Peter David Lax ist ein ungarisch-amerikanischer Mathematiker, dessen Werk sowohl die reine als auch die angewandte Mathematik umfasst. Er ist bekannt für seine grundlegenden Beiträge zu Gebieten wie integrierbare Systeme, Fluiddynamik, Stoßwellen und solitonenbasierte Physik. Seine einflussreichen Vermutungen, wie die zur Matrixdarstellung von hyperbolischen Polynomen dritter Ordnung, inspirierten und beeinflussten Mathematiker in verschiedenen Disziplinen über Jahrzehnte hinweg. Lax' Ansatz zur Lösung komplexer mathematischer Probleme und sein tiefes Verständnis mathematischer Prinzipien haben tiefe Spuren in der modernen Mathematik hinterlassen.
Focusing on single variable calculus, the book presents essential theorems in a clear manner. It also introduces complex numbers and complex-valued functions, highlighting key applications of calculus. Additionally, readers will find an introduction to probability and information theory, making it a comprehensive resource for understanding these mathematical concepts.
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.
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.
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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.
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.