Tensor Analysis on Manifolds

Author: Richard L. Bishop
Publisher: Courier Corporation
ISBN: 9780486139234
Release Date: 2012-04-26
Genre: Mathematics

DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div

Tensor Calculus

Author: J. L. Synge
Publisher: Courier Corporation
ISBN: 9780486141398
Release Date: 2012-04-26
Genre: Mathematics

Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.

Differentialgeometrie von Kurven und Fl chen

Author: Manfredo P. do Carmo
Publisher: Springer-Verlag
ISBN: 9783322850720
Release Date: 2013-04-17
Genre: Technology & Engineering

Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang

The Mathematics of Games

Author: John D. Beasley
Publisher: Courier Corporation
ISBN: 9780486151625
Release Date: 2013-01-18
Genre: Mathematics

Lucid, instructive, and full of surprises, this book examines how simple mathematical analysis can throw unexpected light on games of every type, from poker to golf to the Rubik's cube. 1989 edition.

Mathematical Physics

Author: Sadri Hassani
Publisher: Springer Science & Business Media
ISBN: 0387985794
Release Date: 2002-02-08
Genre: Science

For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

Exterior Analysis

Author: Erdogan Suhubi
Publisher: Elsevier
ISBN: 9780124159280
Release Date: 2013-09-13
Genre: Mathematics

Exterior analysis uses differential forms (a mathematical technique) to analyze curves, surfaces, and structures. Exterior Analysis is a first-of-its-kind resource that uses applications of differential forms, offering a mathematical approach to solve problems in defining a precise measurement to ensure structural integrity. The book provides methods to study different types of equations and offers detailed explanations of fundamental theories and techniques to obtain concrete solutions to determine symmetry. It is a useful tool for structural, mechanical and electrical engineers, as well as physicists and mathematicians. Provides a thorough explanation of how to apply differential equations to solve real-world engineering problems Helps researchers in mathematics, science, and engineering develop skills needed to implement mathematical techniques in their research Includes physical applications and methods used to solve practical problems to determine symmetry

An Investigation of the Laws of Thought

Author: George Boole
Publisher: Courier Corporation
ISBN: 9780486157504
Release Date: 2012-07-26
Genre: Mathematics

"A classic of pure mathematics and symbolic logic." — Scientific American. A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.

Tensors Differential Forms and Variational Principles

Author: David Lovelock
Publisher: Courier Corporation
ISBN: 9780486131986
Release Date: 2012-04-20
Genre: Mathematics

Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.

Multiobjective Programming and Planning

Author: Jared L. Cohon
Publisher: Courier Corporation
ISBN: 9780486153070
Release Date: 2013-01-18
Genre: Mathematics

This text takes a broad view of multiobjective programming, emphasizing the methods most useful for continuous problems. It reviews methods in the context of public decision-making problems. 1978 edition.

Introduction to Linear Algebra

Author: Marvin Marcus
Publisher: Courier Corporation
ISBN: 0486656950
Release Date: 1965
Genre: Mathematics

Rigorous, self-contained introduction at undergraduate level covers vector spaces and linear transformations, linear equations and determinants, characteristic roots. Includes 16 sets of true-false quizzes and exercises — with worked-out solutions — a complete theory of permutations and much more.

Differential Geometric Structures

Author: Walter A. Poor
Publisher: Dover Publications
ISBN: UOM:39076002711047
Release Date: 2007-06-05
Genre: Mathematics

Useful for independent study and as a reference work, this introduction to differential geometry features many examples and exercises. It defines geometric structure by specifying the parallel transport in an appropriate fiber bundle, focusing on the simplest cases of linear parallel transport in a vector bundle. The treatment opens with an introductory chapter on fiber bundles that proceeds to examinations of connection theory for vector bundles and Riemannian vector bundles. Additional topics include the role of harmonic theory, geometric vector fields on Riemannian manifolds, Lie groups, symmetric spaces, and symplectic and Hermitian vector bundles. A consideration of other differential geometric structures concludes the text, including surveys of characteristic classes of principal bundles, Cartan connections, and spin structures.

Foundations of Probability

Author: Alfred Renyi
Publisher: Courier Corporation
ISBN: 0486462617
Release Date: 2007-01-01
Genre: Mathematics

Introducing many innovations in content and methods, this book involves the foundations, basic concepts, and fundamental results of probability theory. Geared toward readers seeking a firm basis for study of mathematical statistics or information theory, it also covers the mathematical notions of experiments and independence. 1970 edition.

Differentialgeometrie

Author: Wolfgang Kühnel
Publisher: Springer-Verlag
ISBN: 9783834896551
Release Date: 2010-04-14
Genre: Mathematics

Dieses Buch ist eine Einführung in die Differentialgeometrie. Zunächst geht es um die klassischen Aspekte wie die Geometrie von Kurven und Flächen, bevor dann höherdimensionale Flächen sowie abstrakte Mannigfaltigkeiten betrachtet werden. Die Nahtstelle ist dabei das zentrale Kapitel "Die innere Geometrie von Flächen". Dieses führt den Leser bis hin zu dem berühmten Satz von Gauß-Bonnet, der ein entscheidendes Bindeglied zwischen lokaler und globaler Geometrie darstellt. Die zweite Hälfte des Buches ist der Riemannschen Geometrie gewidmet. Den Abschluss bildet ein Kapitel über "Einstein-Räume", die eine große Bedeutung sowohl in der "Reinen Mathematik" als auch in der Allgemeinen Relativitätstheorie von A. Einstein haben. Es wird großer Wert auf Anschaulichkeit gelegt, was durch zahlreiche Abbildungen unterstützt wird. Im Laufe der Neuauflagen wurde der Text erweitert, neue Aufgaben wurden hinzugefügt und am Ende des Buches wurden zusätzliche Hinweise zur Lösung der Übungsaufgaben ergänzt. Der Text wurde für die fünfte Auflage gründlich durchgesehen und an einigen Stellen verbessert.