"More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems."

    Instead, ants decide what to do based on the rate, rhythm, and pattern of individual encounters and interactions--resulting in a dynamic network that coordinates the functions of the colony. Ant Encounters provides a revealing and accessible look into ant behavior from this complex systems perspective.Focusing on the moment-to-moment behavior of ant colonies, Deborah Gordon investigates the role of interaction networks in regulating colony behavior and relations among ant colonies. She shows how ant behavior within and between colonies arises from local interactions of individuals, and how interaction networks develop as a colony grows older and larger. The more rapidly ants react to their encounters, the more sensitively the entire colony responds to changing conditions. Gordon explores whether such reactive networks help a colony to survive and reproduce, how natural selection shapes colony networks, and how these structures compare to other analogous complex systems. Ant Encounters sheds light on the organizational behavior, ecology, and evolution of these diverse and ubiquitous social insects.

    Which forces will prevail in this race to Omega? How will we cope with the awesome dangers and opportunities we must face? In this thoroughly rewritten, newly illustrated edition of his classic work 'The White Hole In Time', Russell shows how this unprecedented acceleration of our daily lives has come about, and how to find inner tranquility during these turbulent times. Here is an extraordinary and innovative vision of humanity, one that integrates science and technology with humanity's eternal quest for harmony and inner peace.

    It is known for scientific accuracy and currency; a modular presentation that helps students to focus on the main concepts; and art that teaches better than any other book. The fifth edition builds upon this success with new features that help students synthesize and connect important topics such as Connecting the Concepts exercises and Key Concepts quizzes; and a variety of tools to help instructors enliven their lectures like our exclusive video clips from Discovery Channel.

    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

    Data is nuanced, and "a really excellent skeptic puts the term 'science' into 'data science.'" The big data revolution shouldn't be dismissed as hype, but current data science tools and models shouldn't be hailed as the end-all-be-all, either."

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    This well-established two-book course is designed for class teaching and private study leading to GCSE examinations in mathematics and further Mathematics at A Level.

    Our biology predisposes us to see and understand the world in different ways, not always reason and the careful consideration of facts. These predispositions are in turn responsible for a significant portion of the political and ideological conflict that marks human history.With verve and wit, renowned social scientists John Hibbing, Kevin Smith, and John Alford--pioneers in the field of biopolitics--present overwhelming evidence that people differ politically not just because they grew up in different cultures or were presented with different information. Despite the oft-heard longing for consensus, unity, and peace, the universal rift between conservatives and liberals endures because people have diverse psychological, physiological, and genetic traits. These biological differences influence much of what makes people who they are, including their orientations to politics.Political disputes typically spring from the assumption that those who do not agree with us are shallow, misguided, uninformed, and ignorant. Predisposed suggests instead that political opponents simply experience, process, and respond to the world differently. It follows, then, that the key to getting along politically is not the ability of one side to persuade the other side to see the error of its ways but rather the ability of each side to see that the other is different, not just politically, but physically. Predisposed will change the way you think about politics and partisan conflict.As a bonus, the book includes a "Left/Right 20 Questions" game to test whether your predispositions lean liberal or conservative.

    Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.

    Written for both the casual reader and the science buff hungry for new information, The Vision Revolution is a resource that dispels commonly believed perceptions about sight and offers answers drawn from the field’s most recent research.Changizi focuses on four “why” questions:1. Why do we see in color?2. Why do our eyes face forward?3. Why do we see illusions?4. Why does reading come so naturally to us?Why Do We See in Color?It was commonly believed that color vision evolved to help our primitive ancestors identify ripe fruit. Changizi says we should look closer to home: ourselves. Human color vision evolved to give us greater insights into the mental states and health of other people. People who can see color changes in skin have an advantage over their color-blind counterparts; they can see when people are blushing with embarrassment, purple-faced with exertion or the reddening of rashes. Changizi’s research reveals that the cones in our eyes that allow us to see color are exquisitely designed exactly for seeing color changes in the skin. And it’s no coincidence that the primates with color vision are the ones with bare spots on their faces and other body parts; Changizi shows that the development of color vision in higher primates closely parallels the loss of facial hair, culminating in the near hairlessness and highly developed color vision of humans.Why Do Our Eyes Face Forward?Forward-facing eyes set us apart from most mammals, and there is much dispute as to why we have them. While some speculate that we evolved this feature to give us depth perception available through stereo vision, this type of vision only allows us to see short distances, and we already have other mechanisms that help us to estimate distance. Changizi’s research shows that with two forward-facing eyes, primates and humans have an x-ray ability. Specifically, we’re able to see through the cluttered leaves of the forest environment in which we evolved. This feature helps primates see their targets in a crowded, encroached environment. To see how this works, hold a finger in front of your eyes. You’ll find that you’re able to look “through” it, at what is beyond your finger. One of the most amazing feats of two forward-facing eyes? Our views aren’t blocked by our noses, beaks, etc.Why Do We See Illusions?We evolved to see moving objects, not where they are, but where they are going to be. Without this ability, we couldn’t catch a ball because the brain’s ability to process visual information isn’t fast enough to allow us to put our hands in the right place to intersect for a rapidly approaching baseball. “If our brains simply created a perception of the way the world was at the time light hit the eye, then by the time that perception was elicited—which takes about a tenth of a second for the brain to do—time would have marched on, and the perception would be of the recent past,” Changizi explains. Simply put, illusions occur when our brain is tricked into thinking that a stationary two-dimensional picture has an element that is moving. Our brains project the “moving” element into the future and, as a result, we don’t see what’s on the page, but what our brain thinks will be the case a fraction of a second into the future.Why Does Reading Come So Naturally to Us?We can read faster than we can hear, which is odd, considering that reading is relatively recent, and we’ve evolved to process speech for millions of years. Changizi’s research reveals that language has been carefully designed to tap in to elements of the visual processing center that have evolved for tens of millions of years. Visual signs of all languages are shaped like objects in nature, Changizi says, because we have evolved to see nature easily. “People have noticed letters in nature for some time, and there are artists who have a spent a lot of time photographing Latin letters in natural scenes or on butterfly wings,” Changizi says. “For example, if you look at an upper corner of the room you are in, you will see three contours meeting at a point, making a shape close to that of a ‘Y.’“ The Vision Revolution expands upon how our ancestors found the shapes of Latin letters and delves into how visual signs can have similar shapes even though their inspirations come from very different environments.In addition to these four areas, The Vision Revolution explores other phenomena such as cyclopses, peeking and many more you hadn’t even thought to wonder about. Changizi shows how deeply involved these evolutionary aspects of our vision are in why we see the way we do—and what the future holds for us.“…to understand how culture interacts with vision, one must understand not just the eye’s design, but the actual mechanisms we have evolved,” Changizi says, “for culture can tap in to both the designed responses of our brains and the unintended responses.”The Vision Revolution is a book that finally gives attention to what before has been largely neglected by other works on human vision—a book that looks at the “why.”

    With the assistance of a co-author, this popular student textbook has now been updated to include techniques such as membrane chromatography, aqueous phase partitioning, engineering recombinant proteins for purification and due to the rapid advances in bioinformatics/proteomics a discussion of the analysis of complex protein mixtures by 2D-electrophoresis and RPHPLC prior to sequencing by mass spectroscopy. Written with the student firmly in mind, no previous knowledge of biochemistry, and little of chemistry, is assumed. It is intended to provide an introduction to enzymology, and a balanced account of all the various theoretical and applied aspects of the subject which are likely to be included in a course.

    Now there is a clear trail to the answer, and it leads through the dense jungle of quantum physics, Zen, and subjective experience, and arrives at an unexpected destination. In this tour-de-force of scientific investigation, Evan Harris Walker shows how the operation of bizarre yet actual properties of elementary particles support a new and exciting theory of reality, based on the principles of quantum physics-a theory that answers questions such as "What is the nature of consciousness, of will?" "What is the source of material reality?" and "What is God?"

    Too often, overwhelmed by anatomical detail, students miss out on the functional beauty of the nervous system and its relevance to clinical practice.

    Not just a collection of anecdotes but a fair, reasoned appraisal of eccentric theory, it is unique in recognizing the scientific, philosophic, and sociological-psychological implications of the wave of pseudoscientific theories which periodically besets the world.To this second revised edition of a work formerly titled In the Name of Science, Martin Gardner has added new, up-to-date material to an already impressive account of hundreds of systematized vagaries. Here you will find discussions of hollow-earth fanatics like Symmes; Velikovsky and wandering planets; Hörbiger, Bellamy, and the theory of multiple moons; Charles Fort and the Fortean Society; dowsing and the other strange methods for finding water, ores, and oil. Also covered are such topics as naturopathy, iridiagnosis, zone therapy, food fads; Wilhelm Reich and orgone sex energy; L. Ron Hubbard and Dianetics; A. Korzybski and General Semantics. A new examination of Bridey Murphy is included in this edition, along with a new section on bibliographic reference material.