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Elementary Functional Analysis

by Georgi E. Shilov

Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes...


Elementary Theory of Analytic Functions of One or Several Complex Variables

by Henri Cartan

Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition....


Introduction to Graph Theory

by Richard J. Trudeau

Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler...


Theory of Linear Operators in Hilbert Space

by N. I. Akhiezer & I. M. Glazman

This classic textbook introduces linear operators in Hilbert Space, and presents the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. Invaluable for every mathematician...


Applied Probability Models with Optimization Applications

by Sheldon M. Ross

Concise advanced-level introduction to stochastic processes that arise in applied probability. Poisson process, renewal theory, Markov chains, Brownian motion, much more. Problems. References. Bibliography....


Differential Geometry

by Erwin Kreyszig

An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations....


Theory and Application of Infinite Series

by Konrad Knopp

Unusually clear and interesting classic covers real numbers and sequences, foundations of the theory of infinite series and development of the theory (series of valuable terms, Euler's summation formula, asymptotic...


Statistical Thermodynamics

by Erwin Schrodinger

Nobel Laureate's brilliant attempt to develop a simple, unified standard method of dealing with all cases of statistical thermodynamics — classical, quantum, Bose-Einstein, Fermi-Dirac, etc..


Essential Calculus with Applications

by Richard A. Silverman

Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a...


Atomic Physics: 8th Edition

by Max Born

Nobel Laureate's lucid treatment of kinetic theory of gases, elementary particles, nuclear atom, wave-corpuscles, atomic structure and spectral lines, much more. Over 40 appendices, bibliography.


Challenging Mathematical Problems with Elementary Solutions, Vol. I

by A. M. Yaglom & I. M. Yaglom

Volume I of a two-part series, this book features a broad spectrum of 100 challenging problems related to probability theory and combinatorial analysis. Most can be solved with elementary mathematics. Complete...


Statistical Mechanics: Principles and Selected Applications

by Terrell L. Hill

Standard text covers classical statistical mechanics, quantum statistical mechanics, relation of statistical mechanics to thermodynamics, plus fluctuations, theory of imperfect gases and condensation, distribution...


Introduction to Numerical Analysis: Second Edition

by F. B. Hildebrand

Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of...


Probability: An Introduction

by Samuel Goldberg

Excellent basic text covers set theory, probability theory for finite sample spaces, binomial theorem, probability distributions, means, standard deviations, probability function of binomial distribution, more....


Theoretical Physics

by Georg Joos & Ira M. Freeman

Classic treatise covers mathematical topics needed by theoretical and experimental physicists (vector analysis, calculus of variations, etc.), followed by coverage of mechanics, electromagnetic theory, thermodynamics,...


Introductory Complex Analysis

by Richard A. Silverman

Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers....


Electromagnetic Fields and Interactions

by Richard Becker

This classic introduction to electromagnetic fields, thoroughly revised in 1964 and available here in a one-volume edition, includes a self-contained section on quantum theory. Problems with solutions. 148 illustrations....


Complex Variables

by Francis J. Flanigan

Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Numerous problems and solutions. 1972 edition....


Radiative Transfer

by Subrahmanyan Chandrasekhar

This book by a Nobel Laureate provides the foundation for analysis of stellar atmospheres, planetary illumination, and sky radiation. Suitable for students and professionals in physics, nuclear physics, astrophysics,...


Mathematical Foundations of Information Theory

by A. Ya. Khinchin

First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other...