W-* algebras (Notes on mathematics and its applications)

Science & Math

Schwartz, Jacob T.

Mathematics

Gordon & Breach

This set features: Linear Operators, Part 1, General Theory (978-0-471-60848-6), Linear Operators, Part 2, Spectral Theory, Self Adjoint Operators in Hilbert Space (978-0-471-60847-9), and Linear Operators, Part 3, Spectral Operators (978-0-471-60846-2), all by Neilson Dunford and Jacob T. Schwartz. 
This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician―treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.

Linear Operators, 3 Volume Set

Dunford, Nelson

wiley

This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician―treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.

Linear Operators, Part 3: Spectral Operators

Wiley-Interscience

Linear Operators, Spectral Theory, Self Adjoint Operators in Hilbert Space, Part 2

First formulated in the early years of the 20th century, Einstein's theories of relativity overturned long-held concepts of space and time. They provided a radically new way of looking at the physical world and explanations for many questions unanswered by classical physics. Unfortunately, many laypeople consider relativity so abstruse and complicated that they despair of ever understanding it. In reality, the ideas, although profound, are quite simple. That simplicity is strikingly illuminated in this delightfully nontechnical book, which explains relativity in a straightforward, carefully illustrated manner the intelligent layperson can understand. A little high-school geometry will enable the reader to follow the discussion. Moreover, the book includes more than 60 drawings to illustrate concepts more clearly than verbal explanations could ever do. Beginning with the questions "What is Time?" and "What is Space?" the author gradually introduces concepts from ordinary geometry needed to follow the development of Einstein's ideas. Having grasped this foundation, the reader is prepared to understand the specific nature and ramifications of relativity theory. To further increase comprehension, the book is planned so that the text and illustrations face each other on a two-page spread, making it easy for the reader to refer from the text to the illustrations. Clear, engrossing and well-balanced, this remarkably accessible treatment offers an ideal introduction to one of the most important physical theories of the 20th century. It can be read with profit by high-school and college students, teachers, scientists, or any reader fascinated by Einstein's epoch-making theories and their far-reaching implications.

Relativity in Illustrations

Physics

Dover Publications

Realizing that matrices can be a confusing topic for the beginner, the author of this undergraduate text has made things as clear as possible by focusing on problem solving, rather than elaborate proofs. He begins with the basics, offering students a solid foundation for the later chapters on using special matrices to solve problems.The first three chapters present the basics of matrices, including addition, multiplication, and division, and give solid practice in the areas of matrix manipulation where the laws of algebra do not apply. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. He also covers special matrices — including complex numbers, quaternion matrices, and matrices with complex entries — and transpose matrices; the trace of a matrix; the cross product of matrices; eigenvalues and eigenvectors; and infinite series of matrices. Exercises at the end of each section give students further practice in problem solving. Prerequisites include a background in algebra, and in the later chapters, a knowledge of solid geometry. The book was designed as an introductory text for college freshmen and sophomores, but selected chapters can also be used to supplement advanced high school classes. Professionals who need a better understanding or review of the subject will also benefit from this concise guide.

Introduction to Matrices and Vectors (Dover Books on Mathematics)

Realizing that matrices can be a confusing topic for the beginner, the author of this undergraduate text has made things as clear as possible by focusing on problem solving, rather than elaborate proofs. He begins with the basics, offering students a solid foundation for the later chapters on using special matrices to solve problems.The first three chapters present the basics of matrices, including addition, multiplication, and division, and give solid practice in the areas of matrix manipulation where the laws of algebra do not apply. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. He also covers special matrices — including complex numbers, quaternion matrices, and matrices with complex entries — and transpose matrices; the trace of a matrix; the cross product of matrices; eigenvalues and eigenvectors; and infinite series of matrices. Exercises at the end of each section give students further practice in problem solving.Prerequisites include a background in algebra, and in the later chapters, a knowledge of solid geometry. The book was designed as an introductory text for college freshmen and sophomores, but selected chapters can also be used to supplement advanced high school classes. Professionals who need a better understanding or review of the subject will also benefit from this concise guide.

Introduction to matrices and vectors

An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.

Lectures on the Mathematical Method in Analytical Economics (Dover Books on Mathematics)

Business & Money

Economics

Lie Groups; Lie Algebras

Hausner, Melvin

Routledge

2014 Reprint of 1961 Edition.  Full facsimile of the original edition.  Not reproduced with Optical Recognition Software.  In this work Schwartz presents some mathematical models of the Leontief variety, most of which are intended to elucidate the causes of business cycles.  The book consists of three parts:  a discussion of the closed Leontief model; a theory of inventory cycles; and a discussion of a modified Walrasian system in the context of the existence of competitive equilibrium.  The work is still important for understanding the use of mathematics in the study of economic events.

Lectures on the Mathematical Method in Analytical Economics

Gordon and Breach

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