A math primer for engineers / Colin Walker Cryer.

Format:

Book

Author/Creator:

Cryer, Colin Walker, author.

Series:

Studies in health technology and informatics ; Volume 195.

Studies in Health Technology and Informatics, 1879-8365 ; Volume 195

Language:

English

Subjects (All):

Engineering mathematics.

Physical Description:

1 online resource (512 p.)

Place of Publication:

Amsterdam, Netherlands ; Fairfax, Virginia : IOS Press, 2014.

Language Note:

English

Summary:

Mathematics and engineering are inevitably interrelated, and this interaction will steadily increase as the use of mathematical modelling grows. Although mathematicians and engineers often misunderstand one another, their basic approach is quite similar, as is the historical development of their respective disciplines. The purpose of this Math Primer is to provide a brief introduction to those parts of mathematics which are, or could be, useful in engineering, especially bioengineering. The aim is to summarize the ideas covered in each subject area without going into exhaustive detail. Formula

Contents:

""Title Page""; ""Preface""; ""Contents""; ""1 Numbers and Their Representation""; ""1.1 Introduction""; ""1.2 Real Numbers""; ""1.3 The Representation of Real Numbers""; ""1.4 Complex Numbers""; ""2 Sequences of Numbers""; ""2.1 Introduction""; ""2.2 The Convergence of Sequences""; ""2.3 The Convergence of Sequences (continued)""; ""2.4 A Criterion for Convergence: Cauchy Sequences""; ""2.5 Infinite Series""; ""2.6 Speed of Convergence""; ""2.7 Some Generalizations""; ""3 Functions of One Variable""; ""3.1 Sets""; ""3.2 Functions""; ""3.3 Elementary Functions""; ""3.3.1 Polynomials""

""3.3.2 Rational Functions""""3.3.3 Trigonometric Functions""; ""3.3.4 Exponential and Logarithmic Functions""; ""3.3.5 Hyperbolic Functions""; ""3.4 Piecewise Continuous Functions""; ""3.5 Composite Functions""; ""3.6 Special Functions""; ""3.7 Functions of a Complex Variable""; ""4 Two-dimensional Analytic Geometry""; ""4.1 Introduction""; ""4.2 Two-dimensional Analytic Geometry""; ""4.3 Lines""; ""4.4 Triangles and Polygons""; ""4.5 Conic Sections""; ""4.5.1 The Circle""; ""4.5.2 The Ellipse""; ""4.5.3 The Hyperbola""; ""4.5.4 The Parabola""; ""4.6 Other Two-dimensional Curves""

""4.7 Inside or Outside?""""5 Linear Algebra""; ""5.1 Introduction""; ""5.2 Vectors and Matrices""; ""5.3 Vector and Matrix Norms""; ""5.4 Inner products and Orthogonality in Rn""; ""5.5 Linear Algebraic Equations""; ""5.6 Determinants""; ""5.7 Eigenvalues and Eigenvectors""; ""5.8 Dimension and Bases""; ""5.9 Sequences of Vectors and Matrices""; ""6 Functions of Several Variables""; ""6.1 Introduction""; ""6.2 Inverse Mappings""; ""7 Calculus""; ""7.1 Differential Calculus""; ""7.1.1 Differentiation in One Dimension""; ""7.1.2 Partial Differentiation""; ""7.1.3 The Weierstrass Example""

""7.2 Differentiation in Rn""""7.3 Applications of Differentiation""; ""7.3.1 Taylor Series""; ""7.3.2 Calculation of Extrema""; ""7.3.3 Newton's Method""; ""7.3.4 Spline Functions""; ""7.4 Integral Calculus""; ""7.4.1 Riemann Integrals in One Dimension""; ""7.4.1.1 Indefinite Integrals""; ""7.4.1.2 Definite Integrals""; ""7.4.1.3 The Connection between Definite and Indefinite Integrals""; ""7.4.1.4 Integration by Parts""; ""7.4.1.5 The Differentiation of Integrals with Parameters""; ""7.4.1.6 Improper Riemann Integrals""; ""7.4.1.6.0.1 One Endpoint Equal to ""

""7.4.1.6.0.2 The Integrand is Unbounded""""7.4.1.6.0.3 The Integrand is Discontinuous""; ""7.4.1.7 Evaluation of Integrals""; ""7.4.2 Riemann Integrals in Several Dimensions""; ""7.5 Integration by Substitution in n Dimensions""; ""7.6 The Relationship between Integrals in 1D and 2D""; ""7.7 The Riemann-Stieltjes Integral""; ""7.8 Analytic Functions""; ""7.8.1 Analytic Continuation""; ""7.8.2 Complex Integration""; ""7.8.3 The Calculus of Residues""; ""7.9 The Calculus of Finite Differences""; ""8 Linear Spaces""; ""8.1 Introduction""; ""8.2 The Linear Space C[a,b]""

""8.3 The Linear Spaces Cm() and Cm()""

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters and indexes.

Description based on print version record.

ISBN:

1-61499-299-1

OCLC:

923709080