Martin Schechter Livres

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Exploring the Kicking Horse Pass in the Rocky Mountains, the author highlights its significance in the Canadian Pacific Railroad's history and its unique geographical features. At an elevation of 5404 ft, this mountain pass allows a rare opportunity to stand with one foot in the Atlantic and the other in the Pacific. The narrative delves into the relationship between mountain passes and nonlinear partial differential equations, inviting readers to discover the unexpected connections between geography and mathematics.

Focusing on nonlinear partial differential equations, this monograph presents advanced results and techniques centered around critical points. It compiles a variety of proofs, including the author's original contributions, ensuring a rigorous approach throughout. The book serves as a vital resource for researchers interested in recent advancements in this dynamic field and highlights the diverse applications of critical point theory.

This guide focuses on solving non-linear problems through clear explanations and straightforward proofs. It aims to make complex concepts accessible, catering to readers who seek to understand and tackle non-linear equations effectively. The approach emphasizes simplicity and clarity, making it a valuable resource for students and practitioners in the field.

Focusing on the general linear partial differential equation of arbitrary order m, this book explores the complexity and diversity of methods required to solve these equations, highlighting that only a small percentage have been successfully addressed. It delves into the conditions under which these equations can be solved and the number of possible solutions, emphasizing the intricate nature of partial differential equations across various scientific disciplines.

This text starts at the foundations of the field, and is accessible with some background in functional analysis. As such, the book is ideal for classroom of self study. The new material covered also makes this book a must read for researchers in the theory of critical points.