Peter D. Lax

Mariano Giaquinta

S. R. S. Varadhan

The 11 papers discuss analysis, partial differential equations, applied mathematics, and scientific computing, focusing on the work of Peter Lax and Louis Nirenberg, whose 70th birthdays occasioned the conference. Specific topics include viscosity solutions for the porous medium equation, holomorphic curves in contact dynamics, and minimizing volume among Lagrangian submanifolds. No index. Member prices are $31 for institutions and $23 or individuals. Annotation copyrighted by Book News, Inc., Portland, OR.

La Pietra 1996 : Conference on Differential Equations Marking the 70th Birthdays of Peter Lax and Louis Nirenberg, July 3-7, 1996, Villa La Pietra, Florence, Italy

Differential Equations: La Pietra 1996

Lecture Notes

Partial Differential Equations

Maria Shea Terrell

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 point-wise 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 complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.

Calculus With Applications

L. Nirenberg

Renato Spigler

Stephanos Venakides

Lax and Nirenberg are two of the most distinguished mathematicians of our times. Their work on partial differential equations (PDEs) over the last half-century has dramatically advanced the subject and has profoundly influenced the course of mathematics. A huge part of the development in PDEs during this period has either been through their work, motivated by it or achieved by their postdocs and students. A large number of mathematicians honored these two exceptional scientists in a week-long conference in Venice (June 1996) on the occasion of their 70th birthdays. This volume contains the proceedings of the conference, which focused on the modern theory of nonlinear PDEs and their applications. Among the topics treated are turbulence, kinetic models of a rarefied gas, vortex filaments, dispersive waves, singular limits and blow-up solutions, conservation laws, Hamiltonian systems and others. The conference served as a forum for the dissemination of new scientific ideas and discoveries and enhanced scientific communication by bringing together such a large number of scientists working in related fields. THe event allowed the international mathematics community to honor two of its outstanding members.

Proceedings of a Conference in Honor of the 70th Birthdays of Peter D. Lax and Louis Nirenberg : June 10-14, 1996, Venice, Italy

Recent Advances in Partial Differential Equations, Venice 1996

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.

Peter D. Lax

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