Significant research activity has occurred in the area of global optimization in recent years. Many new theoretical, algorithmic, and computational contributions have resulted. Despite the major im...
The aim of this work is the definition of the polyhedral compactification of the Bruhat-Tits building of a reductive group over a local field. In addition, an explicit description of the boundary i...
This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics ...
This textbook offers a thorough, modern introduction into commutative algebra. It is intented mainly to serve as a guide for a course of one or two semesters, or for self-study. The carefully selec...
With the advent of powerful computing tools and numerous advances in math ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Bot...
This textbook in point set topology is aimed at an upper-undergraduate audience. Its gentle pace will be useful to students who are still learning to write proofs. Prerequisites include calculus an...
This textbook provides a concise, visual introduction to Hopf algebras and their application to knot theory, most notably the construction of solutions of the Yang-Baxter equations. Starting with a...
This work is a continuation of the first volume published by Springer in 2011, entitled "A Cp-Theory Problem Book: Topological and Function Spaces." The first volume provided an introduction from s...
This fourth volume in Vladimir Tkachuk's series on -theory gives reasonably complete coverage of the theory of functional equivalencies through 500 carefully selected problems and exercises. By sys...
This textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures. Designed for students with no previous knowledge of the subj...
This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized ...
This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categories are a fundamental tool for the und...
This book takes the reader on a journey from familiar high school mathematics to undergraduate algebra and number theory. The journey starts with the basic idea that new number systems arise from s...
Progressing from the fundamentals of number theory through to Gauss sums and quadratic reciprocity, the first part of this text presents an innovative first course in elementary number theory. The ...
This text deals with A -homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to ...
Reinhold Baer's work on abelian groups.- Pure subgroups of finite rank completely decomposable groups.- On special balanced supgroups of torsionfree separable abelian groups.- Abelian groups finite...
The structure of mixed abelian groups.- Decomposition bases and Ulm's theorem.- The structure of p-trees: Algebraic systems related to abelian groups.- A Guide to valuated groups.- Warfield modules...
This textbook offers an introduction to abelian varieties, a rich topic of central importance to algebraic geometry. The emphasis is on geometric constructions over the complex numbers, notably the...
This textbook offers an introduction to abelian varieties, a rich topic of central importance to algebraic geometry. The emphasis is on geometric constructions over the complex numbers, notably the...
Erklärung der Bezeichnungen.- Erstes Kapitel. Die intermediären Funktionen und das Existenztheorem für die ABELschen Funktionen.- I. Die Perioden meromorpher Funktionen. Riemannsche Matrizen.- II. ...
Abhandlungen von Niels Henrik Abel.- Abhandlung über die algebraischen Gleichungen, in welcher die Unmöglichkeit der Auflösung der allgemeinen Gleichung fünften Grades bewiesen wird (Christiania 18...
Absolute convergence of orthogonal series.- Absolute Nörlund summability almost everywhere of fourier series.- Absolute Nörlund summability almost everywhere of orthogonal series.- Absolute Riesz s...
Boundary value theory for harmonic and holomorphic functions in the unit disk.- Function algebras: The bounded-measurable situation.- Function algebras: The compact-continuous situation.- The abstr...
Der Zugang ist konsequent konstruktiv: anstelle von abstrakten Existenzbeweisen treten konstruktive Verfahren, Lösungen algorithmisch zu berechnen. Dies führt zu vielfältigeren Anwendungsmöglichkei...
The ESPRIT Project 1072, DIAMOND (Development and Integration of Accurate Mathematical Operations in Numerical Data-Processing) was carried out from January 1986 through April 1989 by the five part...
The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with...
This book deals with the general topic "Numerical solution of partial differential equations (PDEs)" with a focus on adaptivity of discretizations in space and time. By and large, introductory text...
The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact. The book s...
The number one requirement for computer arithmetic has always been speed. It is the main force that drives the technology. With increased speed larger problems can be attempted. To gain speed, adva...
