This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.

    Readers are encouraged to do math rather than just study it. The author draws upon his experience as a coach for the International Mathematics Olympiad to give students an enhanced sense of mathematics and the ability to investigate and solve problems.

    Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

    

     You will learn how to pray for financial miracles and what to do when the answer is not forthcoming. You must simply read this book to gain a better understanding of prayer for finances.

    In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

    This title is intended for those who might enjoy an engaging dialogue on abstract mathematical ideas, and those who might wish to experience how new mathematics is created.

    This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, providing solid introductions to relations, functions, and cardinalities of sets.

    This edition contains NEW tables on Properties of Ionic Liquids, Solubilities of Hydrocarbons in Sea Water, Solubility of Organic Compounds in Superheated Water, and Nutritive Value of Foods. It also updates many tables including Critical Constants, Heats of Vaporization, Aqueous Solubility of Organic Compounds, Vapor Pressure of Mercury, Scientific Abbreviations and Symbols, and Bond Dissociation Energies. The 88th Edition also presents a new Foreword written by Dr. Harold Kroto, a 1996 Nobel Laureate in Chemistry.

    This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.

    We're all looking for new ways of thinking that can bring about real solutions to modern problems, from the pursuit of inner serenity to solving world conflicts. In Do You QuantumThink? author Dianne Collins shares her ingenious discovery that reveals a critical missing link to make sense of our changing times. Her discovery provides us with the understanding and methodology to rise above problems of today by laying the foundation for an entirely new way to think.Part science, part philosophy, part spirituality, Do You QuantumThink? draws on a wide spectrum of sources, from cutting edge innovations in the sciences to the insights of the world's greatest spiritual leaders. This book will make you laugh, free you from limiting ideas, and introduce you to the most advanced principles and practical methods for living. Do You QuantumThink? will rock your world in the best of ways as you experience one revelation after another.

    On March 2nd, 2000, the technology company 3Com spun off its insanely profitable hand-held computer subsidiary, Palm. It was one of the most fascinatingly high profile and complex and bungled trades in history, but All The Evil Of This World isn't about the millions and millions of dollars that instantly came into play, it's about seven separate voices from seven separate individuals (an ambitious low-level clerk fresh out of school, a drug-addicted, party-throwing broker with bad taste and gross amounts of money, a seemingly infallible hedge fund manager tortured by his own good luck, to name a few) and the 3Com/Palm trade is what weaves their stories together. They all collide into it and out of it, and it sometimes unites them, implodes them, saves them, or destroys them.This book is not for the faint of heart--these characters are just as troubled and intense and volatile as their surroundings, and the writing pulls not a single punch--but it's an unrelenting examination into a cast of characters that we rarely examine fairly or patiently, and who we often find it easy to dehumanize. The people who inhabit this world aren't cartoon heroes or villains--as it turns out, people who happen to handle large amounts of money for a living--are just people, with shortcomings, just like us.

    His ultimate proposition is that people need to start caring less about everything. Instead, the key to living a good life is in individuals knowing what matters to them and not wasting energy stressing over every little thing. He then proceeds to educate us on how to move forward by going backwards. Manson strongly believes that the endless pursuit of a flawless life, fueled by today's picture-perfect social media standards, is responsible for many of the psychological illnesses that have become rampant. The book culminates in a conclusion that we need to look beyond ourselves, drop the entitled airs, and embrace the ugliness and uncertainties before we can live better lives. This book contains a comprehensive, well detailed summary and key takeaways of the original book by Mark Manson. It summarizes the book in detail, to help people effectively understand, articulate and imbibe the original work by Mark. This book is not meant to replace the original book but to serve as a companion to it Contained is anExecutive Summary of the original book Key Points of each chapter and Brief chapter-by-chapter summaries To get this book, Scroll Up Now and Click on the "Buy now with 1-Click" Button to Download your Copy Right Away! Enjoy this edition instantly on your Kindle device! Now available in paperback and digital editions. Audio book coming soon!! Disclaimer: This is a summary, review of the book "The Subtle Art of Not Giving a F*ck" and not the original book.

     “You’re about as useful as a windshield wiper on a goat’s butt.” Keep this book handy, someday you’ll be glad you have it. “Let's play horse. I'll be the front end and you just be yourself.” Pick any of the many jaw-dropping insults then laugh at the look on your adversary’s face when you whip one out and use it on them. You’ll leave no doubt in their mind that you are a master of sarcastic insults! ADDED BONUS: In addition to the fresh and hilarious insults in this book, you’ll also find great sarcastic observations about life hidden inside this book’s pages, like… “I think the reason so many people have smart phones is because opposites attract!” You’re no idiot, so you need this book to start your new life as the master of sarcastic insults and put-downs! “Hey! Who left the Idiot Box open? Now they're everywhere!”

    Literature Guides Created by Harvard students for students everywhere, SparkNotes is a new breed of study guide: smarter, better, faster. Geared to what today's students need to know, SparkNotes provides: *Chapter-by-chapter analysis*Explanations of key themes, motifs, and symbols*A review quiz and essay topicsLively and accessible, these guides are perfect for late-night studying and writing papers