Lax, Peter D.
Overview
Works:  189 works in 749 publications in 4 languages and 10,409 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Dedicatee, Other, Contributor, Author of introduction, Interviewee, Artist, pre 
Classifications:  QA3, 515 
Publication Timeline
.
Most widely held works about
Peter D Lax
 Peter Lax, mathematician : an illustrated memoir by Reuben Hersh( Book )
 Wave motion : theory, modelling, and compution = Proceedingss of a conference in honor of the 60th birthday of Peter D. Lax( Book )
 Selected papers by Peter D Lax( Book )
 On inverse scattering for the wave equation with a potential term via the LaxPhillips theory : a simple proof by Gustavo Perla Menzala( Book )
 Lax, Peter D( )
 Selected papers by Peter D Lax( Book )
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Most widely held works by
Peter D Lax
Scattering theory by
Peter D Lax(
Book
)
44 editions published between 1967 and 1990 in 3 languages and held by 1,141 WorldCat member libraries worldwide
This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors
44 editions published between 1967 and 1990 in 3 languages and held by 1,141 WorldCat member libraries worldwide
This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors
Calculus with applications and computing by
Peter D Lax(
Book
)
79 editions published between 1972 and 2014 in 5 languages and held by 1,101 WorldCat member libraries worldwide
This new edition of Lax, Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than pointwise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complexvalued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory
79 editions published between 1972 and 2014 in 5 languages and held by 1,101 WorldCat member libraries worldwide
This new edition of Lax, Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than pointwise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complexvalued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory
Scattering theory for automorphic functions by
Peter D Lax(
Book
)
22 editions published between 1974 and 2016 in English and held by 676 WorldCat member libraries worldwide
The application by Fadeev and Pavlov of the LaxPhillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the LaplaceBeltrami operator over fundamental domains of finite area; the meromorphic character over the whole complex plane of the Eisenstein series; and the Selberg trace formula. CONTENTS: 1. Introduction. 2. An abstract scattering theory. 3. A modified theory for second order equations with an indefinite energy form. 4. The LaplaceBeltrami operator for the modular group. 5. The automorphic wave equation. 6. Incoming and outgoing subspaces for the automorphic wave equations. 7. The scattering matrix for the automorphic wave equation. 8. The general case. 9. The Selberg trace formula
22 editions published between 1974 and 2016 in English and held by 676 WorldCat member libraries worldwide
The application by Fadeev and Pavlov of the LaxPhillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the LaplaceBeltrami operator over fundamental domains of finite area; the meromorphic character over the whole complex plane of the Eisenstein series; and the Selberg trace formula. CONTENTS: 1. Introduction. 2. An abstract scattering theory. 3. A modified theory for second order equations with an indefinite energy form. 4. The LaplaceBeltrami operator for the modular group. 5. The automorphic wave equation. 6. Incoming and outgoing subspaces for the automorphic wave equations. 7. The scattering matrix for the automorphic wave equation. 8. The general case. 9. The Selberg trace formula
Functional analysis by
Peter D Lax(
Book
)
20 editions published between 1459 and 2014 in English and held by 568 WorldCat member libraries worldwide
This advanced text on functional analysis is aimed at graduate students of functional analysis and professional mathematicians working in the fields of functional analysis and applied mathematics
20 editions published between 1459 and 2014 in English and held by 568 WorldCat member libraries worldwide
This advanced text on functional analysis is aimed at graduate students of functional analysis and professional mathematicians working in the fields of functional analysis and applied mathematics
Selected papers by
Peter D Lax(
)
27 editions published between 2004 and 2013 in English and Undetermined and held by 495 WorldCat member libraries worldwide
Covers various varying topics, from functional analysis, partial differential equations, and numerical methods to conservation laws, integrable systems and scattering theory
27 editions published between 2004 and 2013 in English and Undetermined and held by 495 WorldCat member libraries worldwide
Covers various varying topics, from functional analysis, partial differential equations, and numerical methods to conservation laws, integrable systems and scattering theory
Hyperbolic systems of conservation laws and the mathematical theory of shock waves by
Peter D Lax(
Book
)
16 editions published between 1973 and 1990 in English and held by 457 WorldCat member libraries worldwide
This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown
16 editions published between 1973 and 1990 in English and held by 457 WorldCat member libraries worldwide
This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown
Linear algebra by
Peter D Lax(
Book
)
16 editions published between 1991 and 2004 in English and Undetermined and held by 396 WorldCat member libraries worldwide
This introduction to linear algebra by world renowned mathematician Peter Lax is unique in its emphasis on the analytical aspects of the subject as well as its numerous applications. The book grew out of Dr. Lax's course notes for the linear algebra classes he teaches at New York University. Geared to graduate students as well as advanced undergraduates, it assumes only limited knowledge of linear algebra and avoids subjects already heavily treated in other textbooks. And while it discusses linear equations, matrices, determinants, and vector spaces, it also includes a number of exciting topics that are not covered elsewhere, such as eigenvalues, the HahnBanach theorem, geometry, game theory, and numerical analysis. Clear, concise, and superbly organized. Linear Algebra is an excellent text for advanced undergraduate and graduate courses and also serves as a handy professional reference
16 editions published between 1991 and 2004 in English and Undetermined and held by 396 WorldCat member libraries worldwide
This introduction to linear algebra by world renowned mathematician Peter Lax is unique in its emphasis on the analytical aspects of the subject as well as its numerous applications. The book grew out of Dr. Lax's course notes for the linear algebra classes he teaches at New York University. Geared to graduate students as well as advanced undergraduates, it assumes only limited knowledge of linear algebra and avoids subjects already heavily treated in other textbooks. And while it discusses linear equations, matrices, determinants, and vector spaces, it also includes a number of exciting topics that are not covered elsewhere, such as eigenvalues, the HahnBanach theorem, geometry, game theory, and numerical analysis. Clear, concise, and superbly organized. Linear Algebra is an excellent text for advanced undergraduate and graduate courses and also serves as a handy professional reference
Nonlinear partial differential equations in applied science : proceedings of the U.S.Japan seminar, Tokyo, 1982 by H Fujita(
Book
)
14 editions published between 1983 and 2000 in English and held by 389 WorldCat member libraries worldwide
Nonlinear Partial Differential Equations in Applied Science
14 editions published between 1983 and 2000 in English and held by 389 WorldCat member libraries worldwide
Nonlinear Partial Differential Equations in Applied Science
Linear algebra and its applications by
Peter D Lax(
Book
)
26 editions published between 2007 and 2015 in English and Japanese and held by 369 WorldCat member libraries worldwide
"Linear Algebra and its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features studentfriendly additions that enhance the book's accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems." Book Jacket
26 editions published between 2007 and 2015 in English and Japanese and held by 369 WorldCat member libraries worldwide
"Linear Algebra and its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features studentfriendly additions that enhance the book's accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems." Book Jacket
Advances in Deterministic and Stochastic Analysis by
2005, Quy Nhon) International Conference on Abstract and Applied Analysis (2(
)
3 editions published in 2007 in English and held by 362 WorldCat member libraries worldwide
This volume collects articles in pure and applied analysis, partial differential equations, geometric analysis and stochastic and infinitedimensional analysis. In particular, the contributors discuss integral and pseudodifferential operators, which play an important role in partial differential equations. Other methods of solving the partial differential equations are considered, such as the minmax approach to variational problems and boundary value problems. The foundations of quantum mechanics from the viewpoints of infinitedimensional spaces and Bell's inequality and contraction are als
3 editions published in 2007 in English and held by 362 WorldCat member libraries worldwide
This volume collects articles in pure and applied analysis, partial differential equations, geometric analysis and stochastic and infinitedimensional analysis. In particular, the contributors discuss integral and pseudodifferential operators, which play an important role in partial differential equations. Other methods of solving the partial differential equations are considered, such as the minmax approach to variational problems and boundary value problems. The foundations of quantum mechanics from the viewpoints of infinitedimensional spaces and Bell's inequality and contraction are als
Mathematical aspects of production and distribution of energy : [proceedings of the Symposium in Applied Mathematics of the
American Mathematical Society, held in San Antonio, Texas, January 2021, 1976] by
Peter D Lax(
Book
)
18 editions published between 1977 and 2000 in English and Undetermined and held by 334 WorldCat member libraries worldwide
18 editions published between 1977 and 2000 in English and Undetermined and held by 334 WorldCat member libraries worldwide
Hyperbolic partial differential equations by
Peter D Lax(
Book
)
10 editions published in 2006 in English and held by 328 WorldCat member libraries worldwide
The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a secondyear graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of solutions of equations with constant coefficients is explored with the help of the Fourier and Radon transforms. The existence of solutions of equations with variable coefficients with prescribed initial values is proved using energy inequalities. The propagation of singularities is studied with the help of progressing waves. The second part describes finite difference approximations of hyperbolic equations, presents a streamlined version of the LaxPhillips scattering theory, and covers basic concepts and results for hyperbolic systems of conservation laws, an active research area today. Four brief appendices sketch topics that are important or amusing, such as Huygens' principle and a theory of mixed initial and boundary value problems. A fifth appendix by Cathleen Morawetz describes a nonstandard energy identity and its uses.  Back cover
10 editions published in 2006 in English and held by 328 WorldCat member libraries worldwide
The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a secondyear graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of solutions of equations with constant coefficients is explored with the help of the Fourier and Radon transforms. The existence of solutions of equations with variable coefficients with prescribed initial values is proved using energy inequalities. The propagation of singularities is studied with the help of progressing waves. The second part describes finite difference approximations of hyperbolic equations, presents a streamlined version of the LaxPhillips scattering theory, and covers basic concepts and results for hyperbolic systems of conservation laws, an active research area today. Four brief appendices sketch topics that are important or amusing, such as Huygens' principle and a theory of mixed initial and boundary value problems. A fifth appendix by Cathleen Morawetz describes a nonstandard energy identity and its uses.  Back cover
Differential equations : La Pietra 1996 : Conference on Differential Equations marking the 70th birthdays of Peter Lax and
Louis Nirenberg, July 37, 1996, Villa La Pietra, Florence, Italy by
Conference on Differential Equations(
Book
)
11 editions published between 1998 and 2012 in English and held by 308 WorldCat member libraries worldwide
11 editions published between 1998 and 2012 in English and held by 308 WorldCat member libraries worldwide
Recent advances in partial differential equations, Venice 1996 : proceedings of a conference in honor of the 70th birthdays
of Peter D. Lax and Louis Nirenberg : June 1014, 1996, Venice, Italy by
Renato Spigler(
Book
)
6 editions published between 1997 and 1998 in English and held by 288 WorldCat member libraries worldwide
6 editions published between 1997 and 1998 in English and held by 288 WorldCat member libraries worldwide
Partial differential equations. [Lecture] notes by
Peter D Lax(
Book
)
46 editions published between 1900 and 1963 in 3 languages and held by 285 WorldCat member libraries worldwide
46 editions published between 1900 and 1963 in 3 languages and held by 285 WorldCat member libraries worldwide
Recent advances in nonlinear partial differential equations and applications : conference in honor of Peter D. Lax and Louis
Nirenberg on their 80th birthdays, June 710, 2006, Universidad de CastillaLa Mancha at Palacio Lorenzana, Toledo, Spain(
Book
)
12 editions published in 2007 in English and held by 276 WorldCat member libraries worldwide
12 editions published in 2007 in English and held by 276 WorldCat member libraries worldwide
Selected papers by
Peter D Lax(
)
11 editions published between 2004 and 2013 in English and Undetermined and held by 273 WorldCat member libraries worldwide
11 editions published between 2004 and 2013 in English and Undetermined and held by 273 WorldCat member libraries worldwide
Wave motion : theory, modelling, and computation : proceedings of a conference in honor of the 60th birthday of Peter D. Lax by
Alexandre Joel Chorin(
Book
)
12 editions published in 1987 in English and held by 273 WorldCat member libraries worldwide
The 60th birthday of Peter Lax was celebrated at Berkeley by a conference entitled Wave Motion: theory, application and computation held at the mathematical Sciences Research Institute, June 912, 1986. Peter Lax has made profound and essential contributions to the topics described by the title of the conference, and has also contributed in important ways to many other mathematical subjects, and as a result this conference volume dedicated to him includes research work on a variety of topics, not all clearly related to its title
12 editions published in 1987 in English and held by 273 WorldCat member libraries worldwide
The 60th birthday of Peter Lax was celebrated at Berkeley by a conference entitled Wave Motion: theory, application and computation held at the mathematical Sciences Research Institute, June 912, 1986. Peter Lax has made profound and essential contributions to the topics described by the title of the conference, and has also contributed in important ways to many other mathematical subjects, and as a result this conference volume dedicated to him includes research work on a variety of topics, not all clearly related to its title
Complex proofs of real theorems by
Peter D Lax(
Book
)
16 editions published between 2011 and 2017 in English and held by 267 WorldCat member libraries worldwide
Complex Proofs of Real Theorems is an extended meditation on Hadamard's famous dictum, ""The shortest and best way between two truths of the real domain often passes through the imaginary one."" Directed at an audience acquainted with analysis at the first year graduate level, it aims at illustrating how complex variables can be used to provide quick and efficient proofs of a wide variety of important results in such areas of analysis as approximation theory, operator theory, harmonic analysis, and complex dynamics. Topics discussed include weighted approximation on the line, Müntz's theorem
16 editions published between 2011 and 2017 in English and held by 267 WorldCat member libraries worldwide
Complex Proofs of Real Theorems is an extended meditation on Hadamard's famous dictum, ""The shortest and best way between two truths of the real domain often passes through the imaginary one."" Directed at an audience acquainted with analysis at the first year graduate level, it aims at illustrating how complex variables can be used to provide quick and efficient proofs of a wide variety of important results in such areas of analysis as approximation theory, operator theory, harmonic analysis, and complex dynamics. Topics discussed include weighted approximation on the line, Müntz's theorem
Decay of solutions of systems of nonlinear hyperbolic conservation laws by
James Glimm(
Book
)
10 editions published in 1970 in English and held by 263 WorldCat member libraries worldwide
This paper studies coupled systems of nonlinear conservation equations. The paper is divided into five long and rather difficult sections. The authors provide an instructive preface at the beginning which must be read before one attempts the main body. The major contribution in this paper is the observation that interaction of waves usually causes some cancellation of waves. Thus, the nonlinearity of the characteristic speeds causes shocks and rarefaction waves of the same family to interact with each other and thereby to cancel each other out. This qualitative observation must be made quantitative, and this is done in Section 4
10 editions published in 1970 in English and held by 263 WorldCat member libraries worldwide
This paper studies coupled systems of nonlinear conservation equations. The paper is divided into five long and rather difficult sections. The authors provide an instructive preface at the beginning which must be read before one attempts the main body. The major contribution in this paper is the observation that interaction of waves usually causes some cancellation of waves. Thus, the nonlinearity of the characteristic speeds causes shocks and rarefaction waves of the same family to interact with each other and thereby to cancel each other out. This qualitative observation must be made quantitative, and this is done in Section 4
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Audience Level
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Related Identities
 Phillips, Ralph S. (Ralph Saul) 1913 Contributor Editor
 Majda, Andrew 1949 Editor
 Nirenberg, L. Other Honoree Dedicatee
 Sarnak, Peter Editor
 Lax, Anneli Contributor
 Burstein, Samuel Z.
 Terrell, Maria Shea Other
 Society for Industrial and Applied Mathematics
 American Mathematical Society Publisher Producer
 Strang, Gilbert Editor
Useful Links
Associated Subjects
Algebra Algebras, Linear Approximation theory Automorphic functions Calculus Conservation laws (Mathematics) Conservation laws (Physics) Deterministic chaos Differentiable dynamical systems Differential equations Differential equations, Hyperbolic Differential equations, HyperbolicNumerical solutions Differential equations, Nonlinear Differential equations, Partial Differential equations, PartialNumerical solutions Fluid mechanics Functional analysis Functional equations Functions of complex variables Global analysis (Mathematics) Harmonic analysis Hyperbola Lax, Peter D Mathematical optimization Mathematicians Mathematics MathematicsStudy and teaching Nuclear engineeringMathematical models Phillips, Ralph S.(Ralph Saul), Physics Power resourcesMathematical models Scattering (Mathematics) Shock waves Stochastic analysis United States Wavemotion, Theory of
Covers
Alternative Names
Laks, Piter D.
Laks, Piter D. 1926
Lax, P. 1926
Lax, P. D.
Lax, P. D. 1926
Lax, P. D. (Peter David), 1926
Lax, P. (Peter), 1926
Lax, Peter.
Lax, Peter 1926
Lax, Peter D.
Lax, Peter D. 1926
Lax, Peter David
Lax, Peter David 1926
Laxi Peter
Peter D. Lax
Peter David Lax
Peter David Lax matematico statunitense
Peter Lax American mathematician
Peter Lax Hongaars wiskundige
Peter Lax matemàtic estatunidenc
Peter Lax matemático estadounidense
Peter Lax ungarischer Mathematiker
Peter Lax ungarsk matematikar
Peter Lax ungarsk matematiker
Peter Lax ungersk matematiker
Péter Lax usona matematikisto
Лакс Питер Д.
Питер Лакс венгерский и американский математик
פיטר לקס מתמטיקאי אמריקאי
بيتر لاكس
بيتر لاكس رياضياتي أمريكي
پیتر لاکس ریاضیدان اهل مجارستان
럭스 페테르
ピーター・ラックス
ラックス, P
ラックス, P. D.
彼得·拉克斯
Languages