Vector Fields

Vector Analysis Developed Through Its Application to Engineering and Physics

Author: J. A. Shercliff

Publisher: CUP Archive

ISBN: 9780521213066

Category: Mathematics

Page: 329

View: 7934

This 1977 book was written for any reader not content with a purely mathematical approach to fields. In letting the mathematical concepts invent themselves out of the need to describe the physical world quantitatively, Professor Shercliff shows how the same mathematical ideas may be used in a wide range of apparently different contexts.

Heart's Vortex

Intracardiac Blood Flow Phenomena

Author: Ares Pasipoularides

Publisher: PMPH-USA

ISBN: 9781607950332

Category: Medical

Page: 927

View: 766

This outstanding resource provides a comprehensive guide to intracardiac blood flow phenomena and cardiac hemodynamics, including the developmental history, theoretical frameworks, computational fluid dynamics and practical applications for clinical cardiology, cardiac imaging and embryology. It is not a mere compilation of the most up-to-date scientific data and relevant concepts. Rather, it is an integrated educational means to developing pluridisciplinary background, knowledge and understanding. Such understanding allows an appreciation of the crucial, albeit heretofore generally unappreciated, importance of intracardiac blood flow phenomena in a host of multifaceted functional and morphogenetic cardiac adaptations. The book includes over 400 figures, which were prepared by the author and form a vital part of the pedagogy. It is organized in three parts. Part I, Fundamentals of Intracardiac Flows and Their Measurements Part II, Visualization of Intracardiac Blood Flows: Methodologies, Frameworks and Insights Part III contains an Appendix presenting technical aspects of the method of predetermined boundary motion, “PBM,†developed at Duke University by the author and his collaborators

New Scientist

Author: N.A

Publisher: N.A


Category: Science

Page: N.A

View: 910

British Book News

Author: N.A

Publisher: N.A


Category: Best books

Page: N.A

View: 9255


Author: N.A

Publisher: N.A


Category: Academic libraries

Page: N.A

View: 2479

Vector Analysis

A Physicist's Guide to the Mathematics of Fields in Three Dimensions

Author: N. Kemmer

Publisher: CUP Archive

ISBN: 9780521211581

Category: Mathematics

Page: 254

View: 8761

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 adding to the available textbooks on vector analysis stems from Professor Kemmer's novel presentation of the subject developed through many years of teaching, and in relating the mathematics to physical models. While maintaining mathematical precision, the methodology of presentation relies greatly on the visual, geometric aspects of the subject and is supported throughout the text by many beautiful illustrations that are more than just schematic. A unification of the whole body of results developed in the book - from the simple ideas of differentiation and integration of vector fields to the theory of orthogonal curvilinear coordinates and to the treatment of time-dependent integrals over fields - is achieved by the introduction from the outset of a method of general parametrisation of curves and surfaces.

Paperbacks in Print

Author: N.A

Publisher: N.A

ISBN: 9780850211030

Category: Paperbacks

Page: 1030

View: 5048

Mathematical Methods for Engineers and Scientists 2

Vector Analysis, Ordinary Differential Equations and Laplace Transforms

Author: Kwong-Tin Tang

Publisher: Springer Science & Business Media

ISBN: 3540302689

Category: Science

Page: 339

View: 1077

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.

British Books in Print

Author: N.A

Publisher: N.A


Category: Publishers' catalogs

Page: 6883

View: 1991

Simon Stevin

Author: N.A

Publisher: N.A


Category: Mathematics

Page: N.A

View: 2461

Mathematical Systems Theory I

Modelling, State Space Analysis, Stability and Robustness

Author: Diederich Hinrichsen,Anthony J. Pritchard

Publisher: Springer Science & Business Media

ISBN: 9783540264101

Category: Mathematics

Page: 804

View: 5193

This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.

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: 5959

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.

Visualization of Fields and Applications in Engineering

Author: Stephen Tou

Publisher: John Wiley & Sons

ISBN: 0470978465

Category: Technology & Engineering

Page: 384

View: 2813

Driven by advances in computer technology, engineering analysis has developed rapidly and extensively in recent times; Visualization of Fields and Applications in Engineering presents the basic techniques for tensor field visualization and mapping of engineering data. Focusing on the fundamental aspects of post processing databases and applications outputs, the author explores existing theories and their integration in tensor field visualization and analysis. The subject covers fundamental theories through to integrated, multi-disciplinary technologies with practical applications in engineering, computer /general sciences. Visualization of Fields and Applications in Engineering is suitable for academic use and to serve as a source of reference. It will appeal to those who work in the engineering and science professions or in pursuit of academic training/ research. Offers a unique engineering approach to basic techniques for tensor field visualization and mapping Collates together material currently disseminated throughout the literature into one accessible point of reference Presents examples with applications beyond and across many disciplines.

Engineering Electromagnetics

Author: Nathan Ida

Publisher: Springer

ISBN: 3319078062

Category: Technology & Engineering

Page: 1046

View: 8249

This book provides students with a thorough theoretical understanding of electromagnetic field equations and it also treats a large number of applications. The text is a comprehensive two-semester textbook. The work treats most topics in two steps – a short, introductory chapter followed by a second chapter with in-depth extensive treatment; between 10 to 30 applications per topic; examples and exercises throughout the book; experiments, problems and summaries. The new edition includes: modifications to about 30-40% of the end of chapter problems; a new introduction to electromagnetics based on behavior of charges; a new section on units; MATLAB tools for solution of problems and demonstration of subjects; most chapters include a summary. The book is an undergraduate textbook at the Junior level, intended for required classes in electromagnetics. It is written in simple terms with all details of derivations included and all steps in solutions listed. It requires little beyond basic calculus and can be used for self-study. The wealth of examples and alternative explanations makes it very approachable by students. More than 400 examples and exercises, exercising every topic in the book Includes 600 end-of-chapter problems, many of them applications or simplified applications Discusses the finite element, finite difference and method of moments in a dedicated chapter

Mathematics for Physical Science and Engineering

Symbolic Computing Applications in Maple and Mathematica

Author: Frank E. Harris

Publisher: Academic Press

ISBN: 0128010495

Category: Mathematics

Page: 944

View: 1626

Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration. This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science. Clarifies each important concept to students through the use of a simple example and often an illustration Provides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple) Shows how symbolic computing enables solving a broad range of practical problems