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Student Solutions Manual to Accompany Advanced Engineering Mathematics Seventh Edition [Pehme köide]

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  • Formaat: Paperback / softback, 432 pages, kaal: 964 g
  • Ilmumisaeg: 18-Dec-2020
  • Kirjastus: Jones and Bartlett Publishers, Inc
  • ISBN-10: 1284206262
  • ISBN-13: 9781284206265
Teised raamatud teemal:
Student Solutions Manual to Accompany Advanced Engineering Mathematics Seventh EditionSuurem pilt
  • Formaat: Paperback / softback, 432 pages, kaal: 964 g
  • Ilmumisaeg: 18-Dec-2020
  • Kirjastus: Jones and Bartlett Publishers, Inc
  • ISBN-10: 1284206262
  • ISBN-13: 9781284206265
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781284206265.html
The Student Solutions Manual to Accompany Advanced Engineering Mathematics, Seventh Edition is designed to help you get the most out of your course Engineering Mathematics course. It provides the answers to selected exercises from each chapter in your textbook. This enables you to assess your progress and understanding while encouraging you to find solutions on your own.

Students, use this tool to: -Check answers to selected exercises. -Confirm that you understand ideas and concepts. -Review past material. -Prepare for future material. -Get the most out of your Advanced Engineering Mathematics course and improve your grades with your Student Solutions Manual!
1 Introduction to Differential Equations
1(11)
1.1 Definitions and Terminology
1(3)
1.2 Initial-Value Problems
4(2)
1.3 Differential Equations as Mathematical Models
6(2)
Chapter 1 in Review
8(4)
2 First-Order Differential Equations
12(34)
2.1 Solution Curves Without a Solution
12(3)
2.2 Separable Equations
15(6)
2.3 Linear Equations
21(3)
2.4 Exact Equations
24(1)
2.5 Solutions by Substitutions
25(3)
2.6 A Numerical Method
28(1)
2.7 Linear Models
29(4)
2.8 Nonlinear Models
33(4)
2.9 Modeling with Systems of First-Order DEs
37(3)
Chapter 2 in Review
40(6)
3 Higher-Order Differential Equations
46(50)
3.1 Theory of Linear Equations
46(1)
3.2 Reduction of Order
47(2)
3.3 Linear Equations with Constant Coefficients
49(2)
3.4 Undetermined Coefficients
51(3)
3.5 Variation of Parameters
54(7)
3.6 Cauchy-Euler Equation
61(5)
3.7 Nonlinear Equations
66(2)
3.8 Linear Models: Initial-Value Problems
68(4)
3.9 Linear Models: Boundary-Value Problems
72(5)
3.10 Green's Functions
77(7)
3.11 Nonlinear Models
84(1)
3.12 Solving Systems of Linear DEs
85(3)
Chapter 3 in Review
88(8)
4 The Laplace Transform
96(27)
4.1 Definition of the Laplace Transform
96(2)
4.2 Inverse Transforms and Transforms of Derivatives
98(3)
4.3 Translation Theorems
101(6)
4.4 Additional Operational Properties
107(6)
4.5 Dirac Delta Function
113(2)
4.6 Systems of Linear Differential Equations
115(4)
Chapter 4 in Review
119(4)
5 Series Solutions of Linear Equations
123(25)
5.1 Solutions about Ordinary Points
123(6)
5.2 Solutions about Singular Points
129(6)
5.3 Special Functions
135(6)
Chapter 5 in Review
141(7)
6 Numerical Solutions of Ordinary Differential Equations
148(7)
6.1 Euler Methods and Error Analysis
148(2)
6.2 Runge-Kutta Methods
150(1)
6.3 Multistep Methods
151(1)
6.4 Higher-Order Equations and Systems
151(1)
6.5 Second-Order Boundary-Value Problems
152(2)
Chapter 6 in Review
154(1)
7 Vectors
155(14)
7.1 Vectors in 2-Space
155(1)
7.2 Vectors in 3-Space
156(2)
7.3 Dot Product
158(1)
7.4 Cross Product
159(2)
7.5 Lines and Planes in 3-Space
161(2)
7.6 Vector Spaces
163(1)
7.7 Gram-Schmidt Orthogonalization Process
164(3)
Chapter 7 in Review
167(2)
8 Matrices
169(33)
8.1 Matrix Algebra
169(2)
8.2 Systems of Linear Equations
171(3)
8.3 Rank of a Matrix
174(1)
8.4 Determinants
174(1)
8.5 Properties of Determinants
175(1)
8.6 Inverse of a Matrix
176(2)
8.7 Cramer's Rule
178(1)
8.8 Eigenvalue Problem
179(2)
8.9 Powers of Matrices
181(3)
8.10 Orthogonal Matrices
184(2)
8.11 Approximation of Eigenvalues
186(2)
8.12 Diagonalization
188(2)
8.13 LU-Factorization
190(5)
8.14 Cryptography
195(1)
8.15 Error-Correcting Code
196(1)
8.16 Method of Least Squares
197(1)
8.17 Discrete Compartmental Models
198(1)
Chapter 8 in Review
199(3)
9 Vector Calculus
202(50)
9.1 Vector Functions
202(2)
9.2 Motion on a Curve
204(3)
9.3 Curvature
207(2)
9.4 Partial Derivatives
209(1)
9.5 Directional Derivative
210(2)
9.6 Tangent Planes and Normal Lines
212(2)
9.7 Curl and Divergence
214(2)
9.8 Line Integrals
216(3)
9.9 Independence of Path
219(2)
9.10 Double Integrals
221(5)
9.11 Double Integrals in Polar Coordinates
226(3)
9.12 Green's Theorem
229(3)
9.13 Surface Integrals
232(4)
9.14 Stokes' Theorem
236(2)
9.15 Triple Integrals
238(4)
9.16 Divergence Theorem
242(2)
9.17 Change of Variables in Multiple Integrals
244(3)
Chapter 9 in Review
247(5)
10 Systems of Linear Differential Equations
252(20)
10.1 Theory of Linear Systems
252(1)
10.2 Homogeneous Linear Systems
253(6)
10.3 Solution by Diagonalization
259(1)
10.4 Nonhomogeneous Linear Systems
260(6)
10.5 Matrix Exponential
266(4)
Chapter 10 in Review
270(2)
11 Systems of Nonlinear Differential Equations
272(13)
11.1 Autonomous Systems
272(2)
11.2 Stability of Linear Systems
274(1)
11.3 Linearization and Local Stability
275(4)
11.4 Autonomous Systems as Mathematical Models
279(2)
11.5 Periodic Solutions, Limit Cycles, and Global Stability
281(1)
Chapter 11 in Review
282(3)
12 Fourier Series
285(17)
12.1 Orthogonal Functions
285(2)
12.2 Fourier Series
287(2)
12.3 Fourier Cosine and Sine Series
289(5)
12.4 Complex Fourier Series
294(2)
12.5 Sturm-Liouville Problem
296(1)
12.6 Bessel and Legendre Series
297(3)
Chapter 12 in Review
300(2)
13 Boundary-Value Problems in Rectangular Coordinates
302(31)
13.1 Separable Partial Differential Equations
302(4)
13.2 Classical PDEs and Boundary-Value Problems
306(1)
13.3 Heat Equation
306(2)
13.4 Wave Equation
308(5)
13.5 Laplace's Equation
313(3)
13.6 Nonhomogeneous Boundary-Value Problems
316(7)
13.7 Orthogonal Series Expansions
323(3)
13.8 Higher-Dimensional Problems
326(2)
Chapter 13 in Review
328(5)
14 Boundary-Value Problems in Other Coordinate Systems
333(17)
14.1 Polar Coordinates
333(3)
14.2 Cylindrical Coordinates
336(6)
14.3 Spherical Coordinates
342(3)
Chapter 14 in Review
345(5)
15 Integral Transforms
350(26)
15.1 Error Function
350(1)
15.2 Laplace Transform
351(7)
15.3 Fourier Integral
358(2)
15.4 Fourier Transforms
360(5)
15.5 Finite Fourier Transforms
365(4)
15.6 Fast Fourier Transform
369(1)
Chapter 15 in Review
370(6)
16 Numerical Solutions of Partial Differential Equations
376(8)
16.1 Laplace's Equation
376(1)
16.2 Heat Equation
376(5)
16.3 Wave Equation
381(2)
Chapter 16 in Review
383(1)
17 Functions of a Complex Variable
384(10)
17.1 Complex Numbers
384(1)
17.2 Powers and Roots
385(1)
17.3 Sets in the Complex Plane
386(1)
17.4 Functions of a Complex Variable
387(1)
17.5 Cauchy-Riemann Equations
388(1)
17.6 Exponential and Logarithmic Functions
389(1)
17.7 Trigonometric and Hyperbolic Functions
390(2)
17.8 Inverse Trigonometric and Hyperbolic Functions
392(1)
Chapter 17 in Review
392(2)
18 Integration in the Complex Plane
394(8)
18.1 Contour Integrals
394(2)
18.2 Cauchy-Goursat Theorem
396(2)
18.3 Independence of Path
398(1)
18.4 Cauchy's Integral Formulas
399(2)
Chapter 18 in Review
401(1)
19 Series and Residues
402(11)
19.1 Sequences and Series
402(1)
19.2 Taylor Series
403(2)
19.3 Laurent Series
405(1)
19.4 Zeros and Poles
406(1)
19.5 Residue Theorem
407(1)
19.6 Evaluation of Real Integrals
408(3)
Chapter 19 in Review
411(2)
20 Conformal Mappings
413
20.1 Complex Functions as Mappings
413(1)
20.2 Conformal Mappings
414(2)
20.3 Linear Fractional Transformations
416(1)
20.4 Schwarz-Christoffel Transformations
417(1)
20.5 Poisson Integral Formulas
418(1)
20.6 Applications
419(3)
Chapter 20 in Review
422
Dennis Zill received a PhD in Applied Mathematics from Iowa State University, and is a former professor of Mathematics at Loyola Marymount University in Los Angeles, Loras College in Iowa, and California Polytechnic State University. He is also the former chair of the Mathematics department at Loyola Marymount University, where he currently holds a rank as Professor Emeritus of Mathematics. Zill holds interests in astronomy, modern literature, music, golf, and good wine, while his research interests include Special Functions, Differential Equations, Integral Transformations, and Complex Analysis.'