Vector analysis by schaum series pdf free download

Features No prior knowledge of the subject is assumed. Sufficient mathematical background is provided to complete the discussion of different topics. Different topics have been properly segmented for easy learning. This makes the textbook pedagogical and unique. Notation is generally introduced in the definitions.

Relatively easy consequences of the definitions are listed as observations, and important results are stated as theorems. Examples are provided for clarity and to enhance reader's understanding of the subject. Each chapter also has a problem section. A majority of the problems are provided with sufficient hints.

The textbook can be used either in an upper-level undergraduate or first-year graduate class in electrical engineering, or computer science, or applied mathematics. It can also be used by professionals and researchers in the field who would like a quick review of the basics of the subject. He is also the author of a comprehensive two-volume work: Mathematical Principles of the Internet, published by the CRC Press in the year Nirdosh earned M. Author : Donald Allan McQuarrie Publisher: University Science Books ISBN: Category: Mathematics Page: View: Read Now » Intended for upper-level undergraduate and graduate courses in chemistry, physics, mathematics and engineering, this text is also suitable as a reference for advanced students in the physical sciences.

Detailed problems and worked examples are included. And this new edition features all the latest applications of discrete mathematics to computer science! This guide can be used as a supplement, to reinforce and strengthen the work you do with your class text.

It works well with virtually any discrete mathematics textbook. But it is so comprehensive that it can even be used alone as a text in discrete mathematics or as independent study tool!

The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles.

Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained.

Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed.

In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's 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.

Author : Robert C. Fortunately for you, theres Schaums Outlines. More than 40 million students have trusted Schaums to help them succeed in the classroom and on exams.

Schaums is the key to faster learning and higher grades in every subject. This Schaums 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, Schaums highlights all the important facts you need to know.

Use Schaums to shorten your study time-and get your best test scores! Schaums Outlines-Problem Solved. The purpose of this book is to explore the systematic application of basic engineering principles to fluid flows that may occur in fluid processing and related activities. In Viscous Fluid Flow, the authors develop and rationalize the mathematics behind the study of fluid mechanics and examine the flows of Newtonian fluids.

Although the material deals with Newtonian fluids, the concepts can be easily generalized to non-Newtonian fluid mechanics. The book contains many examples. Spherical coordinates. Parabolic cylindrical coordinates. Paraboloidal coordinates. Elliptic cylindrical coordinates. Prolate spheroidal coordinates. Oblate spheroidal coordinates. Ellipsoidal coordinates. Bipolar coordinates. Spaces of N dimensions. Coordinate transformations. The summationconvention.

Contravariant and covariant vectors. Contravariant, covariant and mixedtensors. The Kronecker delta. Tensors of rank greater than two.

Scalars or invariants. Tensor fields. Symmetric and skew-symmetric tensors. Fundamental operations withtensors. Matrix algebra. The line element and metric tensor. Conjugate orreciprocal tensors. Associated tensors. Length of a vector. Angle between vectors. Christoffel's symbols. Transformation laws of Christoffel's symbols. Covariant derivatives. Permutation symbols and tensors. Tensor form of gradient,divergence and curl.

The intrinsic or absolute derivative. Relative and absolute tensors. INDEX Graphically a vector is represented by an arrow OP Fig. The tail end 0 of the arrow is called theorigin or initial point of the vector, and the head P is called theterminal point or terminus.

Analytically a vector is represented by a letter with an arrowover it, as A in Fig. We shall use thisbold faced notation in this book. Scalars are indicated by letters in ordinary type as in elementary alge-bra. Operations with scalars follow the same rules as in elementary algebra. The operations of addition, subtraction and multiplication familiar in the alge-bra of numbers or scalars are, with suitable definition, capable of extension. The following definitions are fundamental.

Two vectors A and B are equal if they have the same magnitude and direction regardless of. A vector having direction opposite to that of vector A but having the same magnitude is de-. The sum or resultant of vectors A and B is avector C formed by placing the initial point of Bon the terminal point of A and then joining theinitial point of A to the terminal point of B Fig.

It has zero magnitude and no specific direction. A vector which is notnull is a proper vector. All vectors will be assumed proper unless otherwise stated. The product of a vector A by a scalar m is a vector mA with magnitude Imf times the magni-tude of A and with direction the same as or opposite to that of A, according as m is positiveor negative.

Vector Analysis Schaum's Outline Book. Download for free Report this document. Vector Analysis, Schaum's outlines, fully solved problems. ISBN X 22 23 24 25 26 27 28 29 30SH SH PrefaceVector analysis, which had its beginnings in the middle of the 19th century, has in recent years become an essential part of the mathematical background required of engineers, phy-sicists, mathematicians and other scientists.

The operations of addition, subtraction and multiplication familiar in the alge-bra of numbers or scalars are, with suitable definition, capable of extension to an algebra of vectors. Two vectors A and B are equal if they have the same magnitude and direction regardless of the position of their initial points.

A vector having direction opposite to that of vector A but having the same magnitude is de- noted by -A Fig. The definition here is equivalent to the par-allelogram law for vector addition see Prob. Extensions to sums of more than two vectorsare immediate see Problem 4. If A, B and C are vectors and m and n are scalars, then1.