Book Description
Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity. With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology. For advanced undergraduates and graduate students, or anyone interested in astronomy, cosmology, physics, or general relativity.
Customer Reviews:
Wordy and Wonderful.......2006-12-12
This is an advanced text, but all the same it is not particularly rigorous or dense, so it is in principle accessible to the beginner. With an easy authority, Carroll leads us on a wandering journey through the mystical lands of general relativity. This is very different from, and compliments nicely, the clarity and directness of Wald. As a student of GR, I use Wald for the bottom line on any subject, and Carroll for the random physical or computational insights that I invariably find in any section of the book. Carroll's prose is like music to the ear and I always enjoy myself when I decide to open up this book.
Be warned that there are lots of mistakes in this first edition--you might want to wait for the second one.
Also, his chapter on cosmology is better than any I've seen.
BY FAR the best book on GR.......2006-10-21
I am currently on the 4th chapter of Carroll's "Spacetime and Geometry" and thus far I am amazed at how clear it is. Sure there is a lot of math in it however that also is very clearly explained. In fact, I think that Carroll explains the differential geometry material better than any mathematician has in any book on the subject. If you want to learn general relativity, there is no getting around the math; sooner or later you'll have to learn it. I'd suggest, especially if you are self-studying the subject, to rather pick up this book and go through it than pick up a more "elementary" text and a book on Riemannian geometry to look at later.
(Although I do also highly recommend Kay's (Schaum outline) "Tensor Calculus" for self study. The prima donnas don't like Kay's book because it "doesn't have enough theory." I suppose if a freshman calculus book does not have the Lebesgue integral defined in ti they'll complain about that too.)
Because, you can always skip through certain sections if the math is too heavy and go back through it later. And like I wrote earlier, you won't find a better introduction to the mathematical material than here.
Carroll should be given the Nobel prize for this book. If not in Physics, then in literature. I'd give this textbook 10 stars if I could.
A nice blend of the ideas of physics with mathematics.......2006-04-11
Kudos to Carroll.
This book is an excellent INTRODUCTION to SR and GR for the graduate physics student as well as the graduate mathematics students.
Pure mathematics often loses sight of the ideas which motivated it and physics often loses the mathematical foundations from which it is built.
This book offers some level of mathematical formalism to the physics student while exposing the ideas motivating the mathematical concepts.
I particularly like how he builds up the mathematical machinery of GR by introducing sets then topology on this set giving a topological space. Now he adds in the ideas of a manifold which make this topological space look like Rn locally with the patches sewn together smoothly. The manifold comes equipped with tangent space, cotangent spaces and their product spaces giving tensor spaces. These are defined nicely with reference to component formalism as well as the multilinear algebra approach as maps from products spaces to the reals, etc. He delves into forms and tantalized the reader with deRham cohomology although doesnt go into it. He shows how these can be differentiated ( exterior derivative ) and integrated.
Now the metric is introduced giving a geometry. To this is added a connection which is independent of the metric and leads to notions of parallel transport and differentiation of tensors ( covariant derivative ). One sees that in a special case one can derive a unique connection from the metric ( Levi-Cevita ) which is used in GR.
Fibre bundles, Lie derivatives, pullbacks etc are introduced as needed.
He then presents some introductory GR material by applying the mathematics.
Great Book But Won't Get You To The Promised Land.......2005-12-14
My comments come with a few caveats.
1. This is my fourth GR book.
2. I'm not hardcore into physics. I'm not a physic grad and I'm reading GR for fun. I have a decent graduate math background but I've been corrupted with 10+ years in working in various roles software engineering, electronics engineering and marketing.
3. I assume that since you're considering buying this book, you're goal is to get at the "real" GR, not the watered down discover channel version.
With these caveats in mind, here are my comments.
First, on a scale of 1-5, I rank Carroll at level 3 in terms of math/physics maturity and thoroughness. Here is my full ranking of authors from my limited reading: 1. schutz 2. hartle 3. penrose 3. carroll 4. wald 5. physics journal articles
Second, using the rankings above, I recommend Carroll as the second port of entry. If you're comfortable with multivariable calculus, start with schutz (#1). You'll get warm fuzzies doing the toy exercises. But Schutz is tensor/math-lite. If you've had advanced calculus and geometry already, jump in with carroll (#3). But you'll be hard-pressed to find anyone else as polite to the reader. He won't prepare you for 80 percent of what's published. If you're ready to throw off the training wheels and jump dive into mainstream GR go with Wald (#4).
Note that Hartle (#2) is a good "tweener" book with feel-good exercises and some of the full-on GR equations at the end. I bet most instructors teaching a first year grad course would go with Hartle along with a dose of supplementary material.
Third, don't expect Carroll to be your last GR book purchase if you want to reach the promised land (see caveat #4). Living and breathing GR is found in physics journals and for that you'll need Wald or another advanced GR book.
good math chapters, not at beginner's level after that.......2005-03-07
I had a course based on that book and I've read chapters 1-6 (out of 9 chapters total) plus all the appendices. Also, I've solved some of the problems.
Please keep in mind my review is from a beginner point of veiw. Readers more experienced in GR may feel different but that book is supposedly written for beginners right?
The math chapters 2 and 3 are worth reading because they will teach you tensor analysis on manifolds in much clearer way than other books. The book makes a clear distinction between assumptions, choices (like working with a metric compatible connection), or derived facts. It is nice that the book makes a difference between a Christoffel connection and a generic connection. The appendices are worth reading too cause they will give you a feeling for some new to you math necessary for GR like pullbacks, Lie Derivatives, hypersurfaces etc.
Chapter 4 is worth reading too cause it makes clear that Einstein's equations are just the simplest guess out of many other possibilities. Also it shows how we generalize physical laws from special relativity to GR making it clear our choices are the simplest ones but not the only ones possible.
The chapters after that discuss applications of GR like black holes, gravitational radiation, cosmology etc. Of these, I've read only the black holes chapters 5 and 6 and I wasn't able to understand 100% what was goin on. The problem was that the book uses concepts that you still don't quite understand if you are a beginner like 'spacelike singularity' or 'conformal diagrams'. That is informative but the book doesn't provide the necessary level of detail and examples for beginners so you could really master such concepts and use them in your practise.
There are problems after each chapter but not the necessary beginners problems that increase your conceptual understanding of the theory. Instead, some of the problems are just tedious algebra of type 'find the curvature for some general form of the metric' for which specialists in the field use symbolic programs like Mathematica. Solving these by hand proves that you can take derivatives and you are a mazochist but not that you understand GR. Other problems are really relevant to your education but are not dirrectly connected to the discussion in the text. Because of that you have to solve them from scratch and it will take you ages ...
If you are a beginner like me, you should read the math chapters and all appendices of Carroll's book plus chapter 4. Then you should read a real book for beginners with a lot of examples how to apply GR in real calculations and how to understand it. For that I recommend James Hartle's "Gravity: An Introduction to Einstein's General Relativity" and Bernard Schutz's "A first course in General Relativity". After that hopefully you will understand the rest of Carroll's book better. My experience was that often I had to read Hartle's book in order to understand and solve a problem in Carroll's book.
Book Description
Naber provides an elementary introduction to the geometrical methods and notions used in special and general relativity. Particular emphasis is placed on the ideas concerned with the structure of space-time and that play a role in the Penrose-Hawking singularity theorems. The author's primary purpose is to give a rigorous proof of the simplest of these theorems, by the one that is representative of the whole. He provides exercises and examples at the end of each chapter. No previous exposure either to relativity theory of differential geometry is required of the reader, as necessary concepts are developed when needed, though some restrictions ae imposed on the types of space considered.
Customer Reviews:
A Stimulating and Interesting Book.......2000-11-01
This book is concerned primarily with a geometrical and in places, a topological approach to spacetime, leading to a full proof of one of Hawking's singularity theorems.The first part introduces the geometry of Minkowski Spacetime as.. 'a 4-dimensional ral vector space on which is defined a nondegenerate symmetric bilinear form of index one'.Some mathematical maturity is required to attempt this book on one's own.Chapter two develops relativistic mechanics in quite an abstract way (certainly for a first encounter) and chapter three develops spacetimes from the point of view of maps between manifolds.This chapter ends with a statement of one of Hawking's theorems. Chapter four sets out a full rigorous proof. There are no hints/partial solutions for the exercises although there are some 'examples'. The first three chapters were enjoyable and I managed to do quite a lot of the exercises and problems.As someone who works entirely independently at this kind of thing for 'fun',I found chapter four very hard going.Having no-one to ask when stuck made it a bit frustrating.The book was very stimulating though and encouraged me to research other sources for similar material to fill in gaps in my mathematical knowledge.
Book Description
This mathematically rigorous treatment examines Zeeman's characterization of the causal automorphisms of Minkowski spacetime and the Penrose theorem concerning the apparent shape of a relativistically moving sphere. Other topics include the construction of a geometric theory of the electromagnetic field; the theory of spinors; and more. 1992 edition. 43 figures.
Customer Reviews:
Special Relativity for the graduate student........2007-01-18
This book is NOT for the pop science buff or the novice with little understanding of Special Relativity.
This book is designed for graduate level students in mathematics or physics who want a deeper understanding of Minkowski space. It presupposes a solid foundation in SR.
Having said this, the book is phenomenal. It brings out startling relationship between mathematics and physics explaining esoteric phenomena in SR.
For example:
1) The author shows how Lorentz transformations can be realized as fractional linear transformations of the Riemann sphere. By doing so we can use the full power of complex analysis to derive far reaching results. One property of such tranforms is that they map circles to circles thus explaining why an observer at rest who sees a circle ( say lit by lights ) will also see a circle, NOT ellipse from length contraction, when he moves relative to the circle.
2) Using a simple example ( scissors, chair and rubber band ) the author shows how a 360 degree rotation may not leave a system in the same state requiring the need of a new mathematical object ( spinor ) to describe this transformation.
3) The author clearly develops the mathematics of spinors. In fact this is the best introduction to spinors I have read. He develops the notion of spin vectors and realizes spinors as multi-linear functionals with inputs as spin vectors, their duals, their conjugate, and the conjugate duals. He then lays out the transformation properties of the spinors and shows that certain spinors have exactly the transformation properties needed to model particles with spin.
4) There is a great section on the relationship of SL (2,C) to the lorentz group. The author shows how Minkowski space can be represented by certain combinations of 2x2 complex matrices and shows how SL ( 2,C) can then operate on these. This operation is actually equivalent to a lorentz transformation thus giving a mapping between the two groups. He then shows that we can easily analyze SL (2,C) by breaking it down into irreducible representations ( which are known ) and that to each of these representations there exist a unique representation of the Lorentz group ( provided certain conditions are imposed ). If that condition is not met the representation leads to the all familiar 2-valued representation of the Lorentz group one hears so much about. Thus by studying SL ( 2,C ) which we know alot about we can represent the Lorentz group which is generally harder to study but of the most relevance in physics.
The books is filled with such insights and I would recommend it to anyone who wishes to understand particle physics or relativity.
Fascinating but not for the general reader.......2006-06-29
Starting with a quick overview of certain structures from linear algebra (bilinear forms) the book moves to discussing Minkowski spacetime. Unfortunately for many, the text is highly esoteric without even a single descriptive section that doesn't make use of some fairly advanced mathematics.
The level of mathematical maturity required is comparable to a fourth year mathematics major at any decent university. The relationship between the mathematics involved and the special theory of relativity is fully explained.
A solid introduction to special relativity for the earnest mathematician.
Book Description
First published in 1939, these three short novels secured the author’s reputation as a master of short fiction.
Customer Reviews:
Uncritcally Accepted Myth Is A Heavy Burden.......2006-09-03
In PALE HORSE, PALE RIDER, Katherine Anne Porter creates a world of two universes; one contains the semi-autobiographical life of Porter's alter-ego, Miranda, who is seen first as a very young girl in the first novella, "Old Mortality," then later as an adult woman in the third entrant, "Pale Horse, Pale Rider." The third novella is "Noon Wine," which is linked to the other two in its focus on a protagonist whose choice of life is severely restricted by the need to conform to society's restrictions. In these three long short stories, Porter elaborates on themes and character types that had previously appeared in her short stories. Porter most often examines the innermost recesses of the human mind that cause her protagonists to encounter spiritual and physical isolation even as they attempt to reach out to end their disconnection. These attempts at finding a soul mate are at first rebuffed, but in their continual probing for like-minded life mates, they achieve a near Faulknerian level of endurance even as they fail.
In "Old Mortality," Porter becomes young Miranda, who has heard of the almost mythical attributes and deeds of her aunt Amy. In Miranda's mind, her aunt is the apotheosis of all that she herself could be. Porter suggests that much of the accepted myth of the American south is similarly grounded on a no questions asked basis. Later as Miranda matures, her growth is seen as both physical and spiritual, but her sphere of newly-won perceptive vision comes at a heavy cost. She learns what happens when brute reality collides with delicate myth. In the second part, Miranda meets the husband-lover of Amy, whose appearance, actions, and words disrupt her connection to the past. This disconnect is deliberately shaded so that the reader is not quite sure whether Porter intends a discrediting of the past or merely a modifying of its accepted interpretation. In the third part, Miranda is further distanced from her idealized view of Amy when she talks to her cousin Eva, who has a definite grudge against Amy, the result of which leaves Miranda feeling that the immortality of myth is itself a myth. Stories and legends then must be measured against the mortality of those who lived them and those who told of them.
In "Noon Wine," Porter tells of a tragedy that begins in the past, assumes a myth that becomes self-sustaining, then encounters a reality that causes pain for all concerned. A Texas farmer named Thompson hires a roustabout Olaf Helton as a field hand. Helton works hard, well, and uncomplainingly. Thompson is more than pleased with Helton but is puzzled by Helton's harmonica, upon which he never plays more than one single tune. One day, a bounty hunter appears with a tale that disrupts Thompson's idyllic view of Helton. The bounty hunter, Homer Hatch, tells Thompson that Helton is an escapee from a lunatic asylum where he was committed for murder. Thompson ironically and unwittingly kills Hatch to protect Helton, an act for which he is tried and exonerated in court. The trial is so devastating to Thompson that he kills himself in depression. Both Thompson and Miranda are faced with disruptive reminders from the past, and the results cause pain to them and their families.
In "Pale Horse, Pale Rider," Porter brings back Miranda as an adult newspaperwoman during the First World War. She falls in love with Adam Barclay an army officer that brings to mind the ill-fated romance between Amy and Gabriel. Both lovers are stricken with the flu epidemic and Adam dies, leaving Miranda grief-ridden. The best Miranda can hope for is to reestablish her spiritual center in a world that is hostile to her very attempt. In all three novellas, Porter precisely captures the essence of those who face moments of crises when they begin to see that the ground underneath their feet is not as solid as once believed.
Beautiful and sad.......2005-06-08
I was unfamiliar with Katherine Anne Porter before reading this book and am now glad I picked it up. Porter has an amazing way with words and with characterization. With only a few sentences you feel as if you know the people in her stories. This book contains 3 short novels of which I think Pale Horse, Pale Rider is the best. Miranda is a young woman working at a newspaper during the last year of the first world war and of the tragic flu epidemic which killed millions. She goes from show to show every evening writing reviews for the paper, never sure why she bothers. She is alive, but not living. She dines and dances with a soldier she loves but knows the relationship is pointless as he is being shipped overseas in a few days. Then she contracts the flu and the end is a harrowing description of the effects of the disease.
Noon Wine is the second strongest in my opinion, detailing a small Texas family dealing with the aftermath of the father murdering a man. It may have been in self defense, but it might not have been, you are left with the question and the family is left with the guilt and shame.
Old Mortality tells of the sad life of Gabriel through the eyes of his two young nieces. The woman he loves puts him off for a lengthy time while flirting with other men. Finally, though she doesn't love him, marries him and dies 6 weeks later. Gabriel never completely recovers.
These novels are beautiful and sad, filled with complex characters trying to get through each day while figuring out why they are doing it.
Three gems in a jewel box.......2004-02-20
Katherine Anne Porter writes like a lapidary; each sentence is like a polished jewel, every word is perfect. "Pale Horse, Pale Rider" is a compilation of three novellas: "Old Mortality", seen through the eyes of Maria and Miranda Rhea, two children home for the weekend from their stultifying boarding school, is the tale of the family black sheep, a beautiful young cousin of easy virtue who continues to fascinate and frustrate her extended family long after her early death; "Noon Wine" shows us a Texas family torn apart by the guilt of the father who murdered a man in what may or may not have been self-defense, and "Pale Horse, Pale Rider" brings Miranda back again as a young woman disillusioned too many times, whose relationship with her lover Adam is threatened not only by his impending entry in to combat in World War One, but even more immediately by the specter of the great flu epidemic of 1918 that is sweeping through the population, leaving more death in its wake than any war ever fought. Porter writes sparingly, but she packs a world of emotion and feeling into every paragraph. This relatively short book is one of the giants of American fiction.
Short fiction the way it should be........2001-12-19
Katherine Anne Porter displays the human experience with turns of phrase that catch your breath. The awkward spinster cousin blooms "like a dry little plant set out in a gentle rain" when her critical mother leaves the room. A woman delirious with influenza falls into a sleep "that was not sleep but clear evening light in a small green wood..."
I thought Flannery O'Connor had ruined all other southern short fiction writers for me, but Porter meets O'Connor's deft character portraits, with their keen knowledge of mannerisms and their psychological depth, as well as O'Connor's ability to surprise the reader with moments of recognition: Miranda's girlhood experience feels like my girlhood experience, across generations and geography. Even Mr. Thompson's story feels like it could have happened in one's own family, like the story grandparents and great aunts and uncles half-tell and subtly refer to while the turkey roasts in the oven and everyone steals nuts off the pecan pie.
I agree with others who are astonished that this book is not part of the literary canon in the U.S. It is a stunning, gorgeous example of short fiction. With the impenetrable heaps of "literary fiction" from contemporary writers, marketed to ridiculous heights, I'm finding old gems like this one soothing to my constantly inundated reader's mind. Read it. And writers, take note.
A great work of art which deserves to be far more well-known.......2001-11-07
I first read this book about thirty-five years ago, as a young teenager. At the time, I didn't really know what it was about, lacking the historical background to understand World War I, and having no knowledge whatsoever of the widespread influenza epidemic of 1918. Nevertheless, the memory of Porter's shimmering prose somehow stayed with me, leading me to read the story once again, this time as an adult, and to finally comprehend it better. In fact, I have reread it several times over the years, always profoundly moved by the experience. Recently, after the events of September 11, 2001, I found myself thinking again of the story, and hauled it out of the library for still another reading. It is more beautiful and meaningful than ever. It has the powerful force of deeply felt, true experience.
Average customer rating:
- Memoir of a Technician at Los Alamos
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Rider of the Pale Horse: A Memoir of Los Alamos and Beyond
McAllister Hull , and
Amy Bianco
Manufacturer: University of New Mexico Press
ProductGroup: Book
Binding: Hardcover
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ASIN: 0826335535 |
Book Description
A scientist's recollection of his life as a junior member of the Manhattan Project, Rider of the Pale Horse recounts McAllister Hull's involvement in various nuclear-related enterprises during and after World War II. Fresh from a summer job working with explosives in the chemistry department of an ordnance plant, Hull was drafted in 1943, after his freshman year in college. Unlike other accounts written by scientists and historians of that era, Hull's narrative offers a realistic picture of the dangerous and messy job that GIs and civilian powder men were asked to do. Life in the workshops where bomb components were constructed was very different from life in the offices where they were designed.
Hull's description of his postwar work supporting the Bikini Atoll tests in the Pacific and the early concerns about the effects of a hydrogen bomb explosion illuminate the Dark Age of nuclear weaponry. John Hull's handsome illustrations show technicians and scientists at work and bring the story to life.
“Rider of the Pale Horse adds valuably to the total record of the most important technological development of the twentieth century.”—Richard Rhodes, author of The Making of the Atom Bomb
“Hull gives a bottom-up view as seen by a foot-soldier. His account of the grubby details of the project is illuminated by his later view of its historical repercussions and bears new witness to a turning-point of history.”—Freeman Dyson, author of Disturbing the Universe
A recollection of life in the workshops where nuclear bomb components were constructed during the Manhattan Project.
Customer Reviews:
Memoir of a Technician at Los Alamos.......2005-12-20
McAllister Hull had a distinguished career as a nuclear physicist and university administrator but in the fall of 1944 he arrived at Los Alamos to work as an explosives technician. His story of how that happened gives a view of the Manhattan project different from the well told histories of the eminent scientists and military leaders. Hull knew who Oppenheimer and Groves were but his role was a niche producing critical chemical explosive components at the more isolated S-site. For that matter he knew Klaus Fuchs with out any idea of the Soviet connection.
That Hull was a scientist to the depths of his psyche is apparent when he describes his thoughts while careening down a hill driving a truck with failed breaks: "I knew that if even a slight misalignment occurred, the truck would translate its forward momentum into a rotation about an axis across the road."
The book is tantalizing in its brevity as when he alludes to Edward Teller during the Oppenheimer hearings: "He helped a petty man, Lewis Strauss, to harass a man better than either of them." The memoir is a quick summary by someone who had a view of the birth of atomic weaponry from the nuts and bolts up through a thorough comprehension of the underlying theory. It adds to the understanding of how the great wealth of technical talent was put together in the remote New Mexican country side and managed to achieve the unimaginable.
Illustrations by the author's son round out the mid-century feel of the narrative and the bibliography has Hull's comments on nine of the more important accounts of the development of atomic and hydrogen bombs.
Average customer rating:
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Pale Horse, Pale Rider
Manufacturer: Signet
ProductGroup: Book
Binding: Mass Market Paperback
ASIN: B000HT77U0 |
Average customer rating:
- Riders of the Pale Horse, Bunn
- Good, but could have been better
- Great Christian message bad storyline
- This book changed my life!
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Riders of the Pale Horse
T. Davis Bunn
Manufacturer: Bethany House Publishers
ProductGroup: Book
Binding: Paperback
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ASIN: 0764227599 |
Book Description
"For more than one hundred years the West has failed to understand Islam" (U.S. State Department Official, 1992). This quote from the original edition of Riders of the Pale Horse introduces the story of two young Americans, a foreign-service officer and a mission volunteer who cross paths near the Afghanistan border on very different assignments and yet with a common goal: to stop nuclear materials from falling into terrorists' hands. High-stakes political and spiritual conflict keep readers on the edge of their seat in this suspenseful story from bestselling author T. Davis Bunn.
Customer Reviews:
Riders of the Pale Horse, Bunn.......2004-07-12
Riveting, exciting, intricate, surprising, and intrigueing ... all wrapped into a mystery set in the middle east and Russia that combines a chance near romance with political intrigue, warfare, Islamic extreme. Bunn takes a simple young man with a talent for connecting with people of varied backgrounds where they have the greatest need... healing, and weaves his story into the fabric of an intense struggle among many after the failure of the Iron curtain. This book is very interesting especially for the adventuresome among you. Bunn's description of people and places helps the readers imagination paint pictures on the mind of intense passions, danger, and love. An easy read and electrifying story. Could have been???
Mike R.
Good, but could have been better.......2003-09-28
I've read Bunn before, and this one could have done a little bit better. I thought the ending was way off. The book was very well written, and after the ending, it still had me looking for much, much more. That doesn't just dismiss Bunn as a bad author. Read either "Drummer in The Dark" or "The Great Divide" and you'll find that he is a very seasoned author, he loves The Lord, and it shows in his work.
Great Christian message bad storyline.......2003-04-15
This book has a great message but the storyline was horrible. I would suggest that you save your money. I'm sorry but you could not pay me enough money to read this book again. If your looking for a good read get The Summons by John Grisham that book was awesome. If your looking for action your looking in the wrong place. Maybe next time Mr.Bunn.
This book changed my life!.......1998-03-30
I was praying for an answer for a carreer change. Before I finished the first page of this book, God gave me the answer. I was one that I would have never have thought of or even accepted without divine intervention. Thank you Mr. Bunn for writing this book.
Product Description
Date is approximate (not printed in book).
Average customer rating:
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Pale Horse Rider
Derek Christenson
Manufacturer: Lulu.com
ProductGroup: Book
Binding: Paperback
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ASIN: 1430326891 |
Book Description
Dr. Jack McKnight had no idea that his longing for more excitement as a forensic pathologist would lead him to the Four Horse Ranch. After all, what could be more exciting than riding, roping and reaping?
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