Описание: Discusses calculating with natural numbers, the first extension of the notion of number, special properties of integers, and complex numbers; algebra-related subjects such as real equations with real unknowns and equations in the field of complex quantities. Also explores elements of analysis, with discussions of logarithmic and exponential functions, the goniometric functions, and infinitesimal calculus. 1932 edition. 125 figures.
Автор: Akar, Azade Название: Authentic Turkish Designs ISBN: 0486272117 ISBN-13(EAN): 9780486272115 Издательство: Dover Рейтинг: Цена: 545 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that originally led to the calculus, simplifying their grasp of the central concepts of derivatives and integrals. The author also teaches the traditional approach, giving students the benefits of both methods. Chapters 1 through 4 employ infinitesimals to quickly develop the basic concepts of derivatives, continuity, and integrals. Chapter 5 introduces the traditional limit concept, using approximation problems as the motivation. Later chapters develop transcendental functions, series, vectors, partial derivatives, and multiple integrals. The theory differs from traditional courses, but the notation and methods for solving practical problems are the same. The text suggests a variety of applications to both natural and social sciences.
Описание: One of the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics, this classic offers a basic but thorough treatment of material that is assumed in many other studies but rarely available in concise form. Includes 190 problems, approximately half with answers. 1893 edition.
Автор: Schuster Seymour Название: Elementary Vector Geometry ISBN: 0486466728 ISBN-13(EAN): 9780486466729 Издательство: Dover Цена: 1015 р. Наличие на складе: Поставка под заказ.
Описание: Hailed by Linus Pauling as "excellent," this graduate-level treatment interweaves applications of the theory with development of the basic mathematical structure. Topics include wave packets, one-dimensional energy-level problems, orthogonal functions, the two-particle central-field problem, the many-particle problem, and much more. 1937 edition.
Автор: Cajori Florian Название: A History of Elementary Mathematics ISBN: 0486438740 ISBN-13(EAN): 9780486438740 Издательство: Dover Цена: 4703 р. Наличие на складе: Поставка под заказ.
Описание: Focusing on applicable rather than applied mathematics, this versatile text is appropriate for advanced undergraduates majoring in any discipline. A thorough examination of linear systems of differential equations inaugurates the text, reviewing concepts from linear algebra and basic theory. The heart of the book develops the ideas of stability and qualitative behavior. Starting with two-dimensional linear systems, the author reviews the use of polar coordinate techniques as well as Liapunov stability and elementary ideas from dynamic systems. Existence and uniqueness theorems receive a rigorous treatment, and the text concludes with a survey of linear boundary value problems. 1986 edition. 39 figures.
Albert Einstein characterized the work of James Clerk Maxwell as the "most profound and the most fruitful that physics has experienced since the time of Newton." Max Planck went even further, declaring that "he achieved greatness unequalled," and Richard Feynman asserted that "From a long view of the history of mankind seen from, say, ten thousand years from now there can be little doubt that the most significant event of the nineteenth century will be judged as Maxwell's discovery of the laws of electrodynamics." Maxwell made numerous other contributions to the advancement of science, but the greatest work of his life was devoted to electricity. "An Elementary Treatise on Electricity "appeared at a time when very few books on electrical measurements were available to students, and its compact treatment not only elucidates the theory of electricity but also serves to develop electrical ideas in readers' minds. The author describes experiments that demonstrate the principal facts relating an electric charge as a quantity capable of being measured, deductions from these facts, and the exhibition of electrical phenomena. This volume, published posthumously from Maxwell's lecture notes at the Cavendish Laboratory which he founded at the University of Cambridge is supplemented by a selection of articles from his landmark book, "Electricity and Magnetism. "A classic of science, this volume is an eminently suitable text for upper-level undergraduates and graduate students."
Автор: Thornton Frederic Название: Elementary Arabic: A Grammar ISBN: 0486441768 ISBN-13(EAN): 9780486441764 Издательство: Dover Рейтинг: Цена: 858 р. Наличие на складе: Поставка под заказ.
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