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Single Variable Calculus
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James Stewart
James Stewart has revised this calculus text, retaining the focus on problem solving, accuracy, explanations and the carefully graded problems. In this edition, Stewart has increased his emphasis on technology and innovation and has expanded his focus on problem solving and applications. When writing his previous editions, Stewart set out to bring ...
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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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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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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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Vector Calculus
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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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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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Vectors, Tensors and the Basic Equations of Fluid Mechanics
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Rutherford Aris
Introductory text for engineers, physicists, and applied mathematicians applies the mathematics of Cartesian and general tensors to physical field theories. Advanced undergraduate-graduate level. Exercises. Appendixes.
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Vector Calculus
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Paul C Matthews
Vector calculus is the foundation stone on which a vast amount of applied mathematics is based. Topics such as fluid dynamics, solid mechanics and electromagnetism depend heavily on the calculus of vector quantities in three dimensions. This book covers the material in a comprehensive but concise manner, combining mathematical rigour with physical ...
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Tensor Calculus
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J. L. Synge, Alfred Schild
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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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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Tensor analysis on manifolds
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Richard L. Bishop
Proceeds from general to special, including chapters on vector analysis on manifolds and integration theory.
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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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Vectors and their applications
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Anthony J Pettofrezzo
This text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of 2- and 3-dimensional space. Its rigorous development includes a complete treatment of the algebra of vectors. Most of the theorems include proofs, and coordinate position vectors receive an in ...
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Vector Analysis and an Introduction to Tensor Analysis
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Murray R Spiegel, Seymour Lipschutz, Ph.D., Dennis Spellman
The guide to vector analysis that helps students study faster, learn better, and get top grades More than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's is better than ever-with a new look, a new format with hundreds of practice problems, and completely updated information to ...
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Optimization by Vector Space Methods
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David Gilbert Luenberger
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization ...
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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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Mathematical Analysis: Linear and Metric Structures and Continuity
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Mariano Giaquinta, Giuseppe Modica
This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces. The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self ...
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Calculus of vector functions
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Richard E Williamson
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Mathematics for Quantum Mechanics: An Introductory Survey of Operators, Eigenvalues, and Linear Vector Spaces
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John David Jackson
This concise text for advanced undergraduates and graduate students covers eigenvalue problems in classical physics, orthogonal functions and expansions, the Sturm-Liouville theory and linear operators on functions, and linear vector spaces. It emphasizes the unity of a variety of techniques and is enduringly relevant to many physical systems. ...
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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 Analysis Problem Solver
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James R Ogden, Research & Education Association, Rea
Covers all topics of vector calculus, including vector differentiation and integration, theorems of Green and Stokes, and the divergence theorem. Special topics in tensor notation, linear algebra, differentiation geometry, and curvilinear coordinates are also included.
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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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A History of Vector Analysis: The Evolution of the Idea of a Vectorial System
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Michael J Crowe
Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers created by Hamilton and Grassmann to the final acceptance around 1910 of the modern system of vector analysis. 1967 edition.
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Vector Calculus
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Thomas H Barr
For one semester, sophomore-level courses in Vector Calculus and Multivariable Calculus. This brief book presents an accessible treatment of multivariable calculus with an early emphasis on linear algebra as a tool. The organization of the text draws strong analogies with the basic ideas of elementary calculus (derivative, integral, and ...
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Vector and tensor analysis with applications
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Aleksandr Ivanovich Borisenko
This text explores the concept of tensor and algebraic operations on tensors. Also includes a study of the differential and integral calculus of vector and tensor functions of space and time, more. Problems with solutions.
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