Applied Mathematics Body and Soul, Volume 3: Calculus in Several Dimensions

Book Description

Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilitites of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. Volume I (Derivatives and Geometry in R3) presents basics of Calculus starting with the construction of the natural, rational, real and complex numbers, and proceeding to analytic geometry in two and three space dimensions, Lipschitz continuous functions and derivatives, together with a variety of applications. Volume II (Integrals and Geomtery in Rn) develops the Riemann integral as the solution to the problem of determining a function given its derivative, and proceeds to generalizations in the form of initial value problems for general systems of ordinary differential equations, including a variety of applications. Linear algebra including numerics is also presented. Volume III (Calculus in Several Dimensions) presents Calculus in several variables including partial derivatives, multi-dimensional integrals, partial differential equations and finite element methods, together with a variety of applications modeled as systems of partial differential equations. The authors are leading researchers in Computational Mathematics who have written various successful books. Further information on Applied Mathematics: Body and Soul can be found at http://www.phi.chalmers.se/bodysoul/.

Customer Reviews:

Calculus + Linear Algebra in One Series.......2005-01-05

I wish Amazon would put a text list of the "Table of Contents" for books.

Sorry about the length: Amazon does not allow postings for each volume in a series!

Volume 1: Derivatives and Geometry in R^3
1. What is Mathematics?
2. The Mathematics Library
3. Introduction to Modeling
4. A Very Short Calculus Course
5. Natural Numbers and Integers
6. Mathematical Induction
7. Rational Numbers
8. Pythagoras and Euclid
9. What is a Function?
10. Polynomial Functions
11. Combinations of Functions
12. Lipschitz Continuity
13. Sequences and Limits
14. The Square Root of Two
15. Real Numbers
16. The Bisection Algorithm for f(x) = 0
17. Do Mathematicians Quarrel?
18. The Function y = x^r
19. Fixed Points and Contraction Mappings
20. Analytic Geometry in R^2
21. Analytic Geometry in R^3
22. Complex Numbers
23. The Derivative
24. Differentiation Rules
25. Newton's Method
26. Galileo, Newton, Hooke, Malthus and Fourier

Volume 2: Integrals and Geometry in R^n
27: The Integral
28: Properties of the Integral
29. The Logarithm log(x)
30. Numerical Quadrature
31. The Exponential Function exp(x) = e^x
32. Trigonometric Functions
33. The Functions exp(z), log(z), sin(z) and cos(z) for z e C
34. Techniques of Integration
35. Solving Differential Equations Using the Exponential
36. Improper Integrals
37. Series
38. Scalar Autonomous Initial Value Problems
39. Separable Scalar Initial Value Problems
40. The General Initial Value Problem
41. Calculus Tool Bag I
42. Analytic Geometry in R^n
43. The Spectral Theorem
44. Solving Linear Algebraic Systems
45. Linear Algebra Tool Bag
46. The Matrix Exponential exp(xA)
47. Lagrange and the Principle of Least Action
48. N-Body Systems
49. The Crash Model
50. Electrical Circuits
51. String Theory
52. Piecewise Linear Approximation
53. FEM for Two-Point Boundary Value Problems

Volume 3: Calculus in Several Dimensions
54. Vector-Valued Functions of Several Real Variables
55. Level Curves/Surfaces and the Gradient
56. Linearization and Stability of Initial Value Problems
57. Adaptive Solvers for IVPs
58. Lorenz and the Essence of Chaos
59. The Solar System
60. Optimization
61. The Divergence, Rotation and Laplacian
62. Meteorology and Coriolis Forces
63. Curve Integrals
64. Double Integrals
65. Surface Integrals
66. Multiple Integrals
67. Gauss' Theorem and Green's Formula in R^2
68. Gauss' Theorem and Green's Formula in R^3
69. Stoke's Theorem
70. Potential Fields
71. Center of Mass and Archimedes' Principle
72. Newton's Nightmare
73. Laplacian Models
74. Chemical Reactions
75. Calculus Tool Bag II
76. Piecewise Linear Polynomials in R^2 and R^3
77. FEM for Boundary Value Problems in R^2 and R^3
78. Inverse Problems
79. Optimal Control
80. Differential Equations Tool Bag
81. Applications Tool Bag
82. Analytic Functions
83. Fourier Series
84. Fourier Transforms
85. Analytic Functions Tool Bag
86. Fourier Analysis Tool Bag
87. Incompressible Navier-Stokes: Quick and Easy

This book/series has some problems; however, the attempt to wed Mathematical Analysis, Numerical Computation, and Application AND to also talk about Calculus and Linear Algebra at the same time -- makes these three books worth a look.

Computer Simulation of Biomolecular Systems: Theoretical and Experimental Applications Volume 3 (Computer Simulations of Biomolecular Systems)

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Computer Simulation of Biomolecular Systems: Theoretical and Experimental Applications Volume 3 (Computer Simulations of Biomolecular Systems)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 9072199251

Book Description

This book is the third volume in this highly successful series. Since the first volume in 1989 and the second in 1993, many exciting developments have occurred in the development of simulation techniques and their application to key biological problems such as protein folding, protein structure prediction and structure-based design, and in how, by combining experimental and theoretical approaches, very large biological systems can be studied at the molecular level. This series attempts to capture that progress.
Volume 3 includes contributions that highlight developments in methodology which enable longer and more realistic simulations (e.g. multiple time steps and variable reduction techniques), a study of force fields for proteins and new force field development, a novel approach to the description of molecular shape and the use of molecular shape descriptors, the study of condensed phase chemical reactions, the use of electrostatic techniques in the study of protonation, equilibria and flexible docking studies, structure refinement using experimental data (X-ray, NMR, neutron, infrared) and theoretical methods (solvation models, normal mode analysis, MD simulations, MC lattice dynamics, and knowledge-based potentials). There are several chapters that show progress in the development of methodologies for the study of folding processes, binding affinities, and the prediction of ligand-protein complexes.
The chapters, contributed by experienced researchers, many of whom are leaders in their field of study, are organised to cover developments in:

simulation methodology
the treatment of electrostatics
protein structure refinement
the combined experimental and theoretical approaches to the study of very large biological systems
applications and methodology involved in the study of protein folding
applications and methodology associated with structure-based design.

BIOORGANIC CHEMISTRY Volume 3 MacRo and Multimolecular Systems

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BIOORGANIC CHEMISTRY Volume 3 MacRo and Multimolecular Systems

Manufacturer: Academic Press
ProductGroup: Book
Binding: Hardcover
ASIN: B000H2A15U

Computer Integrated Manufacturing: Models, case studies and forecasts of diffusion (IIASA Computer Integrated Manufacturing Series Volume 3)

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Computer Integrated Manufacturing: Models, case studies and forecasts of diffusion (IIASA Computer Integrated Manufacturing Series Volume 3)
R.U. Ayres , W. Haywood , and I. Tchijov
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Mathematical Analysis and Numerical Methods for Science and Technology: Volume 3: Spectral Theory and Applications

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great mathematics book for physics problems

Mathematical Analysis and Numerical Methods for Science and Technology: Volume 3: Spectral Theory and Applications
Robert Dautray , and Jacques-Louis Lions
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

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ASIN: 3540660992

Book Description

The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.

Customer Reviews:

great mathematics book for physics problems.......2001-04-28

This book provide the mathematical knowledge required for the researchers in scientific fields , especially in physics,. it provide agood application of mathematics for the thoeoritical and numerical resolution of physical models on computer.

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A System of Chemistry: Volume 3
Thomas Thomson
Manufacturer: Adamant Media Corporation
ProductGroup: Book
Binding: Paperback

General & Reference | Chemistry | Science | Subjects | Books

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ASIN: 140216422X
Release Date: 2001-08-28

Book Description

This Elibron Classics book is a facsimile reprint of a 1810 edition by Bell & Bradfute, Edinburgh.

System of Physical Chemistry 3ed Volume 3

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System of Physical Chemistry 3ed Volume 3
William C Lewis
Manufacturer: LONGMANS GREEN & CO LTD
ProductGroup: Book
Binding: Hardcover
ASIN: B000QA18TQ

System of Physical Chemistry 3RD Edition Volume 3

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System of Physical Chemistry 3RD Edition Volume 3
William C Lewis
Manufacturer: LONGMANS GREEN & CO LTD
ProductGroup: Book
Binding: Hardcover
ASIN: B000UG05QS

Book Description

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Calculus + Linear Algebra in One Series.......2005-01-05

Book Description

Dwight Birdwell's sixteen months in combat in Vietnam were a mirror of the larger war effort.

Customer Reviews:

The Truth About Vietnam By Birdwell & Nolan.......2003-02-14

This Is a story of truth from the men who were In vietnam.Nolan served in the vietnam war.And from reading this book he takes you there.And tells us the american people what we never knew that happened during this war.An amazing truthful book to read.I would give it ten stars."Truth In justice for all of our vets" They are the back bone of this country.The goverment should know. When our vets came home sick and dying from agent orange.Our goverment denied everything.Even the one who gave the orders to drop It. Killed his own son.When his son died he knew it was from agent orange. He later killed himself because of his guilt.Since he was a high ranking officer he was sworn to silence.Like all the other military officers. Our goverment does not care about the men who not only died for this country.Also the ones they killed and never admitted to.The cost to the goverment would be to great.So deny ,deny, at all cost. As the govement has always lied about our vets.When they came home sick from Vietnam also Saudi Arabia.The goverment denied all of this again.Deformed babies,cancer,of all kinds.The goverment again denied our men came in contact with any chemicals to make them sick.When it has been proven that the air they breathed and the contact with tanks were contaminated from Iraq weapons used on our military soldiers.WHY''

Birdwell At The .50.......2002-05-29

I had no contact with Dwight Birdwell or the 3/4 Cav for 33 years, but the book took me back to Highway 1 last week. Accurate and truthful are the events and people (not the case in too many war memoirs). The photos are real troopers who got bloody. Even the dates were interesting for sorting memories.

One of my most vivid memories of the war had been Birdwell on a burning tank firing a .50 caliber machine gun until it glowed in the night, and his silhouette carrying out the badly wounded. That memory is in the book (Chapter 19) and accurate to the number of RPG's fired.

The lifers, loafers, heros, and base camp warriors are there also, warts and all. Read Tennyson for the glory of the cavalry, read Birdwell for the real thing.

One Hundred Miles of Bad Road.......2001-04-24

I've been a big fan of Keith William Nolan for quite some time. I read The Battle For Saigon with interest because I was a member of the 377th Security Police Squadron USAF that was given the task of defending Tan Son Nhut Airbase. I took part in the defense of the airbase during Tet 68. I read One Hundred Miles of Bad Road, after reading The Battle For Saigon, and finally realized just what Troop B, 3/4 CAV endured out on Highway One outside the west perimeter. The tenacity of the 25th INF and the leadership Lt. Col. Otis and Captain Virant was instrumental in thwarting the sustained ground attack by seven NVA/VC Regiments. This is an accurate account of the battle in and around Tan Son Nhut Airbase. I highly recommend this book.

A compelling account of Vietnam combat.......2000-07-01

Dwight Birdwell and William Nolan have produced a very good personal account of an armored crewman's 16-month tour in Vietnam. In addition to absorbing combat narratives, Birdwell provides a lot of details and context to help readers understand his story. He gives explicit reasons why his unit's morale and performance deteriorated over his tour, and how the Tet Offensive changed the nature of the war. I highly recommend this book to any student of the military or the Vietnam War. U.S. military officers should read it for examples of how good leadership can inspire a unit, and bad leadership can cost lives. Birdwell highlights the role of good, solid NCOs as the beating heart of a military unit.

A Cherokee warrior fought in Vietnam as a tank commander.......2000-05-10

So you want to know all there is to know about the Vietnam War? But did you know there are over 1,800 titles dealing with it? A Hundred Miles of Bad Road by double Silver Star winner Dwight Birdwell covers most of the key elements with" true grit" which John Wayne himself would be proud of.

For many of us who served in Vietnam,micro-managed by McNamara and similar desk commanders far from the action, Dwight Birdwell exposes the pre and post Tet Offensive for the crushing defeat the U.S. inflicted upon the North Vietnamese Army and their southern battering rams,the Viet Cong. Once the treacherous and fellow traveller U.S. media painted a false picture of American will and losses, "Bird" ( as he was known as by his fellow C Troop Armored Cavalrymen) leads you through the mire of leadership decline and enemy growth in III Corps, Cu Chi District,where he and his warrior band slugged it out night and day.

Cu Chi and its vast underground network "city" was the launch pad for the VC and NVA attack upon Saigon. Especially Tan Son Nhut Airport,where Dwight Birdwell won his first Silver Star atop his M48 tank,blazing away with the .50 cal. until out of ammunition,and then continuing while wounded with an M16. This Oklahoma Cherokee has the fighting blood of many generations of Cherokee warriors,but with incredible compassion and caring for the Vietnamese country people. They looked like and reminded him of some of the home folks around Bell,Oklahoma deep in the "Okie Ozarks" , his home.

Co-writer Keith W. Nolan with Mr. Birdwell is an accomplished Vietnam War author. Yet he failed to emphasize the impact of the Cu Chi District tunnel systems and warfare which allowed the VC and NVA to attack and disappear at will. Dwight Birdwell tried his own hand as a "tunnel rat" in one exercise only to return to his "Trac" or his tank while running the gauntlet of the MSR(Main Supply Route). Constant ambushes,mines and command detonated ordinance was a daily fact of life and death,while the enemy was always reported to "melt into the jungle". Not so. They went underground while our tanks and troops were treading or clanking away on top of them. Just as the Japanese were not on Iwo Jima,they were in it...the VC and NVA used primitive but spectacularly effective underground warfare tactics against "Bird's" 25th Division armored cav unit.

A Hundred Miles of Bad Road is a unique book by a good soldier who did his duty when America called. It went unspoken by Birdwell (or Nolan) but the reader is left to assume that the Vietnamese peddlars,whores with poncho ground "cloths" and dope dealers who would clamor around laagered tanks or APC's(armored personnel carriers) with their "wares" was just business as usual for people wracked by war,just trying to make a living. In fact, most of the locals "selling" the Yanks were spies,while prostitution and dope dealing were all part of the NVA and VC "quiet" assault against us. But we still traded with them,because SRTW (Sex Rules the World!)

Dwight Birdwell has high praise for his then Lt. Col.. Glenn K.Otis,later to retire as a 4 Star General Officer, as a great warrior leader who lead from the front and would not ask his men to do anything he wouldn't do. Real life fighting men are extolled by Birdwell: "Fighting" Frank Cuff, Gary D. Brewer, Jack Donelly, Bob Wolford,Mike Christie and many others. Normal American men molded together in battle,whose DNA held the strains of warriors reaching back in time through American and European history. How else can men do what they do to fight,defend and survive in battle? The intense training and American firepower (or technology) helps...but it comes down to "unit integrity" which Dwight Birdwell's team possessed. Until, of course, the KIA's, the WIA's, the rotations home,the replacements and the loss of will by the American people and our malingering politicians came to erode all aspects of the Vietnam War.

Mr. Birdwell really proves that America, never lost the war militarily. He exposes the rot which began during his extended tour,fomented by U.S. and South Vietnamese politicians and the Socialist/Communist intelligencia holding sway then,and now, on America's campuses. It was they who "lost" the War.

No Vietnam War library ,or class studying the War, should be without One Hundred Miles of Bad Road. Today Dwight Birdwell is an Oklahoma City sole practitioning attorney at law. His office is three blocks South of the new, national memorial to the 168 dead from the Murrah Building bombing. Dwight had seen this all before in 'Nam...an event which, sub rosa, still eats at most Vietnam veterans who saw combat action as Dwight Birdwell did. Read his book and let him tell it to you straight about our land -based war in Southeast Asia...from the view of a Tank Commander who survived a rolling coffin. Also, if you believe in premonitions or ESP...just count the number of life saving survival events "Bird" experienced...by mere seconds or millimeters !

Book Description

A guide for parents with seriously ill children. A review of the emotional and financial impact of a child's seven year fight with cancer and other illness, including a liver transplant. A detailed summary of the health care system will help enlighten many parents who are unfamiliar with the complexities of insurance companies and large hospital networks. Amanda's Gift touches on all areas of life as a caregiver, including the impact on faith and marriage.

Customer Reviews:

Bunnylove.......2003-02-25

This book has truly helped me, go through the illness and death of my 4 1/2 yr old special needs son. What is so neat is that while this family lived in IL, Amanda and her sister attended the preschool and school where I worked. I met Amanda in person , and watched her in the "green room" many times. I always remember holding her and "Bunnylove" little did I know that when I became a mother I would go down the long road of having a sick child who now lives with the angel's. I hope and pray Amanda is alive and well, but if she too has gone home with the Angel's I know she and my little boy are together

SCOTT GAVE US THE REAL GIFT!.......2000-09-11

This author has provided the public at large with several real gifts. The first is the gift of his beautiful daughter, Amanda. The second was his unflinchingly honest assessment of Amanda's illness and the tragic impact it had on her family. The third gift was making his (and Amanda's) story public. This man has done an invaluable service and one can't help but hope for peace in their lives. This book is very inspirational.

A must read for children with serious illness........1999-08-21

This book, to be quite honest, at times is hard to read. Not because it doesn't flow or make sense, but because it is so easy to relate to what Scott has written. There were many times when I found myself thinking how I have expressed many of the same emotions and frustrations that Scott wrote about. It brought tears on more than one occassion. However, I am very glad I read the book. It is very helpful. Both with practical advice and in dealing with your emotions as you battle serious childhood illness. Thank you Scott, your book has been a gift to countless families.

Lettering : Make Your Own Cards, Signs, Gifts and More (Kids Can Do It)

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Lettering : Make Your Own Cards, Signs, Gifts and More (Kids Can Do It)
Amanda Lewis
Manufacturer: Kids Can Press, Ltd.
ProductGroup: Book
Binding: Paperback

Crafts & Hobbies | Arts & Music | Children's Books | Subjects | Books

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ASIN: 1550742329

Book Description

Lettering will introduce kids to the basics of calligraphy, traditional lettering skills and the principles of design. Kids can make greeting cards, project covers, banners and more. They'll also discover many unique calligraphy projects, such as a 3-D letter tower and letter jewelry made from baking clay. Kids who would rather use a computer can explore the chapters on newsletter and letterhead design and layout. A great book for creative minds, Lettering includes alphabets of beautiful letters and instructions for more than 20 eye-catching projects for home and school.

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Danger and Romance in Cooper's Corner

Her Stolen Past (Free Gift)
Amanda Stevens
Manufacturer: Harlequin
ProductGroup: Book
Binding: Mass Market Paperback

General | Romance | Subjects | Books

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ASIN: 0373612621

Book Description

Welcome to Twin Oaks -- the new B and B in Cooper's Corner. Some come for pleasure, others for passion -- and one to set things straight . . .

Check-in: Librarian Beth Young was so quiet, she simply blended in to the town of Cooper's Corner. But Clint Cooper, co-owner of Twin Oaks, couldn't help but notice her as she played piano each evening at the B and B. Her music was haunting . . . and to Clint, so was her beauty. But Beth didn't dare act on the attraction she felt for Clint.

Checkout:Beth wasn't really a mild, retiring librarian -- she wasn't even Beth Young. In fact, she had no memory of who she was. But she sensed she was hiding out from a terrible danger, and risking Clint's love meant risking his life . . .

Customer Reviews:

Danger and Romance in Cooper's Corner.......2004-01-18

HER STOLEN PAST by Amanda Stevens

HER STOLEN PAST by Amanda Stevens is part of the COOPER'S CORNER line of books published by Harlequin books. This was my first taste of the series, and so far I am impressed.

In this novel, we are introduced to the town of Cooper's Corner and Clint Cooper, the co-owner of the bed and breakfast called Twin Oaks. He and his young son Keegan moved to this little town from the big city of New York after Clint's wife and Keegan's mother Kristin had passed away. They would have stayed in New York, except for the fact that Clint noticed Keegan was starting to get involved with gangs. Clint's sister Maureen convinced them to move from New York to the small town of Cooper's Corner, and now she and Clint co-owned the bed and breakfast.

Beth Young is the local librarian in town, as well as the pianist on certain nights at the Inn. Clint has always felt an attraction for her and Keegan figures this out. The young pre-teen decides to play matchmaker, and somehow sets up a scam to get his father to meet Beth for dinner, and soon the two of them are embarking on something that almost looks like the start of a relationship.

In the mean time, unbeknownst to the rest of the town, Beth was in a horrific car accident two years ago and was an amnesia victim. She never regained the memories of who she used to be. Beth doesn't even remember her own name. The name "Beth Young" was given to her by a cancer patient named Addie who shared Beth's room at the hospital during her recovery period. To honor her friend, Beth moved to Cooper's Corner and took over the name of Addie's deceased granddaughter Beth. Beth's memories go no further than that. The only part of her that she knows is from her past is her ability to play the piano, playing music that she had written in her past.

There is a mystery behind Beth's past, a mystery that is tied to the music she plays on the piano. She believes that someone is out there looking for her, wanting her dead, and that her car accident was no accident. She fears that it really was a murder attempt. Because of this belief, Beth is afraid to get close to Clint and Keegan, afraid to endanger their lives. But it's too late. Clint has fallen in love with Beth, and soon they both find that they are involved in something that may endanger their lives.

Book Description

Some brief encounters stir deeply-felt emotions, then slip away. But after a chance airport meeting with a beautiful dress shop owner whose name he does not know, lab scientist Colin McCrea resolves to find and win over the mysterious woman who so completely captured his heart in Love Wanted.

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Decorating Gift Baskets, Boxes, & Bags
Amanda Knight
Manufacturer: Sterling Pub Co Inc
ProductGroup: Book
Binding: Hardcover

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ASIN: 0806942754

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FLORIAN'S SPECIAL GIFT
Ned & Goodrich, Amanda Mansour
Manufacturer: Author
ProductGroup: Book
Binding: Hardcover
ASIN: B000NREIBC

The Gift Of Happiness (Harlequin Presents, No. 1127) (Harlequin Presents, No 1127)

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The Gift Of Happiness (Harlequin Presents, No. 1127) (Harlequin Presents, No 1127)
Amanda Carpenter
Manufacturer: harlequin
ProductGroup: Book
Binding: Paperback

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ASIN: 0373111274

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Wonderful pictures!

Lion's Precious Gift
Barbara Bennett
Manufacturer: Barron''s Educational Series
ProductGroup: Book
Binding: Hardcover

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ASIN: 0764155334
Release Date: 2006-02-23

Book Description

As the king of all animals, Lion is proud of his magnificent crown. But when Lioness tells him that the world is filled with many more precious things, he declares that whoever should find so precious a gift will receive his crown as a prize. Birds and beasts come to Lion from all over the world with things that they believe are precious. Not one of their gifts satisfies Lion—until Lioness returns to the scene. She presents Lion with a gift that astonishes them all. Large, brightly colored illustrations on every page will appeal to very young boys and girls who have this story read to them. (Ages 4-8)

Customer Reviews:

Wonderful pictures!.......2006-09-06

Even though I'm 13, and I got this book when I was 12, I was looking through the books on an Amazing Savings store with my mom and saw this book. I expected it to have cheesy pictures and badly drawn but I was so mistaken!This book is filled with beautiful pictures and splashy colors that make the setting of they story seem mystical and the book truly has a message everyone can learn from.

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