Серия "Dover Books on Mathematics"

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Functional Analysis

Frigyes Riesz

Functional Analysis

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Classic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition.

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Frigyes Riesz

Fundamentals of Scientific Mathemat...

George E. Owen

Fundamentals of Scientific Mathematics

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"For high school seniors or college freshmen with a background in algebra and trigonometry, the book should provide a good introduction to matrices, vector algebra, analytical geometry, and calculus. The work's solid modern mathematical content and its personality recommend consideration as a text or as stimulating supplementary reading." — American Scientist"The book is well written and the presentation throughout achieves clarity of thought with a minimum of computational...

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George E. Owen

Integral, Measure and Derivative

G. E. Shilov

Integral, Measure and Derivative

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This graduate-level textbook and monograph defines the functions of a real variable through consistent use of the Daniell scheme, offering a rare and useful alternative to customary approaches. The treatment can be understood by any reader with a solid background in advanced calculus, and it features many problems with hints and answers. «The exposition is fresh and sophisticated,» declared Sci-Tech Book News, «and will engage the interest of accomplished mathematicians.» Part one is devoted to...

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G. E. Shilov

Intriguing Mathematical Problems

Oswald Jacoby

Intriguing Mathematical Problems

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Amusing and informative in its approach to solving mathematical bafflers, this treasury of theories, games, puzzles and oddities of all kinds, compiled by one of the world's best card players (Jacoby) and an expert in mathematical recreations (Benson) will delight and fascinate math enthusiasts.Although primarily intended to entertain, the wide variety of puzzles ― ranging from facile curiosities to very difficult intellectual exercises ― will challenge you to keep your...

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Oswald Jacoby

Introduction to Formal Languages

György E. Révész

Introduction to Formal Languages

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This highly technical introduction to formal languages in computer science covers all areas of mainstream formal language theory, including such topics as operations on languages, context-sensitive languages, automata, decidability, syntax analysis, derivation languages, and more. Geared toward advanced undergraduates and graduate students, the treatment examines mathematical topics related to mathematical logic, set theory, and linguistics. All subjects are integral to the theory of...

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György E. Révész

Introduction to Mathematical Thinki...

Friedrich Waismann

Introduction to Mathematical Thinking

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This enlightening survey of mathematical concept formation holds a natural appeal to philosophically minded readers, and no formal training in mathematics is necessary to appreciate its clear exposition of mathematic fundamentals. Rather than a system of theorems with completely developed proofs or examples of applications, readers will encounter a coherent presentation of mathematical ideas that begins with the natural numbers and basic laws of arithmetic and progresses to the problems of the...

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Friedrich Waismann

Mathematical Foundations of Quantum...

A. Y. Khinchin

Mathematical Foundations of Quantum Statistics

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A coherent, well-organized look at the basis of quantum statistics’ computational methods, the determination of the mean values of occupation numbers, the foundations of the statistics of photons and material particles, thermodynamics.

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A. Y. Khinchin

Mathematics for Everyman

Egmont Colerus

Mathematics for Everyman

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Many people suffer from an inferiority complex where mathematics is concerned, regarding figures and equations with a fear based on bewilderment and inexperience. This book dispels some of the subject’s alarming aspects, starting at the very beginning and assuming no mathematical education.Written in a witty and engaging style, the text contains an illustrative example for every point, as well as absorbing glimpses into mathematical history and philosophy. Topics include the system of...

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Egmont Colerus

Mathematics for the Nonmathematicia...

Morris Kline

Mathematics for the Nonmathematician

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Practical, scientific, philosophical, and artistic problems have caused men to investigate mathematics. But there is one other motive which is as strong as any of these—the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural...

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Morris Kline

Numbers

Graham Flegg

Numbers

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Much in our daily lives is defined in numerical terms-from the moment we wake in the morning and look at the clock to dialing a phone or paying a bill. But what exactly is a number? When did man begin to count and record numbers? Who made the first calculating machine-and when? At what point did people first think of solving problems by equations? These and many other questions about numbers are answered in this engrossing, clearly written book.Written for general readers by a teacher of...

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Graham Flegg

Pythagorean Triangles

Waclaw Sierpinski

Pythagorean Triangles

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The Pythagorean Theorem is one of the fundamental theorems of elementary geometry, and Pythagorean triangles — right triangles whose sides are natural numbers — have been studied by mathematicians since antiquity. In this classic text, a brilliant Polish mathematician explores the intriguing mathematical relationships in such triangles.Starting with «primitive» Pythagorean triangles, the text examines triangles with sides less than 100, triangles with two sides that are...

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Waclaw Sierpinski

Statistical Method from the Viewpoi...

Walter A. Shewhart

Statistical Method from the Viewpoint of Quality Control

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The application of statistical methods in mass production make possible the most efficient use of raw materials and manufacturing processes, economical production, and the highest standards of quality for manufactured goods. In this classic volume, based on a series of ground-breaking lectures given to the Graduate School of the Department of Agriculture in 1938, Dr. Shewhart illuminated the fundamental principles and techniques basic to the efficient use of statistical method in attaining...

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Walter A. Shewhart

The Fourth Dimension Simply Explain...

Henry P. Manning

The Fourth Dimension Simply Explained

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To remove the contents of an egg without puncturing its shell or to drink the liquor in a bottle without removing the cork is clearly unthinkable — or is it? Understanding the world of Einstein and curved space requires a logical conception of the fourth dimension.This readable, informative volume provides an excellent introduction to that world, with 22 essays that employ a minimum of mathematics. Originally written for a contest sponsored by Scientific American, these essays are so...

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Henry P. Manning

The Gentle Art of Mathematics

Dan Pedoe

The Gentle Art of Mathematics

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This lighthearted work uses a variety of practical applications and puzzles to take a look at today's mathematical trends. In nine chapters, Professor Pedoe covers mathematical games, chance and choice, automatic thinking, and more.

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Dan Pedoe

The History of the Calculus and Its...

Carl B. Boyer

The History of the Calculus and Its Conceptual Development

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This book, for the first time, provides laymen and mathematicians alike with a detailed picture of the historical development of one of the most momentous achievements of the human intellect ― the calculus. It describes with accuracy and perspective the long development of both the integral and the differential calculus from their early beginnings in antiquity to their final emancipation in the 19th century from both physical and metaphysical ideas alike and their final elaboration as...

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Carl B. Boyer

The Logic of Chance

John Venn

The Logic of Chance

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No mathematical background is necessary to appreciate this classic of probability theory, which remains unsurpassed in its clarity, readability, and sheer charm. Its author, British logician John Venn (1834-1923), popularized the famous Venn Diagrams that are commonly used for teaching elementary mathematics. In The Logic of Chance, he employs the same directness that makes his diagrams so effective.The three-part treatment commences with an overview of the physical foundations of the science of...

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John Venn

The Theory of Groups

Hans J. Zassenhaus

The Theory of Groups

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Group theory represents one of the most fundamental elements of mathematics. Indispensable in nearly every branch of the field, concepts from the theory of groups also have important applications beyond mathematics, in such areas as quantum mechanics and crystallography.Hans J. Zassenhaus, a pioneer in the study of group theory, has designed this useful, well-written, graduate-level text to acquaint the reader with group-theoretic methods and to demonstrate their usefulness as tools in the...

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Hans J. Zassenhaus

Variational Methods for Eigenvalue...

S. H. Gould

Variational Methods for Eigenvalue Problems

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The importance of eigenvalue theory in pure and applied mathematics, and in physics and chemistry, makes it incumbent on students to understand the various methods of approximate calculation of eigenvalues. It is especially important to develop such methods in a general and theoretical manner, if only to avoid missing opportunities for particular applications. This book does just that, approaching the topic from a purely mathematical standpoint.Because variational methods are particularly well...

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S. H. Gould

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