You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics' most challenging problem.

    Reveals mathematics' great power as an alternative language for understanding things and explores such concepts as logic as a computing tool, digital versus analog processes and communication as information transmission.

    Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.

    Stimulating, illuminating, and always surprising, The Big Questions challenges readers to re-evaluate their most fundamental beliefs and reveals the relationship between the loftiest philosophical quests and our everyday lives.

    It innovatively embeds Indian cases and contexts in the theoretical discussions and involves students in applying theories to current issues. Without oversimplifying concepts, this textbook uses the conversational, context-specific style of a good teacher and recreates the flavour of the classroom inside its covers. Some of its special features are: an outline for each chapter highlighting its main elements, an introductory section discussing the concept, and rationale of chapter organization, cross-referencing of important terms, points for discussion and a detailed reading list.

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    It can urge the reader to explore new methodologies to have maximum fun with numbers, and opt for a higher course in mathematics. The book was specifically designed to help the student community, and develop a strong affinity towards problem solving.the book offers many complicated, and interesting challenges for the user, keeping them engaged throughout. A large number of solved problems are also included in challenge and thrill of pre-college mathematics, to give readers an insight into the subject. The book can be an eye-opener for school students of class 7 and above. The materials given in the book are powerful enough to help them develop a strong interest for the subject. The concepts are explained in a simple and comprehensive manner, providing them with a good understanding of mathematical fundamentals.what makes the book distinct is its detailed sections on geometry, that can improve the reasoning skills of students. There are also detailed accounts on algebra and trigonometry, enhancing the competitive ability of the users. The topics such as combinatorics, number theory, and probability are also explained in detail, in the book. Each chapter was designed with the intention of motivating students to appreciate the excitement that mathematical problems can provide. Published in 2003 by new age international publishers, the book is available in paperback. Key features: the book includes a collection of more than 300 solved numerical problems, compiled from various national, as well as international mathematical olympiads.it is widely recommended by students and teachers, alike as an essential preparatory book for those writing competitive examinations.

    This is a presentation of the essential teaching of this direct path to freedom that focuses on the recognition and realization of the True Self. This book identifies the root cause of suffering as the identification with the mind and the belief that the psychological construct that is considered the "person" is actual. It is shown that this idea we have of who we are is an illusion that has been taken to be real and thus creates all forms of psychological suffering and confusion. The freedom from this illusion is shown to be available to anyone who is willing to recognize and realize the truth of who they are. This is a non-dual approach to psychological treatment that is becoming a new approach that has the potential to bring an end to all psychological disorders.

    But this book will help you to do something that humans have only recently understood how to do: to count to regions that no animal has ever reached. By the end of this book you'll be able to count to infinity... and beyond. On our way to infinity we'll discover how the ancient Babylonians used their bodies to count to 60 (which gave us 60 minutes in the hour), how the number zero was only discovered in the 7th century by Indian mathematicians contemplating the void, why in China going into the red meant your numbers had gone negative and why numbers might be our best language for communicating with alien life.But for millennia, contemplating infinity has sent even the greatest minds into a spin. Then at the end of the nineteenth century mathematicians discovered a way to think about infinity that revealed that it is a number that we can count. Not only that. They found that there are an infinite number of infinities, some bigger than others. Just using the finite neurons in your brain and the finite pages in this book, you'll have your mind blown discovering the secret of how to count to infinity.Do something amazing and learn a new skill thanks to the Little Ways to Live a Big Life books!

    Offers 365 daily inspirational thoughts from The Road Less Traveled and The Different Drum that focus on the challenges of everyday life.

     Using a clear and effective methodology and stunning graphics to visually guide you, Think Differently discusses the important, sometimes challenging, but always relevant topics of today – taking theories off the page through relatable examples.  Dip in and out of lessons as you explore how philosophy is at the heart of your everyday. From people skills to lifestyle choices, self-help to politics – and how you spend your free time.  As Adam Ferner explains, 'like the sugar from a donut, philosophy covers absolutely everything'.

    AI is all the rage, and the buzziest AI buzz surrounds adaptive machine learning computer systems that learn intelligent behavior from massive amounts of data. This is what powers a driverless car, for example. In this book, Hector Levesque shifts the conversation to -good old fashioned artificial intelligence, - which is based not on heaps of data but on understanding commonsense intelligence. This kind of artificial intelligence is equipped to handle situations that depart from previous patterns -- as we do in real life, when, for example, we encounter a washed-out bridge or when the barista informs us there's no more soy milk.Levesque considers the role of language in learning. He argues that a computer program that passes the famous Turing Test could be a mindless zombie, and he proposes another way to test for intelligence -- the Winograd Schema Test, developed by Levesque and his colleagues. -If our goal is to understand intelligent behavior, we had better understand the difference between making it and faking it, - he observes. He identifies a possible mechanism behind common sense and the capacity to call on background knowledge: the ability to represent objects of thought symbolically. As AI migrates more and more into everyday life, we should worry if systems without common sense are making decisions where common sense is needed.

    In this book, the American pragmatist Richard Rorty and the French analytic philosopher Pascal Engel present their radically different perspectives on truth and its correspondence to reality.Rorty doubts that the notion of truth can be of any practical use and points to the preconceptions that lie behind truth in both the intellectual and social spheres. Engel prefers a realist conception, defending the relevance and value of truth as a norm of belief and inquiry in both science and the public domain. Rorty finds more danger in using the notion of truth than in getting rid of it. Engel thinks it is important to hold on to the idea that truth is an accurate representation of reality.In Rorty's view, epistemology is an artificial construct meant to restore a function to philosophy usurped by the success of empirical science. Epistemology and ontology are false problems, and with their demise goes the Cartesian dualism of subject and object and the ancient problematic of appearance and reality. Conventional "philosophical problems," Rorty asserts, are just symptoms of the professionalism that has disfigured the discipline since the time of Kant. Engel, however, is by no means as complacent as Rorty in heralding the "end of truth," and he wages a fierce campaign against the "veriphobes" who deny its value.What's the Use of Truth? is a rare opportunity to experience each side of this impassioned debate clearly and concisely. It is a subject that has profound implications not only for philosophical inquiry but also for the future study of all aspects of our culture.

    He spent two years gathering information that demonstrates this and along the way interviewed more than a hundred experts in a number of different fields. Among them were parapsychologists, medical doctors, psychologists, psychiatrists, quantum physicists, and researchers into the true nature of reality. Specific examples are presented that indicate what happens when we die, for example that memories can be formed and retained despite a subject’s brain having been shutdown and the blood drained from it. Questions such as whether or not you will be able to communicate with living loved ones after death are addressed, if it is possible to be reborn, and what might be missing from reproductive theory to explain the various phenomena indicated in the many case histories and scientific investigations presented. All of us will someday cross the border to what Shakespeare called "The undiscovered country." As long as we must make that trip, wouldn’t it be smart to find out where we are going and what to expect when we get there?