How to Count to Infinity
Marcus du Sautoy - 2020
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!
Models of the Mind: How Physics, Engineering and Mathematics Have Shaped Our Understanding of the Brain
Grace Lindsay - 2021
For over a century, a diverse array of researchers have been trying to find a language that can be used to capture the essence of what these neurons do and how they communicate – and how those communications create thoughts, perceptions and actions. The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it.In Models of the Mind, author and computational neuroscientist Grace Lindsay explains how mathematical models have allowed scientists to understand and describe many of the brain's processes, including decision-making, sensory processing, quantifying memory, and more. She introduces readers to the most important concepts in modern neuroscience, and highlights the tensions that arise when bringing the abstract world of mathematical modelling into contact with the messy details of biology.Each chapter focuses on mathematical tools that have been applied in a particular area of neuroscience, progressing from the simplest building block of the brain – the individual neuron – through to circuits of interacting neurons, whole brain areas and even the behaviours that brains command. Throughout Grace will look at the history of the field, starting with experiments done on neurons in frog legs at the turn of the twentieth century and building to the large models of artificial neural networks that form the basis of modern artificial intelligence. She demonstrates the value of describing the machinery of neuroscience using the elegant language of mathematics, and reveals in full the remarkable fruits of this endeavour.
A History of Modern Psychology
C. James Goodwin - 1998
They will also develop a deeper understanding of the many interconnections that exist among the different areas of psychology. Goodwin's book not only provides accounts of the lives and contributions of psychology's pioneers set into historical context; it also contains original writings by these psychologists, interwoven with informative comments from the author. The text is written in a conversational and engaging style with discrete attention to recent scholarship in the history of psychology, especially that of the past 150 years.
Welcome to Your Brain: Why You Lose Your Car Keys But Never Forget How To Drive and Other Puzzles of Everyday Behavior
Sandra Aamodt - 2008
We are using our brains at practically every moment of our lives, and yet few of us have the first idea how they work. Much of what we think we know comes from folklore: that we only use 10 percent of our brain, or that drinking kills brain cells. These and other brain myths are wrong, as demonstrated by the work of neuroscientists who have spent decades studying this complex organ. However, most of what scientists have learned is not known to the world outside their laboratories.In this readable, lively book, Sandra Aamodt and Sam Wang dispel common myths about the brain and provide a comprehensive, useful overview of how it really works. In its pages, you'll discover how to cope with jet lag, how your brain affects your religion, and how men's and women's brains differ. With witty, accessible prose decorated by charts, trivia, quizzes, and illustrations, this book is great for quick reference or extended reading.Both practical and fun, Welcome to Your Brain is perfect whether you want to impress your friends or simply use your brain better.
Artificial Intelligence: A Modern Approach
Stuart Russell - 1994
The long-anticipated revision of this best-selling text offers the most comprehensive, up-to-date introduction to the theory and practice of artificial intelligence. *NEW-Nontechnical learning material-Accompanies each part of the book. *NEW-The Internet as a sample application for intelligent systems-Added in several places including logical agents, planning, and natural language. *NEW-Increased coverage of material - Includes expanded coverage of: default reasoning and truth maintenance systems, including multi-agent/distributed AI and game theory; probabilistic approaches to learning including EM; more detailed descriptions of probabilistic inference algorithms. *NEW-Updated and expanded exercises-75% of the exercises are revised, with 100 new exercises. *NEW-On-line Java software. *Makes it easy for students to do projects on the web using intelligent agents. *A unified, agent-based approach to AI-Organizes the material around the task of building intelligent agents. *Comprehensive, up-to-date coverage-Includes a unified view of the field organized around the rational decision making pa
Bayesian Data Analysis
Andrew Gelman - 1995
Its world-class authors provide guidance on all aspects of Bayesian data analysis and include examples of real statistical analyses, based on their own research, that demonstrate how to solve complicated problems. Changes in the new edition include:Stronger focus on MCMC Revision of the computational advice in Part III New chapters on nonlinear models and decision analysis Several additional applied examples from the authors' recent research Additional chapters on current models for Bayesian data analysis such as nonlinear models, generalized linear mixed models, and more Reorganization of chapters 6 and 7 on model checking and data collectionBayesian computation is currently at a stage where there are many reasonable ways to compute any given posterior distribution. However, the best approach is not always clear ahead of time. Reflecting this, the new edition offers a more pluralistic presentation, giving advice on performing computations from many perspectives while making clear the importance of being aware that there are different ways to implement any given iterative simulation computation. The new approach, additional examples, and updated information make Bayesian Data Analysis an excellent introductory text and a reference that working scientists will use throughout their professional life.
Elementary Linear Algebra with Applications
Howard Anton - 1973
It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. The applications version features a wide variety of interesting, contemporary applications. Clear, accessible, step-by-step explanations make the material crystal clear. Established the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigenvalues.
Essentials of Statistics
Mario F. Triola - 2001
What do you want to learn?
Discover the Power of Real Data
Mario Triola remains the market-leading statistics author by engaging readers of each edition with an abundance of real data in the examples, applications, and exercises. Statistics is all around us, and Triola helps readers understand how this course will impact their lives beyond the classroom–as consumers, citizens, and professionals. Essentials of Statistics, Fourth Edition is a more economical and streamlined introductory statistics text. Drawn from Triola’s Elementary Statistics, Eleventh Edition, this text provides the same student-friendly approach with material presented in a real-world context. The Fourth Edition contains more than 1,700 exercises (18% more than the previous edition); 89% are new and 81% use real data. The book also contains hundreds of examples; 86% are new and 92% use real data. By analyzing real data, readers are able to connect abstract concepts to the world at large, teaching them to think statistically and apply their conceptual understanding using the same methods that professional statisticians employ. Datasets and other resources (where applicable) for this book are available here.
Brain Maker: The Power of Gut Microbes to Heal and Protect Your Brain for Life
David Perlmutter - 2015
But a medical revolution is underway that can solve this problem: Astonishing new research is revealing that the health of your brain is, to an extraordinary degree, dictated by the state of your microbiome - the vast population of organisms that live in your body and outnumber your own cells ten to one. What's taking place in your intestines today is determining your risk for any number of brain-related conditions.In BRAIN MAKER, Dr. Perlmutter explains the potent interplay between intestinal microbes and the brain, describing how the microbiome develops from birth and evolves based on lifestyle choices, how it can become "sick," and how nurturing gut health through a few easy strategies can alter your brain's destiny for the better. With simple dietary recommendations and a highly practical program of six steps to improving gut ecology, BRAIN MAKER opens the door to unprecedented brain health potential.
An Introduction to Theories of Learning
Matthew H. Olson - 1982
Accessible for undergraduates yet thorough enough for graduate students, this comprehensive text defines learning and shows how the learning process is studied. The text places learning in its historical perspective, giving students an appreciation for the figures and theories that have shaped 100 years of learning theory research.
Neuroscience for Dummies
Frank Amthor - 2011
Neuroscience For Dummies tracks to an introductory neuroscience class, giving you an understanding of the brain's structure and function, as well as a look into the relationship between memory, learning, emotions, and the brain. Providing insight into the biology of mental illness and a glimpse at future treatments and applications of neuroscience, Neuroscience For Dummies is a fascinating read for students and general interest readers alike.The brain holds the secrets to our personalities, our use of language, our love of music, and our memories. Neuroscience For Dummies looks at how this complex structure works, according to the most recent scientific discoveries, illustrated by helpful diagrams and engaging anecdotes.Helpful diagrams and engaging anecdotes enhance material The latest scientific discoveries are sprinkled throughout Tracks to a typical introductory neuroscience class From how the brain works to how you feel emotions, Neuroscience For Dummies offers a comprehensive overview of the fascinating study of the human brain.
Cognition
Mark H. Ashcraft - 2001
A major section provides background and information on neurons and the brain. This text is directed primarily toward undergraduate students at junior and senior level.
Biggest Secrets
William Poundstone - 1993
Fields Cookies... What backward messages on records are really trying to tell you... Frank Sinatra's real age... Why you can't counterfeit a lottery ticket... Barbra Streisand's blue movie... The other Boy Scout rituals... Ingmar Bergman's soap commercials... The formula for Play-Doh... and more.
The Student's Guide to Cognitive Neuroscience
Jamie Ward - 2006
Following an introduction to neural structure and function, all the key methods and procedures of cognitive neuroscience are explained, with a view to helping students understand how they can be used to shed light on the neural basis of cognition.The second part of the book goes on to present an up-to-date overview of the latest theories and findings in all the key topics in cognitive neuroscience, including vision, attention, memory, speech and language, numeracy, executive function and social and emotional behaviour. Throughout, case studies, newspaper reports and everyday examples are used to provide an easy way in to understanding the more challenging ideas that underpin the subject.In addition each chapter includes:Summaries of key terms and points Example essay questions to aid exam preparation Recommended further reading Feature boxes exploring interesting and popular questions and their implications for the subject.Written in an engaging style by a leading researcher in the field, this book will be invaluable as a core text for undergraduate modules in cognitive neuroscience. It can also be used as a key text on courses in cognition, cognitive neuropsychology or brain and behaviour. Those embarking on research will find it an invaluable starting point and reference.We offer CD-ROM-based resources free of charge to instructors who recommend The Student's Guide to Cognitive Neuroscience by Jamie Ward. These resources include:A chapter-by-chapter, illustrated slideshow lecture course An innovative bank of multiple-choice questions, graded according to difficulty and which allow for confidence-weighted answers Comprehensive lecture planning advice tailored to different length courses.Jamie Ward has researched and taught extensively in many areas of cognitive neuroscience. He is a leading authority on the subject of synaesthesia and has contributed to a wider understanding of it in both academic and lay circles.