Catalog Search Results
Author
Series
Language
English
Formats
Description
A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for two decades. Nathan Jacobson's books possess a conceptual and theoretical orientation, and in addition to their value as classroom texts, they serve as valuable references. Volume I explores all of the topics typically covered in undergraduate courses, including the rudiments of set theory, group theory,...
Author
Series
Language
English
Formats
Description
The primary mechanism for ideological and theoretical unification in modern mathematics, set theory forms an essential element of any comprehensive treatment of the philosophy of mathematics. This unique approach to set theory offers a technically informed discussion that covers a variety of philosophical issues. Rather than focusing on intuitionist and constructive alternatives to the Cantorian/Zermelian tradition, the author examines the two most...
Author
Series
Language
English
Description
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,...
Author
Series
Language
English
Formats
Description
This captivating book explains some of the most fascinating ideas of mathematics to nonspecialists. It focuses on three main areas: non-Euclidean geometry, a basis for relativity theory; number theory, a major component of cryptography; and fractals, the key elements of computer-generated art. Numerous illustrations. 1993 edition.
Author
Series
Language
English
Formats
Description
When J. D. Williams wrote this entertaining, witty introduction for the nonscientist, Game Theory was still a somewhat mysterious subject familiar to very few scientists beyond those researchers, like himself, working for the military. Now, over thirty years after its original publication as a Rand Corporation research study, his light-hearted though thoroughly effective primer is the recognized classic introduction to an increasingly applicable discipline....
Author
Series
Language
English
Formats
Description
Can you multiply 362 x .5 quickly in your head? Could you readily calculate the square of 41? How much is 635 divided by 2½? Can 727,648 be evenly divided by 8? If any of these questions took you more than a few seconds to solve, you need this book. Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts - timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide. By using the simple foolproof...
Author
Series
Language
English
Formats
Description
Extremely readable, jargon-free book for general readers traces the evolution of counting systems, from the primitive techniques of antiquity to computers. Text examines the earliest endeavors to count and record numbers, initial attempts to solve problems by using equations, and origins of infinite cardinal arithmetic.
Author
Series
Language
English
Formats
Description
Intended for advanced undergraduates and graduate students, this concise text focuses on the convergence of real series. Definitions of the terms and summaries of those results in analysis that are of special importance in the theory of series are specified at the outset. In the interests of maintaining a succinct presentation, discussion of the question of the upper and lower limits of a function is confined to an outline of those properties with...
Author
Series
Language
English
Formats
Description
Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th–16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. This brought about the crucial change in the concept of number that made possible modern science - in which the symbolic "form" of a mathematical statement is completely inseparable from its "content" of physical meaning. Includes a translation of Vieta's Introduction...
Author
Series
Language
English
Description
This is a beautiful, important book, a pleasure to read, in which the history recounted truly illuminates the mathematical ideas, and the ideas themselves are superbly explained; a wonderful accomplishment. -- Barry Mazur, Harvard University " Math Through the Ages is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its...
Author
Series
Language
English
Description
In the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory. Starting...
Author
Series
Language
English
Description
A fine example of a great mathematician's intellect and mathematical style, this classic on linear algebra is widely cited in the literature. The treatment is an ideal supplement to many traditional linear algebra texts and is accessible to undergraduates with some background in algebra. "This is a classic but still useful introduction to modern linear algebra. It is primarily about linear transformations ... It's also extremely well-written and logical,...
Author
Series
Language
English
Description
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....
Author
Series
Language
English
Description
Nonnegative matrices is an increasingly important subject in economics, control theory, numerical analysis, Markov chains, and other areas. This concise treatment is directed toward undergraduates who lack specialized knowledge at the postgraduate level of mathematics and related fields, such as mathematical economics and operations research.
An Introductory Survey encompasses some aspects of matrix theory and its applications and other relevant...
Author
Series
Language
English
Description
A self-contained treatment appropriate for advanced undergraduate and graduate students, this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Starting with the theory of weighted Sobolev spaces, the text advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined...
17) General Topology
Author
Series
Language
English
Description
"The clarity of the author's thought and the carefulness of his exposition make reading this book a pleasure," noted the Bulletin of the American Mathematical Society upon the 1955 publication of John L. Kelley's General Topology. This comprehensive treatment for beginning graduate-level students immediately found a significant audience, and it remains a highly worthwhile and relevant book for students of topology and for professionals in many areas....
18) On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises
Author
Series
Language
English
Description
A great researcher, writer, and teacher in an era of tremendous mathematical ferment, Felix Klein (1849-1925) occupies a prominent place in the history of mathematics. His many talents included an ability to express complicated mathematical ideas directly and comprehensively, and this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions , is a prime example of his expository powers. The treatment introduces...
Author
Series
Language
English
Description
This concise monograph in probability by Mark Kac, a well-known mathematician, presumes a familiarity with Lebesgue's theory of measure and integration, the elementary theory of Fourier integrals, and the rudiments of number theory. Readers may then follow Dr. Kac's attempt to rescue statistical independence from the fate of abstract oblivion by showing how in its simplest form it arises in various contexts cutting across different mathematical disciplines."...
Author
Series
Language
English
Description
This advanced text explores a category of mathematical problems that occur frequently in physics and other sciences. Five preliminary chapters make the book accessible to students without extensive background in this area. Topics include Hamiltonian systems, symplecticness, numerical methods, order conditions, and implementation. The heart of the book, chapters 6 through 10, explores simplistic integration, simplistic order conditions, available simplistic...
Interlibrary Loan
Didn't find what you need? Items not owned by Main Library Alliance members might be available in other libraries across New Jersey. You can search JerseyCat and place a request for the item to be sent to your library.
If your library doesn't permit JerseyCat requests or the item can't be found, you can also contact your library for assistance.Didn't find it?
Can't find what you are looking for? Try our Materials Request Service. Submit Request