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Peter D. Lax

    Peter David Lax is a Hungarian-born American mathematician whose work spans both pure and applied mathematics. He is renowned for his foundational contributions to fields such as integrable systems, fluid dynamics, shock waves, and solitonic physics. His influential conjectures, like the one concerning matrix representations for third-order hyperbolic polynomials, inspired and impacted mathematicians across various disciplines for decades. Lax's approach to tackling complex mathematical problems and his profound understanding of mathematical principles have left an indelible mark on modern mathematics.

    Decay of Solutions of Systems of Hyperbolic Conservation Laws
    Difference Schemes With High Order of Accuracy for Solving Hyperbolic Equations
    Shock Waves, Increase of Entropy and Loss of Information
    A Random Choice Finite-difference Scheme for Hyperbolic Conservation Laws
    Multivariable Calculus with Applications
    Calculus With Applications
    • 2023

      This book presents a new finite-difference scheme for hyperbolic conservation laws based on random choice. The authors show that this scheme outperforms conventional schemes in terms of accuracy and efficiency, making it a valuable tool for a wide range of applications. This book is an essential reference for anyone working in the field of numerical methods for partial differential equations.

      A Random Choice Finite-difference Scheme for Hyperbolic Conservation Laws
    • 2023

      This book features lectures on combustion theory given in a seminar held at the Courant Institute during the spring semester of 1977. The authors provide a detailed analysis of the key concepts and mathematical models underlying combustion theory, offering insights into the fundamental principles that govern the behavior of flames and other reactive flows.

      Lectures on Combustion Theory; Lectures Given in a Seminar Held During Spring Semester 1977 at the Courant Institute. Ed
    • 2022

      This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

      Difference Schemes With High Order of Accuracy for Solving Hyperbolic Equations
    • 2022

      This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

      Decay of Solutions of Systems of Hyperbolic Conservation Laws
    • 2021

      In the Arena

      • 256 pages
      • 9 hours of reading

      A collection of illustrated articles about select candidates who ran for and lost the election for the office of U.S. President, from Aaron Burr in 1800 to Hillary Clinton in 2016; includes a foreword by the 1988 Democratic nominee for president, Michael Dukakis.

      In the Arena
    • 2018

      Multivariable Calculus with Applications

      • 492 pages
      • 18 hours of reading

      Focusing on multivariable calculus, this text enhances understanding with clear explanations tailored for students in mathematics, physical sciences, and engineering. It builds on single variable calculus concepts, introducing partial derivatives, multiple integrals, and key theorems like Stokes' and divergence. Designed for those familiar with single variable calculus, it offers diverse problem-solving techniques and ample practice problems to reinforce learning and application of advanced calculus concepts.

      Multivariable Calculus with Applications