Problems and Worked Solutions in Vector Analysis

Author: L.R. Shorter

Publisher: Courier Corporation

ISBN: 0486795489

Category: Mathematics

Page: 368

View: 351

Devoted to fully worked out examples, this unique text constitutes a self-contained introductory course in vector analysis. Topics include vector addition, subtraction, multiplication, and applications. "Very comprehensive." — The Mathematical Gazette. 1931 edition.
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Vector and Tensor Analysis with Applications

Author: A. I. Borisenko,I. E. Tarapov

Publisher: Courier Corporation

ISBN: 0486131904

Category: Mathematics

Page: 288

View: 2662

Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
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Vector Analysis

Author: Louis Brand

Publisher: Courier Corporation

ISBN: 048615484X

Category: Mathematics

Page: 304

View: 7412

This text was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. 1957 edition. 86 figures.
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A History of Vector Analysis

The Evolution of the Idea of a Vectorial System

Author: Michael J. Crowe

Publisher: Courier Corporation

ISBN: 0486679101

Category: Mathematics

Page: 270

View: 5834

Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.
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Problems in Group Theory

Author: John D. Dixon

Publisher: Courier Corporation

ISBN: 0486459160

Category: Mathematics

Page: 176

View: 9026

265 challenging problems in all phases of group theory, gathered for the most part from papers published since 1950, although some classics are included.
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Vector Calculus

Author: Paul C. Matthews

Publisher: Springer Science & Business Media

ISBN: 1447105974

Category: Mathematics

Page: 182

View: 696

Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These top ics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions. This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants. The book is designed to be self-contained, so that it is suitable for a pro gramme of individual study. Each of the eight chapters introduces a new topic, and to facilitate understanding of the material, frequent reference is made to physical applications. The physical nature of the subject is clarified with over sixty diagrams, which provide an important aid to the comprehension of the new concepts. Following the introduction of each new topic, worked examples are provided. It is essential that these are studied carefully, so that a full un derstanding is developed before moving ahead. Like much of mathematics, each section of the book is built on the foundations laid in the earlier sections and chapters.
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Primer of Quantum Mechanics

Author: Marvin Chester

Publisher: Courier Corporation

ISBN: 0486138208

Category: Science

Page: 328

View: 942

Introductory text examines classical quantum bead on a track: state and representations; operator eigenvalues; harmonic oscillator and bound bead in a symmetric force field; bead in spherical shell. 1992 edition.
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Vector Calculus

Author: P. R. Baxandall,Hans Liebeck

Publisher: N.A

ISBN: 9780486466200

Category: Mathematics

Page: 550

View: 5603

This introductory text offers a rigorous, comprehensive treatment. Classical theorems of vector calculus are amply illustrated with figures, worked examples, physical applications, and exercises with hints and answers. 1986 edition.
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Kronecker Products and Matrix Calculus with Applications

Author: Alexander Graham

Publisher: Courier Dover Publications

ISBN: 0486824179

Category: Mathematics

Page: 144

View: 7165

Enhanced by many worked examples, problems, and solutions, this in-depth text is suitable for undergraduates and presents a great deal of information previously only available in specialized and hard-to-find texts. 1981 edition.
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Vector Analysis and Cartesian Tensors

Author: D. E. Bourne,P. C. Kendall

Publisher: Academic Press

ISBN: 1483260704

Category: Mathematics

Page: 266

View: 3382

Vector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra, and differential geometry of curves. Discussions focus on differentiation rules, vector functions and their geometrical representation, scalar and vector products, multiplication of a vector by a scalar, and angles between lines through the origin. The text then elaborates on scalar and vector fields and line, surface, and volume integrals, including surface, volume, and repeated integrals, general orthogonal curvilinear coordinates, and vector components in orthogonal curvilinear coordinates. The manuscript ponders on representation theorems for isotropic tensor functions, Cartesian tensors, applications in potential theory, and integral theorems. Topics include geometrical and physical significance of divergence and curl, Poisson's equation in vector form, isotropic scalar functions of symmetrical second order tensors, and diagonalization of second-order symmetrical tensors. The publication is a valuable reference for mathematicians and researchers interested in vector analysis and Cartesian tensors.
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Introduction to Vector and Tensor Analysis

Author: Robert C. Wrede

Publisher: Courier Corporation

ISBN: 0486137112

Category: Mathematics

Page: 418

View: 5261

Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.
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Numerical Methods for Scientists and Engineers

Author: Richard Hamming

Publisher: Courier Corporation

ISBN: 0486134822

Category: Mathematics

Page: 752

View: 5567

This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition.
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Fourier Series and Orthogonal Functions

Author: Harry F. Davis

Publisher: Courier Corporation

ISBN: 0486140733

Category: Mathematics

Page: 432

View: 5952

An incisive text combining theory and practical example to introduce Fourier series, orthogonal functions and applications of the Fourier method to boundary-value problems. Includes 570 exercises. Answers and notes.
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Tensor Algebra and Tensor Analysis for Engineers

With Applications to Continuum Mechanics

Author: Mikhail Itskov

Publisher: Springer

ISBN: 3319163426

Category: Technology & Engineering

Page: 290

View: 7477

This is the fourth and revised edition of a well-received book that aims at bridging the gap between the engineering course of tensor algebra on the one side and the mathematical course of classical linear algebra on the other side. In accordance with the contemporary way of scientific publications, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this monograph addresses graduate students as well as scientists working in this field. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.
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Solved Problems in Analysis

As Applied to Gamma, Beta, Legendre and Bessel Functions

Author: Orin J. Farrell,Bertram Ross

Publisher: Courier Corporation

ISBN: 0486783081

Category: Mathematics

Page: 416

View: 5747

Nearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. 1971 edition.
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Curvature in Mathematics and Physics

Author: Shlomo Sternberg

Publisher: Courier Corporation

ISBN: 0486292711

Category: Mathematics

Page: 416

View: 2341

Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.
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Theoretical Physics

Author: Georg Joos,Ira M. Freeman

Publisher: Courier Corporation

ISBN: 0486318532

Category: Science

Page: 928

View: 6419

Classic treatise covers mathematical topics needed by theoretical and experimental physicists (vector analysis, calculus of variations, etc.), followed by coverage of mechanics, electromagnetic theory, thermodynamics, quantum mechanics, and nuclear physics.
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Mathematical Methods

For Students of Physics and Related Fields

Author: Sadri Hassani

Publisher: Springer Science & Business Media

ISBN: 038721562X

Category: Mathematics

Page: 659

View: 9098

Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.
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