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long math problem copy and paste: Diagrammatica Martinus Veltman, 1994-06-16 This author provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. His aim is to make clear what the physical foundations of present-day field theory are, to clarify the physical content of Feynman rules. The book begins with a brief review of some aspects of Einstein's theory of relativity that are of particular importance for field theory, before going on to consider the relativistic quantum mechanics of free particles, interacting fields, and particles with spin. The techniques learnt in the chapters are then demonstrated in examples that might be encountered in real accelerator physics. Further chapters contain discussions of renormalization, massive and massless vector fields and unitarity. A final chapter presents concluding arguments concerning quantum electrodynamics. The book includes valuable appendices that review some essential mathematics, including complex spaces, matrices, the CBH equation, traces and dimensional regularization. An appendix containing a comprehensive summary of the rules and conventions used is followed by an appendix specifying the full Lagrangian of the Standard Model and the corresponding Feynman rules. To make the book useful for a wide audience a final appendix provides a discussion of the metric used, and an easy-to-use dictionary connecting equations written with different metrics. Written as a textbook, many diagrams, exercises and examples are included. This book will be used by beginning graduate students taking courses in particle physics or quantum field theory, as well as by researchers as a source and reference book on Feynman diagrams and rules. |
long math problem copy and paste: The Stanford Mathematics Problem Book George Polya, Jeremy Kilpatrick, 2013-04-09 Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition. |
long math problem copy and paste: Principia Mathematica Alfred North Whitehead, Bertrand Russell, 1910 |
long math problem copy and paste: Challenging Problems in Algebra Alfred S. Posamentier, Charles T. Salkind, 2012-05-04 Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided. |
long math problem copy and paste: Solving Mathematical Problems Terence Tao, 2006-07-28 Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics. |
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long math problem copy and paste: Mathematical Writing Donald E. Knuth, Tracy Larrabee, Paul M. Roberts, 1989 This book will help those wishing to teach a course in technical writing, or who wish to write themselves. |
long math problem copy and paste: How to Prove It Daniel J. Velleman, 2006-01-16 Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians. |
long math problem copy and paste: Five Equations That Changed the World Dr. Michael Guillen, 2012-06-05 A Publishers Weekly best book of 1995! Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as a wholly accessible, beautifully written exploration of the potent mathematical imagination, and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery. |
long math problem copy and paste: My selected essays from Medium on Computer programming Jorge Guerra Pires, 2021-12-29 “I want thinkers, not followers!” Internet, social media in general, has this nice feature of making possible for anyone to spread their ideas, as said an online influencer, on TED Talks, “everyone has an opinion”, “does everyone has something interesting to say?” Medium is a website dedicated to independent writers, mainly, like myself. Anyone can write to Medium, there is no curation or selection. Publications are “small organizations” that select those articles: this is the counterpart of conventional/traditional publication systems. In addition to independent writings, I also write to the Publications: Geek Culture, Data Driven Investor, and JavaScript in Plain English. Some articles here were firstly published independently, and after that, either invited or submitted to a publication, or kept as standalone article. What is the best way to use this e-book? The e-book was designed to be read: it does not focus on anything. Some parts are tutorial/hands-on sections, but most of the book is for learning things superficially. General topic: computer programming. More specific topics: Angular; JavaScript; TensorFlow.js Deep learning; Artificial Neural Networks; Computer programming With this e-book, I hope Give my readers an opportunity to support my online work on a gain-gain gesture; Concentrate more on content quality less than view, catchers and so on; Some advantage of the e-book, compared to Medium All the articles reviewed, grammar checked, and more; Several topics curated for you; No distractions, as you read; Extra articles, exclusive for the e-book readers; Exclusive discussions, should you want to talk; How to read this e-book? Even though I have selected the essays, using coding as center, the writings may still be dispersed, wide-ranging. Therefore, this e-book can be nice for reading, with the hope to learn something new. I would imagine that each chapter may call the attention of different people, not all of them at once. The book can be nice as well to keep around, give a first read, and from time to time, should you need, just come back! I would read the book randomly, at first, and keep it around: for me, when I am solving problems, those readings start to come up in my mind, and helps to be creative on my solutions! Grab your copy on Amazon and start to expand your brain! |
long math problem copy and paste: The Principles of Mathematics Bertrand Russell, 1903 |
long math problem copy and paste: The Standard Model Cliff Burgess, Guy Moore, 2007 This 2006 book uses the standard model as a vehicle for introducing quantum field theory. |
long math problem copy and paste: Advanced Calculus (Revised Edition) Lynn Harold Loomis, Shlomo Zvi Sternberg, 2014-02-26 An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds. |
long math problem copy and paste: Math in Society David Lippman, 2012-09-07 Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well. |
long math problem copy and paste: The Amazon Fire Phone Scott McNulty, 2015 Amazon and device expert Scott McNulty offers plenty of tips and pointers for using Amazon's new smartphone, including how to capture and store photos, watch videos, listen to music, read books, and get the most from Amazon Prime. With this essential companion, you'll learn how to use your Fire phone to take full advantage of Amazon's rich ecosystem of songs, apps, games, movies, TV shows, books, and more. |
long math problem copy and paste: Gauge Theory of Weak Interactions Walter Greiner, Berndt M?ller, 2009 Gauge Theory of Weak Interactions treats the unification of electromagnetic and weak interactions and considers related phenomena. First, the Fermi theory of beta decay is presented, followed by a discussion of parity violation, clarifying the importance of symmetries. Then the concept of a spontaneously broken gauge theory is introduced, and all necessary mathematical tools are carefully developed. The standard model of unified electroweak interactions is thoroughly discussed including current developments. The final chapter contains an introduction to unified theories of strong and electroweak interactions. Numerous solved examples and problems make this volume uniquely suited as a text for an advanced course. Thisfourth edition has been carefully revised. |
long math problem copy and paste: The Structure and Interpretation of the Standard Model Gordon McCabe, 2011-08-30 This book provides a philosophically informed and mathematically rigorous introduction to the 'standard model' of particle physics. The standard model is the currently accepted and experimentally verified model of all the particles and interactions in our universe. All the elementary particles in our universe, and all the non-gravitational interactions -the strong nuclear force, the weak nuclear force, and the electromagnetic force - are collected together and, in the case of the weak and electromagnetic forces, unified in the standard model. Rather than presenting the calculational recipes favored in most treatments of the standard model, this text focuses upon the elegant mathematical structures and the foundational concepts of the standard model.· Combines an exposition of the philosophical foundations and rigorous mathematical structure of particle physics· Demonstrates the standard model with elegant mathematics, rather than a medley of computational recipes· Promotes a group-theoretical and fibre-bundle approach to the standard model, rather than the Lagrangian approach favoured by calculationalists· Explains the different approaches to particle physics and the standard model which can be found within the literature |
long math problem copy and paste: Using Microsoft Word 2010 Tim Huddleston, Mike Miller, 2010-11-30 Using Microsoft Word 2010 is a customized, media-rich learning experience designed to help new users master Microsoft Word 2010 system quickly, and get the most out of it, fast! It starts with a concise, friendly, straight-to-the-point guide to Microsoft Word 2010. This exceptional book is fully integrated with an unprecedented collection of online learning resources: online video, screencasts, podcasts, and additional web content, all designed to reinforce key concepts and help users achieve real mastery. The book and online content work together to teach everything mainstream Microsoft Word 2010 users need to know. Practical, approachable coverage that completely flattens the Microsoft Word 2010 learning curve Tightly integrated with online video, screencast tutorials, podcasts, and more: the total learning experience for new Microsoft Word 2010 users A companion website offers supplemental media including video, screencast tutorials, podcasts, and more |
long math problem copy and paste: The Mathematical Theory of Communication Claude E Shannon, Warren Weaver, 1998-09-01 Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic. |
long math problem copy and paste: Introductory Statistics 2e Barbara Illowsky, Susan Dean, 2023-12-13 Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License. |
long math problem copy and paste: Fifty Challenging Problems in Probability with Solutions Frederick Mosteller, 2012-04-26 Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions. |
long math problem copy and paste: Maximum PC , 2002-02 Maximum PC is the magazine that every computer fanatic, PC gamer or content creator must read. Each and every issue is packed with punishing product reviews, insightful and innovative how-to stories and the illuminating technical articles that enthusiasts crave. |
long math problem copy and paste: Division Word Problems , 2006 |
long math problem copy and paste: Word Problems, Grade 7 , 2013-12-02 Spectrum(R) Word Problems for grade 7 includes practice for essential math skills, such as real world applications, multi-step word problems, variables, ratio and proportion, perimeter, area and volume, percents, statistics and more. Spectrum(R) Word Problems supplement to classroom work and proficiency test preparation. The series provides examples of how the math skills students learn in school apply to everyday life with challenging, multi-step word problems. It features practice with word problems that are an essential part of the Common Core State Standards. Word problem practice is provided for essential math skills, such as fractions, decimals, percents, metric and customary measurement, graphs and probability, and preparing for algebra and more. |
long math problem copy and paste: Mathematics Into Type Ellen Swanson, Arlene Ann O'Sean, Antoinette Tingley Schleyer, 1999-01-01 This edition, updated by Arlene O'Sean and Antoinette Schleyer of the American Mathematical Society, brings Ms. Swanson's work up to date, reflecting the more technical reality of publishing today. While it includes information for copy editors, proofreaders, and production staff to do a thorough, traditional copyediting and proofreading of a manuscript and proof copy, it is increasingly more useful to authors, who have become intricately involved with the typesetting of their manuscripts. |
long math problem copy and paste: Introduction to Programming and Problem-Solving Using Scala Mark C. Lewis, Lisa Lacher, 2016-10-14 Praise for the first edition: The well-written, comprehensive book...[is] aiming to become a de facto reference for the language and its features and capabilities. The pace is appropriate for beginners; programming concepts are introduced progressively through a range of examples and then used as tools for building applications in various domains, including sophisticated data structures and algorithms...Highly recommended. Students of all levels, faculty, and professionals/practitioners.—D. Papamichail, University of Miami in CHOICE Magazine Mark Lewis’ Introduction to the Art of Programming Using Scala was the first textbook to use Scala for introductory CS courses. Fully revised and expanded, the new edition of this popular text has been divided into two books. Introduction to Programming and Problem-Solving Using Scala is designed to be used in first semester college classrooms to teach students beginning programming with Scala. The book focuses on the key topics students need to know in an introductory course, while also highlighting the features that make Scala a great programming language to learn. The book is filled with end-of-chapter projects and exercises, and the authors have also posted a number of different supplements on the book website. Video lectures for each chapter in the book are also available on YouTube. The videos show construction of code from the ground up and this type of live coding is invaluable for learning to program, as it allows students into the mind of a more experienced programmer, where they can see the thought processes associated with the development of the code. About the Authors Mark Lewis is a Professor at Trinity University. He teaches a number of different courses, spanning from first semester introductory courses to advanced seminars. His research interests included simulations and modeling, programming languages, and numerical modeling of rings around planets with nearby moons. Lisa Lacher is an Assistant Professor at the University of Houston, Clear Lake with over 25 years of professional software development experience. She teaches a number of different courses spanning from first semester introductory courses to graduate level courses. Her research interests include Computer Science Education, Agile Software Development, Human Computer Interaction and Usability Engineering, as well as Measurement and Empirical Software Engineering. |
long math problem copy and paste: SAT and ACT Hard Math Problems Vincent Ardizzone, 2021-03-26 Get ready to be challenged! The 200 hard SAT and ACT math problems in this book are modeled after the hardest problems ever seen on the SAT and ACT. They were also chosen based on my many years tutoring hundreds of students for the SAT and ACT exams, so I know which ones they struggle with the most. Since students have a broad range of math skill levels and abilities, some problems will be more challenging than others depending on the particular student using this guide. But, there will surely be something for everyone in terms of difficulty and concepts not fully understood. The solutions offered are my own, and are designed to answer the questions as efficiently as possible while minimizing confusion. If you're aiming to get into a top tier college, then this book will surely help you get there. |
long math problem copy and paste: Mathematical Quickies Charles W. Trigg, 1985 For the mathematics enthusiast of any age or level of sophisitcation, this stimulating treasury of unusual math problems offers unlimited opportunity for mind-biggling recreation. Carles W. Trigg, Dean Emeritus and Professor Emeritus at Los Angeles City College and one of the country's best-known problemists, has compiled nearly 300 mathematical brainteasers from the field of of arithmetic, algebra, plane and solid geometry, trigonometry, number theory, and such general recreational mathematics and dissections, cryptarithms and magic squares. The object of each problem is to find the quickest, most elegant solution - they are often unorthodox and there is usually and element of surprise in each. Ranging from the simple to complex, problems are both original with the author and the work of over 100 other qualified mathematicians. Most are rarely seen or entirely new; all challenge the reader to devise solutions more elegant than the ones provided. |
long math problem copy and paste: Indiscrete Thoughts Gian-Carlo Rota, 2009-11-03 Indiscrete Thoughts gives a glimpse into a world that has seldom been described - that of science and technology as seen through the eyes of a mathematician. The era covered by this book, 1950 to 1990, was surely one of the golden ages of science and of the American university. Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period. Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. This beautifully written book is destined to become an instant classic and the subject of debate for decades to come. |
long math problem copy and paste: Basic Algebra Anthony W. Knapp, 2006-09-28 Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems. |
long math problem copy and paste: Mathematics in the Primary School Richard R. Skemp, 2002-09-11 National Curriculum guidelines emphasise knowledge, understanding and skills. The author, an internationally recognised authority, provides teachers with a clear explanation of these principles, and explains the relation between understanding and skills, and describes their application to the teaching of mathematics. The book contains numerous activities to show how mathematics can be learnt in the primary classroom with understanding and enjoyment, including: * formation of mathematical concepts * construction of knowledge * contents and structure of primary mathematics |
long math problem copy and paste: EdPsych Modules Cheryl Cisero Durwin, Marla Reese-Weber, 2016-12-01 Now with SAGE Publications, Cheryl Cisero Durwin and Marla Reese-Weber’s EdPsych Modules uses an innovative implementation of case studies and a modular format to address the challenge of effectively connecting theory and research to practice. Each module is a succinct, stand-alone topic that represents every subject found in traditional chapter texts and can be used in any order for maximum flexibility in organizing your course. Each of the book’s eight units of modules begins with a set of four case studies–early childhood, elementary, middle school, and secondary–and ends with “Assess” and “Reflect and Evaluate” questions and activities to encourage comprehension and application of the research and theories presented. The case approach and the extensive pedagogy that support it allows students to constantly see the applications of the theories and research that they are studying in the text. |
long math problem copy and paste: How to Write Mathematics Norman Earl Steenrod, 1973-12-31 This classic guide contains four essays on writing mathematical books and papers at the research level and at the level of graduate texts. The authors are all well known for their writing skills, as well as their mathematical accomplishments. The first essay, by Steenrod, discusses writing books, either monographs or textbooks. He gives both general and specific advice, getting into such details as the need for a good introduction. The longest essay is by Halmos, and contains many of the pieces of his advice that are repeated even today: In order to say something well you must have something to say; write for someone; think about the alphabet. Halmos's advice is systematic and practical. Schiffer addresses the issue by examining four types of mathematical writing: research paper, monograph, survey, and textbook, and gives advice for each form of exposition. Dieudonne's contribution is mostly a commentary on the earlier essays, with clear statements of where he disagrees with his coauthors. The advice in this small book will be useful to mathematicians at all levels. |
long math problem copy and paste: Putnam and Beyond Răzvan Gelca, Titu Andreescu, 2017-09-19 This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons. |
long math problem copy and paste: Open Problems in Mathematics John Forbes Nash, Jr., Michael Th. Rassias, 2018-05-31 The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer science, and more. Extensive discussions surrounding the progress made for each problem are designed to reach a wide community of readers, from graduate students and established research mathematicians to physicists, computer scientists, economists, and research scientists who are looking to develop essential and modern new methods and theories to solve a variety of open problems. |
long math problem copy and paste: The Busyness Delusion Chris Gardener, 2018-06-17 When your business is a job in disguise and feels like a hamster wheel it's time to get smarter. How to have financial security, freedom and fulfilment ... without being so stupidly busy. When people find out you run your own business you know what they'll ask: How's it going? Are you busy? Somehow, busy has come to mean successful. But you didn't wake up this morning thinking my main aim today is to be as busy as possible! You don't have your business to be busy ... so why DO you work so hard? We all have our businesses for the same reason. The same three reasons actually - to have financial security, freedom and fulfilment - the 3Fs. But these aren't the outcomes for most small businesses. Instead, the common experience feels like you're on a hamster wheel, where the hours are long and the rewards mediocre. Self-esteem is threatened and life, love and relationships impacted. This book explains why this happens and how to approach work in a smarter way, to have a better business with less busyness and more certain results, so you can get back to living and loving life again. How, by climbing off the hamster wheel and escaping The Busyness Delusion, you can take the easier, more certain route to turn your own business into one that does give you all 3Fs. It covers: Why the hustle method is seductive but flawed, and how to use a smarter approach Why most self-employed people unwittingly choose the hardest way to earn, and what the easier options are. How to overcome the biggest obstacle to a smarter business and better life. What financial security really means and how to achieve it quicker and more easily. How to get better results by applying a simple model of how the brain works to give you more control. How to eliminate your competition to make it easier to get better results. Providing a new framework, illustrated in clear diagrams and told through a compelling story, this book reveals why copying others creates the hamster wheel effect, and precisely what to do to have a business and life you deserve. This book nails the problem with most small businesses. The solutions are time-tested principles, for the first time pulled together in an original and enjoyable way that's easy to understand and implement. Dan Sager |
long math problem copy and paste: Spreadsheet Magic Pamela Lewis, 2006 Step-by-step instructions for using spreadsheets to teach students in kindergarten through sixth grade. Lessons cover a variety of subject areas: language arts, social studies, science, music, and mathematics. |
long math problem copy and paste: A Problem Seminar D.J. Newman, 2012-12-06 There was once a bumper sticker that read, Remember the good old days when air was clean and sex was dirty? Indeed, some of us are old enough to remember not only those good old days, but even the days when Math was/un(!), not the ponderous THEOREM, PROOF, THEOREM, PROOF, . . . , but the whimsical, I've got a good prob lem. Why did the mood change? What misguided educational philoso phy transformed graduate mathematics from a passionate activity to a form of passive scholarship? In less sentimental terms, why have the graduate schools dropped the Problem Seminar? We therefore offer A Problem Seminar to those students who haven't enjoyed the fun and games of problem solving. CONTENTS Preface v Format I Problems 3 Estimation Theory 11 Generating Functions 17 Limits of Integrals 19 Expectations 21 Prime Factors 23 Category Arguments 25 Convexity 27 Hints 29 Solutions 41 FORMAT This book has three parts: first, the list of problems, briefly punctuated by some descriptive pages; second, a list of hints, which are merely meant as words to the (very) wise; and third, the (almost) complete solutions. Thus, the problems can be viewed on any of three levels: as somewhat difficult challenges (without the hints), as more routine problems (with the hints), or as a textbook on how to solve it (when the solutions are read). Of course it is our hope that the book can be enjoyed on any of these three levels. |
long math problem copy and paste: An Introduction to Functional Programming Through Lambda Calculus Greg Michaelson, 2013-04-10 Well-respected text for computer science students provides an accessible introduction to functional programming. Cogent examples illuminate the central ideas, and numerous exercises offer reinforcement. Includes solutions. 1989 edition. |
long math problem copy and paste: Littlewood's Miscellany John Edensor Littlewood, 1986-10-30 Littlewood's Miscellany, which includes most of the earlier work as well as much of the material Professor Littlewood collected after the publication of A Mathematician's Miscellany, allows us to see academic life in Cambridge, especially in Trinity College, through the eyes of one of its greatest figures. The joy that Professor Littlewood found in life and mathematics is reflected in the many amusing anecdotes about his contemporaries, written in his pungent, aphoristic style. The general reader should, in most instances, have no trouble following the mathematical passages. For this publication, the new material has been prepared by Béla Bollobás; his foreword is based on a talk he gave to the British Society for the History of Mathematics on the occasion of Littlewood's centenary. |
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