This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

    This concept is at the root of the computational worldview, which basically says that very complex systems — the world we live in — have their beginnings in simple mathematical equations. We've lately come to understand that such an algorithm is only the start of a never-ending story — the real action occurs in the unfolding consequences of the rules. The chip-in-a-box computers so popular in our time have acted as a kind of microscope, letting us see into the secret machinery of the world. In Lifebox, Rucker uses whimsical drawings, fables, and humor to demonstrate that everything is a computation — that thoughts, computations, and physical processes are all the same. Rucker discusses the linguistic and computational advances that make this kind of "digital philosophy" possible, and explains how, like every great new principle, the computational world view contains the seeds of a next step.

    Maybe it's made of silicon! Maybe it has wheels! Or maybe it doesn't. In The Equations of Life, biologist Charles S. Cockell makes the forceful argument that the laws of physics narrowly constrain how life can evolve, making evolution's outcomes predictable. If we were to find on a distant planet something very much like a lady bug eating something like an aphid, we shouldn't be surprised. The forms of life are guided by a limited set of rules, and as a result, there is a narrow set of solutions to the challenges of existence.A remarkable scientific contribution breathing new life into Darwin's theory of evolution, The Equations of Life makes a radical argument about what life can -- and can't -- be.

     Offers extensively updated coverage, new problem sets, and chapter-ending material to enhance the book’s relevance to today’s engineers and scientists. Includes new problem sets demonstrating updated applications to engineering as well as biological, physical, and computer science. Emphasizes key ideas as well as the risks and hazards associated with practical application of the material. Includes new material on topics including: difference between discrete and continuous measurements; binary data; quartiles; importance of experimental design; “dummy” variables; rules for expectations and variances of linear functions; Poisson distribution; Weibull and lognormal distributions; central limit theorem, and data plotting. Introduces Bayesian statistics, including its applications to many fields. For those interested in learning more about probability and statistics.

    It provides a simple mathematical framework which can be used to understand and even design biological circuits. The textavoids specialist terms, focusing instead on several well-studied biological systems that concisely demonstrate key principles. An Introduction to Systems Biology: Design Principles of Biological Circuits builds a solid foundation for the intuitive understanding of general principles. It encourages the reader to ask why a system is designed in a particular way and then proceeds to answer with simplified models.

    The calculus is not a hard subject and I prove this through an easy to read and obvious approach spanning only 100 pages. I have written this book with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.Show more Show less

    GRAPH THEORY WITH APPLICATIONS TO ENGINEERING AND COMPUTER SCIENCE-PHI-DEO, NARSINGH-1979-EDN-1

    These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the dramatic scientific history expressed in the lives of these two great scientists and described in the lively, nontechnical writing style of Contance Reid.

    Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a new and simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems.

    His Contemporary Abstract Algebra, 6/e, includes challenging topics in abstract algebra as well as numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings that give the subject a current feel and makes the content interesting and relevant for students.

    With the new tablet, I absolutely love its many standard features and capabilities, but have found there is so much more that can be done with this amazing gadget. I’ve learned a lot of great things you can do with a Kindle Fire HD and want to help others get more out of their Kindle Fire HDX and HD devices. I've developed a comprehensive guide book to help users along on their device, including tips and tricks to really unlock and unleash the possibilities with the tablet. Here’s just some of the great info you’ll find in this User’s Guide Book: - Getting to know the various settings of your Kindle Fire HDX or HD - Browsing your Kindle and carousel - How to store your favorite content items on the device - Setting up security options to safeguard your device - Setting up your e-mail, contacts and calendar info - Setting up and using wireless networks - How to print from your Kindle Fire HD - How to install the Dolphin Browser with Adobe Flash - How to install the Google Chrome browser on your tablet - Pairing your Kindle Fire HD with a compatible Bluetooth phone or computer - How to set-up FreeTime for your kids to use your Kindle with restrictions - How to listen to the radio on your tablet - How to use your tablet to make phone calls for free! - How to download YouTube videos to your Kindle Fire HD - How to take photos and videos with your Kindle Fire HD camera - How to sideload apps on your Kindle Fire HD - Some of the best apps you can get for your tablet - Suggested apps to take your tablet to the next level! You’ll learn all of the above and more in this book which features color screenshots straight from the Kindle and step-by-step instructions on the processes involved in unleashing more powerful features for your Kindle Fire HD! There's also helpful links throughout the guide to take you right to the apps and websites being discussed. In all, this is a must-have ebook to get for any Kindle Fire HD user who wants to take their device to the next level! Note: Many of the tips and how-to's covered in this guide will also apply to the previous generation of the Kindle Fire HD, released in 2012. Please note this book is for owners of the American version of the Kindle Fire HDX & Kindle Fire HD tablets sold as of October 2013 in the United States.

    But are there limits to what we can discover about our physical universe?In this very personal journey to the edges of knowledge, Marcus du Sautoy investigates how leading experts in fields from quantum physics and cosmology, to sensory perception and neuroscience, have articulated the current lie of the land. In doing so, he travels to the very boundaries of understanding, questioning contradictory stories and consulting cutting edge data.Is it possible that we will one day know everything? Or are there fields of research that will always lie beyond the bounds of human comprehension? And if so, how do we cope with living in a universe where there are things that will forever transcend our understanding?In What We Cannot Know, Marcus du Sautoy leads us on a thought-provoking expedition to the furthest reaches of modern science. Prepare to be taken to the edge of knowledge to find out if there’s anything we truly cannot know.

    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

    But what were and are the true potentates of our planet? Insects, says Scott Richard Shaw—millions and millions of insect species. Starting in the shallow oceans of ancient Earth and ending in the far reaches of outer space—where, Shaw proposes, insect-like aliens may have achieved similar preeminence—Planet of the Bugs spins a sweeping account of insects’ evolution from humble arthropod ancestors into the bugs we know and love (or fear and hate) today. Leaving no stone unturned, Shaw explores how evolutionary innovations such as small body size, wings, metamorphosis, and parasitic behavior have enabled insects to disperse widely, occupy increasingly narrow niches, and survive global catastrophes in their rise to dominance. Through buggy tales by turns bizarre and comical—from caddisflies that construct portable houses or weave silken aquatic nets to trap floating debris, to parasitic wasp larvae that develop in the blood of host insects and, by storing waste products in their rear ends, are able to postpone defecation until after they emerge—he not only unearths how changes in our planet’s geology, flora, and fauna contributed to insects’ success, but also how, in return, insects came to shape terrestrial ecosystems and amplify biodiversity. Indeed, in his visits to hyperdiverse rain forests to highlight the current insect extinction crisis, Shaw reaffirms just how crucial these tiny beings are to planetary health and human survival. In this age of honeybee die-offs and bedbugs hitching rides in the spines of library books, Planet of the Bugs charms with humor, affection, and insight into the world’s six-legged creatures, revealing an essential importance that resonates across time and space.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.