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This text features examinations of classic models and a variety of applications. Each section is preceded by an abstract and statement of prerequisites. Includes exercises. 1984 edition.

Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.

Vol. 1 of a monumental 4-volume set includes a general survey of mathematics; historical and biographical information on prominent mathematicians throughout history; material on arithmetic, numbers and the art of counting, more.

Suitable for a graduate course in analytic probability, this text covers probability spaces and distributions, stochastic independence, strong limit theorems for independent random variables, stochastic processes, and much more. 1967 edition.

This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.

Focusing on applicable rather than applied mathematics, this text is appropriate for advanced undergraduates majoring in any discipline. The author emphasizes basic real analysis as well as differential equations. 1986 edition. Includes 39 figures.

The relation between differential operators and integral transforms is the theme of this work. Discusses finite and non-finite kernels, variation diminishing transforms, asymptotic behavior of kernels, real inversion theory, representation theory, the Weierstrass transform, more.

Classic monograph offers a brief account of the invariant theory connected with a single quadratic differential form. Includes historical overview; methods of Christoffel, Lie, Maschke; and geometrical, dynamical methods. 1960 edition.

Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.

This first-year calculus book is centered around the use of infinitesimals rather than the epsilon-delta approach. It contains all the ordinary calculus topics, including approximation problems, vectors, partial derivatives, and multiple integrals. 2007 edition.

This concise three-part treatment introduces undergraduate and graduate students to the theory of automorphic functions and discontinuous groups. Author Joseph Lehner begins by elaborating on the theory of discontinuous groups by the classical method of Poincaré, employing the model of the hyperbolic plane. The necessary hyperbolic geometry is developed in the text. Chapter two develops automorphic functions and forms via the Poincaré series. Formulas for divisors of a function and form are proved and their consequences analyzed. The final chapter is devoted to the connection between automorphic function theory and Riemann surface theory, concluding with some applications of Riemann-Roch theorem.The book presupposes only the usual first courses in complex analysis, topology, and algebra. Exercises range from routine verifications to significant theorems. Notes at the end of each chapter describe further results and extensions, and a glossary offers definitions of terms.Dover (2014) republication of the edition originally published by Holt, Rinehart & Winston, New York, 1966.See every Dover book in print atwww.doverpublications.com