|Conformal Mapping: Methods and Applications|
by Roland Schinzinger
Patricio A. A. Laura
This volume introduces the basic mathematical tools behind conformal mapping, describes advances in technique, and illustrates a broad range of applications. 1991 edition. Includes 247 figures and 38 tables.
|The Concept of a Riemann Surface|
by Hermann Weyl
Gerald R. MacLane
This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition. read more
by Luther Pfahler Eisenhart
This concise text by a prominent mathematician deals chiefly with manifolds dominated by the geometry of paths. Topics include asymmetric and symmetric connections, the projective geometry of paths, and the geometry of sub-spaces. 1927 edition.
|On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises|
by Felix Klein
This work examines the 1st part of Riemann's Theory of Abelian Functions and is extremely useful in its formulations of the topological equivalents of Riemann's surfaces. 1893 edition. Includes 43 figures.
|The Riemann Zeta-Function: Theory and Applications|
by Aleksandar Ivic
This text covers exponential integrals and sums, 4th power moment, zero-free region, mean value estimates over short intervals, higher power moments, omega results, zeros on the critical line, zero-density estimates, and more. 1985 edition.
|Riemann's Zeta Function|
by H. M. Edwards
Superb study of the landmark 1859 publication entitled "On the Number of Primes Less Than a Given Magnitude" traces the developments in mathematical theory that it inspired. Topics include Riemann's main formula, the Riemann-Siegel formula, more. read more
|Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces|
by Richard Courant
An examination of approaches to easy-to-understand but difficult-to-solve mathematical problems, this classic text explores conformal mapping on parallel-slit domains, Plateau's problem, the general problem of Douglas, more. 1950 edition.
by Antoni A. Kosinski
Introductory text for advanced undergraduates and graduate students presents systematic study of the topological structure of smooth manifolds, starting with elements of theory and concluding with method of surgery. 1993 edition. read more
|Introduction to Differentiable Manifolds|
by Louis Auslander
Robert E. MacKenzie
This text presents basic concepts in the modern approach to differential geometry. Topics include Euclidean spaces, submanifolds, and abstract manifolds; fundamental concepts of Lie theory; fiber bundles; and multilinear algebra. 1963 edition. read more
|Tensor Analysis on Manifolds|
by Richard L. Bishop
Samuel I. Goldberg
Balanced between formal and abstract approaches, this text covers function-theoretical and algebraic aspects, manifolds and integration theory, adaptation to classical mechanics, more. "First-rate." — American Mathematical Monthly. 1980 edition. read more
|Topology of 3-Manifolds and Related Topics|
by M.K. Fort, Jr.
Summaries and full reports from a 1961 conference discuss decompositions and subsets of 3-space; n-manifolds; knot theory; the Poincaré conjecture; and periodic maps and isotopies. Familiarity with algebraic topology required. 1962 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
|Complex Analysis with Applications|
by Richard A. Silverman
The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition. 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.
|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
|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
|Concepts of Modern Mathematics|
by Ian Stewart
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations. read more
|Mathematics: Its Content, Methods and Meaning|
by M. A. Lavrent’ev
A. D. Aleksandrov
A. N. Kolmogorov
Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.