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Addison-Wesley / Prentice Hall

Mathematics

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Differential Equations, 2/E
John PolkingRice University
Al BoggessTexas A&M
David Arnold

ISBN-10: 0131437380
ISBN-13:  9780131437388

Publisher:  Prentice Hall
Copyright:  2006
Format:  Cloth; 656 pp
Published:  07/14/2005
Status: Instock


Suggested retail price: $128.00
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Combining traditional differential equation material with a modern qualitative and systems approach, this new edition continues to deliver flexibility of use and extensive problem sets. The second edition’s refreshed presentation includes extensive new visuals, as well as updated exercises throughout.

• Unique blend of traditional algebraic and modern qualitative geometric approaches – Tempers the classic pure math approach with the practical, applied aspects of modern DE uses.

• Strong systems approach – Features a full chapter on matrix algebra, followed by three systems chapters. Practical uses of DEs today are not single equations but rather looking at several DEs using a computer.

Novel modeling approach – Emphasizesproblems and approaches.

Flexible use of technology – Focuses on solving and interpreting through the inclusion of several optional technology projects. The text is platform-neutral.

• New Chapter (#11) on Power Series Solutions.

• Updated material throughout – Improved exposition based on current classroom trends as well as the feedback of first edition users. Includes revised coverage of exact first order equations (Ch. 2), matrix algebra (Ch. 7), and systems (Ch. 8).

• Expanded coverage of phase plane portraits – Now covered in two sections, including a new section on the trace-determinant plane.

• Large number of new figures – Help students clearly visualize ideas described in the text. The most geometric text available.

• More application-based examples – Demonstrate to students the broad applications of differential equations.

• Clearly highlighted methods of solution – Make solutions easier to identify throughout the text.

• Extensive new exercises throughout – Including all Chapters 1- 11.

• Appendix on complex numbers and matrices – Gathers information in a single location to make it more readily accessible.

• FREE when shrink-wrapped with the text are manuals for MATLAB, Maple, and Mathematica.

Chapter 1: Introduction to Differential Equations

Differential Equation Models. The Derivative. Integration.

 

Chapter 2:  First-Order Equations

Differential Equations and Solutions. Solutions to Separable Equations. Models of Motion. Linear Equations.

Mixing Problems. Exact Differential Equations. Existence and Uniqueness of Solutions. Dependence of Solutions on Initial Conditions. Autonomous Equations and Stability.

Project 2.10 The Daredevil Skydiver.

 

Chapter 3: Modeling and Applications

Modeling Population Growth. Models and the Real World. Personal Finance. Electrical Circuits. Project 3.5 The Spruce Budworm. Project 3.6 Social Security, Now or Later.

 

Chapter 4: Second-Order Equations

Definitions and Examples. Second-Order Equations and Systems. Linear, Homogeneous Equations with Constant Coefficients. Harmonic Motion. Inhomogeneous Equations; the Method of Undetermined Coefficients. Variation of Parameters. Forced Harmonic Motion. Project 4.8 Nonlinear Oscillators.

 

Chapter 5: The Laplace Transform

The Definition of the Laplace Transform. Basic Properties of the Laplace Transform 241. The Inverse Laplace Transform

Using the Laplace Transform to Solve Differential Equations. Discontinuous Forcing Terms. The Delta Function. Convolutions. Summary. Project 5.9 Forced Harmonic Oscillators.

 

Chapter 6: Numerical Methods

Euler’s Method. Runge-Kutta Methods. Numerical Error Comparisons. Practical Use of Solvers. A Cautionary Tale.

Project 6.6 Numerical Error Comparison.

 

Chapter 7: Matrix Algebra

Vectors and Matrices. Systems of Linear Equations with Two or Three Variables. Solving Systems of Equations. Homogeneous and Inhomogeneous Systems. Bases of a subspace. Square Matrices. Determinants.

 

Chapter 8:  An Introduction to Systems

Definitions and Examples. Geometric Interpretation of Solutions. Qualitative Analysis. Linear Systems. Properties of Linear Systems. Project 8.6 Long-Term Behavior of Solutions.

 

Chapter 9:  Linear Systems with Constant Coefficients

Overview of the Technique. Planar Systems. Phase Plane Portraits. The Trace-Determinant Plane. Higher Dimensional Systems. The Exponential of a Matrix. Qualitative Analysis of Linear Systems. Higher-Order Linear Equations. Inhomogeneous Linear Systems. Project 9.10 Phase Plane Portraits. Project 9.11 Oscillations of Linear Molecules.

 

Chapter 10: Nonlinear Systems

The Linearization of a Nonlinear System. Long-Term Behavior of Solutions. Invariant Sets and the Use of Nullclines. Long-Term Behavior of Solutions to Planar Systems. Conserved Quantities. Nonlinear Mechanics. The Method of Lyapunov. Predator—Prey Systems. Project 10.9 Human Immune Response to Infectious Disease. Project 10.10 Analysis of Competing Species.

 

Chapter 11: Series Solutions to Differential Equations

Review of Power Series. Series Solutions Near Ordinary Points. Legendre’s Equation. Types of Singular Points–Euler’s Equation. Series Solutions Near Regular Singular Points. Series Solutions Near Regular Singular Points – the General Case. Bessel’s Equation and Bessel Functions.

 

 

Companion Website - Polking, 2/E
Polking
©2006 | Prentice Hall | On-line Supplement | Estimated Availability : 07/15/2005
ISBN-10: 0131862383 | ISBN-13: 9780131862388
URLhttp://www.prenhall.com/polking


Companion Website - Polking, 2/E
Polking
©2006 | Prentice Hall | On-line Supplement | Estimated Availability : 07/15/2005
ISBN-10: 0131862383 | ISBN-13: 9780131862388
URLhttp://www.prenhall.com/polking


Instructor's Solutions Manual, 2/E
Polking
©2006 | Prentice Hall | Paper; 942 pp | Instock
ISBN-10: 0131862359 | ISBN-13: 9780131862357
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Companion Website - Polking, 2/E
Polking
©2006 | Prentice Hall | On-line Supplement | Estimated Availability : 07/15/2005
ISBN-10: 0131862383 | ISBN-13: 9780131862388
URLhttp://www.prenhall.com/polking


Student Solutions Manual, 2/E
Polking
©2006 | Prentice Hall | Paper; 498 pp | Instock
ISBN-10: 0131437399 | ISBN-13: 9780131437395
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Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087


Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070


Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
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Allied Health Study Card, 2/E
Forshier
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
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Basic Math Review Card, 2/E
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©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
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Concept Videos: Algebra
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©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197


Concept Videos: Basic Math & Prealgebra
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©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586


Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
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©1997 | Prentice Hall | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
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Finite Mathematics Study Card
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©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
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Flash Review Series: Algebra
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©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
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Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
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Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Prentice Hall | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
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Interwrite Personal Response System
EduCue, Addison-Wesley & Benjamin Cummings
©2004 | Prentice Hall | Electronic Supplement | Instock
ISBN-10: 0321267354 | ISBN-13: 9780321267351


Math for Allied Health Study/Reference Card
Forshier
©2006 | Prentice Hall | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545


Mathematics Spanish Glossary, 2/E
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©2000 | Prentice Hall | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
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Overcoming Math Anxiety, 2/E
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©2000 | Prentice Hall | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Pearson TI Rebate Coupon $15, 2/E
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©2009 | Prentice Hall | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041


Prealgebra Review Workbook
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©2006 | Prentice Hall | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002 | Prentice Hall | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Saleable Technology Bundle, 2/E
Pearson
©2009 | Prentice Hall | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886


Spanish Basic Math Study Card
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©2007 | Prentice Hall | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Prentice Hall | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URLhttp://www.aw-bc.com/tutorcenter
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For Differential Equations

Maple Projects for Differential Equations
Gilbert & Hsiao
©2003 | Prentice Hall | Paper; 200 pp | Instock
ISBN-10: 0130479748 | ISBN-13: 9780130479747
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Companion Website - Polking, 2/E
Polking
©2006 | Prentice Hall | On-line Supplement | Estimated Availability : 07/15/2005
ISBN-10: 0131862383 | ISBN-13: 9780131862388
URLhttp://www.prenhall.com/polking


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Package ISBN-10: 0131698222 | ISBN-13: 9780131698222
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This package contains:

Polking, Boggess & Arnold | ©2006 | Prentice Hall | Cloth; 656 pp
Polking | ©2004 | Prentice Hall | Paper; 264 pp


Package ISBN-10: 0131698230 | ISBN-13: 9780131698239
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Polking, Boggess & Arnold | ©2006 | Prentice Hall | Cloth; 656 pp
Gilbert & Hsiao | ©2003 | Prentice Hall | Paper; 200 pp


Package ISBN-10: 0131559524 | ISBN-13: 9780131559523
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Polking, Boggess & Arnold | ©2006 | Prentice Hall | Cloth; 656 pp
Polking | ©2006 | Prentice Hall | Paper; 498 pp


Package ISBN-10: 0132207427 | ISBN-13: 9780132207423
©2006 | Instock | Suggested retail price: $128.00 | Buy from myPearsonStore
This package contains:

Polking, Boggess & Arnold | ©2006 | Prentice Hall | Cloth; 656 pp
Polking | ©2004 | Prentice Hall | Paper; 264 pp
Polking | ©2006 | Prentice Hall | Paper; 498 pp