Muutke küpsiste eelistusi

Fundamentals of Differential Equations and Boundary Value Problems Plus Mymathlab with Pearson Etext -- Access Card 7th ed. [Multiple-component retail product]

(Late University of South Florida), (University of South Florida), (Vanderbilt University)
Teised raamatud teemal:
  • Multiple-component retail product
  • Hind: 264,41 €*
  • * saadame teile pakkumise kasutatud raamatule, mille hind võib erineda kodulehel olevast hinnast
  • See raamat on trükist otsas, kuid me saadame teile pakkumise kasutatud raamatule.
  • Kogus:
  • Lisa ostukorvi
  • Tasuta tarne
  • Lisa soovinimekirja
Fundamentals of Differential Equations and Boundary Value Problems Plus Mymathlab with Pearson Etext -- Access Card 7th ed.Suurem pilt
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780134665696.html

NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab™ products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab products, you may also need a Course ID, which your instructor will provide.

 

Used books, rentals, and purchases made outside of Pearson

If purchasing or renting from companies other than Pearson, the access codes for Pearson's MyLab products may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase.

 

For one-semester sophomore- or junior-level courses in Differential Equations.

This package includes  MyLab Math.


An introduction to the basic theory and applications of differential equations                                                                  

Fundamentals of Differential Equations and Boundary Value Problems  presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. This flexible text allows instructors to adapt to various course emphases (theory, methodology, applications, and numerical methods) and to use commercially available computer software. For the first time, MyLab™ Math is available for this text, providing online homework with immediate feedback, the complete eText, and more. 

 

Note that a shorter version of this text, entitled  Fundamentals of Differential Equations, 9th Edition , contains enough material for a one-semester course. This shorter text consists of chapters 1-10 of the main text.


Personalize learning with  MyLab Math

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

 

0134665694 / 9780134665696 Fundamentals of Differential Equations and Boundary Value Problems Plus MyLab Math with Pearson eText -- Access Card


Package consists of:

  • 0321431308 / 9780321431301 MyLab Math -- Glue-in Access Card
  • 0321654064 / 9780321654069 MyLab Math Inside Star Sticker
  • 0321977106 / 9780321977106 Fundamentals of Differential Equations and Boundary Value Problems
Chapter 1 Introduction
1.1 Background
1(5)
1.2 Solutions and Initial Value Problems
6(9)
1.3 Direction Fields
15(8)
1.4 The Approximation Method of Euler
23(15)
Chapter Summary
29(1)
Review Problems for
Chapter 1
29(2)
Technical Writing Exercises for
Chapter 1
31(1)
Projects for
Chapter 1
32(1)
A Picard's Method
32(1)
B The Phase Line
33(2)
C Applications to Economics
35(1)
D Taylor Series Method
36(2)
Chapter 2 First-Order Differential Equations
2.1 Introduction: Motion of a Falling Body
38(3)
2.2 Separable Equations
41(7)
2.3 Linear Equations
48(9)
2.4 Exact Equations
57(9)
2.5 Special Integrating Factors
66(4)
2.6 Substitutions and Transformations
70(20)
Chapter Summary
78(1)
Review Problems for
Chapter 2
79(1)
Technical Writing Exercises for
Chapter 2
79(1)
Projects for
Chapter 2
80(1)
A Oil Spill in a Canal
80(1)
B Differential Equations in Clinical Medicine
81(2)
C Torricelli's Law of Fluid Flow
83(1)
D The Snowplow Problem
84(1)
E Two Snowplows
84(1)
F Clairaut Equations and Singular Solutions
85(1)
G Multiple Solutions of a First-Order Initial Value Problem
86(1)
H Utility Functions and Risk Aversion
86(1)
I Designing a Solar Collector
87(1)
J Asymptotic Behavior of Solutions to Linear Equations
88(2)
Chapter 3 Mathematical Models and Numerical Methods Involving First-Order Equations
3.1 Mathematical Modeling
90(2)
3.2 Compartmental Analysis
92(10)
3.3 Heating and Cooling of Buildings
102(7)
3.4 Newtonian Mechanics
109(9)
3.5 Electrical Circuits
118(3)
3.6 Numerical Methods: A Closer Look At Euler's Algorithm
121(11)
3.7 Higher-Order Numerical Methods: Taylor and Runge--Kutta
132(20)
Projects for
Chapter 3
141(1)
A Dynamics of HIV Infection
141(3)
B Aquaculture
144(1)
C Curve of Pursuit
145(1)
D Aircraft Guidance in a Crosswind
146(1)
E Market Equilibrium: Stability and Time Paths
147(1)
F Stability of Numerical Methods
148(2)
G Period Doubling and Chaos
150(2)
Chapter 4 Linear Second-Order Equations
4.1 Introduction: The Mass-Spring Oscillator
152(5)
4.2 Homogeneous Linear Equations: The General Solution
157(8)
4.3 Auxiliary Equations with Complex Roots
165(9)
4.4 Nonhomogeneous Equations: the Method of Undetermined Coefficients
174(6)
4.5 The Superposition Principle and Undetermined Coefficients Revisited
180(7)
4.6 Variation of Parameters
187(5)
4.7 Variable-Coefficient Equations
192(9)
4.8 Qualitative Considerations for Variable-Coefficient and Nonlinear Equations
201(11)
4.9 A Closer Look at Free Mechanical Vibrations
212(9)
4.10 A Closer Look at Forced Mechanical Vibrations
221(20)
Chapter Summary
229(2)
Review Problems for
Chapter 4
231(1)
Technical Writing Exercises for
Chapter 4
232(1)
Projects for
Chapter 4
233(1)
A Nonlinear Equations Solvable by First-Order Techniques
233(1)
B Apollo Reentry
234(1)
C Simple Pendulum
235(1)
D Linearization of Nonlinear Problems
236(1)
E Convolution Method
237(1)
F Undetermined Coefficients Using Complex Arithmetic
237(2)
G Asymptotic Behavior of Solutions
239(1)
H Gravity Train
240(1)
Chapter 5 Introduction to Systems and Phase Plane Analysis
5.1 Interconnected Fluid Tanks
241(2)
5.2 Differential Operators and the Elimination Method for Systems
243(9)
5.3 Solving Systems and Higher-Order Equations Numerically
252(9)
5.4 Introduction to the Phase Plane
261(13)
5.5 Applications to Biomathematics: Epidemic and Tumor Growth Models
274(9)
5.6 Coupled Mass-Spring Systems
283(6)
5.7 Electrical Systems
289(6)
5.8 Dynamical Systems, Poincare Maps, and Chaos
295(24)
Chapter Summary
304(2)
Review Problems for
Chapter 5
306(1)
Projects for
Chapter 5
307(1)
A Designing a Landing System for Interplanetary Travel
307(1)
B Spread of Staph Infections in Hospitals---Part I
308(2)
C Things That Bob
310(1)
D Hamiltonian Systems
311(2)
E Cleaning Up the Great Lakes
313(1)
F The 2014--2015 Ebola Epidemic
314(3)
G Phase-Locked Loops
317(2)
Chapter 6 Theory of Higher-Order Linear Differential Equations
6.1 Basic Theory of Linear Differential Equations
319(8)
6.2 Homogeneous Linear Equations with Constant Coefficients
327(7)
6.3 Undetermined Coefficients and the Annihilator Method
334(4)
6.4 Method Of Variation of Parameters
338(12)
Chapter Summary
342(1)
Review Problems for
Chapter 6
343(1)
Technical Writing Exercises for
Chapter 6
344(1)
Projects for
Chapter 6
345(1)
A Computer Algebra Systems and Exponential Shift
345(1)
B Justifying the Method of Undetermined Coefficients
346(1)
C Transverse Vibrations of a Beam
347(1)
D Higher-Order Difference Equations
347(3)
Chapter 7 Laplace Transforms
7.1 Introduction: A Mixing Problem
350(3)
7.2 Definition of the Laplace Transform
353(8)
7.3 Properties of the Laplace Transform
361(5)
7.4 Inverse Laplace Transform
366(10)
7.5 Solving Initial Value Problems
376(7)
7.6 Transforms of Discontinuous Functions
383(9)
7.7 Transforms of Periodic and Power Functions
392(5)
7.8 Convolution
397(8)
7.9 Impulses and the Dirac Delta Function
405(7)
7.10 Solving Linear Systems with Laplace Transforms
412(9)
Chapter Summary
414(1)
Review Problems for
Chapter 7
415(1)
Technical Writing Exercises for
Chapter 7
416(1)
Projects for
Chapter 7
417(1)
A Duhamel's Formulas
417(1)
B Frequency Response Modeling
418(2)
C Determining System Parameters
420(1)
Chapter 8 Series Solutions of Differential Equations
8.1 Introduction: The Taylor Polynomial Approximation
421(5)
8.2 Power Series and Analytic Functions
426(9)
8.3 Power Series Solutions to Linear Differential Equations
435(10)
8.4 Equations with Analytic Coefficients
445(5)
8.5 Cauchy--Euler (Equidimensional) Equations
450(4)
8.6 Method of Frobenius
454(11)
8.7 Finding a Second Linearly Independent Solution
465(9)
8.8 Special Functions
474(22)
Chapter Summary
487(2)
Review Problems for
Chapter 8
489(1)
Technical Writing Exercises for
Chapter 8
490(1)
Projects for
Chapter 8
491(1)
A Alphabetization Algorithms
491(1)
B Spherically Symmetric Solutions to Schrodinger's Equation for the Hydrogen Atom
492(1)
C Airy's Equation
493(1)
D Buckling of a Tower
493(2)
E Aging Spring and Bessel Functions
495(1)
Chapter 9 Matrix Methods for Linear Systems
9.1 Introduction
496(4)
9.2 Review 1: Linear Algebraic Equations
500(4)
9.3 Review 2: Matrices and Vectors
504(11)
9.4 Linear Systems in Normal Form
515(8)
9.5 Homogeneous Linear Systems with Constant Coefficients
523(11)
9.6 Complex Eigenvalues
534(4)
9.7 Nonhomogeneous Linear Systems
538(7)
9.8 The Matrix Exponential Function
545(15)
Chapter Summary
553(2)
Review Problems for
Chapter 9
555(1)
Technical Writing Exercises for
Chapter 9
556(1)
Projects for
Chapter 9
557(1)
A Uncoupling Normal Systems
557(1)
B Matrix Laplace Transform Method
558(1)
C Undamped Second-Order Systems
559(1)
Chapter 10 Partial Differential Equations
10.1 Introduction: A Model for Heat Flow
560(3)
10.2 Method of Separation of Variables
563(8)
10.3 Fourier Series
571(16)
10.4 Fourier Cosine and Sine Series
587(5)
10.5 The Heat Equation
592(12)
10.6 The Wave Equation
604(12)
10.7 Laplace's Equation
616(24)
Chapter Summary
628(2)
Technical Writing Exercises for
Chapter 10
630(1)
Projects for
Chapter 10
631(1)
A Steady-State Temperature Distribution in a Circular Cylinder
631(2)
B Laplace Transform Solution of the Wave Equation
633(1)
C Green's Function
634(1)
D Numerical Method for Δu = f on α Rectangle
635(2)
E The Telegrapher's Equation and the Cable Equation
637(3)
Chapter 11 Eigenvalue Problems and Sturm--Liouville Equations
11.1 Introduction: Heat Flow in a Nonuniform Wire
640(2)
11.2 Eigenvalues and Eigenfunctions
642(10)
11.3 Regular Sturm--Liouville Boundary Value Problems
652(11)
11.4 Nonhomogeneous Boundary Value Problems and the Fredholm Alternative
663(9)
11.5 Solution by Eigenfunction Expansion
672(5)
11.6 Green's Functions
677(8)
11.7 Singular Sturm--Liouville Boundary Value Problems
685(8)
11.8 Oscillation and Comparison Theory
693(20)
Chapter Summary
703(2)
Review Problems for
Chapter 11
705(1)
Technical Writing Exercises for
Chapter 11
706(1)
Projects for
Chapter 11
707(1)
A Hermite Polynomials and the Harmonic Oscillator
707(1)
B Continuous and Mixed Spectra
707(1)
C Picone Comparison Theorem
708(1)
D Shooting Method
709(1)
E Finite-Difference Method for Boundary Value Problems
710(3)
Chapter 12 Stability of Autonomous Systems
12.1 Introduction: Competing Species
713(3)
12.2 Linear Systems in the Plane
716(13)
12.3 Almost Linear Systems
729(11)
12.4 Energy Methods
740(8)
12.5 Lyapunov's Direct Method
748(9)
12.6 Limit Cycles and Periodic Solutions
757(8)
12.7 Stability of Higher-Dimensional Systems
765(5)
12.8 Neurons and the FitzHugh--Nagumo Equations
770(13)
Chapter Summary
776(1)
Review Problems for
Chapter 12
777(1)
Technical Writing Exercises for
Chapter 12
778(1)
Projects for
Chapter 12
779(1)
A Solitons and Korteweg--de Vries Equation
779(1)
B Burger's Equation
779(1)
C Computing Phase Plane Diagrams
780(1)
D Ecosystem on Planet GLIA-2
780(1)
E Spread of Staph Infections in Hospitals---Part II
781(2)
Chapter 13 Existence and Uniqueness Theory
13.1 Introduction: Successive Approximations
783(6)
13.2 Picard's Existence and Uniqueness Theorem
789(8)
13.3 Existence of Solutions of Linear Equations
797(5)
13.4 Continuous Dependence of Solutions
802
Chapter Summary
809(1)
Review Problems for
Chapter 13
810(1)
Technical Writing Exercises for
Chapter 13
810
Appendices
A Review of Integration Techniques
1(8)
B Newton's Method
9(2)
C Simpson's Rule
11(2)
D Cramer's Rule
13(1)
E Method of Least Squares
14(2)
F Runge--Kutta Procedure for n Equations
16(1)
G Software for Analyzing Differential Equations
17
Answers to Odd-Numbered Problems 1(1)
Index 1