Kirjahaku

Discusses about mathematics in Sweden between 1630 and 1950. This book tells the story of how continental mathematics came to Sweden, how it was received, and how it inspired new results. It also contains a biography of Gosta Mittag-Leffler, the father of Swedish mathematics, who introduced the Weierstrassian theory of analytic functions.

This book is a collection of small essays containing the history and the proofs of some important and interesting theorems of analysis and partial differential operators in this century. Most of the results in the book are associated with Swedish mathematicians. Also included are the Tarski-Seidenberg theorem and Wiener's classical results in harmonic analysis and a delightful essay on the impact of distributions in analysis. All mathematical points are fully explained, but some require a certain mature understanding from the reader. This book is a well-written, simple work that offers full mathematical treatment, along with insight and fresh points of view.

The book ""Cauchy's Problem For Hyperbolic Equations: Winter And Spring Quarters, 1957, University Of Chicago"" by Lars Garding is a comprehensive guide to the study of hyperbolic equations and their solutions. The book is based on lectures given by Garding at the University of Chicago during the winter and spring quarters of 1957.The book begins with an introduction to hyperbolic equations and their properties. It then goes on to discuss the Cauchy problem for hyperbolic equations, which involves finding a solution to the equation that satisfies certain initial conditions. The book covers various methods for solving the Cauchy problem, including the method of characteristics, the Fourier transform method, and the Laplace transform method.Throughout the book, Garding provides numerous examples and exercises to help readers understand the concepts and techniques presented. He also includes a detailed bibliography for further reading and research.Overall, ""Cauchy's Problem For Hyperbolic Equations"" is an essential resource for anyone studying hyperbolic equations and their applications in mathematics and physics. It is written in a clear and concise style, making it accessible to both students and researchers in the field.Investigations In The Theory Of Partial Differential Equations, Technical Report, No. 2. Department Of Army Project, No. 5B99-01-004.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

Trying to make mathematics understandable to the general public is a very difficult task. The writer has to take into account that his reader has very little patience with unfamiliar concepts and intricate logic and this means that large parts of mathematics are out of bounds. When planning this book, I set myself an easier goal. I wrote it for those who already know some mathematics, in particular those who study the subject the first year after high school. Its purpose is to provide a historical, scientific, and cultural frame for the parts of mathematics that meet the beginning student. Nine chapters ranging from number theory to applications are devoted to this program. Each one starts with a historical introduction, continues with a tight but complete account of some basic facts and proceeds to look at the present state of affairs including, if possible, some recent piece of research. Most of them end with one or two passages from historical mathematical papers, translated into English and edited so as to be understandable. Sometimes the reader is referred back to earlier parts of the text, but the various chapters are to a large extent independent of each other. A reader who gets stuck in the middle of a chapter can still read large parts of the others. It should be said, however, that the book is not meant to be read straight through.

These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the Herglotz-Petrovsky formula with applications to lacunas. The rest is devoted to non-degenerate operators. The main novelty is a simple construction of a global parametrix of a first-order hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition.