4 results for "Mathematics"

Tractatus Logico-Philosophicus

Ludwig Wittgenstein
First published originally in German in 1921, "Tractatus Logico-Philosophicus" is the only book-length philosophical work by Austrian philosopher Ludwig Wittgenstein published during his lifetime. Based upon notes made during his time serving in World War I, the treatise is composed of 526 numbered declarative statements that are presented without argument and were seen by Wittgenstein as being self-evident. Wittgenstein's style is succinct and sparse and his ideas are presented in a highly logical, organized, and scientific manner. Wittgenstein proposes that the solution to all major philosophical problems can be solved only with logic and a scientific analysis of language and its meaning. His idea that philosophy is not about metaphysics and mysticism, but about critical and rational thought led to a massive shift in philosophical theories after its publication. The treatise was influential with many of the "logical positivists" of the Vienna Circle, such as Rudolf Carnap and Friedrich Waismann, and to philosophers such as Bertrand Russell. Considered one of the most significant and influential philosophical works of the twentieth century, this treatise is an important read for any student of the history of language and ideas. This edition is printed on premium acid-free paper.
Neeland Media 2019-06-18 76 pages

Introduction to Hilbert Space and the Theory of Spectral Multiplicity

Paul R. Halmos
2013 Reprint of 1951 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. The subject matter of the book is funneled into three chapters: [1] The geometry of Hubert space; [2] the structure of self-adjoint and normal operators; [3] and multiplicity theory for a normal operator. For the last, an expert knowledge of measure theory is indispensable. Indeed, multiplicity theory is a magnificent measure-theoretic tour de force. The subject matter of the first two chapters might be said to constitute an introduction to Hilbert space, and for these, an a priori knowledge of classic measure theory is not essential. Paul Richard Halmos (1916-2006) was a Hungarian-born American mathematician who made fundamental advances in the areas of probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces). He was also recognized as a great mathematical expositor.
Martino Publishing 2013-09 118 pages

Microwave Spectroscopy

C. H. Townes,A. L. Schawlow
Two Nobel Laureates present a systematic, comprehensive account of the theory, techniques, experimental data, and interpretation involved in the study of microwave spectroscopy—a subject relevant to nuclear physics, molecular structure, chemical kinetics, quantum electrodynamics, and astronomy.The material in this volume is discussed critically, systematically, and in the simplest form. The simplicity of the wording and mathematics makes most of the contents accessible to those with a very elementary knowledge of quantum mechanics and atomic physics. Although the treatment is continuously developed, each of the 18 chapters is self-contained. Nearly 200 tables and figures augment the text. Appendixes supply most of the background for research and interpretation of microwave spectra; they also contain extensive data on nuclear and molecular constants, including essentially all those determined by microwave techniques. "Equally suitable for use as a fundamental reference or advanced textbook." — U.S. Quarterly Book Review .
McGraw Hill 1955 698 pages

Ultra-Wideband, Short-Pulse Electromagnetics

H.L. Bertoni,L. Carin,L.B. Felsen
In 1945, Dr. Ernst Weber founded, and was the first Director of, the Microwave Research Institute (MRI) at POLYTECHNIC UNIVERSITY (at that time named the Polytechnic Institute of Brooklyn). MRI gained world-wide recognition in the 50's and 60's for its research in electromagnetic theory, antennas and radiation, network theory and microwave networks, microwave components and devices. It was also known through its series of topical symposia and the widely distributed hard bound MRI Symposium Proceedings. Rededicated as the Weber Research Institute (WRI) in 1986, the research focus today is on such areas as electromagnetic propagation and antennas, ultra broadband electromagnetics, pulse power, acoustics, gaseous electronics, plasma physics, solid state materials, quantum electronics, electromagnetic launchers, and networks. Following the MRI tradition, WRI has launched its own series of in-depth topical conferences with published proceedings. The first conference was held in October, 1990 and was entitled Directions in Electromagnetic Wave Modeling. The proceedings of the conference were published under that title by Plenum Press. This volume constitutes the Proceedings of the second WRI International Conference dealing with Ultra·Wideband Short·Pulse Electromagnetics.
Springer US 2011-12-21 542 pages