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The Fourth Dimension Simply Explain...

Henry P. Manning

The Fourth Dimension Simply Explained

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

Statistical Method from the Viewpoi...

Walter A. Shewhart

Statistical Method from the Viewpoint of Quality Control

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

Introduction to Formal Languages

György E. Révész

Introduction to Formal Languages

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

A Course on Group Theory

John S. Rose

A Course on Group Theory

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

The History of the Calculus and Its...

Carl B. Boyer

The History of the Calculus and Its Conceptual Development

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

Fundamentals of Scientific Mathemat...

George E. Owen

Fundamentals of Scientific Mathematics

"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

Concepts of Probability Theory

Paul E. Pfeiffer

Concepts of Probability Theory

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

Philosophy of Science

Philipp Frank

Philosophy of Science

A great mathematician and teacher bridges the gap between science and the humanities in this exposition of the philosophy of science. Philipp Frank, a distinguished physicist and philosopher in his own right, traces the history of science from Aristotle to Einstein to illustrate philosophy’s ongoing role in the scientific process.Suitable for undergraduate students and other readers, this volume explains modern technology’s role in the gradual erosion of the rapport between...

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Philipp Frank

Molecular Feminisms

Deboleena Roy

Molecular Feminisms

�Should feminists clone?� �What do neurons think about?� �How can we learn from bacterial writing?� These provocative questions have haunted neuroscientist and molecular biologist Deboleena Roy since her early days of research when she was conducting experiments on an in vitro cell line using molecular biology techniques. An expert natural scientist as well as an intrepid feminist theorist, Roy takes seriously the expressive...

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Deboleena Roy

Capsule Calculus

Ira Ritow

Capsule Calculus

This brief introductory text presents the basic principles of calculus from the engineering viewpoint. Excellent either as a refresher or as an introductory course, it focuses on developing familiarity with the basic principles rather than presenting detailed proofs.Topics include differential calculus, in terms of differentiation and elementary differential equations; integral calculus, in simple and multiple integration forms; time calculus; equations of motion and their solution; complex...

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Ira Ritow

Integral, Measure and Derivative

G. E. Shilov

Integral, Measure and Derivative

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

Numbers

Graham Flegg

Numbers

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

Equations of Mathematical Physics

A. N. Tikhonov

Equations of Mathematical Physics

Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents:I. Classification of Partial Differential EquationsII. Evaluations of the Hyperbolic TypeIII....

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A. N. Tikhonov

Mathematical Theory of Compressible...

Richard von Mises

Mathematical Theory of Compressible Fluid Flow

A pioneer in the fields of statistics and probability theory, Richard von Mises (1883–1953) made notable advances in boundary-layer-flow theory and airfoil design. This text on compressible flow, unfinished upon his sudden death, was subsequently completed in accordance with his plans, and von Mises' first three chapters were augmented with a survey of the theory of steady plane flow. Suitable as a text for advanced undergraduate and graduate students — as well as a...

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Richard von Mises

Advanced Calculus

H.K Nickerson

Advanced Calculus

"This book is a radical departure from all previous concepts of advanced calculus," declared the Bulletin of the American Mathematics Society, «and the nature of this departure merits serious study of the book by everyone interested in undergraduate education in mathematics.» Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus. Starting with an abstract treatment of vector spaces and linear transforms, the authors...

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H.K Nickerson

Mathematics for Everyman

Egmont Colerus

Mathematics for Everyman

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

A History of Mathematical Notations

Cajori Florian

A History of Mathematical Notations

This classic study notes the first appearance of a mathematical symbol and its origin, the competition it encountered, its spread among writers in different countries, its rise to popularity, its eventual decline or ultimate survival. The author’s coverage of obsolete notations — and what we can learn from them — is as comprehensive as those which have survived and still enjoy favor. Originally published in 1929 in a two-volume edition, this monumental work is...

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Cajori Florian

A History of Greek Mathematics, Vol...

Sir Thomas Heath

A History of Greek Mathematics, Volume II

"As it is, the book is indispensable; it has, indeed, no serious English rival." — Times Literary Supplement"Sir Thomas Heath, foremost English historian of the ancient exact sciences in the twentieth century." — Prof. W. H. Stahl"Indeed, seeing that so much of Greek is mathematics, it is arguable that, if one would understand the Greek genius fully, it would be a good plan to begin with their geometry."The perspective that enabled Sir Thomas Heath to understand the...

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Sir Thomas Heath

Pythagorean Triangles

Waclaw Sierpinski

Pythagorean Triangles

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

The Concept of Nature

Alfred North Whitehead

The Concept of Nature

"One of the most valuable books on the relation of philosophy and science which has appeared for many years." — The Cambridge Review"A great contribution to Natur-philosophie, far the finest contribution . . . made by any one man. — MindIn addition to his brilliant achievements in theoretical mathematics, Alfred North Whitehead exercised an extensive knowledge of philosophy and literature that informs and elevates all of his works. This book represents one of his most...

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Alfred North Whitehead

The Logic of Chance

John Venn

The Logic of Chance

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

Advanced Calculus

Avner Friedman

Advanced Calculus

This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments.The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable...

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Avner Friedman

Advanced Calculus

David V. Widder

Advanced Calculus

This classic text by a distinguished mathematician and former Professor of Mathematics at Harvard University, leads students familiar with elementary calculus into confronting and solving more theoretical problems of advanced calculus. In his preface to the first edition, Professor Widder also recommends various ways the book may be used as a text in both applied mathematics and engineering.Believing that clarity of exposition depends largely on precision of statement, the author has taken pains...

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David V. Widder

Analysis in Euclidean Space

Kenneth Hoffman

Analysis in Euclidean Space

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 fundamentals of calculus, emphasizing power...

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Kenneth Hoffman

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