Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the...

Geared toward undergraduate students, this text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of two- and three-dimensional space. Its rigorous development includes a complete treatment of the algebra of vectors in the first two chapters. Among the text's outstanding features are numbered definitions and theorems in the development of vector algebra, which...

This concise and classic volume presents the main results of integral equation theory as consequences of the theory of operators on Banach and Hilbert spaces. In addition, it offers a brief account of Fredholm's original approach. The self-contained treatment requires only some familiarity with elementary real variable theory, including the elements of Lebesgue integration, and is suitable for advanced undergraduates and graduate students of mathematics....

A fascinating exploration of the correlation between geometry and linear algebra, this text portrays the former as a subject better understood by the use and development of the latter rather than as an independent field. The treatment offers elementary explanations of the role of geometry in other branches of math and science -- including physics, analysis, and group theory -- as well as its value in understanding probability, determinant theory,...

An accessible guide to identifying and profiting from financial market trends Profiting from long-term trends is the most common path to success for traders. The challenge is recognizing the emergence of a trend and determining where to enter and exit the market. No body is more familiar with this situation than author Tina Logan. Now, in Profiting from Market Trends, she shares here extensive insights in this area with you. Divided into four comprehensive...

These well-known and concise lecture notes present the fundamentals of the Lebesgue theory of integration and an introduction to some of the theory's applications. Suitable for advanced undergraduates and graduate students of mathematics, the treatment also covers topics of interest to practicing analysts. Author Harold Widom emphasizes the construction and properties of measures in general and Lebesgue measure in particular as well as the definition...

"Discover the answers to your family history mysteries using the most-cutting edge tool available to genealogists. This plain-English guide, newly revised and expanded, is a one-stop resource on genetic genealogy for family historians. Inside, you’ll learn what DNA tests are available, with up-to-date pros and cons of the major testing companies (including AncestryDNA) and advice on choosing the right test to answer your specific questions....

The new edition of the definitive reference to trading systems-expanded and thoroughly updated. Professional and individual traders have relied on Trading Systems and Methods for over three decades. Acclaimed trading systems expert Perry Kaufman provides complete, authoritative information on proven indicators, programs, systems, and algorithms. Now in its sixth edition, this respected book continues to provide readers with the knowledge required...

Alongside Laszlo Birinyi's stories from his more than forty years of trading experience, the book provides guidance on critical trading and investment issues, including: • What the market will likely do if Spyders are up one percent in pre-trading • Whether to buy or sell when a stock reports better that expected earnings and trade up to $5 to $50 • The details behind group rotation and market cycles • The seasonal factors in investing •...

This advanced monograph of semigroup theory explores semigroups of linear operators and linear Cauchy problems. Suitable for graduate students in mathematics as well as professionals in science and engineering, the treatment begins with an introductory survey of the theory and applications of semigroups of operators. Two main sections follow, one dedicated to semigroups of linear operators, and the other to linear Cauchy problems. Author Jerome A....