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This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century.
Themelios is an international, evangelical, peer-reviewed theological journal that expounds and defends the historic Christian faith. Themelios is published three times a year online at The Gospel Coalition (http://thegospelcoalition.org/themelios/) and in print by Wipf and Stock. Its primary audience is theological students and pastors, though scholars read it as well. Themelios began in 1975 and was operated by RTSF/UCCF in the UK, and it became a digital journal operated by The Gospel Coalition in 2008. The editorial team draws participants from across the globe as editors, essayists, and reviewers. General Editor: D. A. Carson, Trinity Evangelical Divinity School Managing Editor: Brian Tabb, Bethlehem College and Seminary Consulting Editor: Michael J. Ovey, Oak Hill Theological College Administrator: Andrew David Naselli, Bethlehem College and Seminary Book Review Editors: Jerry Hwang, Singapore Bible College; Alan Thompson, Sydney Missionary & Bible College; Nathan A. Finn, Southeastern Baptist Theological Seminary; Hans Madueme, Covenant College; Dane Ortlund, Crossway; Jason Sexton, Golden Gate Baptist Seminary Editorial Board: Gerald Bray, Beeson Divinity School Lee Gatiss, Wales Evangelical School of Theology Paul Helseth, University of Northwestern, St. Paul Paul House, Beeson Divinity School Ken Magnuson, The Southern Baptist Theological Seminary Jonathan Pennington, The Southern Baptist Theological Seminary James Robson, Wycliffe Hall Mark D. Thompson, Moore Theological College Paul Williamson, Moore Theological College Stephen Witmer, Pepperell Christian Fellowship Robert Yarbrough, Covenant Seminary
This text is a comprehensive pedagogical presentation of the theory of representation of finite and compact Lie groups. It considers both the general theory and representation of specific groups. Representation theory is discussed on the following types of groups: finite groups of rotations, permutation groups, and classical compact semisimple Lie groups. Along the way, the structure theory of the compact semisimple Lie groups is exposed. This is aimed at research mathematicians and graduate students studying group theory.
A sane explanation of biblical numerology. Davis explains the conventional, rhetorical, symbolic, and mystical use of numbers in this fascinating study of the structure and syntax of biblical numbers.
Vol. 1 covers the organizational meeting, Springfield, Dec. 7, 1907, and the first regular meeting, Decatur, Feb. 22, 1908.
This is a book about numbers and how those numbers are represented in and operated on by computers. It is crucial that developers understand this area because the numerical operations allowed by computers, and the limitations of those operations, especially in the area of floating point math, affect virtually everything people try to do with computers. This book aims to fill this gap by exploring, in sufficient but not overwhelming detail, just what it is that computers do with numbers. Divided into two parts, the first deals with standard representations of integers and floating point numbers, while the second details several other number representations. Each chapter ends with exercises to review the key points. Topics covered include interval arithmetic, fixed-point numbers, floating point numbers, big integers and rational arithmetic. This book is for anyone who develops software including software engineerings, scientists, computer science students, engineering students and anyone who programs for fun.
Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.
* Presents a comprehensive treatment with a global view of the subject * Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician
Presents an accessible, in-depth look at the history of numbers and their applications in life and science, from math's surreal presence in the virtual world to the debates about the role of math in science.
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathema tics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclo paedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reason ably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of pre cise theorems with detailed definitions and technical details on how to carry out proofs and con structions.