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An accessible yet rigorous introduction to partial differential equations This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Lapla...
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From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991
The book contains reproductions of the most important papers that gave birth to the first developments in nonlinear programming. Of particular interest is W. Karush's often quoted Master Thesis, which is published for the first time. The anthology includes an extensive preliminary chapter, where the editors trace out the history of mathematical programming, with special reference to linear and nonlinear programming.
'Journey Towards Justice' is a testimony to the triumph of human spirit and how one man's extraordinary resolve, along with the wonder of technology, helped transform his life.
John Fritz became homeless at age 16. He quit school and became a tramp hitchhiking back and forth across the country. He tried many times to quit drinking and settle down, but he failed each time. His lifestyle resulted in twelve DWI's, and he was checked into treatment centers sixteen times for chemical dependency. He accumulated time in various jails totaling four years of his life, and he spent another four years in the Minnesota penitentiary system. Then he was diagnosed with mental illness. Despite all these stigmas, John somehow turned his life around. His story is laced with funny experiences, colorful characters riding freight trains, and close encounters with death. He was touched by the kindness of strangers again and again. John has an excellent memory and is a natural storyteller. After all of his failures and the things he's been through, readers will be surprised to learn in the final chapter, "Recovery," how John is now living his life.
This book contains select contributions presented at the International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), held at the Department of Mathematics Sciences, Indian Institute of Technology (BHU) Varanasi, India, from 21–23 December 2021. The book discusses topics in the areas of nonlinear analysis, fixed point theory, dynamical systems, optimization, fractals, applications to differential/integral equations, signal and image processing, and soft computing, and exposes the young talents with the newer dimensions in these areas with their practical approaches and to tackle the real-life problems in engineering, medical and social sciences. Scientists from the U.S.A., Austria, France, Mexico, Romania, and India have contributed their research. All the submissions are peer reviewed by experts in their fields.