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Medieval Ornament: 950 Illustrations

by Karl Alexander von Heideloff

Pictorial archive of precisely detailed engravings of architectural elements — doors, windows, moldings, statuary, decorative stonework, columns, pedestals, rosettes and more — mostly from German Gothic...


Pugin's Gothic Ornament: The Classic Sourcebook of Decorative Motifs with 100 Plates

by Augustus C. Pugin

One hundred plates of royalty-free Gothic designs, meticulously reproduced from rare 19th-century engravings. Many are floral and foliate designs rendered from panels, capitals, borders, brackets, friezes, grotesques,...


Snow Crystals

by W. A. Bentley & W. J. Humphreys

Over 2,000 clear photomicrographs printed on black background of snow crystals. Also frost, rime, hail, and more. Brief text on methodology of research. Absolutely inexhaustible source of design. 202 plates....


Art Forms in Nature

by Ernst Haeckel

Multitude of strangely beautiful natural forms: Radiolaria, Foraminifera, Ciliata, diatoms, calcareous sponges, Tubulariidae, Siphonophora, Semaeostomeae, star corals, starfishes, much more. All images black-and-white....


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 General Theory of Dirichlet's Series

by G. H. Hardy & Marcel Riesz

This classic work by two distinguished mathematicians explains theory and formulas behind Dirichlet's series and offers first systematic account of Riesz's theory of summation of series by typical means. 1915...


Mathematical Papers

by George Green & N. M. Ferrers

This compilation of Green's most significant works includes essays on theories of electricity and magnetism, laws of the equilibrium of fluids, the attractions of ellipsoids of variable densities, and more....


The Philosophy of Mathematics: Translated from Cours de Philosophie Positive by W. M. Gillespie

by Auguste Comte

Written by the nineteenth-century French philosophical founder of positivism, this comprehensive map of mathematical science assigns to each part of the complex whole its true position and value.


The Hindu-Arabic Numerals

by David Eugene Smith & Louis Charles Karpinski

Concise history of the origin and development of Hindu-Arabic numerals recounts international labors of scholars, assesses the historical testimony, and draws conclusions from the evidence. 1911 edition.


Lectures on Partial Differential Equations

by I. G. Petrovsky

Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from...


Elementary Concepts of Topology

by Paul Alexandroff

Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept...


Contributions to the Founding of the Theory of Transfinite Numbers

by Georg Cantor

The famous articles, 1895–7, that founded a new branch of mathematics. Covers addition, multiplication and exponentiation of cardinal numbers, smallest transfinite cardinal numbers, ordinal types of simple...


Non-Euclidean Geometry

by Stefan Kulczycki

This accessible approach features stereometric and planimetric proofs, and elementary proofs employing only the simplest properties of the plane. A short history of geometry precedes the systematic exposition....


Abstract Sets and Finite Ordinals: An Introduction to the Study of Set Theory

by G. B. Keene

This text unites logical and philosophical aspects of set theory in a manner intelligible to mathematicians without training in formal logic and to logicians without a mathematical background. 1961 edition.


The Nature of Mathematics

by Philip E. B. Jourdain

Anyone interested in mathematics will appreciate this survey, which explores the distinction between the body of knowledge known as mathematics and the methods used in its discovery. 1913 edition.


Vector Analysis

by Homer E. Newell

This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include kinematics, mechanics, and electromagnetic theory. Includes...


Projective Geometry

by T. Ewan Faulkner

Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. Examines the conic, the general equation of the 2nd degree, and the relationship between Euclidean and projective...


Theory of Markov Processes

by E. B. Dynkin, D. E. Brown & T. Kovary

An investigation of the logical foundations of the theory behind Markov random processes, this text explores subprocesses, transition functions, and conditions for boundedness and continuity. 1961 edition.


Infinite Series

by James M Hyslop

This concise text focuses on the convergence of real series. Topics include functions and limits, real sequences and series, series of non-negative terms, general series, series of functions, the multiplication...


General Investigations of Curved Surfaces: Edited with an Introduction and Notes by Peter Pesic

by Karl Friedrich Gauss, Adam Hiltebeitel & James Morehead

This influential work defines the concept of surface curvature and presents the important theorem stating that the "Gauss curvature" is invariant under arbitrary isometric deformation of a curved surface. 1902...