From Brian Greene, one of the world’s leading physicists and author the Pulitzer Prize finalist The Elegant Universe, comes a grand tour of the universe that makes us look at reality in a completely different way.

Space and time form the very fabric of the cosmos. Yet they remain among the most mysterious of concepts. Is space an entity? Why does time have a direction? Could the universe exist without space and time? Can we travel to the past? Greene has set himself a daunting task: to explain non-intuitive, mathematical concepts like String Theory, the Heisenberg Uncertainty Principle, and Inflationary Cosmology with analogies drawn from common experience. From Newton’s unchanging realm in which space and time are absolute, to Einstein’s fluid conception of spacetime, to quantum mechanics’ entangled arena where vastly distant objects can instantaneously coordinate their behavior, Greene takes us all, regardless of our scientific backgrounds, on an irresistible and revelatory journey to the new layers of reality that modern physics has discovered lying just beneath the surface of our everyday world.

As a boy, Brian Greene read Albert Camus' The Myth of Sisyphus and was transformed. Camus, in Greene's paraphrase, insisted that the hero triumphs "by relinquishing everything beyond immediate experience." After wrestling with this idea, however, Greene rejected Camus and realized that his true idols were physicists; scientists who struggled "to assess life and to experience the universe at all possible levels, not just those that happened to be accessible to our frail human senses." His driving question in The Fabric of the Cosmos, then, is fundamental: "What is reality?" Over sixteen chapters, he traces the evolving human understanding of the substrate of the universe, from classical physics to ten-dimensional M-Theory.

Assuming an audience of non-specialists, Greene has set himself a daunting task: to explain non-intuitive, mathematical concepts like String Theory, the Heisenberg Uncertainty Principle, and Inflationary Cosmology with analogies drawn from common experience. For the most part, he succeeds. His language reflects a deep passion for science and a gift for translating concepts into poetic images. When explaining, for example, the inability to see the higher dimensions inherent in string theory, Greene writes: "We don't see them because of the way we see…like an ant walking along a lily pad…we could be floating within a grand, expansive, higher-dimensional space."

For Greene, Rhodes Scholar and professor of physics and mathematics at Columbia University, speculative science is not always as thorough and successful. His discussion of teleportation, for example, introduces and then quickly tables a valuable philosophical probing of identity. The paradoxes of time travel, however, are treated with greater depth, and his vision of life in a three-brane universe is compelling and--to use his description for quantum reality--"weird."

In the final pages Greene turns from science fiction back to the fringes of science fact, and he returns with rigor to frame discoveries likely to be made in the coming decades. "We are, most definitely, still wandering in the jungle," he concludes. Thanks to Greene, though, some of the underbrush has been cleared. --Patrick O'Kelley

The Fabric of the Cosmos: Space, Time, and the Texture of Reality
The Fabric of the Cosmos: Space, Time, and the Texture of Reality
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Elementary & Intermediate Algebra by Donald Hutchison (Hardcover - McGraw-Hill Science Engineering)

Elementary Statistics by Larson (PACKAGE - Prentice Hall)

Elementary and Middle School Mathematics: Teaching Developmentally (7th Edition) "It is fun to figure out the puzzle of how children go about making sense of mathematics and then how to help teachers help kids." John A. Van de Walle, Late of Virginia Commonwealth University This is the philosophy behind Elementary and Middle School Mathematics: Teaching Developmentally. John A. Van de Walle wrote this book to help students understand mathematics and become confident in their ability to teach the subject to children in kindergarten through eighth grade. Although he could not have foreseen the changes in mathematics teaching over the last three decades, he was at the forefront of the movement towards a constructivist view of teaching, or teaching developmentally. Constructivism says that children construct their own knowledge. They are not blank slates waiting to absorb whatever the teacher tells them. Teachers must understand both mathematics itself and how students learn mathematics in order to teach it effectively. Learning through problem solving is another major theme of this book. Students solve problems not just to apply mathematics, but also to learn new mathematics.Effective problems will take into account where students are, the problematic or engaging aspect of the problem must be due to the mathematics that the students are to learn and not be diluted by non-mathematical activities such as cutting or pasting, and the problem must require justifications and explanations for answers and methods. Learning then becomes an outcome of the problem solving process. The book also addresses in more detail than any other book on the market the effect that the trends of standards-based education, increased pressure to test, and increased teacher accountability have had on teaching mathematics. He addresses the 2000 NCTM Standards in depth, in Chapter 1 on Teaching Mathematics in the Era of the NCTM Standards, through the NCTM icon that appears in the margins throughout the text, and in two appendices in the back of the book. Chapter 5 on Building Assessment into Instruction has also been heavily revised to focus on increased testing pressure, creating more explicit links between objectives and assessment, and including assessments for students with special needs.Elementary and Middle School Mathematics: Teaching Developmentally is a book for doing math today--for both students who want to become teachers, and the students they will eventually teach. New To This Edition: NEW! Revises Chapter 5 on assessment--Discusses increased testing pressure and accountability, adds more information on equitable assessments, creates more explicit links between objectives and assessment, and includes assessments for students with special needs. NEW! Updates the Literature Connections feature to remove all out of print children's literature and include more non-fiction, poetry, and other types of readings. NEW! Weaves the Focal Points throughout the chapters as well as links them with the Big Ideas feature--Focal Points have also been added to the Appendix. NEW! Includes expanded coverage of working with diverse learners. NEW! Gives greater emphasis on dealing with math anxiety.

Introduction to Linear Algebra With Applications by James Defranza (Hardcover - McGraw-Hill Science

Calculus With Analytic Geometry by George Finlay Simmons (Hardcover - Subsequent)

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