Introduction to Real Analysis


Robert G. Bartle - 1982
    Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.

Law, Legislation and Liberty, Volume 1: Rules and Order


Friedrich A. Hayek - 1973
    A. Hayek's comprehensive three-part study of the relations between law and liberty. Rules and Order constructs the framework necessary for a critical analysis of prevailing theories of justice and of the conditions which a constitution securing personal liberty would have to satisfy.

A New Kind of Science


Stephen Wolfram - 1997
    Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems. On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day. Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton

Networks, Crowds, and Markets


David Easley - 2010
    This connectedness is found in many incarnations: in the rapid growth of the Internet, in the ease with which global communication takes place, and in the ability of news and information as well as epidemics and financial crises to spread with surprising speed and intensity. These are phenomena that involve networks, incentives, and the aggregate behavior of groups of people; they are based on the links that connect us and the ways in which our decisions can have subtle consequences for others. This introductory undergraduate textbook takes an interdisciplinary look at economics, sociology, computing and information science, and applied mathematics to understand networks and behavior. It describes the emerging field of study that is growing at the interface of these areas, addressing fundamental questions about how the social, economic, and technological worlds are connected.

Game Theory


Drew Fudenberg - 1991
    The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.--mitpress.mit.edu

Gaming the Vote: Why Elections Aren't Fair (and What We Can Do About It)


William Poundstone - 2008
    presidential elections have been won by the second most popular candidate. The reason was a "spoiler"--a minor candidate who takes enough votes away from the most popular candidate to tip the election to someone else. The spoiler effect is more than a glitch. It is a consequence of one of the most surprising intellectual discoveries of the twentieth century: the "impossibility theorem" of Nobel laureate economist Kenneth Arrow. The impossibility theorem asserts that voting is fundamentally unfair--a finding that has not been lost on today's political consultants. Armed with polls, focus groups, and smear campaigns, political strategists are exploiting the mathematical faults of the simple majority vote. In recent election cycles, this has led to such unlikely tactics as Republicans funding ballot drives for Green spoilers and Democrats paying for right-wing candidates' radio ads. Gaming the Vote shows that there is a solution to the spoiler problem that will satisfy both right and left. A systemcalled range voting, already widely used on the Internet, is the fairest voting method of all, according to computer studies. Despite these findings, range voting remains controversial, and Gaming the Vote assesses the obstacles confronting any attempt to change the American electoral system. The latest of several books by William Poundstone on the theme of how important scientific ideas have affected the real world, Gaming the Vote is a wry exposé of how the political system really works, and a call to action.

The Lean Startup / Zero to One / 7 Habits of Highly Effective People


Eric Ries
    Description:- The Lean Startup: How Constant Innovation Creates Radically Successful Businesses The Lean Startup is a new approach to business that's being adopted around the world. It is changing the way companies are built and new products are launched.The Lean Startup is about learning what your customers really want. It's about testing your vision continuously, adapting and adjusting before it's too late. Zero to One: Notes on Start Ups, or How to Build the Future The next Bill Gates will not build an operating system. The next Larry Page or Sergey Brin won’t make a search engine. If you are copying these guys, you aren’t learning from them. It’s easier to copy a model than to make something new: doing what we already know how to do takes the world from 1 to n, adding more of something familiar. Every new creation goes from 0 to 1. This book is about how to get there. The 7 Habits of Highly Effective People In THE 7 HABITS OF HIGHLY EFFECTIVE PEOPLE Stephen R. Covey presents a holistic, integrated, principle-centred approach for solving personal and professional problems. With penetrating insights and pointed anecdotes, Covey reveals a step-by-step pathway for living with fairness, integrity, honesty and human dignity - principles that give us the security to adapt to change, and the wisdom and power to take advantage of the opportunities that change creates. 'Fundamentals are the key to success. Stephen Covey is the master of them. Buy his book, but most importantly, use it!' - Anthony Robbins, author of UNLIMITED POWER.

Finance for Nonfinancial Managers


Murugesan Ramaswamy - 2015
    Financial & Accounting jargon is used only where it is required and they are well explained.This book will enable you take business decisions with financial prudence.

75 Worksheets for Daily Math Practice: Addition, Subtraction, Multiplication, Division: Maths Workbook


Kapoo Stem - 2014
    There is one worksheet for each type of math problem including different digits with operations of addition, subtraction, multiplication and division. These varying level of mathematical ability activities help in improving adding, subtracting, multiplying and dividing operation skills of the student by frequent practicing of the worksheets provided.There is nothing more effective than a pencil and paper for practicing some math skills. These math worksheets are ideal for teachers, parents, students, and home schoolers. The companion ebook allows you to take print outs of these worksheets instantly or you can save them for later use. The learner can significantly improve math knowledge by developing a simple habit to daily practice the math drills.Tutors and homeschoolers use the maths worksheets to test and measure the child's mastery of basic math skills. These math drill sheets can save you precious planning time when homeschooling as you can use these work sheets to give extra practice of essential math skills. Parents use these mathematics worksheets for their kids homework practice too.Designed for after school study and self study, it is used by homeschooler, special needs and gifted kids to add to the learning experience in positive ways. You can also use the worksheets during the summer to get your children ready for the upcoming school term. It helps your child excel in school as well as in building good study habits. If a workbook or mathematic textbook is not allowing for much basic practise, these sheets give you the flexibility to follow the practice that your student needs for an education curriculum.These worksheets are not designed to be grade specific for students, rather depend on how much practice they've had at the skill in the past and how the curriculum in your school is organized. Kids work at their own level and their own pace through these activities. The learner can practice one worksheet a day, two worksheets a day, one every alternate day, one per week, two per week or can follow any consistent pattern. Make best use of your judgement.

An Introduction to Statistical Learning: With Applications in R


Gareth James - 2013
    This book presents some of the most important modeling and prediction techniques, along with relevant applications. Topics include linear regression, classification, resampling methods, shrinkage approaches, tree- based methods, support vector machines, clustering, and more. Color graphics and real-world examples are used to illustrate the methods presented. Since the goal of this textbook is to facilitate the use of these statistical learning techniques by practitioners in science, industry, and other fields, each chapter contains a tutorial on implementing the analyses and methods presented in R, an extremely popular open source statistical software platform. Two of the authors co-wrote The Elements of Statistical Learning (Hastie, Tibshirani and Friedman, 2nd edition 2009), a popular reference book for statistics and machine learning researchers. An Introduction to Statistical Learning covers many of the same topics, but at a level accessible to a much broader audience. This book is targeted at statisticians and non-statisticians alike who wish to use cutting-edge statistical learning techniques to analyze their data. The text assumes only a previous course in linear regression and no knowledge of matrix algebra.

Microeconomics and Behavior


Robert H. Frank - 1990
    This book features examples that help students develop economic intuition. It also introduces modern topics and focuses on developing a student's capacity to think like an economist.

Essentials of Econometrics


Damodar N. Gujarati - 1998
    This text provides a simple and straightforward introduction to econometrics for the beginner. The book is designed to help students understand econometric techniques through extensive examples, careful explanations, and a wide variety of problem material. In each of the editions, I have tried to incorporate major developments in the field in an intuitive and informative way without resort to matrix algebra, calculus, or statistics beyond the introductory level. The fourth edition continues that tradition.

The Colossal Book of Mathematics


Martin Gardner - 2001
    Gardner's array of absorbing puzzles and mind-twisting paradoxes opens mathematics up to the world at large, inspiring people to see past numbers and formulas and experience the application of mathematical principles to the mysterious world around them. With articles on topics ranging from simple algebra to the twisting surfaces of Mobius strips, from an endless game of Bulgarian solitaire to the unreachable dream of time travel, this volume comprises a substantial and definitive monument to Gardner's influence on mathematics, science, and culture.In its twelve sections, The Colossal Book of Math explores a wide range of areas, each startlingly illuminated by Gardner's incisive expertise. Beginning with seemingly simple topics, Gardner expertly guides us through complicated and wondrous worlds: by way of basic algebra we contemplate the mesmerizing, often hilarious, linguistic and numerical possibilities of palindromes; using simple geometry, he dissects the principles of symmetry upon which the renowned mathematical artist M. C. Escher constructs his unique, dizzying universe. Gardner, like few thinkers today, melds a rigorous scientific skepticism with a profound artistic and imaginative impulse. His stunning exploration of "The Church of the Fourth Dimension," for example, bridges the disparate worlds of religion and science by brilliantly imagining the spatial possibility of God's presence in the world as a fourth dimension, at once "everywhere and nowhere."With boundless wisdom and his trademark wit, Gardner allows the reader to further engage challenging topics like probability and game theory which have plagued clever gamblers, and famous mathematicians, for centuries. Whether debunking Pascal's wager with basic probability, making visual music with fractals, or uncoiling a "knotted doughnut" with introductory topology, Gardner continuously displays his fierce intelligence and gentle humor. His articles confront both the comfortingly mundane—"Generalized Ticktacktoe" and "Sprouts and Brussel Sprouts"—and the quakingly abstract—"Hexaflexagons," "Nothing," and "Everything." He navigates these staggeringly obscure topics with a deft intelligence and, with addendums and suggested reading lists, he informs these classic articles with new insight.Admired by scientists and mathematicians, writers and readers alike, Gardner's vast knowledge and burning curiosity reveal themselves on every page. The culmination of a lifelong devotion to the wonders of mathematics, The Colossal Book of Mathematics is the largest and most comprehensive math book ever assembled by Gardner and remains an indispensable volume for the amateur and expert alike.

Cybernetics: or the Control and Communication in the Animal and the Machine


Norbert Wiener - 1948
    It is a ‘ must’ book for those in every branch of science . . . in addition, economists, politicians, statesmen, and businessmen cannot afford to overlook cybernetics and its tremendous, even terrifying implications. "It is a beautifully written book, lucid, direct, and despite its complexity, as readable by the layman as the trained scientist." -- John B. Thurston, "The Saturday Review of Literature" Acclaimed one of the "seminal books . . . comparable in ultimate importance to . . . Galileo or Malthus or Rousseau or Mill," "Cybernetics" was judged by twenty-seven historians, economists, educators, and philosophers to be one of those books published during the "past four decades", which may have a substantial impact on public thought and action in the years ahead." -- Saturday Review

A Brief Introduction to Black Money


R. Vaidyanathan - 2017
    The debate has been mostly marked by mud-slinging and name-calling and the debates that have ensued often have no basis in fact. While most people have a hazy notion of black money, only a few are able to unpack the concept to reveal its various shades.In this e-single, which is part of a larger, ongoing work, Prof. R. Vaidyanathan provides the reader with a brief overview of black money—its generation, its estimates and how and why it is spirited away to tax havens. This is a unique, timely work that packs in much information and offers a 360-degree view of the issue.Prof. R. Vaidyanathan recently retired from IIM, Bangalore as Professor of Finance. He is now Cho S Ramaswamy Visiting Professor of Public Policy at Sastra University, Thanjavur.