Series: Springer Undergraduate Texts in Mathematics and Technology
1st ed. 2017, XIV, 149 p. 60 illus., 33 illus. in color.
Hardcover
ISBN 978-3-319-60791-7
* Solutions manual is available to instructors on springer.com
* Essential and well-illustrated guide to distance geometry
* Incorporates methodologies, solid explanations, and exercises in each chapter
* Contains special chapters on next generation Flash, how to protect
Flash sites from hackers, and heuristics for large data sets
* Details all mathematical prerequisites in an appendix
This textbook, the first of its kind, presents the fundamentals of distance geometry:
theory, useful methodologies for obtaining solutions, and real world applications. Concise
proofs are given and step-by-step algorithms for solving fundamental problems efficiently
and precisely are presented in MathematicaR, enabling the reader to experiment with
concepts and methods as they are introduced. Descriptive graphics, examples, and
problems, accompany the real gems of the text, namely the applications in visualization
of graphs, localization of sensor networks, protein conformation from distance data, clock
synchronization protocols, robotics, and control of unmanned underwater vehicles, to
name several. Aimed at intermediate undergraduates, beginning graduate students,
researchers, and practitioners, the reader with a basic knowledge of linear algebra will
gain an understanding of the basic theories of distance geometry and why they work in
real life.
Softcover reprint of the original 1st ed.
1993, XV, 580 p. 8 illus.
Softcover
ISBN 978-3-642-64754-3
* Contains commentaries
* Contains translation of Stieltjes' main paper
* Complete collection of all papers
This is a new annotated edition of Thomas J. Stieltjes' Collected Papers, first published in
1914 (Vol. I) and 1918 (Vol. II) by Noordhoff, Groningen, in French, and now published
by Springer-Verlag, originally to mark the occasion of the 100th anniversary of Stieltjes'
death (1894). These two volumes will be of great interest to all mathematicians who
are anxious to understand the impact of Stieltjes' work on modern mathematics, and in
particular on the theory of orthogonal polynomials and continued fractions. In addition
to the reproduction of Stieltjes' papers (I*XLVII), Volume I includes about 75 pages of
commentaries by contemporary mathematicians on Stieltjes' work. Volume II contains
Stieltjes' papers XLVIII*LXXXIV together with English translations of his main paper "
Recherches sur les fractions continues" and his short note regarding the Riemann hypothesis. A
Bibliography of Stieltjes' papers is included in both volumes for the convenience of the reader.
Series: Springer Collected Works in Mathematics
1st ed. 1993, Reprinted Softcover 2017,
Approx. 760 p.
Softcover
ISBN 978-3-662-55034-2
* Contains commentaries
* Contains translations of the most important papers
* Collection of all papers
This is a new annotated edition of Thomas J. Stieltjes' Collected Papers, first published in
1914 (Vol. I) and 1918 (Vol. II) by Noordhoff, Groningen, in French, and now published
by Springer-Verlag, originally to mark the occasion of the 100th anniversary of Stieltjes'
death (1894). These two volumes will be of great interest to all mathematicians who
are anxious to understand the impact of Stieltjes' work on modern mathematics, and in
particular on the theory of orthogonal polynomials and continued fractions. In addition
to the reproduction of Stieltjes' papers (I*XLVII), Volume I includes about 75 pages of
commentaries by contemporary mathematicians on Stieltjes' work. Volume II contains
Stieltjes' papers XLVIII*LXXXIV together with English translations of his main paper
"Recherches sur les fractions continues" and his short note regarding the Riemann
hypothesis. A Bibliography of Stieltjes' papers is included in both volumes for the
convenience of the reader.
Series: Encyclopaedia of Mathematical Sciences, Vol. 136
2017, Approx. 330 p. 4 illus.
Hardcover
ISBN 978-3-662-55348-0
* 2nd enlarged edition of first monograph on this topic
* Lot of new material
* Wealth of examples and open problems
This book explores the theory and application of locally nilpotent derivations, a subject
motivated by questions in affine algebraic geometry and having fundamental connections
to areas such as commutative algebra, representation theory, Lie algebras and differential
equations. The author provides a unified treatment of the subject, beginning with 16 First
Principles on which the theory is based. These are used to establish classical results, such
as Rentschler's Theorem for the plane and the Cancellation Theorem for Curves.
More recent results, such as Makar-Limanov's theorem for locally nilpotent derivations
of polynomial rings, are also discussed. Topics of special interest include progress in
classifying additive actions on three-dimensional affine space, finiteness questions
(Hilbert's 14th Problem), algorithms, the Makar-Limanov invariant, and connections to the
Cancellation Problem and the Embedding Problem.
A lot of new material is included in this expanded second edition, such as canonical
factorization of quotient morphisms, and a more extended treatment of linear actions. The
reader will also find a wealth of examples and open problems and an updated resource for
future investigations.
1st ed. 2017, XXV, 628 p. 24 illus.
Hardcover
ISBN 978-3-319-60038-3
* Explores the work of Bernhard Riemann and its impact on
mathematics, philosophy and physics
* Contains expository and historical expositions motivated by
Riemann's ideas
* Includes contributions by mathematicians, physicists, philosophers
and historians of science
This book is on the work of Bernhard Riemann and its impact on mathematics, philosophy
and physics. It contains expository and historical expositions as well as a few research
articles which are motivated by Riemann's ideas and which show their timelessness.
The editors are convinced that there is always a need to go deeply into Riemann's work,
investigating his orignal ideas, including them in a large perspective and establishing
relations with modern science and philosophy. The contributors to this volume are
mathematicians, physicists, philosophers and historians of science.The book is addressed
to students and researchers in mathematics, physics and philosophy, to historians of
science, and more generally to a wide range of readers interested in the history of ideas.
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern
Surveys in Mathematics, Vol. 66
1st ed. 2017, XII, 482 p.
Hardcover
ISBN 978-3-319-61041-2
* The first book to present a comprehensive treatment of profinite
graphs, including applications to profinite and abstract groups
* Includes a complete proof of Serre's theorem on virtually free pro-p
groups without torsion
* Contains appendices on abstract groups and automata theory
This book offers a detailed introduction to graph theoretic methods in profinite groups
and applications to abstract groups. It is the first to provide a comprehensive treatment of
the subject.
The author begins by carefully developing relevant notions in topology, profinite groups
and homology, including free products of profinite groups, cohomological methods in
profinite groups, and fixed points of automorphisms of free pro-p groups. The final part
of the book is dedicated to applications of the profinite theory to abstract groups, with
sections on finitely generated subgroups of free groups, separability conditions in free and
amalgamated products, and algorithms in free groups and finite monoids.
Profinite Graphs and Groups will appeal to students and researchers interested in profinite
groups, geometric group theory, graphs and connections with the theory of formal
languages. A complete reference on the subject, the book includes historical and
bibliographical notes as well as a discussion of open questions and suggestions for further
reading.