Topics covered include matrix multiplication, row reduction, matrix inverse, orthogonality and computation. The self-teaching book is loaded with examples and graphics and provides a wide array of probing problems, accompanying solutions, and a glossary. Chapter 1: Introduction to Vectors; Chapter 2: Solving Linear Equations; Chapter 3: Vector Spaces and Subspaces; Chapter 4: Orthogonality; Chapter 5: Determinants; Chapter 6: Eigenvalues and Eigenvectors; Chapter 7: Linear Transformations; Chapter 8: Applications; Chapter 9: Numerical Linear Algebra; Chapter 10: Complex Vectors and Matrices; Solutions to Selected Exercises; Final Exam. Matrix Factorizations. Conceptual Questions for Review. Glossary: A Dictionary for Linear Algebra Index Teaching Codes Linear Algebra in a Nutshell.

    The book carefully presents the fundamentals of materials processing along with their relevant applications, so that the reader can clearly assess the capabilities, limitations, and potentials of manufacturing processes and their competitive aspects. Using real-world examples and well-wrought graphics, this book covers a multitude of topics, including the mechanical behavior of materials; the structure and manufacturing properties of metals; surfaces, dimensional characteristics, inspection, and quality assurance; metal-casting processes including heat treatment; bulk deformation processes; sheet-metal forming processes; material removal processes; polymers, reinforced plastics, rapid prototyping and rapid tooling; metal powders, ceramics, glasses, composites, and superconductors; joining and fastening processes; microelectronic and micromechanical devices; automation; computer-integrated systems; and product design. For manufacturing engineers, metallurgists, industrial designers, material handlers, product designers, and quality assurance managers.

    Barrow's Pi in the Sky is a profound -- and profoundly different -- exploration of the world of mathematics: where it comes from, what it is, and where it's going to take us if we follow it to the limit in our search for the ultimate meaning of the universe. Barrow begins by investigating whether math is a purely human invention inspired by our practical needs. Or is it something inherent in nature waiting to be discovered?In answering these questions, Barrow provides a bridge between the usually irreconcilable worlds of mathematics and theology. Along the way, he treats us to a history of counting all over the world, from Egyptian hieroglyphics to logical friction, from number mysticism to Marxist mathematics. And he introduces us to a host of peculiar individuals who have thought some of the deepest and strangest thoughts that human minds have ever thought, from Lao-Tse to Robert Pirsig, Charles Darwin, and Umberto Eco. Barrow thus provides the historical framework and the intellectual tools necessary to an understanding of some of today's weightiest mathematical concepts.

    Yet our brains devote tremendous computational power to figuring out the simplest details about spatial relationships. Going to the grocery store or finding our cell phone requires sleuthing and coordination across different sensory and motor domains. Making Space traces this mental detective work to explain how the brain creates our sense of location. But it goes further, to make the case that spatial processing permeates all our cognitive abilities, and that the brain's systems for thinking about space may be the systems of thought itself.Our senses measure energy in the form of light, sound, and pressure on the skin, and our brains evaluate these measurements to make inferences about objects and boundaries. Jennifer Groh describes how eyes detect electromagnetic radiation, how the brain can locate sounds by measuring differences of less than one one-thousandth of a second in how long they take to reach each ear, and how the ear's balance organs help us monitor body posture and movement. The brain synthesizes all this neural information so that we can navigate three-dimensional space.But the brain's work doesn't end there. Spatial representations do double duty in aiding memory and reasoning. This is why it is harder to remember how to get somewhere if someone else is driving, and why, if we set out to do something and forget what it was, returning to the place we started can jog our memory. In making space the brain uses powers we did not know we have.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    Communication is also emphasized, with a focus on how to document and communicate project developments, both within and outside of the team. In-depth coverage of planning, scheduling and cost management is also provided. The authors' goal is to provide many cases that are fun and elicit interesting debates, and this edition includes new end-of-chapter cases. In addition, all new up-to-date Real World Project Management vignettes are included at the beginning and within each chapter, giving you a taste of how project management is practically applied in the workplace. Key points of each chapter are highlighted in Critical Success Factor boxes, providing an overview of the main ideas covered within the chapter. End-of-chapter materials contain questions and Internet exercises that allow you to apply the concepts covered in the chapter. Sprinkled throughout each chapter are boxed questions designed to test your comprehension of key concepts. A trial version of Microsoft Office Project 2007 is included for student use on class projects.

    It covers areas such as fundamentals, logic, counting, relations and digraphs, trees, topics in graph theory, languages and finite-state machines, and groups and coding.

    This popular student textbook has been revised and updated in order to provide clear explanations of the subject matter, permitting more classroom time to be spent in problem solving, applications or explanations of the most difficult points.

    The fundamental questions are answered, leaving only the details to be filled in. In this book, Dr Rupert Sheldrake, one of the world's most innovative scientists, shows that science is being constricted by assumptions that have hardened into dogmas. The 'scientific worldview' has become a belief system. All reality is material or physical. The world is a machine, made up of dead matter. Nature is purposeless. Consciousness is nothing but the physical activity of the brain. Free will is an illusion. God exists only as an idea in human minds, imprisoned within our skulls. Sheldrake examines these dogmas scientifically, and shows persuasively that science would be better off without them: freer, more interesting, and more fun.In The God Delusion Richard Dawkins used science to bash God, but here Rupert Sheldrake shows that Dawkins' understanding of what science can do is old-fashioned and itself a delusion.

    Using Everett's unpublished papers (recently discovered in his son's basement) and dozens of interviews with his friends, colleagues, and surviving family members, Byrne paints, for the general reader, a detailed portrait of the genius who invented an astonishing way of describing our complex universe from the inside. Everett's mathematical model (called the "universal wave function") treats all possible events as "equally real," and concludes that countless copies of every person and thing exist in all possible configurations spread over an infinity of universes: many worlds. Afflicted by depression and addictions, Everett strove to bring rational order to the professional realms in which he played historically significant roles. In addition to his famous interpretation of quantum mechanics, Everett wrote a classic paper in game theory; created computer algorithms that revolutionized military operations research; and performed pioneering work in artificial intelligence for top secret government projects. He wrote the original software for targeting cities in a nuclear hot war; and he was one of the first scientists to recognize the danger of nuclear winter. As a Cold Warrior, he designed logical systems that modeled "rational" human and machine behaviors, and yet he was largely oblivious to the emotional damage his irrational personal behavior inflicted upon his family, lovers, and business partners. He died young, but left behind a fascinating record of his life, including correspondence with such philosophically inclined physicists as Niels Bohr, Norbert Wiener, and John Wheeler. These remarkable letters illuminate the long and often bitter struggle to explain the paradox of measurement at the heart of quantum physics. In recent years, Everett's solution to this mysterious problem-the existence of a universe of universes-has gained considerable traction in scientific circles, not as science fiction, but as an explanation of physical reality.

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    Modifying Copernicus's sun-centered model of the universe, Kepler's 1619 work went on to establish laws of planetary motion, forming the basis for Newton's discoveries some 60 years later. As part of our On the Shoulders of Giants series, this translation of the original edition of Kepler's monumental essay includes an insightful biography and a highly accessible summary putting into context the significance of Harmony of the World.

    Although deeply influenced by Einstein, he was also, more unusually for a scientist, inspired by mysticism. Indeed, in the 1970s and 1980s he made contact with both J. Krishnamurti and the Dalai Lama whose teachings helped shape his work. In both science and philosophy, Bohm's main concern was with understanding the nature of reality in general and of consciousness in particular. In this classic work he develops a theory of quantum physics which treats the totality of existence as an unbroken whole. Writing clearly and without technical jargon, he makes complex ideas accessible to anyone interested in the nature of reality.

    "Fake Science 101" is here to tackle those questions that are too tough to really answer. Like why is the sky blue? Where did the dinosaurs go? And what's with Einstein's hair?If you love Fake Science on the World Wide Web, you will love it even more on paper.* This cutting-edge volume shares the freshest discoveries to date made by the Fake Science lab--and completely ignores the sneers from the scientific community over its lack of research. "Fake Science 101" is your go-to textbook for when the facts are just too confusing.*Unless you are a tree.

    In the 14 billion years since, scientists have pointed their telescopes upward, peering outward in space and backward in time, developing and refining theories to explain the weird and wonderful phenomena they observed.Through these observations, we now understand concepts like the size of the universe (still expanding), the distance to the next-nearest star from earth (Alpha Centauri, 26 trillion miles) and what drives the formation of elements (nuclear fusion), planets and galaxies (gravity), and black holes (gravitational collapse). But are these cosmological questions definitively answered or is there more to discover?Oxford University astrophysicist and popular YouTube personality Dr. Becky Smethurst presents everything you need to know about the universe in 10 accessible and engaging lessons.In Space at the Speed of Light: The History of 14 Billion Years for People Short on Time, she guides you through fundamental questions, both answered and unanswered, posed by space scientists. Why does gravity matter? How do we know the big bang happened? What is dark matter? Do aliens exist? Why is the sky dark at night? If you have ever looked up at night and wondered how it all works, you will find answers - and many more questions - in this pocket-sized tour of the universe!