Background
Lax, Peter David was born on May 1, 1926 in Budapest, Hungary. Son of Henry and Klara (Kornfeld) Lax. came to the United States, 1941, naturalized, 1944.
( The application by Fadeev and Pavlov of the Lax-Phillip...)
The application by Fadeev and Pavlov of the Lax-Phillips 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 Laplace-Beltrami 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 Laplace-Beltrami 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.
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(This revised edition of a classic book, which established...)
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.
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(Praise for the First Edition ". . .recommended for the...)
Praise for the First Edition ". . .recommended for the teacher and researcher as well as for graduate students. In fact, it has a place on every mathematician's bookshelf." -American Mathematical Monthly 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 student-friendly additions that enhance the book's accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finite dimensional vector spaces, and subsequent chapters address convexity and the duality theorem as well as describe the basics of normed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect the most up-to-date coverage of the topic, including: • The QR algorithm for finding the eigenvalues of a self-adjoint matrix • The Householder algorithm for turning self-adjoint matrices into tridiagonal form • The compactness of the unit ball as a criterion of finite dimensionality of a normed linear space Additionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov's stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy's elegant proof of Halmos' conjecture about the numerical range of matrices. Clear, concise, and superbly organized, Linear Algebra and Its Applications, Second Edition serves as an excellent text for advanced undergraduate- and graduate-level courses in linear algebra. Its comprehensive treatment of the subject also makes it an ideal reference or self-study for industry professionals.
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(Calculus with Applications and Computing: Volume 1 One (I...)
Calculus with Applications and Computing: Volume 1 One (I) (Undergraduate Texts in Mathematics)
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Lax, Peter David was born on May 1, 1926 in Budapest, Hungary. Son of Henry and Klara (Kornfeld) Lax. came to the United States, 1941, naturalized, 1944.
Bachelor, New York University, 1947; Doctor of Philosophy, New York University, 1949; Doctor of Science (honorary), Kent State University, 1976; DSC (honorary), Brown U., 1993; Doctor honoris causa, U. Paris, 1979; D. Natural Sciences (honorary), Technische Hochschule Aachen, Germany, 1988; Doctor of Science (honorary), Herriot Walt U., 1990; D. (honorary), Leningrad State University, 1991; D. (honorary), University Maryland. Baltimore County, 1993; Doctor of Philosophy (honorary), Tel Aviv U., 1992; Doctor of Philosophy (honorary), Beijing U., 1993.
Assistant Professor, New York University 1949. Staff; Lecturer in Germany 1958. Professor, New York University since 1958, Director Atomic Energy Commission Computing and Applied Mathematics Center 1964-1972, Courant Institute of Mathematics Sciences 1972-1980, Courant Mathematics, and Computing Laboratory since 1980.
Visiting Lecturer, Oxford University 1969.
President American Mathematics Society 1969-1971.
( The application by Fadeev and Pavlov of the Lax-Phillip...)
(This revised edition of a classic book, which established...)
(Calculus with Applications and Computing: Volume 1 One (I...)
(Praise for the First Edition ". . .recommended for the...)
Member President's Committee on National Medal of Science, 1976, National Science Board, 1980-1986. Served with Army of the United States, 1944-1946. Member American Association for the Advancement of Science, NAS (applied mathematics and numerical analysis award 1983), Am.Math.
Society (president 1979-1980, Norbert Wiener prize 1973, Leroy P. Steele prize 1993), Mathematics Association American (Board of Governors, Chauvenet prize 1974), American Academy Arts and Sciences, American Philosophical Society, Society Industrial and Applied Mathematics, Academy des Sciences (foreign associate), Russian Academy Science (foreign associate), Academy Sinica (honorary), Hungarian Academy Science (honorary), Moscow Mathematics Society (honorary), London Mathematics Society (honorary).
Married Anneli Cahn, 1948. Children: John, James D.