|A Collection of Problems on Complex Analysis|
by I. G. Aramanovich
L. I. Volkovyskii
G. L. Lunts
Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Answers and solutions. read more
|Elementary Real and Complex Analysis|
by Georgi E. Shilov
Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.
|Counterexamples in Analysis|
by Bernard R. Gelbaum
John M. H. Olmsted
These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition. read more
|Foundations of Analysis: Second Edition|
by David F Belding
Kevin J Mitchell
Unified and highly readable, this introductory approach develops the real number system and the theory of calculus, extending its discussion of the theory to real and complex planes. 1991 edition. read more
|A Second Course in Complex Analysis|
by William A. Veech
Geared toward upper-level undergraduates and graduate students, this clear, self-contained treatment of important areas in complex analysis is chiefly classical in content and emphasizes geometry of complex mappings. 1967 edition. read more
|Introduction to Proof in Abstract Mathematics|
by Andrew Wohlgemuth
This undergraduate text teaches students what constitutes an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. 1990 edition. read more
|An Introduction to Orthogonal Polynomials|
by Theodore S Chihara
Concise introduction covers general elementary theory, including the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula, special functions, and some specific systems. 1978 edition. read more
|The Laplace Transform|
by David V. Widder
This volume focuses on the Laplace and Stieltjes transforms, offering a highly theoretical treatment. Topics include fundamental formulas, the moment problem, monotonic functions, and Tauberian theorems. 1941 edition. read more
|Asymptotic Methods in Analysis|
by N. G. de Bruijn
This pioneering study/textbook in a crucial area of pure and applied mathematics features worked examples instead of the formulation of general theorems. Extensive coverage of saddle-point method, iteration, and more. 1958 edition. read more
|Conformal Mapping on Riemann Surfaces|
by Harvey Cohn
Lucid, insightful exploration reviews complex analysis, introduces Riemann manifold, shows how to define real functions on manifolds, and more. Perfect for classroom use or independent study. 344 exercises. 1967 edition. read more
by Cornelius Lanczos
Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.
|Foundations of Modern Analysis|
by Avner Friedman
Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Detailed analyses. Problems. Bibliography. Index.
|Foundations of Mathematical Analysis|
by Richard Johnsonbaugh
Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition. read more
|Complex Analysis in Banach Spaces|
by Jorge Mujica
The development of complex analysis is based on issues related to holomorphic continuation and holomorphic approximation. This volume presents a unified view of these topics in finite and infinite dimensions. 1986 edition. read more
|Topology for Analysis|
by Albert Wilansky
Three levels of examples and problems make this volume appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important topological concepts. 1970 edition. read more
|Intermediate Mathematical Analysis|
by Anthony E. Labarre, Jr.
Focusing on concepts rather than techniques, this text deals primarily with real-valued functions of a real variable. Complex numbers appear only in supplements and the last two chapters. 1968 edition. read more
|An Introduction to Mathematical Analysis|
by Robert A. Rankin
Dealing chiefly with functions of a single real variable, this text by a distinguished educator introduces limits, continuity, differentiability, integration, convergence of infinite series, double series, and infinite products. 1963 edition. read more
|Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrödinger Equations|
by Samuel S. Holland, Jr.
Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition. read more
|Analysis in Euclidean Space|
by Kenneth Hoffman
Developed for a beginning course in mathematical analysis, this text focuses on concepts, principles, and methods, offering introductions to real and complex analysis and complex function theory. 1975 edition.
|Applied Nonlinear Analysis|
by Jean-Pierre Aubin
This introductory text offers simple presentations of the fundamentals of nonlinear analysis, with direct proofs and clear applications. Topics include smooth/nonsmooth functions, convex/nonconvex variational problems, economics, and mechanics. 1984 edition.
by Gabriel Klambauer
Concise in treatment and comprehensive in scope, this text for graduate students introduces contemporary real analysis with a particular emphasis on integration theory. Includes exercises. 1973 edition.
|Applied Nonstandard Analysis|
by Prof. Martin Davis
This applications-oriented text assumes no knowledge of mathematical logic in its development of nonstandard analysis techniques and their applications to elementary real analysis and topological and Hilbert space. 1977 edition.
|Introduction to Analysis|
by Maxwell Rosenlicht
Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition. read more
|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. 1967 edition. read more
|Introductory Real Analysis|
by Richard A. Silverman
A. N. Kolmogorov
S. V. Fomin
Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, more. 1970 edition.