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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

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

Advanced Calculus of Several Variab...

C. H. Edwards

Advanced Calculus of Several Variables

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Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems. 1973 edition.

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C. H. Edwards

Concepts of Probability Theory

Paul E. Pfeiffer

Concepts of Probability Theory

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This approach to the basics of probability theory employs the simple conceptual framework of the Kolmogorov model, a method that comprises both the literature of applications and the literature on pure mathematics. The author also presents a substantial introduction to the idea of a random process. Intended for college juniors and seniors majoring in science, engineering, or mathematics, the book assumes a familiarity with basic calculus.After a brief historical introduction, the text examines a...

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Paul E. Pfeiffer

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

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

A Course on Group Theory

John S. Rose

A Course on Group Theory

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This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications. Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated...

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John S. Rose

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

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

An Introduction to Linear Algebra

L. Mirsky

An Introduction to Linear Algebra

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"The straight-forward clarity of the writing is admirable." — American Mathematical Monthly.This work provides an elementary and easily readable account of linear algebra, in which the exposition is sufficiently simple to make it equally useful to readers whose principal interests lie in the fields of physics or technology. The account is self-contained, and the reader is not assumed to have any previous knowledge of linear algebra. Although its accessibility makes it suitable for...

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L. Mirsky

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

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

Diophantine Approximations

Ivan Niven

Diophantine Approximations

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This self-contained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both the fractional and integral parts.The author refrains from the use of continuous fractions and...

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Ivan Niven

Elements of Partial Differential Eq...

Ian N. Sneddon

Elements of Partial Differential Equations

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Geared toward students of applied rather than pure mathematics, this volume introduces elements of partial differential equations. Its focus is primarily upon finding solutions to particular equations rather than general theory.Topics include ordinary differential equations in more than two variables, partial differential equations of the first and second orders, Laplace's equation, the wave equation, and the diffusion equation. A helpful Appendix offers information on systems of surfaces,...

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Ian N. Sneddon

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

A Philosophical Essay on Probabilit...

Pierre-Simon Laplace

A Philosophical Essay on Probabilities

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"A Philosophical Essay on Probabilities" by Pierre-Simon Laplace (translated by Frederick Wilson Truscott, Frederick Lincoln Emory). Published by Good Press. Good Press publishes a wide range of titles that encompasses every genre. From well-known classics & literary fiction and non-fiction to forgotten−or yet undiscovered gems−of world literature, we issue the books that need to be read. Each Good Press edition has been meticulously edited and formatted to boost readability for all...

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Pierre-Simon Laplace

A Philosophical Essay on Probabilit...

Pierre-Simon Laplace

A Philosophical Essay on Probabilities

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Pierre-Simon Laplace

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