Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

    According to the author, these trends sought to create a unified conceptual apparatus as a common basis for the whole of human knowledge.Because these new developments in logical thought tended to perfect and sharpen the deductive method, an indispensable tool in many fields for deriving conclusions from accepted assumptions, the author decided to widen the scope of the work. In subsequent editions he revised the book to make it also a text on which to base an elementary college course in logic and the methodology of deductive sciences. It is this revised edition that is reprinted here.Part One deals with elements of logic and the deductive method, including the use of variables, sentential calculus, theory of identity, theory of classes, theory of relations and the deductive method. The Second Part covers applications of logic and methodology in constructing mathematical theories, including laws of order for numbers, laws of addition and subtraction, methodological considerations on the constructed theory, foundations of arithmetic of real numbers, and more. The author has provided numerous exercises to help students assimilate the material, which not only provides a stimulating and thought-provoking introduction to the fundamentals of logical thought, but is the perfect adjunct to courses in logic and the foundation of mathematics.

    Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

    I was lost ... Pat Quirke tried to come in and control everything' Bobby Ryan's disappearance in rural Tipperary in June 2011 mystified all who knew him. The truck-driver and part-time DJ (known as Mr Moonlight) was an easy-going fellow with no enemies. Or so everyone thought.When Ryan's body was found 22 months later on the farm of Mary Lowry, the wealthy young widow he had been seeing, it was clear that he had met a violent end.And the most likely person to have brought about that end? Pat Quirke, the man who had 'discovered' the body - Mary Lowry's brother-in-law, financial advisor, tenant and one-time lover.Following the longest running murder trial in Irish criminal history Quirke was convicted of murder in May 2019. Getting to that day had taken years of exhaustive work by gardaí. The Murder of Mr Moonlight is the definitive account of their investigation as well as the compelling story of how an innocent man paid the price for another man's obsessions.Catherine Fegan, Irish Journalist of the Year (2017), and Chief Correspondent at the Irish Daily Mail, covered every day of Quirke's trial. Over many months she also conducted interviews in Tipperary and further afield. She has written an extraordinary insightful and meticulous account of the case that gripped the nation. '[An] excellent book that shows all the colours of the story that intrigued the nation' Irish Daily Mail 'Well-researched and highly readable ... Fegan proves her journalistic mettle, delivering forensic detail in accessible language ... Anyone who followed the trial will not be disappointed by Fegan's book' Sunday Business Post 'Absolutely compulsive reading (as I know because my wife wouldn't let me anywhere near it - but I did get it in the end!) ... a page-turner' Eamon Dunphy, The Stand

    Find out below how all profits from every purchase of this book saves another person's life.Has your life turned out exactly as planned?When you were younger did you have dreams of being a rockstar?...a fireman?...a doctor?Who did you want to be before the world told you who you should be?When we're born, we enter a world full of systems, most of which are out of our control. There are tons of unwritten rules and social pressures we feel forced to follow. We're pressured to:- study hard and get good grades- get accepted and attend college- graduate and find a secure job- get married and start a familyWe're trained not to stray too far from the path.If we follow this recommended path, why do we still feel that we're missing something? In Breaking Out of a Broken System, Seth & Chandler Bolt give you the tools to re-draw the lines, chart new roads, and expand the borders around your life. Each of the brothers writes a totally different perspective on the 15 most important life lessons taught by their parents. These are things they thought everyone learned growing up, but they realized otherwise after going out into the "real world".As you read, you'll have the option to read two completely different perspectives on each life lesson.You can start with the artistic account written by Seth, bass player for the southern rock band NEEDTOBREATHE.Or...Dive into Chandler's entrepreneurial story told from the perspective of the younger brother.There are two major benefits that will manifest from reading these intriguing tales. First, your life will gain a fresh new outlook on how blazing new trails can be the perfect addition to your own path.And secondly, you'll be saving someone else's life.Each book sold saves a life by providing a life-saving malaria pill (#1book1life). Each year, 1.2 million people die from malaria. This is solely because many villages only receive 3-4 months worth of pills per year to cure the disease.Our mission with the "Breaking Out of a Broken System" book launch is to buy 10,000 life-saving malaria pills by selling 10,000 copies of this book.Buy this book, change your life. Buy this book, save another.Buy the book during launch week to get tons of free stuff & a chance to win the trip of lifetime to Uganda!

    The nation first fell in love with Jane twenty years ago, as the break-out star of BBC reality TV show The Cruise. She was catapulted to dizzying overnight success, but since then, she has navigated some stormy waters. Her dreams hit the rocks as TV and music execs, 'the London lot', swooped in and tried to morph her into a generic international diva. Her fans didn't recognise her, and melted away. Her marriage to Henrik, which began with a fairytale Carribean wedding watched by a television audience of 13.5m, collapsed. Jane lost her confidence, and hid from the world.But Jane's unsinkable and now she's back on the crest of a wave. In her uplifting autobiography she shares her incredible story with heart and humour. It hasn't always been plain sailing, but now she's enjoying more success than she's ever had before, and her fans love her all the more for it.

    This outrageous and inventive short story is not just focused solely on crap itself, but the spirituality of crap. This parody of the Tao Te Ching begs the question: Is everything crap? McFergus translates Li Chang's master work from an ancient roll of toilet paper, a minor Chinese national treasure purchased on eBay, to uncover the lost legend of Li Chang.DISCLAIMER: There is no Winnie the Pooh bear in this story. There is no piglet. The only honey pot in this story has crap in it. THIS IS NOT THE TAO OF POOH.

    Connecting games to math, science, and psychology, GameTek has grown to be one of the most popular parts of the show.This volume commemorates the anniversary with a collection of over seventy of the best segments, many with annotations and illustrations.With chapters on everything from Rock, Paper, Scissors to the Prisoner’s Dilemma to Player Engagement to Quasicrystals to Buddha’s Forbidden Games, GameTek is sure to delight not just game designers and players, but anyone who wants to learn about the world from a new perspective.Sections:• Game Theory• Math• Psychology• Science• Game Mechanics• Psychology Games• HistoryFrom the first time I heard it, the GameTek segment in The Dice Tower podcast became my favorite part of the show. Listening to Geoff is like going to your favorite lesson with your favorite teacher. He teaches about games (yay!) and does it in a very interesting way with lots of examples. He does amazing stuff. He knows about the construction of games, he knows the theory, he knows all that stuff behind the scenes that we gamers do not see when just playing a game and having fun.Ignacy Trzewiczek, Portal GamesThere are many hobby game 'experts' out there, dying to give you their opinion on how the industry works, how games work, what types of games are best, and so on. Geoff Engelstein is the expert that requires your attention. He is a scholar of games, and his research on games and other principles that apply to gaming is matched by none.Stephen Buonocore, Stronghold GamesOver the years, I’ve listened to a lot of people talk about board games, yet the short snippets that Geoff puts out are the ones that I find myself thinking about in the quiet of the night. His are the segments that you laugh at and say, “I have NO idea what you are talking about” — but later on use to show people just how intellectual you are.Tom Vasel, The Dice Tower

    . .'It is the final Test match of The Ashes. A nation expects, and the rest of the cricketing world is watching.Fast-paced, humorous and candid, The Test follows the battles on and off the field as stand-in England captain, James McCall, tries to get his exhausted team across the finish line. Along the way, his story becomes one of fatherhood, friendship and trusting yourself when no one else will.Nathan Leamon's love letter to Test cricket is that rare thing: a novel that captures the feel and flavour of professional sport from the inside - the good, the bad and the simply surreal.Not since J. L. Carr's classic A Season in Sinji has there been a novel that quite captures the spirit of the game.

    . .Denise Amber Lee was a 21-year-old happily married mother of two little boys. She had her whole life ahead of her. . .until an intruder broke into her Florida home. Within a few short hours she was savagely terrorized, murdered, and buried naked in a shallow grave near a desolate swamp.A DEPRAVED KILLER . . .Michael King, a 38-year-old out-of-work plumber, was a ticking time bomb. For years, neighbors called the police on King, complaining that, among other things, he'd thrown battery acid in their pool and slashed their tires. Denise's fate was far worse. In a horrifying act of cruelty, King bound her with duct tape, raped her repeatedly, then shot her dead.A TRAGIC FAILURE. . .Incredibly, Denise managed to call 911 twice during her abduction. Eyewitnesses and her distraught husband also called, but a slow, inefficient system tragically failed her. As a result, Florida passed the Denise Lee Law, setting voluntary standards for 911 systems. King was sentenced to death. But for Denise and her loving family, it was too late.Includes 16 Pages of Shocking Photos

    She is the former editor of Marie Claire, which sounds quite an achievement, but she was sacked three years in. A psychotherapist once told her, 'What you brood on will hatch', and she was right. Nothing Liz ever did in life ever worked out. Nothing. Not one single thing.Liz grew up in Essex, the youngest of seven children. Her mother was a martyr, her dad so dashing that no other man could ever live up to his pressed and polished standards. Her siblings terrified her, with their Afghan coats, cigarettes, parties, sex and drugs. They made her father shout, and her mother cry.Liz became an anorexic aged eleven, an illness that continues to blight her life today. She remained a virgin until her thirties, and even then found the wait wasn't really worth it; it was just one more thing to add to her to do list. She was named Columnist of the Year 2012 by the British Society of Magazine Editors, but is still too frightened to answer the phone, too filled with disgust at her own image to glance in the mirror or eat a whole avocado.She lives alone with her four rescued collies, three horses and seventeen cats. Girl Least Likely To is the opposite of 'having it all'. It is a life lesson in how NOT to be a woman.

    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

    Because of this balance, "Microbiology" is appropriate for microbiology majors and mixed majors courses. The new authors have focused on readability, artwork, and the integration of several key themes (including evolution, ecology and diversity) throughout the text, making an already superior text even better.

    It has an algebra and trigonometry prerequisite, but calculus is preferred.

    Together, we can and must act now' Al Gore, former Vice President of the United States 'Everyone's savings account and pension can meaningfully contribute. Ross tells us how in this clear, easy to understand yet transformative book' Christiana Figueres, Founding Partner, Global Optimism and Former Executive Secretary, United Nations Framework Convention on Climate Change 'I can't imagine a more important book at the moment. A detailed, action-oriented guide on how to make our money matter and save us and the planet we live on' Richard Curtis, Writer, Director, Co-Founder of Red Nose Day and UN Sustainable Development Goals Advocate Investing responsibly is one of the most powerful ways that you can fight climate change. No longer a niche sector for rebel fund managers, conscious investing has the potential to raise huge sums of money to the companies and organisations on the front line fighting the climate crisis and make investors positive returns in the process. In this essential introduction to green investing, Alice Ross shows you how you can turn your savings and pensions, however big or small, into a force for change. You will learn: - Which sectors are leading the charge by developing cutting-edge solutions; from smart farming to renewable energy- How to cut through 'alphabet soup' jargon and identify 'greenwashing' - The ways you can maximise your economic power and hold those you're investing in to account 'Changing the way that we invest is one of the most powerful levers we have for solving climate change. This hugely interesting and immensely practical book not only explains why changing how we invest is so critically important but also provides a set of powerful tools for actually doing it' Rebecca Henderson, John and Natty McArthur University Professor at Harvard University and author of Reimagining Capitalism 'Explains the power you have, through your investment choices, to accelerate the path toward a sustainable clean energy future. Read this book and be empowered to create a better future for the planet' Michael Mann, Distinguished Professor, Penn State University, author of The New Climate War