Essential Math Skills for Engineers.

Format:

Book

Author/Creator:

Paul, Clayton R.

Language:

English

Subjects (All):

Engineering mathematics.

Mathematics.

Local Subjects:

Engineering mathematics.

Mathematics.

Physical Description:

1 online resource (331 p.)

Place of Publication:

Hoboken : Wiley, 2011.

Language Note:

English

Summary:

Just the math skills you need to excel in the study or practice of engineering Good math skills are indispensable for all engineers regardless of their specialty, yet only a relatively small portion of the math that engineering students study in college mathematics courses is used on a frequent basis in the study or practice of engineering. That's why Essential Math Skills for Engineers focuses on only these few critically essential math skills that students need in order to advance in their engineering studies and excel in engineering practice. Essential Math Skills for Engineer

Contents:

Cover Page; Title Page; Copyright Page; Dedication; PREFACE; 1: What Do Engineers Do?; 2: Miscellaneous Math Skills; 2.1 EQUATIONS OF LINES, PLANES, AND CIRCLES; 2.2 AREAS AND VOLUMES OF COMMON SHAPES; 2.3 ROOTS OF A QUADRATIC EQUATION; 2.4 LOGARITHMS; 2.5 REDUCTION OF FRACTIONS AND LOWEST COMMON DENOMINATORS; 2.6 LONG DIVISION; 2.7 TRIGONOMETRY; 2.8 COMPLEX NUMBERS AND ALGEBRA, AND EULER'S IDENTITY; 2.9 COMMON DERIVATIVES AND THEIR INTERPRETATION; 2.10 COMMON INTEGRALS AND THEIR INTERPRETATION; 2.11 NUMERICAL INTEGRATION; 3: Solution of Simultaneous, Linear, Algebraic Equations

3.1 HOW TO IDENTIFY SIMULTANEOUS, LINEAR, ALGEBRAIC EQUATIONS3.2 THE MEANING OF A SOLUTION; 3.3 CRAMER'S RULE AND SYMBOLIC EQUATIONS; 3.4 GAUSS ELIMINATION; 3.5 MATRIX ALGEBRA; 4: Solution of Linear, Constant-Coefficient, Ordinary Differential Equations; 4.1 HOW TO IDENTIFY LINEAR, CONSTANT-COEFFICIENT, ORDINARY DIFFERENTIAL EQUATIONS; 4.2 WHERE THEY ARISE: THE MEANING OF A SOLUTION; 4.3 SOLUTION OF FIRST-ORDER EQUATIONS; 4.4 SOLUTION OF SECOND-ORDER EQUATIONS; 4.5 STABILITY OF THE SOLUTION; 4.6 SOLUTION OF SIMULTANEOUS SETS OF ORDINARY DIFFERENTIAL EQUATIONS WITH THE DIFFERENTIAL OPERATOR

4.7 NUMERICAL (COMPUTER) SOLUTIONS5: Solution of Linear, Constant-Coefficient, Difference Equations; 5.1 WHERE DIFFERENCE EQUATIONS ARISE; 5.2 HOW TO IDENTIFY LINEAR, CONSTANT-COEFFICIENT DIFFERENCE EQUATIONS; 5.3 SOLUTION OF FIRST-ORDER EQUATIONS; 5.4 SOLUTION OF SECOND-ORDER EQUATIONS; 5.5 STABILITY OF THE SOLUTION; 5.6 SOLUTION OF SIMULTANEOUS SETS OF DIFFERENCE EQUATIONS WITH THE DIFFERENCE OPERATOR; 6: Solution of Linear, Constant-Coefficient, Partial Differential Equations; 6.1 COMMON ENGINEERING PARTIAL DIFFERENTIAL EQUATIONS

6.2 THE LINEAR, CONSTANT-COEFFICIENT, PARTIAL DIFFERENTIAL EQUATION6.3 THE METHOD OF SEPARATION OF VARIABLES; 6.4 BOUNDARY CONDITIONS AND INITIAL CONDITIONS; 6.5 NUMERICAL (COMPUTER) SOLUTIONS VIA FINITE DIFFERENCES: CONVERSION TO DIFFERENCE EQUATIONS; 7: The Fourier Series and Fourier Transform; 7.1 PERIODIC FUNCTIONS; 7.2 THE FOURIER SERIES; 7.3 THE FOURIER TRANSFORM; 8: The Laplace Transform; 8.1 TRANSFORMS OF IMPORTANT FUNCTIONS; 8.2 USEFUL TRANSFORM PROPERTIES; 8.3 TRANSFORMING DIFFERENTIAL EQUATIONS; 8.4 OBTAINING THE INVERSE TRANSFORM USING PARTIAL FRACTION EXPANSIONS

9: Mathematics of Vectors9.1 VECTORS AND COORDINATE SYSTEMS; 9.2 THE LINE INTEGRAL; 9.3 THE SURFACE INTEGRAL; 9.4 DIVERGENCE; 9.5 CURL; 9.6 THE GRADIENT OF A SCALAR FIELD; INDEX

Notes:

Description based upon print version of record.

ISBN:

9781118211106

1118211103

OCLC:

776994823