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DIV, Grad, Curl, & All That: An Informal Text on Vector Calculus
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Harry M Schey
This advanced calculus text is suitable for mathematicians, engineers and physicists. For this second edition the artwork has been completely revised and there is a new section on simple connectedness. Enabling students to gain a thorough understanding of the divergence, gradiant, curl and Laplacian vectors, this text is presented in an informal ...
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Vector calculus
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Jerrold E Marsden, Anthony J Tromba
This text helps students foster computational skills and intuitive understanding with a careful balance of theory, applications and optional materials. This edition offers revised coverage in several areas and a new section looking at applications to differential geometry, physics and forms of life as well as a large number of new exercises and ...
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Advanced Engineering Mathematics
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Dennis G Zill
The authors provide discussions on such topics as differential equations, vector analysis, matrix algebra, complex analysis, boundary value problems and numerical methods. Features of the book include its clarity of presentation and the number and calibre of the exercises and examples. For flexibility in topic selection the book is divided into ...
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Finite-Dimensional Vector Spaces
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Paul Richard Halmos
As a newly minted Ph.D., Paul Halmos came to the Institute for Advanced Study in 1938 - even though he did not have a fellowship - to study among the many giants of mathematics who had recently joined the faculty. He eventually became John von Neumann's research assistant, and it was one of von Neumann's inspiring lectures that spurred Halmos to ...
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Schaum's Outline of Tensor Calculus
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David C Kay
The primary tool in the theory of relativity, tensor calculus is also important in continuum mechanics and differential geometry. This book takes a nonabstract, easy-to-understand approach, developing in numerous examples and solved problems those topics most pertinent to physics and engineering students.
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Tensor Calculus
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J. L. Synge, A. Schulb
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.
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Multivariable Mathematics
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Richard E Williamson, Hale F Trotter
For courses in second-year calculus, linear calculus and differential equations. This text explores the standard problem-solving techniques of multivariable mathematics - integrating vector algebra ideas with multivariable calculus and differential equations. This text offers a full year of study and the flexibility to design various one-term and ...
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Introduction to vector analysis
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Harry F. Davis
Focusing on vector analysis, this book aims to meet the professional needs of the engineer or scientist, and to give the mathematician an understanding of the three-dimensional versions of the theorems of higher geometry. Concepts are described geometrically and then examined analytically, allowing the reader to visualize a concept before it is ...
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Vector Calculus
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by
Susan Jane Coney
A traditional and accessible calculus text with a strong conceptual and geometric slant that assumes a background in single - variable calculus. The text uses the language and notation of vectors and matrices to clarify issues in multivariable calculus. It is designed to provide a greater challenge than the multivariable material typically found ...
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DIV, Grad, Curl, and All That: An Informal Text on Vector Calculus
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H M Schev, Harry M Schey
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Vector methods applied to differential geometry,mechanics,and potential theory.
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by
Daniel Edwin Rutherford
Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A brief chapter on 4-dimensional vectors concludes the text. 1957 edition.
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Vector Calculus 4e
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Jerrold E. Marsden, Anthony J. Tromba
This acclaimed course in the calculus of functions of several variables and vector analysis is aimed mainly at second-year undergraduates. Marsden and Tromba provide a concrete, student-oriented text that fosters computational skills and intuitive understanding. The Fourth Edition maintains the balance between theory, applications, optional ...
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Schaum's Outline of Vector Analysis
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by
Murray Spiegel
This book includes 480 solved problems.
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Tensors, Differential Forms, and Variational Principles
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David Lovelock
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.
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Introduction to vector and tensor analysis
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by
Robert C. Wrede
Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of 2 variables, line integrals, integral theorems, more.
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Cartesian tensors
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Sir Harold Jeffreys
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Tensor analysis on manifolds
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by
Richard L. Bishop
Proceeds from general to special, including chapters on vector analysis on manifolds and integration theory.
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Vector Analysis
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by
Klaus Janich, Leslie Kay
Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators; line, surface, and volume integrals; and the integral theorems of Gauss, Stokes, and Green. Modern vector analysis distills these into the Cartan calculus and a general form of Stokes' theorem. This essentially modern text carefully develops vector ...
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Vector Analysis
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by
Louis Brand
This text for undergraduates 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. Uses of the potential function, both scalar and vector, are fully illustrated. 1957 edition. 86 figures.
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Introduction to matrices and vectors
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Jacob T. Schwartz
Concise undergraduate text focuses on problem solving, rather than elaborate proofs. The first three chapters present the basics of matrices, including addition, multiplication, and division. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. 1961 edition. 20 black-and ...
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The absolute differential calculus (calculus of tensors)
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Tullio Levi-Civita
Great 20th-century mathematician's classic work on material necessary for mathematical grasp of theory of relativity.
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Vector calculus
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by
Miroslav Lovric
This book gives a comprehensive and thorough introduction to ideas and major results of the theory of functions of several variables and of modern vector calculus in two and three dimensions. Clear and easy-to-follow writing style, carefully crafted examples, wide spectrum of applications and numerous illustrations, diagrams, and graphs invite ...
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A Brief on Tensor Analysis
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James G Simmonds
This new edition is intended for third and fourth year undergraduates in Engineering, Physics, Mathematics, and the Applied Sciences, and can serve as a springboard for further work in Continuum Mechanics or General Relativity. Starting from a basic knowledge of calculus and matrix algebra, together with fundamental ideas from mechanics and ...
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Vector Analysis
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by
N Kemmer
Vector analysis provides the language that is needed for a precise quantitative statement of the general laws and relationships governing such branches of physics as electromagnetism and fluid dynamics. The account of the subject is aimed principally at physicists but the presentation is equally appropriate for engineers. The justification for ...
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Cartesian Tensors: An Introduction
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by
George Frederick James Temple
An introduction to the theory of Cartesian tensors, this text notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. Covers isotropic tensors and spinor analysis within the confines of Euclidean space; and tensors in orthogonal curvilinear ...
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