Mathematical Physics Books

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Elegant Universe: Superstrings, Hidden Dimensions and the Quest for the Ultimate Theory

Brian Greene

Elegant Universe: Superstrings, Hidden Dimensions and the Quest for the Ultimate Theory Brian Greene Amazon Price: $26.85
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Customer Reviews:
Total reviews: 506 Average rating: 4.5 of 5

Quantum Foam and Hidden Dimensions 4 out of 5 stars.
0 of 0 people found this review helpful.

There were parts of this book that were difficult to grasp, but what I liked about it was it's explanation of quantum foam and hidden dimensions. Quantum foam is a general concept in physicis that I had heard of, but didn't really understand. The author explained the meaning of it in a clear and succinct way, and showed why it is such a stumbling block for a unified theory. Also, his description of hidden dimensions made that concept much clearer for me. A good book if you are interested in physics and cosmology.

Editorial Review:

In a rare blend of scientific insight and writing as elegant as the theories it explains, Brian Greene, one of the world's leading string theorists, peels away the layers of mystery surrounding string theory to reveal a universe that consists of eleven dimensions where all matter is generated by the vibrations of microscopically tiny loops of energy. Greene uses everything from an amusement park ride to ants on a garden hose to explain the beautiful yet bizarre realities that modern physics is unveiling. Dazzling in its brilliance, unprecedented in its ability to both illuminate and entertain, The Elegant Universe is a tour de force of scientific writing - a delightful, lucid voyage through modern physics that brings us closer to understanding how the universe works.

A Student's Guide to Maxwell's Equations

Daniel Fleisch

A Student's Guide to Maxwell's Equations Daniel Fleisch Amazon Price: $26.09
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By: Cambridge University Press
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Customer Reviews:
Total reviews: 19 Average rating: 5.0 of 5

Kindle Version 5 out of 5 stars.
1 of 1 people found this review helpful.

I can only echo the praise that others have submitted regarding "A Student's Guide to Maxwell's Equations." My comments are targeted at how it looks on the Kindle Reader.

The text rendering seems crisp and readable throughout, though the imaging of the equations are sometimes too small that the subscripts are difficult to read. (Locations 126-31) The text can be scaled nicely through six choices, but the images of the equations do not.

Tables lack contrast. (Locations 179-182)

The first of many boxed question marks, [?], begin at locations 232-40 and continue. The author presents a problem at Locations 440-50 that reads somewhat like this, at the end of the first sentence, "... extends from spherical angle [?]1 to [?]2 and from [?]1 to [?]2." Obviously the Kindle reader cannot render the element and simply shows [?].

I suspect a student, not familiar with the subject, would favor the old-fashioned "physical" medium to the Kindle medium.

Editorial Review:

Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere-Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

The Road to Reality: A Complete Guide to the Laws of the Universe

Roger Penrose

The Road to Reality: A Complete Guide to the Laws of the Universe Roger Penrose Amazon Price: $16.50
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By: Vintage
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Customer Reviews:
Total reviews: 161 Average rating: 4.0 of 5

Attempts the impossible 2 out of 5 stars.
2 of 2 people found this review helpful.

It is not possible to express the ideas of modern physics without using mathematics very different from what one studies in high school. But a popular physics book can hardly assume more than a high school level of math. Therefore popular physics books are impossible.

Penrose's 'The Road to Reality' is a demonstration of this proposition. Penrose must be congratulated for facing the problem head on, not shying away from the formulae and trying to teach his readers all the mathematics needed. Penrose is more capable than most for such an undertaking, and often he comes up with clever, intuitive ways of explaining difficult concepts. But ultimately the beautifully-crafted intuition collapses due to the lack of a supporting structure of necessary technical details and hard proofs and the reader is left holding fuzzy ideas which he cannot independently apply.

The book would be a great way for a graduate student in physics or mathematics to see the big picture. Others would do well to stick either with less ambitious popularizations or to go straight to the textbooks. For the former, my recommendation would be Penrose's own The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics (Popular Science) while for the latter there is no better place to begin than Singer and Thorpe's Lecture Notes on Elementary Topology and Geometry (Undergraduate Texts in Mathematics) and Needham's Visual Complex Analysis.

Editorial Review:

Roger Penrose, one of the most accomplished scientists of our time, presents the only comprehensive and comprehensible account of the physics of the universe. From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

The Complete Idiot's Guide to String Theory (Complete Idiot's Guide to)

George Musser

The Complete Idiot's Guide to String Theory (Complete Idiot's Guide to) George Musser Amazon Price: $11.53
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Customer Reviews:
Total reviews: 6 Average rating: 5.0 of 5

Still An Idiot 5 out of 5 stars.
7 of 9 people found this review helpful.

I am still basically an idiot on this subject, but now with a little enlightenment. I have been out of school for some30++ years and this
stuff is a bit out there for me. But, it is written clearly and I am
very happy with the read.

wide ranging 5 out of 5 stars.
7 of 8 people found this review helpful.

A chunk of the book covers relativity.
Quantum mechanics is presented with its incompatibilities.
With these formalities over with, string theory is discussed.

There are some difficulties here.
Profound conclusions are presented without much background.
The conflicting view points get tiresome.
There is not much of a climax at the end.
But these problems are inherent to the subject matter.

The digressions and historical bits are always interesting.
The endless analogies to everyday life are better than you would expect.
There is a joy about the audacity of the subject which comes through.

Editorial Review:

Everything is connected…

We’re living in the midst of a scientific revolution that’s captured the general public’s attention and imagination. The aim of this new revolution is to develop a “theory of everything”—a set of laws of physics that will explain all that can be explained, ranging from the tiniest subatomic particle to the universe as a whole. Here, readers will learn the ideas behind the theories, and their effects upon our world, our civilization, and ourselves.

Linked: The New Science of Networks

Albert-László Barabási

Linked: The New Science of Networks Albert-László Barabási List Price: $26.00
By: Basic Books
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Customer Reviews:
Total reviews: 95 Average rating: 4.0 of 5

Editorial Review:

In the 1980's, James Gleick's Chaos introduced the world to complexity. Now, Albert-László Barabási's Linked reveals the next major scientific leap: the study of networks. We've long suspected that we live in a small world, where everything is connected to everything else. Indeed, networks are pervasive--from the human brain to the Internet to the economy to our group of friends. These linkages, it turns out, aren't random. All networks, to the great surprise of scientists, have an underlying order and follow simple laws. Understanding the structure and behavior of these networks will help us do some amazing things, from designing the optimal organization of a firm to stopping a disease outbreak before it spreads catastrophically.In Linked, Barabási, a physicist whose work has revolutionized the study of networks, traces the development of this rapidly unfolding science and introduces us to the scientists carrying out this pioneering work. These "new cartographers" are mapping networks in a wide range of scientific disciplines, proving that social networks, corporations, and cells are more similar than they are different, and providing important new insights into the interconnected world around us. This knowledge, says Barabási, can shed light on the robustness of the Internet, the spread of fads and viruses, even the future of democracy. Engaging and authoritative, Linked provides an exciting preview of the next century in science, guaranteed to be transformed by these amazing discoveries.From Linked:This book has a simple message: think networks. It is about how networks emerge, what they look like, and how they evolve. It aims to develop a web-based view of nature, society, and technology, providing a unified framework to better understand issues ranging from the vulnerability of the Internet to the spread of diseases. Networks are present everywhere. All we need is an eye for them...We will see the challenges doctors face when they attempt to cure a disease by focusing on a single molecule or gene, disregarding the complex interconnected nature of the living matter. We will see that hackers are not alone in attacking networks: we all play Goliath, firing shots at a fragile ecological network that, without further support, could soon replicate our worst nightmares by turning us into an isolated group of species...Linked is meant to be an eye-opening trip that challenges you to walk across disciplines by stepping out of the box of reductionism. It is an invitation to explore link by link the next scientific revolution: the new science of networks.

SYNC: The Emerging Science of Spontaneous Order

Steven H. Strogatz

SYNC: The Emerging Science of Spontaneous Order Steven H. Strogatz Amazon Price: $16.47
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Customer Reviews:
Total reviews: 56 Average rating: 4.5 of 5

Editorial Review:

t the heart of the universe is a steady, insistent beat, the sound of cycles in sync. Along the tidal rivers of Malaysia, thousands of fireflies congregate and flash in unison; the moon spins in perfect resonance with its orbit around the earth; our hearts depend on the synchronous firing of ten thousand pacemaker cells. While the forces that synchronize the flashing of fireflies may seem to have nothing to do with our heart cells, there is in fact a deep connection. Synchrony is a science in its infancy, and Strogatz is a pioneer in this new frontier in which mathematicians and physicists attempt to pinpoint just how spontaneous order emerges from chaos. From underground caves in Texas where a French scientist spent six months alone tracking his sleep-wake cycle, to the home of a Dutch physicist who in 1665 discovered two of his pendulum clocks swinging in perfect time, this fascinating book spans disciplines, continents, and centuries. Engagingly written for readers of books such as Chaos and The Elegant Universe, Sync is a tour-de-force of nonfiction writing.

My Life as a Quant: Reflections on Physics and Finance

Emanuel Derman

My Life as a Quant: Reflections on Physics and Finance Emanuel Derman Amazon Price: $17.47
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Customer Reviews:
Total reviews: 69 Average rating: 4.0 of 5

Boring and repetetive 2 out of 5 stars.
2 of 4 people found this review helpful.

Very (very) shallow on technical content. Bizarre and boring anecdotes about the politics of the big investment banks. Detailed stories about uninteresting aspects of the author's life. I kept looking for some real beef, but gave up at some point.

Learn: What is a quant, and what's it like to be one, and why would you? 5 out of 5 stars.
1 of 2 people found this review helpful.

I enjoyed this book very much. It's like a memoir, but focuses on his professional life. He talks about his training in physics, and how hard it is to get satisfactory (to him) employment. He switched to being a quantitative analyst on Wall Street. He talks a lot about what that really means, how the quants fit into the structure of Wall Street, and he even gets into some of the technical detail (I would have liked a bit more of that). It's well written and fun.

Editorial Review:

In My Life as a Quant, Emanuel Derman relives his exciting journey as one of the first high-energy particle physicists to migrate to Wall Street. Page by page, Derman details his adventures in this field—analyzing the incompatible personas of traders and quants, and discussing the dissimilar nature of knowledge in physics and finance. Throughout this tale, he also reflects on the appropriate way to apply the refined methods of physics to the hurly-burly world of markets.

String Theory Demystified

David McMahon

String Theory Demystified David McMahon Amazon Price: $14.93
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Total reviews: 4 Average rating: 3.0 of 5

Editorial Review:

UNRAVEL the mystery of STRING THEORY

Trying to understand string theory but ending up with your brain in knots? Here's your lifeline! This straightforward guide explains the fundamental principles behind this cutting-edge concept.

String Theory Demystified elucidates the goal of the theory--to combine general relativity and quantum theory into a single, unified framework. You'll learn about classical strings, conformal field theory, quantization, compactification, and T duality. The book covers supersymmetry and superstrings, D-branes, the holographic principle, and cosmology. Hundreds of examples and illustrations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning.

This fast and easy guide offers:

  • Numerous figures to illustrate key concepts
  • Sample problems with worked solutions
  • Coverage of equations of motion, the energy-momentum tensor, and conserved currents
  • A discussion of the Randall-Sundrum model
  • A time-saving approach to performing better on an exam or at work

Simple enough for a beginner, but challenging enough for an advanced student, String Theory Demystified is your key to comprehending this theory of everything.

Everything and More: A Compact History of Infinity (Great Discoveries)

David Foster Wallace

Everything and More: A Compact History of Infinity (Great Discoveries) David Foster Wallace Amazon Price: $10.17
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Customer Reviews:
Total reviews: 47 Average rating: 3.0 of 5

Everything and Less. 1 out of 5 stars.
5 of 13 people found this review helpful.

I (and many of my professional scientist colleagues) thought Gleick's "Chaos" was one of the worst books ever written on math - so confusing and uninstructive it called the whole subject into question. So it is not surprising Gleick praises this book: it is worse than "Chaos". The grammar, punctuation, and style are so tangled I found myself rereading passage after passage to sort out Wallace's meaning. He uses dozens of obscure, undefined, unusual, and unobvious abbreviations, with the index to them lost in the text, and no index at all to the book as a whole, which is very negligent for a technical work. There is no organization into chapters, just numbered sections which do not coincide with any natural divisions in the material. "Stream-of-consciousness" writing may do for Joyce (though he was not known for lucidity), but it is hopeless for presenting technical material. Many of Wallace's explanations explain nothing: "Fourier Series is vital to understanding transfinite math", he writes, and then blows the subject off with a jest (p 115). And there are plain errors: "when n<0, (p+q)^n becomes the Binomial Theorem" (p 117). Finally, the subject-matter itself is questionable: modern mathematicians still regard infinity as an intractable concept that leads to preposterous contradictions, as Archimedes and Galileo found and as Wallace's own examples demonstrate. "Is the area of an infinitely-long and wide sheet of paper infinity squared?" "Are some infinities bigger than others?" If questions like these have cogent answers at all, it is going to take someone more coherent than Wallace to explain them.

Editorial Review:

DAVID FOSTER WALLACE brings his intellectual ambition and bravura style to the story of how mathematicians have struggled to understand the infinite, from the ancient Greeks to the nineteenth-century mathematical genius Georg Cantor's counterintuitive discovery that there is more than one kind of infinity.

Star Maps for Beginners: 50th Anniversary Edition

I.M. Levitt, Roy K. Marshall

Star Maps for Beginners: 50th Anniversary Edition I.M. Levitt, Roy K. Marshall Amazon Price: $9.60
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Customer Reviews:
Total reviews: 8 Average rating: 4.0 of 5

Editorial Review:

Designed with the beginner in mind and useful to anyone interested in astronomy. Star Maps for Beginners is the classic guide to viewing and understanding the heavens. Its superb maps -- drawn in the shape of two crossed ellipses -- provide the reader with a unique perspective on the sky and have been widely acknowledged as the easiest system yet devised for locating any constellation at any time of the year.

Now revised for the 1990s, with updated planet charts and a new section on spotting meteor showers. Star Maps for Beginners includes:

12 complete maps -- one for each month -- showing the positions of the constellations viewed from every direction

a synoptic table that shows how to choose the proper map for use at any time special tables that give approximate positions of the planets for the years 1992 through 1997

the most up-to-date overview of the solar system available today the latest facts about each of the planets -- orbit, size, atmosphere, internal structure, climate, and terrain

a full chapter on the history and development of the constellations, and the ancient legends and mythological lore surrounding them

a special section on meteors -- how they originate and when and where to spot them.

Initially published in 1942 and now celebrating its 50th anniversary, Star Maps for Beginners has sold more than 450,000 copies.


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