Invitation to Dynamical Systems

Author: Edward R. Scheinerman

Publisher: Courier Corporation

ISBN: 0486275329

Category: Mathematics

Page: 408

View: 3040

DOWNLOAD NOW »
This text is designed for those who wish to study mathematics beyond linear algebra but are unready for abstract material. Rather than a theorem-proof-corollary exposition, it stresses geometry, intuition, and dynamical systems. 1996 edition.

Invitation to C*-algebras and Topological Dynamics

Author: Jun Tomiyama

Publisher: World Scientific

ISBN: 9789971503383

Category: Science

Page: 167

View: 8247

DOWNLOAD NOW »
This book is an exposition on the interesting interplay between topological dynamics and the theory of C*-algebras. Researchers working in topological dynamics from various fields in mathematics are becoming more and more interested in this kind of algebraic approach of dynamics. This book is designed to present to the readers the subject in an elementary way, including also results of recent developments.

Invitation to Ergodic Theory

Author: César Ernesto Silva

Publisher: American Mathematical Soc.

ISBN: 0821844202

Category: Mathematics

Page: 262

View: 1114

DOWNLOAD NOW »
This book is an introduction to basic concepts in ergodic theory such as recurrence, ergodicity, the ergodic theorem, mixing, and weak mixing. It does not assume knowledge of measure theory; all the results needed from measure theory are presented from scratch. In particular, the book includes a detailed construction of the Lebesgue measure on the real line and an introduction to measure spaces up to the Caratheodory extension theorem. It also develops the Lebesgue theory of integration, including the dominated convergence theorem and an introduction to the Lebesgue $Lp$spaces.

Invitation to Mathematics

Author: Konrad Jacobs

Publisher: Princeton University Press

ISBN: 9780691025285

Category: Mathematics

Page: 247

View: 5960

DOWNLOAD NOW »
Based on a well-received course designed for philosophy students, this book is an informal introduction to mathematical thinking. The work will be rewarding not only for philosophers concerned with mathematical questions but also for serious amateur mathematicians with an interest in the "frontiers" as well as the foundations of mathematics. In what might be termed a sampler of the discipline, Konrad Jacobs discusses an unusually wide range of topics, including such items of contemporary interest as knot theory, optimization theory, and dynamical systems. Using Euclidean geometry and algebra to introduce the mathematical mode of thought, the author then turns to recent developments. In the process he offers what he calls a "Smithsonian of mathematical showpieces": the five Platonic Solids, the Mbius Strip, the Cantor Discontinuum, the Peano Curve, Reidemeister's Knot Table, the plane ornaments, Alexander's Horned Sphere, and Antoine's Necklace. The treatments of geometry and algebra are followed by a chapter on induction and one on optimization, game theory, and mathematical economics. The chapter on topology includes a discussion of topological spaces and continuous mappings, curves and knots, Euler's polyhedral formula for surfaces, and the fundamental group. The last chapter deals with dynamics and contains material on the Game of Life, circle rotation, Smale's "horseshoe," and stability and instability, among other topics.

An Invitation to Mathematics

From Competitions to Research

Author: Dierk Schleicher,Malte Lackmann

Publisher: Springer Science & Business Media

ISBN: 9783642195334

Category: Mathematics

Page: 220

View: 7695

DOWNLOAD NOW »
This Invitation to Mathematics consists of 14 contributions, many from the world's leading mathematicians, which introduce the readers to exciting aspects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathematics as a rich and lively field of research. The contributions are written for interested students at the age of transition between high school and university who know high school mathematics and perhaps competition mathematics and who want to find out what current research mathematics is about. We hope that it will also be of interest to teachers or more advanced mathematicians who would like to learn about exciting aspects of mathematics outside of their own work or specialization. Together with a team of young ``test readers'', editors and authors have taken great care, through a substantial ``active editing'' process, to make the contributions understandable by the intended readership.

Invitation to Contemporary Physics

Author: Quang Ho-Kim,Narendra Kumar,Harry C. S. Lam

Publisher: World Scientific

ISBN: 9789812383037

Category: Science

Page: 482

View: 9078

DOWNLOAD NOW »
Readership: Students, researchers in physics, chemistry, engineering and mathematics, science writers and general readers.

A Preface to Logic

Author: Morris R. Cohen

Publisher: Courier Dover Publications

ISBN: 0486801853

Category: Philosophy

Page: 224

View: 3233

DOWNLOAD NOW »
Concise and readable, this introductory treatment examines logic and the concept of abstract reasoning as applied to the empirical world, as well as logic and statistical method, probability, scientific models, and more. 1944 edition.

Partielle Differentialgleichungen und numerische Methoden

Author: Stig Larsson,Vidar Thomee

Publisher: Springer-Verlag

ISBN: 3540274227

Category: Mathematics

Page: 272

View: 8645

DOWNLOAD NOW »
Das Buch ist für Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. Für jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enthält der Text jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten Elemente. Den Kapiteln zu elliptischen Gleichungen geht ein Kapitel zum Zweipunkt-Randwertproblem für gewöhnliche Differentialgleichungen voran. Ebenso ist den Kapiteln zu zeitabhängigen Problemen ein Kapitel zum Anfangswertproblem für gewöhnliche Differentialgleichungen vorangestellt. Zudem gibt es ein Kapitel zum elliptischen Eigenwertproblem und zur Entwicklung nach Eigenfunktionen. Die Darstellung setzt keine tiefer gehenden Kenntnisse in Analysis und Funktionalanalysis voraus. Das erforderliche Grundwissen über lineare Funktionalanalysis und Sobolev-Räume wird im Anhang im Überblick besprochen.

Gewöhnliche Differentialgleichungen

Author: Vladimir I. Arnold

Publisher: Springer-Verlag

ISBN: 3642564801

Category: Mathematics

Page: 344

View: 4056

DOWNLOAD NOW »
nen (die fast unverändert in moderne Lehrbücher der Analysis übernommen wurde) ermöglichten ihm nach seinen eigenen Worten, "in einer halben Vier telstunde" die Flächen beliebiger Figuren zu vergleichen. Newton zeigte, daß die Koeffizienten seiner Reihen proportional zu den sukzessiven Ableitungen der Funktion sind, doch ging er darauf nicht weiter ein, da er zu Recht meinte, daß die Rechnungen in der Analysis bequemer auszuführen sind, wenn man nicht mit höheren Ableitungen arbeitet, sondern die ersten Glieder der Reihenentwicklung ausrechnet. Für Newton diente der Zusammenhang zwischen den Koeffizienten der Reihe und den Ableitungen eher dazu, die Ableitungen zu berechnen als die Reihe aufzustellen. Eine von Newtons wichtigsten Leistungen war seine Theorie des Sonnensy stems, die in den "Mathematischen Prinzipien der Naturlehre" ("Principia") ohne Verwendung der mathematischen Analysis dargestellt ist. Allgemein wird angenommen, daß Newton das allgemeine Gravitationsgesetz mit Hilfe seiner Analysis entdeckt habe. Tatsächlich hat Newton (1680) lediglich be wiesen, daß die Bahnkurven in einem Anziehungsfeld Ellipsen sind, wenn die Anziehungskraft invers proportional zum Abstandsquadrat ist: Auf das Ge setz selbst wurde Newton von Hooke (1635-1703) hingewiesen (vgl. § 8) und es scheint, daß es noch von weiteren Forschern vermutet wurde.

Inversive Geometry

Author: Frank Morley

Publisher: Courier Corporation

ISBN: 0486493393

Category: Mathematics

Page: 288

View: 955

DOWNLOAD NOW »
This introduction to algebraic geometry makes particular reference to the operation of inversion. Topics include Euclidean group; inversion; quadratics; finite inversive groups; parabolic, hyperbolic, and elliptic geometries; differential geometry; and more. 1933 edition.

An Invitation to Morse Theory

Author: Liviu I. Nicolaescu

Publisher: Springer Science & Business Media

ISBN: 0387495096

Category: Mathematics

Page: 241

View: 9566

DOWNLOAD NOW »
This book offers readers a taste of the "unreasonable effectiveness" of Morse theory. It covers many of the most important topics in Morse theory along with applications. The book details topics such as Morse-Smale flows, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. In addition, many examples, problems, and illustrations further enhance the value of this useful introduction to Morse Theory.

Modern Dynamical Systems and Applications

Author: Michael Brin,Boris Hasselblatt,Yakov Pesin

Publisher: Cambridge University Press

ISBN: 9780521840736

Category: Mathematics

Page: 458

View: 7528

DOWNLOAD NOW »
This volume presents a wide cross-section of current research in the theory of dynamical systems and contains articles by leading researchers, including several Fields medalists, in a variety of specialties. These are surveys, usually with new results included, as well as research papers that are included because of their potentially high impact. Major areas covered include hyperbolic dynamics, elliptic dynamics, mechanics, geometry, ergodic theory, group actions, rigidity, applications. The target audience includes dynamicists, who will find new results in their own specialty as well as surveys in others, and mathematicians from other disciplines wholook for a sample of current developments in ergodic theory and dynamical systems.

Vorlesungen Über die Zahlentheorie der Quaternionen

Author: Adolf Hurwitz

Publisher: Springer-Verlag

ISBN: 3642475361

Category: Mathematics

Page: 76

View: 4410

DOWNLOAD NOW »
Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Rings and Homology

Author: James P. Jans

Publisher: Courier Dover Publications

ISBN: 0486801896

Category: Mathematics

Page: 96

View: 775

DOWNLOAD NOW »
This concise text is geared toward students of mathematics who have completed a basic college course in algebra. Combining material on ring structure and homological algebra, the treatment offers advanced undergraduate and graduate students practice in the techniques of both areas. After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum condition. Subsequent chapters develop certain elementary homological theories, introducing the functor Ext and exploring the various projective dimensions, global dimension, and duality theory. Each chapter concludes with a set of exercises.

An Invitation to Biomathematics

Author: Raina Robeva,James R. Kirkwood,Robin Lee Davies,Leon Farhy,Boris P. Kovatchev,Martin Straume,Michael L. Johnson

Publisher: Academic Press

ISBN: 9780080550992

Category: Mathematics

Page: 480

View: 5538

DOWNLOAD NOW »
Essential for all biology and biomathematics courses, this textbook provides students with a fresh perspective of quantitative techniques in biology in a field where virtually any advance in the life sciences requires a sophisticated mathematical approach. An Invitation to Biomathematics, expertly written by a team of experienced educators, offers students a solid understanding of solving biological problems with mathematical applications. This text succeeds in enabling students to truly experience advancements made in biology through mathematical models by containing computer-based hands-on laboratory projects with emphasis on model development, model validation, and model refinement. The supplementary work, Laboratory Manual of Biomathematics is available separately ISBN 0123740223, or as a set ISBN: 0123740290) * Provides a complete guide for development of quantification skills crucial for applying mathematical methods to biological problems * Includes well-known examples from across disciplines in the life sciences including modern biomedical research * Explains how to use data sets or dynamical processes to build mathematical models * Offers extensive illustrative materials * Written in clear and easy-to-follow language without assuming a background in math or biology * A laboratory manual is available for hands-on, computer-assisted projects based on material covered in the text

Game, Set and Math

Enigmas and Conundrums

Author: Ian Stewart

Publisher: Courier Corporation

ISBN: 0486150968

Category: Mathematics

Page: 208

View: 7080

DOWNLOAD NOW »
Twelve essays take a playful approach to mathematics, investigating the topology of a blanket, the odds of beating a superior tennis player, and how to distinguish between fact and fallacy.

Quantum Information IV

Proceedings of the Fourth International Conference, Meijo University, Japan, 27 February-1 March 2001

Author: Takeyuki Hida,Kimiaki Saito

Publisher: World Scientific

ISBN: 9789812380203

Category: Science

Page: 200

View: 9996

DOWNLOAD NOW »
Annotation. ...study on the Power of Potential fluctuation in living cells...some properties of measure-valued processes with singular branching rate and other papers.

Geschäftsprozesse für Business Communities

Modellierungssprachen, Methoden, Werkzeuge

Author: Frank Schönthaler,Andreas Oberweis,Gottfried Vossen,Thomas Karle

Publisher: Walter de Gruyter

ISBN: 9783486597561

Category:

Page: 202

View: 9907

DOWNLOAD NOW »
Auf breiter Basis und mit dem Know-how umfassender Forschungstatigkeit das Buch wurde gemeinsam von Gruppen des Karlsruher Institut fur Technologie (KIT), der Universitat Munster, der Hochschule Konstanz, des Forschungszentrum Informatik (FZI) Karlsruhe sowie des Industriepartners Horus software GmbH erarbeitet zeigt das vorliegende Werk innovative Geschaftsprozess-Methoden und -Softwarewerkzeuge auf."

Die Logik des Misslingens

Strategisches Denken in komplexen Situationen

Author: Dietrich Dörner

Publisher: Rowohlt Verlag GmbH

ISBN: 3644011613

Category: Psychology

Page: 352

View: 6790

DOWNLOAD NOW »
«Komplexität erzeugt Unsicherheit. Unsicherheit erzeugt Angst. Vor dieser Angst wollen wir uns schützen. Darum blendet unser Gehirn all das Komplizierte, Undurchschaubare, Unberechenbare aus. Übrig bleibt ein Ausschnitt – das, was wir schon kennen. Weil dieser Ausschnitt aber mit dem Ganzen, das wir nicht sehen wollen, verknüpft ist, unterlaufen uns viele Fehler – der Misserfolg wird logisch programmiert.» (Rheinischer Merkur) Seit Erscheinen der ersten Ausgabe 1989 hat sich «Die Logik des Misslingens» zum «Standardwerk des Querdenkens» für Psychologen, Kognitionswissenschaftler, Risikoforscher und Motivationstrainer entwickelt. Dass komplexe Systeme nicht nur individuelle Entscheidungen, sondern auch Dynamik und erfolgreiches Handeln in Gruppen maßgeblich beeinflussen, ist neu in dieser erweiterten Ausgabe.