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Ordinary Differential Equations

Dover Publications, 1985

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton’s Interpolation Formulas,...

The Method of Trigonometrical Sums in the Theory of Numbers (Dover Books on Mathematics)

Dover Publications, 2004

Since 1934 the analytic theory of numbers has been largely transformed by the \vork of Vinogradov. This \vork, which has led to remarkable ne\v results, is characterized by its supreme ingenuity and great power.

Vinogradov has expounded his method and its applications in a series of papers and in two monographs 1), which appeared in 1937...

Thermodynamics

Dover Publications, 1956

In this classic of modern science, the Nobel Laureate presents a clear treatment of systems, the First and Second Laws of Thermodynamics, entropy, thermodynamic potentials, and much more. Calculus required.

THIS book ori~nated in a course of lectures held at Columbia University, New York, during the summer session of...

The Green Book of Mathematical Problems

Dover Publications, 1997

There is a famous set of fairy tale books, each volume of which is designated by the colour of its cover: The Red Book, The Blue Book, The Yellow Book, etc. We are not presenting you with The Green Book of fairy stories. but rather a book of mathematical problems. However, the conceptual idea of all fairy stories, that of mystery, search, and...

The Works of Archimedes

Dover Publications, 2002

The complete works of antiquity's great geometer appear here in a highly accessible English translation by a distinguished scholar. Remarkable for his range of thought and his mastery of treatment, Archimedes addressed such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a...

Theory of Electromagnetic Wave Propagation (Dover Books on Physics and Chemistry)

Dover Publications, 1988

This excellent graduate-level text discusses the Maxwell field equations, radiation from monochromatic sources in unbounded regions, radiation from wire antennas, radio-astronomical antennas, electromagnetic waves in a plasma, the Doppler effect and more.

This book represents the substance of a course of lectures I gave during the winter...

An Encyclopedia of Battles: Accounts of Over 1,560 Battles from 1479 B.C. to the Present

Dover Publications, 1985

Essential details of every major battle on land and sea in recorded history, from the first battle of Megiddo in 1479 B.C. to the Grenada conflict in 1984. Included: strategic situations, roles played by political/military leaders, troop numbers and training, tactics and objectives, casualties and losses and military/political consequences. Index....

Vector and Tensor Analysis with Applications

Dover Publications, 1979

Definition of vectors and discussion of algebraic operations on vectors leads to concept of tensor and algebraic operations on tensors. Also, systematic study of the differential and integral calculus of vector and tensor functions of space and time, more. Concise, eminently readable text. Worked out problems, solutions.

The...

Concepts of Modern Mathematics

Dover Publications, 1995

Concepts of Modern Mathematics began as an extramural course nowadays we would say 'continuing education—taught at Warwick University in 1971. Several dozen citizens of Coventry, ranging from school students to a retired automotive engineer, gathered for two hours every week to grapple with what was then called...

An Introduction to Matrices, Sets and Groups for Science Students

Dover Publications, 1986

THIS book is written primarily for undergraduate students of science and engineering, and presents an elementary introduction to some of the major branches of modern algebra - namely, matrices, sets and groups. Of these three topics, matrices are of especial importance at undergraduate level, and consequently more space is devoted to their study...

Analysis of Numerical Methods

Dover Publications, 1994

Excellent advanced-undergraduate and graduate text covers norms, numerical solution of linear systems and matrix factoring, iterative solutions of nonlinear equations, eigenvalues and eigenvectors, polynomial approximation and more. Careful analysis and stress on techniques for developing new methods. Features examples and problems. 1966 edition....

Taxicab Geometry: An Adventure in Non-Euclidean Geometry

Dover Publications, 1987

Develops a simple non-Euclidean geometry and explores some of its practical applications through graphs, research problems, and exercises. Includes selected answers.

This book has a triple purpose: to develop a very simple, concrete non-Euclidean geometry; to explore a few of its many real-world applications; to pose some of the...

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