Classical Mechanics: A Modern Perspective
Average customer rating: 3 out of 5 stars
  • Short but has some interesting examples
  • Not good for the new-bee but a fair reference for the vet
  • Needs more examples
  • This book has too many errors
  • Good, concise, compact and modern book.
Classical Mechanics: A Modern Perspective
Vernon Barger , and Martin Olsson
Manufacturer: McGraw-Hill Companies
ProductGroup: Book
Binding: Hardcover

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ASIN: 0070037345

Book Description

An outstanding volume in the McGraw-Hill series in pure and applied physics, Barger/ Olsson provides solid coverage of the principles of mechanics in a well-written, accessible style. Covering linear motion, energy conservation, Lagrange's Equations, Momentum Conservation and moving all the way through to Non-Linear Mechanics and Relativity, the text is comprehensive and appropriate for the two-semester course.

Customer Reviews:

4 out of 5 stars Short but has some interesting examples.......2002-03-16

This book, although short, is a fairly good overview of classical mechanics, which emphasizes more recent developments in the theory, such as chaotic dynamical systems. The authors do however remain concrete in their treatment, with real-world examples permeating the text. The details behind the theory of classical mechanics are presented very quickly in the book, and this might make the book difficult to read for students first exposed to mechanics at this level.

Chapter one is an introduction to motion in one dimension. After a brief review of Newton's laws, the authors solve some neat problems dealing with damping forces, one being the frictional force on a drag racer, and the other with aerodynamic drag on a parachute. They also treat the undamped and damped harmonic oscillator, and the discussion is very standard. The authors are careful to point out that some force laws are too complicated to be solved analytically, but that computing methods can be used to solve the cases that are not. Computational approaches are now the rule rather than the exception in problems in mechanics, and this trend will continue in the future.

After a short discussion of energy conservation, the authors introduce motion in three dimensions and give a fairly detailed overview of vector notation. Their approach to tensors though is kind of antiquated, for it motivates them via the outer product, which is reminiscent of the dyadic approach that is currently "out of fashion". The authors also discuss the simple pendulum, but do not of course introduce the elliptic curve solutions that accompany this problem. Such a treatment, however fascinating, would drive this book to a height that would make it inaccessible to the audience of students it addresses. Coupled harmonic oscillators are solved using the normal mode approach.

Lagrangian mechanics is introduced in chapter 3, but not from the standpoint of variational calculus at first. Instead the authors choose to present this formulation via generalized forces. They include a discussion of constraints, and give as an example the simple pendulum with a moving support. Only later do they give the Lagrangian formulation via variational calculus, and do so rather hurriedly. Hamilton's equations are derived, and it is shown (again briefly) how Legendre transformations enter into the formalism of Hamiltonian mechanics.

Conservation principles are then thought of as fundamental in the rest of the book, and the authors use momentum conservation to discuss elastic and inelastic collisions in chapter 4. Angular momentum conservation is then used in chapter 5 to discuss central forces and planetary motion. Kepler's laws are also discussed, and Rutherford scattering is discussed. All of the discussion is pretty standard and can be found in most textbooks on classical mechanics.

Rigid body mechanics makes its appearance in chapter 6, wherein the authors discuss the rotational equations of motion of many-particle systems and rigid bodies. A very brief discussion of gyroscopic mechanics is given, but the authors make up for this by explaining the motion of boomerangs. The discussion is fun to read and should satisfy the curious reader as to why a boomerang returns. And, after a discussion of how to calculate the moment of inertia, the authors give a neat introduction to the physics of billiards and the superball. The latter is a popular physics demonstration and the authors show how its motion differs from an ordinary smooth ball.

The difficult (and controversial) topic of accelerated coordinate systems is treated in chapter 7. The four famous "fictitious" forces are introduced, and to develop the reader's intution on these, the authors give a nice example dealing with the manufacture of telescope mirrors. The casting of the mirrors is a neat illustration of the famous Newtonian water pail experiment. The motion of the Foucault pendulum is also discussed briefly. Then after a discussion of principal axes and Euler's equations, the authors give another neat example, this time dealing with the motion of tennis rackets, which illustrates the motion of a rigid body with unequal principal moments of inertia. The physics of tops is then discussed, and in a manner which makes the underlying physics more intuitive for the reader. The authors make an attempt to understand the motion of the famous tippie-top, but don't really do so. The tippie-top is another popular demonstration in the classroom but its physics has eluded the best attempts, and this treatment is no exception. The flip times that are calculated are not in agreement at all with what is observed in the demonstration.

Chapter 8 is an overview of gravitational physics, and the authors show the effects of a body moving in a non-uniform gravitational field, with an example dealing with the tides. Interestingly, the authors attempt to introduce the general theory of relativity, and do so more at a level of elementary mathematics and arm-waving arguments, but the treatment is suitable at this level. The authors show the difference between the orbits predicted by general relativity and the Newtonian theory, i.e. the famous perihelion advance.

A brief overview of Newtonian cosmology is given in chapter 9, wherein the authors discuss the expansion of the universe and the cosmic redshift. After proving the virial theorem, they discuss the effects of dark matter on the rotations of spiral galaxies and groups of galaxies, which is currently a very hot topic in astrophysics.

The special theory of relativity is treated in chapter 10, and the discussion is very standard. Readers are introduced to relativistic mechanics and some of the counterintuitive physics of the theory.

The last chapter of the book is an introduction to non-linear dynamics and chaos. It is defined as sensitive dependence on initial conditions, although this is not a strong enough condition. The Duffing oscillator is offered as an example of chaotic behavior and the transition to chaos is studied as a function of the driving frequency. This brings up concepts from bifurcation theory, such as the idea of a strange attractor. Numerical analysis plays the dominant role in these theories.

3 out of 5 stars Not good for the new-bee but a fair reference for the vet.......2000-08-08

This book made me violently angry for the first semester, the lagrangian is presented well, and the Foucault Pendulum is ok if it weren't for all the errors (not glaring missing d/dt in a couple places, if you know the material you pick it out quickly). NOTICE: IF YOU KNOW THE MATERIAL!! How is a new CM student supposed to do that!!! I did learn well because of the torture of surviving my CM class, the problems sets are pretty neat I will say, but vague at times and a HUGE array of difficulties, from "what's 2+2?" to problems that made me nauseous, and produced intantaneous narcolepsy. In hindsight I learned quite a bit and its a neat litle hand book for the Grad, but man its painful for the new student. I agree WHOLE HEARTIDLY that saying "HEY! this is a tensor" is ridiculous, a math appendix would do WONDERS, or having the Feynman lectures nearby as well. I'd say with some better editing and some more appendecies it would be a good book, beware though the book is TINY and the price is meaty.

3 out of 5 stars Needs more examples.......1999-09-01

I had studied "Classical Dynamics" by Marion more than 25 years ago. At the time I found Marion to be a difficult leap from the relatively easy first courses. Most of the critism, I suspect, comes from hitting the cold water for the first time. I thought the authors did a good job of explaining the concepts I wanted to review. I do not know how I would have felt if this were a first reading as my textbook 25 years ago. The one suggestion I can make is a plea for more example problems worked in detail. Like most physics students, problem solving is the most difficult task to master and seeing the techniques used by the masters are not to be underestimated. Having spent years looking for the one book from which all is clear on first reading this one does not qualify. But it is a good beginning if you choose to stay in the water.

1 out of 5 stars This book has too many errors.......1999-02-11

Of all the physics books, I have seen and used, this has the most errors in it. And they arn't just typeo's, this book also has conceptual errors in it. This book also has "unique" and sometimes cryptic ways of proving, and presenting concepts. This apparitly apeals to Professors who already know classical mechanics, but for the first time sudent it is quite troublesome. In short if you want a book you can trust, and you can learn the first time around from, don't choose this one. It has to be the worst physics text I have had inflected on me yet at this level.

4 out of 5 stars Good, concise, compact and modern book........1998-07-19

Prof. Barger and Olsson show a new perspective in introducing the classical mechanics to junior level undergraduate in Physics. They successfully give a fresh treatment of mechanics by introducing the lagrangian in the earlier part of the book. Recommended for use in junior level mechanics physics.
Analytical and numerical methods of celestial mechanics, (Modern analytic and computational methods in science and mathematics)
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    Analytical and numerical methods of celestial mechanics, (Modern analytic and computational methods in science and mathematics)
    G. A Chebotarev
    Manufacturer: American Elsevier Pub. Co
    ProductGroup: Book
    Binding: Unknown Binding

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    ASIN: B0006BOHFM
    An Introduction to Modern Variational Techniques in Mechanics and Engineering
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      An Introduction to Modern Variational Techniques in Mechanics and Engineering
      Bozidar Z. Vujanovic , and Teodor M. Atanackovic
      Manufacturer: Birkhäuser Boston
      ProductGroup: Book
      Binding: Hardcover

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      ASIN: 0817633995

      Book Description

      This book is devoted to the basic variational principles of mechanics, namely the Lagrange--D’Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the basis of contemporary analytical mechanics, and from them the body of classical dynamics can be deductively derived as a part of physical theory.

      In recent years variational techniques have evolved as powerful tools for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems, as is emphasized in this book. Presented here are a wide range of possibilities for applying variational principles to numerous problems in analytical mechanics, including the Noether Theorem for finding conservation laws of conservative and nonconservative dynamical systems, the application of the Hamilton--Jacobi and field methods suitable for nonconservative dynamical systems, the variational approach to modern optimal control theory, and the application of variational methods to the stability and optimization of elastic rod theory.

      Mathematical prerequisites are kept to a minimum, and the exposition is intended to be suggestive rather than mathematically rigorous. Each chapter begins with widely understood mathematical principles and unfolds systematically toward more advanced topics. Examples and novel applications are presented throughout to clarify and enhance the theory.

      An Introduction to Modern Variational Techniques in Mechanics and Engineering will serve a broad audience of students, researchers, and professionals in analytical mechanics, applied variational calculus, optimal control, physics, and mechanical and aerospace engineering. The book may be used in graduate and senior undergraduate dynamics courses in engineering, applied mathematics, and physics departments, or it may also serve as a self-study reference text.

      Modern Analytic Mechanics
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        Modern Analytic Mechanics
        Claudio Pellegrini , and Richard K. Cooper
        Manufacturer: Springer
        ProductGroup: Book
        Binding: Hardcover

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        ASIN: 0306459582

        Book Description

        This authored textbook is aimed at upper-level students in physics, engineering, and other sciences. Its subject refers to the classical mechanics of today and is essential to the training of physicists as well as being useful in a variety of industrial and commercial applications having to do with the design of moving equipment in the automobile, aerospace, and control devices industry. The authors have important exercises which are to be done using a computer to solve linear and nonlinear problems and to have a graphical representation of results. An extensive Appendix on computer methods from Fortran and Mathcad enhance the appeal of the book to meet current needs.
        A Modern Introduction to the Mathematical Theory of Water Waves (Cambridge Texts in Applied Mathematics)
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          Modern mechanics;: A vectorial approach
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            Christopher Albert Leslie Wragg
            Manufacturer: Edward Arnold
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            New Advances in Celestial Mechanics and Hamiltonian Systems (Modern Approaches in Geophysics)
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              Manufacturer: Springer
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              Binding: Hardcover

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                    Lindy Blues: The Big Scoop (Lindy Blues)
                    Average customer rating: 5 out of 5 stars
                    • Kids seeking easy reads above the picture book level will find the plots involving.
                    Lindy Blues: The Big Scoop (Lindy Blues)
                    Dorian Cirrone
                    Manufacturer: Marshall Cavendish Children's Books
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                    Lindy Blues solves the mystery of the disappearing ice-cream shop

                    Lindy Blues, Your Nose for News, is stumped when she hears about the missing ice-cream shop. How could "Mr. Hoop's Super Scoop" go missing and then mysteriously reappear? But the news tip came from one of Lindy's best news sources, Joshua and Amy Becker, and Lindy's news sources are very important to her. Plus, Lindy knows the Beckers would never lie about ice cream. As Lindy sniffs around the neighborhood for clues, she realizes that this might be her toughest scoop yet! Time is running out for her Saturday night news program, and all Lindy has is a story about flowers and their biological clocks. Will she crack the case of the missing ice-cream store in time for the LBN newscast? Tune in to find out!

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                    5 out of 5 stars Kids seeking easy reads above the picture book level will find the plots involving........2006-10-08

                    Dorian Cirrone's LINDY BLUES: THE BIG SCOOP provides ages 7-10 with the story of a missing ice cream shop. Reporter Lindy Blues finds the whole disappearance - and reapparance - puzzling. In fact, the scoop she hopes for in solving the puzzle seems long in coming. Liza Woodruff provides fun black and white drawings to pair with this story of intrigue and just desserts. While color might have made these more compelling, kids seeking easy reads above the picture book level will find the plots involving.
                    The Big Scoop (Harlequin Flipside)
                    Average customer rating: 4 out of 5 stars
                    • enjoyable contemporary frolic
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                    4 out of 5 stars enjoyable contemporary frolic .......2004-11-14

                    Peachtown, British Columbia is in financial trouble as a long term drought has kept tourists away. Ice Cream parlor guru Sally Danville thinks by providing the best ice cream in the world she might save her town. However, to do so she needs advertising and she has no money to do so.

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                    Travis and Scoop's Big Race
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                      ON YOUR MARK...GET SET...

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                      Big scoop: Gailey's got his trouble licked: with Georgia Tech on the verge of a breakout season, life is sweet--and it's fat-free.(College Football): An article from: The Sporting News
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                        Citation Details
                        Title: Big scoop: Gailey's got his trouble licked: with Georgia Tech on the verge of a breakout season, life is sweet--and it's fat-free.(College Football)
                        Author: Matt Hayes
                        Publication: The Sporting News (Magazine/Journal)
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                        Dining in the big house.(PISTOLSMITHING: THE INSIDE SCOOP ON PISTOLSMITHING TECHNIQUES) : An article from: American Handgunner
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                          Dining in the big house.(PISTOLSMITHING: THE INSIDE SCOOP ON PISTOLSMITHING TECHNIQUES) : An article from: American Handgunner
                          Alex Hamilton
                          Manufacturer: Publishers' Development Corporation
                          ProductGroup: Book
                          Binding: Digital

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                          ASIN: B000ALRFSO
                          Release Date: 2005-07-25

                          Book Description

                          This digital document is an article from American Handgunner, published by Publishers' Development Corporation on July 1, 2005. The length of the article is 419 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

                          Citation Details
                          Title: Dining in the big house.(PISTOLSMITHING: THE INSIDE SCOOP ON PISTOLSMITHING TECHNIQUES)
                          Author: Alex Hamilton
                          Publication: American Handgunner (Magazine/Journal)
                          Date: July 1, 2005
                          Publisher: Publishers' Development Corporation
                          Volume: 29 Issue: 176 Page: 40(1)

                          Distributed by Thomson Gale
                          IgoUgo Travel Report: Big Island: The Inside Scoop from Experienced Travelers
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                            IgoUgo Travel Report: Big Island: The Inside Scoop from Experienced Travelers
                            By IgoUgo Members
                            Manufacturer: IgoUgo
                            ProductGroup: Book
                            Binding: Digital

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                            ASIN: B0000YHO4G
                            Release Date: 2005-07-01

                            Book Description

                            On the Big Island of Hawaii, nature is writ large. Skiers zip down the world's tallest mountain (measured from sea level). Hikers watch the most active volcano on earth spew fireworks into the sky. Amazingly diverse in terrain and climate, the Big Island has immaculate beaches, misty rain forests, and stark plains of black lava. The world aboveground can look forbidding, but the world underwater is teeming with life. Divers and snorkelers find waters bustling with all manner of tropical sea life. If fishing is your game, Hawaii is the place to nab your trophy. Touring the island by car is an adventure in itself, revealing every possible kind of scenery, from snow to oozing lava. You'll also find Hawaiian history etched onto the island, quite literally: ancient rock carvings are more numerous here than on any other island, and never fail to fascinate visitors.

                            IgoUgo Travel Report: Big Island is not your average travel guide. Every piece of advice found in these pages comes from regular travelers and locals-not paid professionals or PR people-which means pure, unfiltered opinions on what to see (and what to avoid) during your trip. You'll find first-hand details on attractions and day trips, along with restaurant, nightlife, and activity recommendations in all price ranges and for all interests. You'll also see our contributors' original photographs and insider tips on every page-no other travel guide can say that.

                            IgoUgo contributors hail from all over the globe and travel just about everywhere in between. These avid travelers share their adventures and snapshots in online journals at IgoUgo.com, the world's premier web-based travel community. Our 350,000+ members have written over 300,000 journal entries covering more than 4,000 destinations. IgoUgo's emphasis on personal, real-life travel experiences has garnered a Webby Award for "Top Travel Website" as well as accolades from Yahoo! Internet Life, which voted it "Best Travel Community."

                            Download Description

                            On the Big Island of Hawaii, nature is writ large. Skiers zip down the world's tallest mountain (measured from sea level). Hikers watch the most active volcano on earth spew fireworks into the sky. Amazingly diverse in terrain and climate, the Big Island has immaculate beaches, misty rain forests, and stark plains of black lava. The world aboveground can look forbidding, but the world underwater is teeming with life. Divers and snorkelers find waters bustling with all manner of tropical sea life. If fishing is your game, Hawaii is the place to nab your trophy. Touring the island by car is an adventure in itself, revealing every possible kind of scenery, from snow to oozing lava. You'll also find Hawaiian history etched onto the island, quite literally: ancient rock carvings are more numerous here than on any other island, and never fail to fascinate visitors.

                            IgoUgo Travel Report: Big Island is not your average travel guide. Every piece of advice found in these pages comes from regular travelers and locals-not paid professionals or PR people-which means pure, unfiltered opinions on what to see (and what to avoid) during your trip. You'll find first-hand details on attractions and day trips, along with restaurant, nightlife, and activity recommendations in all price ranges and for all interests. You'll also see our contributors' original photographs and insider tips on every page-no other travel guide can say that.

                            IgoUgo contributors hail from all over the globe and travel just about everywhere in between. These avid travelers share their adventures and snapshots in online journals at IgoUgo.com, the world's premier web-based travel community. Our 100,000+ members have written over 60,000 journal entries covering more than 4,000 destinations. IgoUgo's emphasis on personal, real-life travel experiences has garnered three Webby Award nominations for "Top Travel Website" as well as accolades from Yahoo! Internet Life, which voted it "Best Travel Community."
                            The inside scoop on strikeouts: despite being an unproductive at-bat, going down on strikes adds excitement to game and is more common than ever in big ... history. : An article from: Baseball Digest
                            Average customer rating: Not rated
                              The inside scoop on strikeouts: despite being an unproductive at-bat, going down on strikes adds excitement to game and is more common than ever in big ... history. : An article from: Baseball Digest
                              George Vass
                              Manufacturer: Thomson Gale
                              ProductGroup: Book
                              Binding: Digital

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                              ASIN: B000BD9UIO
                              Release Date: 2005-09-12

                              Book Description

                              This digital document is an article from Baseball Digest, published by Thomson Gale on August 1, 2005. The length of the article is 5156 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

                              Citation Details
                              Title: The inside scoop on strikeouts: despite being an unproductive at-bat, going down on strikes adds excitement to game and is more common than ever in big league history.
                              Author: George Vass
                              Publication: Baseball Digest (Magazine/Journal)
                              Date: August 1, 2005
                              Publisher: Thomson Gale
                              Volume: 64 Issue: 6 Page: 20(10)

                              Distributed by Thomson Gale
                              Nestle scores big merger coup in Europe, but gets FTC grief in United States market. (Ice Cream Scoops).(Federal Trade Commission is against the food conglomerate's ... from: Quick Frozen Foods International
                              Average customer rating: Not rated
                                Nestle scores big merger coup in Europe, but gets FTC grief in United States market. (Ice Cream Scoops).(Federal Trade Commission is against the food conglomerate's ... from: Quick Frozen Foods International

                                Manufacturer: E.W. Williams Publications, Inc.
                                ProductGroup: Book
                                Binding: Digital

                                GeneralGeneral | Business & Investing | Subjects | Books
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                                ASIN: B0008DFMDO
                                Release Date: 2005-07-31

                                Book Description

                                This digital document is an article from Quick Frozen Foods International, published by E.W. Williams Publications, Inc. on April 1, 2003. The length of the article is 835 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

                                Citation Details
                                Title: Nestle scores big merger coup in Europe, but gets FTC grief in United States market. (Ice Cream Scoops).(Federal Trade Commission is against the food conglomerate's acquisition of Dreyer's Grand Ice Cream)
                                Publication: Quick Frozen Foods International (Magazine/Journal)
                                Date: April 1, 2003
                                Publisher: E.W. Williams Publications, Inc.
                                Volume: 44 Issue: 4 Page: 83(2)

                                Distributed by Thomson Gale
                                SAT/ACT survival guide: boost your scores by being prepared. Here's the scoop on what to expect from the big tests.(Strategies For Success): An article from: Careers & Colleges
                                Average customer rating: Not rated
                                  SAT/ACT survival guide: boost your scores by being prepared. Here's the scoop on what to expect from the big tests.(Strategies For Success): An article from: Careers & Colleges
                                  Jaclyn Lieber
                                  Manufacturer: EM Guild, Inc.
                                  ProductGroup: Book
                                  Binding: Digital

                                  NonfictionNonfiction | Subjects | Books | Automotive | Books on CD | Books on Cassette | Crime & Criminals | Current Events | Economics | Education | Foreign Language Nonfiction | Government | Holidays | Law | Philosophy | Politics | Social Sciences | Transportation | True Accounts | Urban Planning & Development | Women's Studies
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                                  ASIN: B0008E4TYQ
                                  Release Date: 2005-07-31

                                  Book Description

                                  This digital document is an article from Careers & Colleges, published by EM Guild, Inc. on September 1, 2003. The length of the article is 1995 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

                                  Citation Details
                                  Title: SAT/ACT survival guide: boost your scores by being prepared. Here's the scoop on what to expect from the big tests.(Strategies For Success)
                                  Author: Jaclyn Lieber
                                  Publication: Careers & Colleges (Refereed)
                                  Date: September 1, 2003
                                  Publisher: EM Guild, Inc.
                                  Volume: 24 Issue: 1 Page: 36(3)

                                  Distributed by Thomson Gale
                                  The Big Scoop (Harlequin Flipside #30)
                                  Average customer rating: Not rated
                                    The Big Scoop (Harlequin Flipside #30)
                                    Sandra Kelly
                                    Manufacturer: Harlequin
                                    ProductGroup: Book
                                    Binding: Paperback
                                    ASIN: B000OWHKEI

                                    Books:

                                    1. Combinatorial Optimization: Networks and Matroids
                                    2. Computational Materials Science: From Ab Initio to Monte Carlo Methods (Springer Series in Solid-State Sciences)
                                    3. Cryogenic Particle Detection
                                    4. Crystal Chemistry of High-Tc Superconducting Copper Oxides (Springer Series in Materials Science)
                                    5. Density Functional Methods in Physics (Nato a S I Series Series B, Physics)
                                    6. Different Brains, Different Learners: How to Reach the Hard to Reach
                                    7. Drugs for the Treatment of Respiratory Diseases
                                    8. Electron Correlations in Molecules and Solids (Springer Series in Solid-State Sciences)
                                    9. Electron Microscopy of Interfaces in Metals and Alloys (Electron Microscopy in Materials Science Series)
                                    10. Elliptic Boundary Problems for Dirac Operators (Mathematics: Theory & Applications)

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