self-study, 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 716 WorldCat member libraries worldwide

Stochastic differential equations and applications by Avner Friedman( Book )

36 editions published between 1975 and 2006 in 3 languages and held by 626 WorldCat member libraries worldwide

Stochastic processes; Markov processes; Brownian motion; The stochastic integral; Stochastic differential equations; The Cameron-Martin-Girsanov 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
Generalized functions and partial differential equations by Avner Friedman( Book )

31 editions published between 1963 and 2011 in English and Undetermined and held by 604 WorldCat member libraries worldwide

2. Auxiliary theorems on functions of matrices3. Uniqueness of solutions of the Cauchy problem; 4. Existence of generalized solutions; 5. Lemmas on convolutions; 6. Existence theorems for parabolic systems; 7. An existence theorem for hyperbolic systems; 8. Existence theorems for correctly posed systems; 9. Existence theorems for mildly incorrectly posed systems; 10. An existence theorem for incorrectly posed systems; 11. Nonhomogeneous systems with time-dependent coefficients; 12. Systems of convolution equations; 13. Difference-differential equations; 14. Inverse theorems
Partial differential equations by Avner Friedman( Book )

44 editions published between 1969 and 2011 in English and Undetermined and held by 602 WorldCat member libraries worldwide

This three-part treatment of partial differential equations focuses on elliptic and evolution equations. Largely self-contained, it concludes with a series of independent topics directly related to the methods and results of the preceding sections that helps introduce readers to advanced topics for further study. Geared toward graduate and postgraduate students of mathematics, this volume also constitutes a valuable reference for mathematicians and mathematical theorists. Starting with the theory of elliptic equations and the solution of the Dirichlet problem, the text develops the theory of weak derivatives, proves various inequalities and imbedding problems, and derives smoothness theorems. Part Two concerns evolution equations in Banach space and develops the theory of semigroups. It solves the initial-boundary value problem for parabolic equations and covers backward uniqueness, asymptotic behavior, and lower bounds at infinity. The final section includes independent topics directly related to the methods and results of the previous material, including the analyticity of solutions of elliptic and parabolic equations, asymptotic behavior of solutions of elliptic equations near infinity, and problems in the theory of control in Banach space
Partial differential equations of parabolic type by Avner Friedman( Book )

40 editions published between 1964 and 2013 in 3 languages and held by 547 WorldCat member libraries worldwide

This accessible and self-contained 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, semi-linear 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 )

16 editions published between 1988 and 1995 in English and held by 504 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 - Head-media 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 multi-user 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 free-boundary problems by Avner Friedman( Book )

23 editions published between 1982 and 2010 in English and Italian and held by 476 WorldCat member libraries worldwide

Industrial mathematics : a course in solving real-world problems by Avner Friedman( Book )

26 editions published between 1993 and 1995 in English and Palauan and held by 475 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 two-year basic Calculus sequence. A working knowledge of Fortran, Pascal, or C language is required
Stochastic analysis : proceedings of the International Conference on Stochastic Analysis, April 10-14, 1978, Northwestern University, Evanston, Illinois by Avner Friedman( Book )

22 editions published in 1978 in English and Undetermined and held by 331 WorldCat member libraries worldwide

Optimal stopping in a reliability problem; On the Hamilton-Jacobi 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 measure-valued population processes; Optimal stopping for random evolution of multidimensional poisson processes with partial observation; The tail 0-field 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 two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year 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 )

29 editions published between 2005 and 2006 in English and Undetermined and held by 240 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 )

26 editions published between 2007 and 2008 in English and held by 223 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 predator-prey models. This chapter includes and introduction to reaction-diffusion 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 206 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 )

14 editions published between 1993 and 1994 in English and held by 204 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, Hele-Shaw cells, crystal growth, variational formulation of computer vision models, magneto-hydrodynamics, 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
Mathematics in industrial problems by Avner Friedman( Book )

15 editions published in 1997 in English and German and held by 58 WorldCat member libraries worldwide

This is the eighth volume in the series "Mathematics in Industrial Prob lems." The motivation for these volumes is to foster interaction between Industry and Mathematics at the "grass roots level"; that is, at the level of specific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufacture of new or improved products. At the same time, these prob lems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The book is based on the seminar presentations and on questions raised in subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chapters usually provide references to the mathematical literature and a list of open problems that are of interest to industrial scientists. For some problems, a partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in the previous volume, as well as references to papers in which such solutions have been published
Mathematical modeling of biological processes by Avner Friedman( Book )

14 editions published in 2014 in English and Undetermined and held by 27 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
Introduction to mathematical biology by Ching Shan Chou( Book )

10 editions published in 2016 in English and held by 9 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, 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 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 ℓ́ℓ 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background
Mathematical foundations of high-performance 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

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Industrial mathematics : a course in solving real-world problems
Alternative Names
Avner Friedman Amerikaans wiskundige

Avner Friedman amerikansk matematikar

Avner Friedman amerikansk matematiker

Avner Friedman israelisch-US-amerikanischer 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

Foundations of modern analysisStochastic differential equations and applicationsGeneralized functions and partial differential equationsPartial differential equationsPartial differential equations of parabolic typeMathematics in industrial problemsVariational principles and free-boundary problemsIndustrial mathematics : a course in solving real-world problems