Author | Seymour Lipschutz | |

ISBN-10 | 9780071615457 | |

Release | 2009-05-04 | |

Pages | 238 | |

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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 conform to the latest developments in every field of study. Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved. |

Author | Spiegel | |

ISBN-10 | 0070682585 | |

Release | 1959 | |

Pages | ||

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Vector Analysis Schaum S Outline has been writing in one form or another for most of life. You can find so many inspiration from Vector Analysis Schaum S Outline also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Vector Analysis Schaum S Outline book for free. |

Author | DIPAK CHATTERJEE | |

ISBN-10 | 8120327322 | |

Release | 2005-01-01 | |

Pages | 272 | |

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This fully revised and thoroughly updated second edition takes into account the constructive suggestions received from teachers and students alike on the first edition. A new chapter on Generalized Coordinate System has been added to make the book complete. Some more examples have been provided to highlight the applicability of vectors in physics and engineering. The answers to all the end-of-chapter exercises have been given in this edition to enhance the utility of the book. Beginning with the basic concepts of vector methods and various operations of vector-valued functions such as continuity, differentiability, and integrability, the three fundamental differential operators-gradient, divergence, and curl-are fully explored. The text then moves on to provide the essentials of differential geometry with particular reference to curvature and torsion, and Serret-Frenet equations. The chapter on mechanics demonstrates the strength of vectors in tackling physical problems. The book concludes with a new chapter on notions of vectors in the generalized coordinate system. This book is primarily intended for use by undergraduate students of mathematics and science for a course in vector analysis. It will also be useful to engineering students, as part of a course in engineering mathematics, where they are introduced to vector algebra, so essential for assimilating a better understanding of the physical aspects of the theory. |

Author | D. E. Bourne | |

ISBN-10 | 9781483260709 | |

Release | 2014-05-10 | |

Pages | 266 | |

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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. |

Author | Louis Brand | |

ISBN-10 | 9780486154848 | |

Release | 2012-06-22 | |

Pages | 304 | |

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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. |

Author | Harry F. Davis | |

ISBN-10 | 8185461783 | |

Release | 1990 | |

Pages | 408 | |

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Introduction to Vector Analysis has been writing in one form or another for most of life. You can find so many inspiration from Introduction to Vector Analysis also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Introduction to Vector Analysis book for free. |

Author | Murray R. Spiegel | |

ISBN-10 | 007060228X | |

Release | 1968-06-01 | |

Pages | 225 | |

Download Link | Click Here |

Confusing Textbooks? Missed Lectures? Not Enough Time? . . Fortunately for you, there's Schaum's. More than 40 million students have trusted Schaum's Outlines to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. . . This Schaum's Outline gives you. . Practice problems with full explanations that reinforce knowledge. Coverage of the most up-to-date developments in your course field. In-depth review of practices and applications. . Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!. . Schaum's Outlines-Problem Solved.. |

Author | Kwong-Tin Tang | |

ISBN-10 | 9783540302704 | |

Release | 2006-12-13 | |

Pages | 339 | |

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Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses. |

Author | Paul C. Matthews | |

ISBN-10 | 9781447105978 | |

Release | 2012-12-06 | |

Pages | 182 | |

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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. |

Author | J.G. Simmonds | |

ISBN-10 | 9781468401417 | |

Release | 2012-12-06 | |

Pages | 92 | |

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When I was an undergraduate, working as a co-op student at North American Aviation, I tried to learn something about tensors. In the Aeronautical En gineering Department at MIT, I had just finished an introductory course in classical mechanics that so impressed me that to this day I cannot watch a plane in flight-especially in a tum-without imaging it bristling with vec tors. Near the end of the course the professor showed that, if an airplane is treated as a rigid body, there arises a mysterious collection of rather simple looking integrals called the components of the moment of inertia tensor. Tensor-what power those two syllables seemed to resonate. I had heard the word once before, in an aside by a graduate instructor to the cognoscenti in the front row of a course in strength of materials. "What the book calls stress is actually a tensor. . . ." With my interest twice piqued and with time off from fighting the brush fires of a demanding curriculum, I was ready for my first serious effort at self instruction. In Los Angeles, after several tries, I found a store with a book on tensor analysis. In my mind I had rehearsed the scene in which a graduate stu dent or professor, spying me there, would shout, "You're an undergraduate. |

Author | Jerrold E. Marsden | |

ISBN-10 | 9781464119415 | |

Release | 2012-01-09 | |

Pages | 752 | |

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This bestselling vector calculus text helps students gain a solid, intuitive understanding of this important subject. The book's careful contemporary balance between theory, application, and historical development, provides readers with insights into how mathematics progresses and is in turn influenced by the natural world. The new edition offers a contemporary design, an increased number of practice exercises, and content changes based on reviewer feedback, giving this classic text a modern appeal. |

Author | Chen-to Tai | |

ISBN-10 | 0780334132 | |

Release | 1997-04-15 | |

Pages | 192 | |

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Unmatched in its coverage of the topic, the first edition of GENERALIZED VECTOR AND DYADIC ANALYSIS helped revolutionize the treatment of boundary-value problems, establishing itself as a classic in the field. This expanded, revised edition is the most comprehensive book available on vector analysis founded upon the new method symbolic vector. GENERALIZED VECTOR AND DYADIC ANALYSIS presents a copious list of vector and dyadic identities, along with various forms of Green's theorems with derivations. In addition, this edition presents an historical study of the past mis-understandings and contradictions that have occurred in vector analysis presentations, furthering the reader's understanding of the subject. Sponsored by: IEEE Antennas and Propagation Society. |

Author | A. W. Joshi | |

ISBN-10 | 8122405630 | |

Release | 1995-01-01 | |

Pages | 342 | |

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The First Part Of This Book Begins With An Introduction To Matrices Through Linear Transformations On Vector Spaces, Followed By A Discussion On The Algebra Of Matrices, Special Matrices, Linear Equations, The Eigenvalue Problem, Bilinear And Quadratic Forms, Kronecker Sum And Product Of Matrices. Other Matrices Which Occur In Physics, Such As The Rotation Matrix, Pauli Spin Matrices And Dirac Matrices, Are Then Presented. A Brief Account Of Infinite Matrices From The Point Of View Of Matrix Formulation Of Quantum Mechanics Is Also Included. The Emphasis In This Part Is On Linear Dependence And Independence Of Vectors And Matrices, Linear Combinations, Independent Parameters Of Various Special Matrices And Such Other Concepts As Help The Student In Obtaining A Clear Understanding Of The Subject. A Simplified Proof Of The Theorem That A Common Set Of Eigenvectors Can Be Found For Two Commuting Matrices Is Given. The Second Part Deals With Cartesian And General Tensors. Many Physical Situations Are Discussed Which Require The Use Of Second And Higher Rank Tensors, Such As Effective Mass Tensor, Moment Of Inertia Tensor, Stress, Strain And Elastic Constants, Piezoelectric Strain Coefficient Tensor, Etc. Einsteins Summation Convention Is Explained In Detail And Common Errors Arising In Its Use Are Pointed Out. Rules For Checking The Correctness Of Tensor Equations Are Given. This Is Followed By Four-Vectors In Special Relativity And Covarient Formulation Of Electrodynamics. This Part Comes To An End With The Concept Of Parallel Displacement Of Vectors In Riemannian Space And Covariant Derivative Of Tensors, Leading To The Curvature Tensors And Its Properties.Appendix I Has Expanded And Two New Appendices Have Been Added In This Edition. |

Author | Eutiquio C. Young | |

ISBN-10 | 0824787897 | |

Release | 1992-12-22 | |

Pages | 518 | |

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Revised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic procedures, and exploring highly complex and technical topics in simplified settings.;This text: incorporates transformation of rectangular cartesian coordinate systems and the invariance of the gradient, divergence and the curl into the discussion of tensors; combines the test for independence of path and the path independence sections; offers new examples and figures that demonstrate computational methods, as well as carify concepts; introduces subtitles in each section to highlight the appearance of new topics; provides definitions and theorems in boldface type for easy identification. It also contains numerical exercises of varying levels of difficulty and many problems solved. |

Author | ||

ISBN-10 | 9380599056 | |

Release | ||

Pages | ||

Download Link | Click Here |

Vector Tensor Analysis has been writing in one form or another for most of life. You can find so many inspiration from Vector Tensor Analysis also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Vector Tensor Analysis book for free. |

Author | Klaus Jänich | |

ISBN-10 | 0387986499 | |

Release | 2001-02-16 | |

Pages | 284 | |

Download Link | Click Here |

This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality. The material is accessible to readers and students with only calculus and linear algebra as prerequisites. A large number of illustrations, exercises, and tests with answers make this book an invaluable self-study source. |

Author | Antonio Galbis | |

ISBN-10 | 9781461422006 | |

Release | 2012-03-29 | |

Pages | 375 | |

Download Link | Click Here |

The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes' theorem, and divergence theorem. This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further. |