Vector Calculus
Title | Vector Calculus PDF eBook |
Author | Miroslav Lovric |
Publisher | John Wiley & Sons |
Pages | 638 |
Release | 2007-01-03 |
Genre | Mathematics |
ISBN | 0471725692 |
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 students to use the textbook actively, helping them to both enforce their understanding of the material and to brush up on necessary technical and computational skills. Particular attention has been given to the material that some students find challenging, such as the chain rule, Implicit Function Theorem, parametrizations, or the Change of Variables Theorem.
Text Book of Vector Calculus
Title | Text Book of Vector Calculus PDF eBook |
Author | Anil Kumar Sharma |
Publisher | Discovery Publishing House |
Pages | 312 |
Release | 2010 |
Genre | Vector analysis |
ISBN | 9788183560948 |
Contents: Differentiation and Integration of Vectors, Multiple Vectors, Gradient, Divergence and Curl, Green s Gauss s and Stoke s Theorem.
Second Year Calculus
Title | Second Year Calculus PDF eBook |
Author | David M. Bressoud |
Publisher | Springer Science & Business Media |
Pages | 399 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461209595 |
Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics.
Vector Calculus
Title | Vector Calculus PDF eBook |
Author | Paul C. Matthews |
Publisher | Springer Science & Business Media |
Pages | 189 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1447105974 |
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.
A TEXTBOOK OF VECTOR CALCULUS
Title | A TEXTBOOK OF VECTOR CALCULUS PDF eBook |
Author | SHANTI NARAYAN |
Publisher | S. Chand Publishing |
Pages | 368 |
Release | 2003 |
Genre | Mathematics |
ISBN | 8121901618 |
A TEXTBOOK OF VECTOR CALCULUS
Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach
Title | Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach PDF eBook |
Author | John Hamal Hubbard |
Publisher | |
Pages | 284 |
Release | 2009 |
Genre | Algebras, Linear |
ISBN | 9780971576674 |
Vector Calculus
Title | Vector Calculus PDF eBook |
Author | Jerrold E. Marsden |
Publisher | Macmillan |
Pages | 712 |
Release | 2003-08 |
Genre | Mathematics |
ISBN | 9780716749929 |
'Vector Calculus' helps students foster computational skills and intuitive understanding with a careful balance of theory, applications, and optional materials. This new edition offers revised coverage in several areas as well as a large number of new exercises and expansion of historical notes.