Description: The first half of the book deals with degree theory, the Pontryagin construction, intersection theory, and Lefschetz numbers. The second half of the book is devoted to differential forms and deRham cohomology.
Description: Download the latest draft copy of Professor Robert Harper’s Practical Foundations for Programming Languages in pdf format. This book offers a fresh perspective on the fundamentals of programming languages through the use of type theory.
Geometry, Descriptive
Description: Thesis (M.S.)--Naval Postgraduate School, 1969
Description: This note covers the following topics: The Weyl fractional integral and the Mellin transform, Electrical circuits with fractance, Generalized voltage divider, Fractional calculus in viscoelasticity, Fractional order multipoles in electromagnetism.
Description: First part of this course note presents a rapid overview of metric spaces to set the scene for the main topic of topological spaces.Further it covers metric spaces, Continuity and open sets for metric spaces, Closed sets for metric spaces, Topological spaces, Interior and closure, More on topological structures, Hausdorff spaces and Compactness.
Description: This book is addressed to the reader who wishes to cover a greater distance in a short time and arrive at the front line of contemporary research. This book can serve as a basis for graduate topics courses. Exercises play a prominent role while historical and cultural comments relate the subject to a broader mathematical context.
Description: Goal of this course note is to teach commutative algebra and some topics in algebraic geometry in a parallel manner.
History, Modern
Description: English, French, German
Description: Official organ of the International Commission on Mathematical Instruction, 1955-
Supplemental catalog subcollection information: American Libraries Collection; American University Library Collection; Historical Literature; How a famous engineer [Bidder] taught himself arithmetic: chap. VII; Chapters XV-XVIII... summarize a course of u
Supplemental catalog subcollection information: American Libraries Collection; American University Library Collection; Bibliography: p. v
Description: This note covers the following topics: Vector spaces and their topology, Linear Operators and Functionals, The Open Mapping Theorem, Uniform Boundedness Principle, The Closed Range Theorem, Weak Topologies, Compact Operators and their Spectra, General Spectral Theory.
Description: Much of early algebra centred around the search for explicit formulae for roots of polynomial equations in one or more unknowns. The solution of linear and quadratic equations in a single unknown was well understood in antiquity, while formulae for the roots of general real cubics and quartics was solved by the 16th century. These solutions involved complex numbers rather than just real numbers. By the early 19th century no general solution of a general poly...