Математика
4541 кн.
"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...
| Автор | L. Mirsky |
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...
| Автор | Henry P. Manning |
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....
| Автор | A. N. Tikhonov |
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...
| Автор | Richard von Mises |
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...
| Автор | Egmont Colerus |
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...
| Автор | Cajori Florian |
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...
| Автор | Waclaw Sierpinski |
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...
| Автор | John Venn |
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...
| Автор | David V. Widder |
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...
| Автор | Kenneth Hoffman |
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions...
| Автор | Walter J. Meyer |
The most important topics in the theory and application of complex variables receive a thorough, coherent treatment in this introductory text. Intended for undergraduates or graduate students in science, mathematics, and engineering, this volume features hundreds of solved examples, exercises, and applications designed to foster a complete understanding of complex variables as well as an appreciation of their mathematical beauty and elegance. <BR>Prerequisites are minimal; a three-semester...
| Автор | Stephen D. Fisher |
Application-oriented introduction relates the subject as closely as possible to science. In-depth explorations of the derivative, the differentiation and integration of the powers of x, and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Clear-cut explanations, numerous drills, illustrative examples. 1967 edition....
| Автор | Morris Kline |
Some years ago, «new math» took the country's classrooms by storm. Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, students, and parents. Since then, the negative aspects of «new math» have been eliminated and its positive elements...
| Автор | Ian Stewart |
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, rings, modules, Galois theory, polynomials,...
| Автор | Nathan Jacobson |
This compact, well-written history — first published in 1948, and now in its fourth revised edition — describes the main trends in the development of all fields of mathematics from the first available records to the middle of the 20th century. Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating.Beginning with the ancient Near East, the author traces the ideas and...
| Автор | Dirk J. Struik |
Geared toward upper-level undergraduates and graduate students, this two-part treatment deals with the foundations of multivariate analysis as well as related models and applications. Starting with a look at practical elements of matrix theory, the text proceeds to discussions of continuous multivariate distributions, the normal distribution, and Bayesian inference; multivariate large sample distributions and approximations; the Wishart and other continuous multivariate distributions; and basic...
| Автор | S. James Press |
One of the most pressingproblems of mathematics over the last hundred years has been the question: What is a number? One of the most impressive answers has been the axiomatic development of set theory. The question raised is: «Exactly what assumptions, beyond those of elementary logic, are required as a basis for modern mathematics?» Answering this question by means of the Zermelo-Fraenkel system, Professor Suppes' coverage is the best treatment of axiomatic set theory for the mathematics...
| Автор | Patrick Suppes |
These counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as «real variables,» starting at the level of calculus. The first half of the book concerns functions of a real variable; topics include the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, uniform convergence, and sets and measure on the real axis. The second half, encompassing higher dimensions, examines functions of...
| Автор | Bernard R. Gelbaum |
This book is written for students and other interested readers as a look inside the diverse range of applications for physics outside of the scientific research environment. This first volume covers several different areas of the arts and design ranging from stage lighting to sculpting. The author has interviewed experts in each area to explain how physics and technology impact their work. These are all useful examples of how physics encountered in taught courses relates to the real world.
| Автор | Sharon Ann Holgate |
For a physicist, «noise» is not just about sounds, but refers to any random physical process that blurs measurements, and in so doing stands in the way of scientific knowledge. This book deals with the most common types of noise, their properties, and some of their unexpected virtues. The text explains the most useful mathematical concepts related to noise. Finally, the book aims at making this subject more widely known and to stimulate the interest for its study in young physicists.
| Автор | Edoardo Milotti |
Una historia concisa de la medicina occidental, ordenada conceptualmente en torno a los grandes campos de interés médico: anatomía, farmacología, obstetricia, psiquiatría, medicina familiar… Cada capítulo comienza en la Antigüedad y termina en nuestros días. A lo largo de la narración, la autora muestra que la medicina es un reflejo de la sociedad del momento, y que los asuntos de interés van más allá de los «grandes hombres» y los «grandes descubrimientos» para abarcar también ideas,...
| Автор | Jacalyn Duffin |
No hay persona en el mundo que no se haya enfrentado a alguna adversidad, así como no existe proyecto que responda completamente a una necesidad desde su origen, en tal caso ¿qué sentido tendría formular y gestionar un proyecto? Por el contrario, estos devienen con una serie de enigmas e incertidumbres que al final constituyen los retos que el gerente de proyectos desea superar, se alimenta de ellos y trabaja de manera conjunta con su equipo en busca del éxito y el cumplimiento de objetivos....
| Автор | Jorge Andrés Sarmiento Rojas |
El neoliberalismo tiene un mantra, «El mercado lo soluciona todo», y encuentra en cualquier pretexto, incluso en una tragedia de escala mundial, una oportunidad de expansión y reproducción sistémica. La contaminación y el agotamiento de los recursos naturales, el cambio climático y la destrucción del medio ambiente, se resuelve, para el siempre hambriento capitalismo, a través de una aplicación adecuada de mecanismos de mercado bajo la promesa de que estos pueden engendrar al mismo tiempo...
| Автор | Arturo Villavicencio |