Math refresher for scientists and engineers / John R. Fanchi.

By:

Fanchi, John R

Material type: Text

TextPublication details: Hoboken, NJ : Wiley, c2006.Edition: 3rd edDescription: xii, 347 p. : ill. ; 24 cmISBN:

9780471757153
0471757152

Subject(s):

DDC classification:

510.2462 FAN

Holdings
Item type	Current library	Call number	Copy number	Status	Date due	Barcode
Standard Loan	Moylish Library Main Collection	510.2462 FAN (Browse shelf(Opens below))	1	Available		39002100366443

Enhanced descriptions from Syndetics:

Expanded coverage of essential math, including integral equations, calculus of variations, tensor analysis, and special integrals

Math Refresher for Scientists and Engineers, Third Edition is specifically designed as a self-study guide to help busy professionals and students in science and engineering quickly refresh and improve the math skills needed to perform their jobs and advance their careers. The book focuses on practical applications and exercises that readers are likely to face in their professional environments. All the basic math skills needed to manage contemporary technology problems are addressed and presented in a clear, lucid style that readers familiar with previous editions have come to appreciate and value.

The book begins with basic concepts in college algebra and trigonometry, and then moves on to explore more advanced concepts in calculus, linear algebra (including matrices), differential equations, probability, and statistics. This Third Edition has been greatly expanded to reflect the needs of today's professionals. New material includes:
* A chapter on integral equations
* A chapter on calculus of variations
* A chapter on tensor analysis
* A section on time series
* A section on partial fractions
* Many new exercises and solutions

Collectively, the chapters teach most of the basic math skills needed by scientists and engineers. The wide range of topics covered in one title is unique. All chapters provide a review of important principles and methods. Examples, exercises, and applications are used liberally throughout to engage the readers and assist them in applying their new math skills to actual problems. Solutions to exercises are provided in an appendix.

Whether to brush up on professional skills or prepare for exams, readers will find this self-study guide enables them to quickly master the math they need. It can additionally be used as a textbook for advanced-level undergraduates in physics and engineering.

Includes bibliographical references (p. 339-341) and index.

Table of contents provided by Syndetics

Preface (p. xi)
1 Algebra (p. 1)
1.1 Algebraic Axioms (p. 1)
1.2 Algebraic Operations (p. 6)
1.3 Exponents and Roots (p. 7)
1.4 Quadratic Equations (p. 9)
1.5 Logarithms (p. 10)
1.6 Factorials (p. 12)
1.7 Complex Numbers (p. 13)
1.8 Polynomials and Partial Fractions (p. 17)
2 Geometry, Trigonometry, and Hyperbolic Functions (p. 21)
2.1 Geometry (p. 21)
2.2 Trigonometry (p. 26)
2.3 Common Coordinate Systems (p. 32)
2.4 Euler's Equation and Hyperbolic Functions (p. 34)
2.5 Series Representations (p. 37)
3 Analytic Geometry (p. 41)
3.1 Line (p. 41)
3.2 Conic Sections (p. 44)
3.3 Polar Form of Complex Numbers (p. 48)
4 Linear Algebra I (p. 51)
4.1 Rotation of Axes (p. 51)
4.2 Matrices (p. 53)
4.3 Determinants (p. 61)
5 Linear Algebra II (p. 65)
5.1 Vectors (p. 65)
5.2 Vector Spaces (p. 69)
5.3 Eigenvalues and Eigenvectors (p. 71)
5.4 Matrix Diagonalization (p. 74)
6 Differential Calculus (p. 79)
6.1 Limits (p. 79)
6.2 Derivatives (p. 82)
6.3 Finite Difference Concept (p. 87)
7 Partial Derivatives (p. 93)
7.1 Partial Differentiation (p. 94)
7.2 Vector Analysis (p. 96)
7.3 Analyticity and the Cauchy-Riemann Equations (p. 103)
8 Integral Calculus (p. 107)
8.1 Indefinite Integrals (p. 107)
8.2 Definite Integrals (p. 109)
8.3 Solving Integrals (p. 112)
8.4 Numerical Integration (p. 114)
9 Special Integrals (p. 117)
9.1 Line Integral (p. 117)
9.2 Double Integral (p. 119)
9.3 Fourier Analysis (p. 121)
9.4 Fourier Integral and Fourier Transform (p. 124)
9.5 Time Series and Z Transform (p. 127)
9.6 Laplace Transform (p. 130)
10 Ordinary Differential Equations (p. 133)
10.1 First-Order ODE (p. 133)
10.2 Higher-Order ODE (p. 141)
10.3 Stability Analysis (p. 142)
10.4 Introduction to Nonlinear Dynamics and Chaos (p. 145)
11 Ode Solution Techniques (p. 151)
11.1 tHigher-Order ODE with Constant Coefficients (p. 151)
11.2 Variation of Parameters (p. 155)
11.3 Cauchy Equation (p. 157)
11.4 Series Methods (p. 158)
11.5 Laplace Transform Method (p. 164)
12 Partial Differential Equations (p. 167)
12.1 Boundary Conditions (p. 168)
12.2 PDE Classification Scheme (p. 168)
12.3 Analytical Solution Techniques (p. 169)
12.4 Numerical Solution Methods (p. 175)
13 Integral Equations (p. 181)
13.1 Classification (p. 181)
13.2 Integral Equation Representation of a Second-Order ODE (p. 182)
13.3 Solving Integral Equations: Neumann Series Method (p. 185)
13.4 Solving Integral Equations with Separable Kernels (p. 187)
13.5 Solving Integral Equations with Laplace Transforms (p. 188)
14 Calculus of Variations (p. 191)
14.1 Calculus of Variations with One Dependent Variable (p. 191)
14.2 The Beltrami Identity and the Brachistochrone Problem (p. 195)
14.3 Calculus of Variations with Several Dependent Variables (p. 198)
14.4 Calculus of Variations with Constraints (p. 200)
15 Tensor Analysis (p. 203)
15.1 Contravariant and Covariant Vectors (p. 203)
15.2 Tensors (p. 207)
15.3 The Metric Tensor (p. 210)
15.4 Tensor Properties (p. 213)
16 Probability (p. 219)
16.1 Set Theory (p. 219)
16.2 Probability Defined (p. 222)
16.3 Properties of Probability (p. 222)
16.4 Probability Distribution Defined (p. 227)
17 Probability Distributions (p. 229)
17.1 Joint Probability Distribution (p. 229)
17.2 Expectation Values and Moments (p. 233)
17.3 Multivariate Distributions (p. 235)
17.4 Example Probability Distributions (p. 240)
18 Statistics (p. 245)
18.1 Probability and Frequency (p. 245)
18.2 Ungrouped Data (p. 247)
18.3 Grouped Data (p. 249)
18.4 Statistical Coefficients (p. 250)
18.5 Curve Fitting, Regression, and Correlation (p. 252)
19 Solutions to Exercises (p. 257)
S1 Algebra (p. 257)
S2 Geometry, Trigonometry, and Hyperbolic Functions (p. 262)
S3 Analytic Geometry (p. 267)
S4 Linear Algebra I (p. 269)
S5 Linear Algebra II (p. 276)
S6 Differential Calculus (p. 280)
S7 Partial Derivatives (p. 286)
S8 Integral Calculus (p. 290)
S9 Special Integrals (p. 293)
S10 Ordinary Differential Equations (p. 299)
S11 ODE Solution Techniques (p. 306)
S12 Partial Differential Equations (p. 312)
S13 Integral Equations (p. 316)
S14 Calculus of Variations (p. 323)
S15 Tensor Analysis (p. 327)
S16 Probability (p. 331)
S17 Probability Distributions (p. 333)
S18 Statistics (p. 337)
References (p. 339)
Index (p. 343)

Author notes provided by Syndetics

John R. Fanchi, PhD, is Professor of Reservoir and Energy Engineering at Colorado School of Mines

Back to results

1 Mosaic :
by Duncan, Mark.
2 Contemporary issues in Irish and global tourism and hospitality /
by Gorham, Geraldine.
3 Future skills and research needs of the wholesale and retail sector /
4 Costs of doing business in Ireland : Volume I /
5 Wills, probate & estates /
6 An Agenda for a new Ireland:
by Collins Micheal
7 Landlord and tenant law :
by Cassidy, Una.
8 Management in the built environment in Ireland /
by Linehan, Margaret.
9 Understanding Ireland's economic crisis :
by Kinsella, Stephen,
10 The house of the Oireachtas :
by MacCarthaigh, Muiris.
11 Make that grade :
by Walsh, Kathleen Moore.
12 Once upon a time in the west :
by Siggins, Lorna.
13 Modern office technology and administration /
by Gallagher, Joan,
14 Working with young people :
by Powell, Fred,
15 Sport and the law :
by Donnellan, Laura.
16 Brooklyn /
by Tóibín, Colm
17 Monitoring Ireland's skills supply :
by Condon, Nora.
18 Future skills requirements of the biopharma-pharmachen sector /
19 Waste management in Ireland :
20 Land law in Ireland /
by Lyall, Andrew.