This little book makes serious math simple—with more than 120 laws, theorems, paradoxes, and more explained in jargon-free terms.The Little Book of Mathematical Principles provides simple, clear explanations for the principles, equations, paradoxes, laws, and theorems that form the basis of modern mathematics. It is a refreshingly engaging tour of Fibonacci numbers, Euclid's Elements, and Zeno's paradoxes, as well as other fundamental principles such as chaos theory, game theory, and the game of life.Renowned mathematics author Dr. Robert Solomon simplifies the ancient discipline of mathematics and provides fascinating answers to intriguing questions, such as: What is the greatest pyramid?, What is a perfect number?, and Is there a theory for stacking oranges? Read more

(This ebook contains a limited number of illustrations.)The ebook of the critically-acclaimed popular science book by a writer who is fast becoming a celebrity mathematician.Prime numbers are the very atoms of arithmetic. They also embody one of the most tantalising enigmas in the pursuit of human knowledge. How can one predict when the next prime number will occur? Is there a formula which could generate primes? These apparently simple questions have confounded mathematicians ever since the Ancient Greeks.In 1859, the brilliant German mathematician Bernard Riemann put forward an idea which finally seemed to reveal a magical harmony at work in the numerical landscape. The promise that these eternal, unchanging numbers would finally reveal their secret thrilled mathematicians around the world. Yet Riemann, a hypochondriac and a troubled perfectionist, never publicly provided a proof for his hypothesis and his housekeeper burnt all his personal papers on his death.Whoever cracks Riemann's hypothesis will go down in history, for it has implications far beyond mathematics. In business, it is the lynchpin for security and e-commerce. In science, it has critical ramifications in Quantum Mechanics, Chaos Theory, and the future of computing. Pioneers in each of these fields are racing to crack the code and a prize of $1 million has been offered to the winner. As yet, it remains unsolved.In this breathtaking book, mathematician Marcus du Sautoy tells the story of the eccentric and brilliant men who have struggled to solve one of the biggest mysteries in science. It is a story of strange journeys, last-minute escapes from death and the unquenchable thirst for knowledge. Above all, it is a moving and awe-inspiring evocation of the mathematician's world and the beauties and mysteries it contains. Read more

Essential Property Investment CalculationsOverviewLike any other form of investment, property investment is largely a numbers game. But there’s a big gap between the techniques used by individual investors in the residential buy-to-let market and the more disciplined, numbers-led approach used by professional real estate investors. Moreover, there is no single source of knowledge or wisdom that brings all these calculation techniques and metrics together in one place. This book aims to bridge this gap. It will teach you the property investment techniques and formalised metrics used by professional investors to assess property deals and manage their portfolios.Essential Property Investment Calculations is a guide to all the calculations, numerical techniques and metrics you need to know to take your property investing to the next level.Part OnePart One is all about the early stages of property investment and assessing property deals. It will teach you the property investment calculations you need to know to find, finance and close any property deal. You'll learn techniques used by property valuation experts and negotiation strategies you can use to close your next property deal.Part TwoPart Two is all about property management. It will teach you how to measure property returns, both on a property-by-property basis and at the total portfolio level. You'll learn all the property management KPIs you need to track and improve performance, how to quantify and manage key property investing risks and the five golden rules of portfolio building.Whether you're new to property investing or a seasoned professional, this book is a guide to the essential property investment and property management calculations you need to know.List of ChaptersPart One : Assessing a property dealChapter 1 - Rental yield calculationsChapter 2 - Stress testing deal cash flowChapter 3 - How to value residential propertyChapter 4 - Calculations for deal financingChapter 5 - Ten negotiation tips and tricksPart Two : Managing your property portfolioChapter 6 - Accounting for property investorsChapter 7 - How to measure your returnsChapter 8 - Property management KPIsChapter 9 - Portfolio risk managementChapter 10 - Golden rules of portfolio buildingAbout the AuthorRobert Heaton is a property investor, writer and qualified actuary.He blogs about property investment and property investing at his website. Read more

From one of the greatest minds in contemporary mathematics, Professor E.T. Bell, comes a witty, accessible, and fascinating look at the beautiful craft and enthralling history of mathematics.Men of Mathematics provides a rich account of major mathematical milestones, from the geometry of the Greeks through Newton’s calculus, and on to the laws of probability, symbolic logic, and the fourth dimension. Bell breaks down this majestic history of ideas into a series of engrossing biographies of the great mathematicians who made progress possible—and who also led intriguing, complicated, and often surprisingly entertaining lives. Never pedantic or dense, Bell writes with clarity and simplicity to distill great mathematical concepts into their most understandable forms for the curious everyday reader. Anyone with an interest in math may learn from these rich lessons, an advanced degree or extensive research is never necessary. Read more

Unlock the world of mathematics with this comprehensive guide designed specifically for adults eager to refresh their math skills. Whether you're revisiting math for personal development, academic pursuits, professional needs, or simply for the joy of learning, this guide covers everything from basic arithmetic to advanced calculus and beyond. Delve into a rich array of mathematical concepts, with clear, concise explanations and practical examples. This book serves as both a refresher and a progressive learning tool, helping you master essential math skills that can be applied in real-life scenarios.Key Features:- A progressive structure that builds from fundamental arithmetic to advanced topics.- Detailed explanations with real-world examples and applications.- Practice problems and exercises for each chapter to reinforce learning.- Clear, accessible language aimed at adult learners.- Comprehensive coverage from basic to advanced topics.What You Will Learn:- Master the basic arithmetic operations: addition, subtraction, multiplication, and division.- Understand foundational properties of numbers like commutative, associative, and distributive properties.- Work confidently with integers, whole numbers, and negative numbers.- Navigate fractions and mixed numbers, including addition, subtraction, multiplication, and division.- Convert between fractions and decimals and perform arithmetic operations with decimals.- Explore the world of rational numbers and simplify rational expressions.- Apply percentages to calculate percentage change and in various practical applications.- Solve ratio and proportion problems, and understand their significance in real-world scenarios.- Harness the power of exponents and powers, including applications in scientific notation.- Simplify radical expressions and apply the Pythagorean theorem.- Manipulate algebraic expressions, understand terms, coefficients, and variable manipulation.- Solve linear equations and inequalities, and grasp their graphical representations.- Analyze and graph linear functions, understanding slopes and intercepts.- Solve systems of linear equations using methods like substitution and elimination.- Perform operations with polynomials and understand their applications.- Factor polynomials using various techniques, including the quadratic formula.- Solve quadratic equations through factoring, completing the square, and using the quadratic formula.- Understand functions, function notation, and graphs.- Simplify and manipulate rational expressions and solve rational equations.- Explore irrational numbers and delve into examples like pi.- Understand exponential functions and their applications in growth and decay models.- Solve logarithmic functions and equations, and understand their properties.- Navigate the world of trigonometric ratios and functions, with practical applications.- Solve trigonometric equations and explore applications in periodic phenomena.- Discuss arithmetic and geometric sequences and series, with formulae for their sum.- Learn probability basics, understanding event likelihood, permutations, and combinations.- Delve into the fundamentals of statistics, including mean, median, mode, and standard deviation.- Explore descriptive and inferential statistics, including data set visualization and hypothesis testing.- Embark on a journey through geometry basics, angles, triangles, circles, and coordinate geometry.- Understand transformations and their applications in geometry.- Explore vectors, their magnitude, direction, and operations. Read more

This comprehensive guide covers the history and development of mathematics, from the Ancient Egyptians and Pythagoreans to key figures such as Galileo, Dodgson, Babbage and Lovelace through to contemporary work of the 21st century. It tells of the remarkable stories that have shaped mathematics and also features sections on how maths can be used to solve the mysteries of the universe, what the Prisoner's Dilemma is as well as Fermat's Last Theorem amongst many more.Accessible, well-informed and fully-illustrated, this is a book that shows perfectly just how varied and fascinating mathematics is as a subject. Read more

Bestselling author and worst-drawing artist Ben Orlin expands his oeuvre with this interactive collection of mathematical games. With 70-plus games, each taking a minute to learn and a lifetime to master, this treasure trove will delight, educate, and entertain.From beloved math popularizer Ben Orlin comes a masterfully compiled collection of dozens of playable mathematical games.This ultimate game chest draws on mathematical curios, childhood classics, and soon-to-be classics, each hand-chosen to be (1) fun, (2) thought-provoking, and (3) easy to play. With just paper, pens, and the occasional handful of coins, you and a partner can enjoy hours of fun—and hours of challenge.Orlin’s sly humor, expansive knowledge, and so-bad-they’re-good drawings show us how simple rules summon our best thinking.Games include: Ultimate Tic-Tac-ToeSproutsBattleshipQuantum Go FishDots and BoxesBlack HoleOrder and ChaosSequenciumPaper BoxingPropheciesArpeggiosBankerFrancoprussian LabyrinthCats and DogsAnd many more. Read more

The Hidden Mathematics of Sport takes a novel and intriguing look at sport, byexploring the mathematics behind the action. Discover the best tactics for takinga penalty, the pros and cons of being a consistent golfer, the surprising linkbetween boxing and figure skating, the unusual location of England's earliest'football' game (in a parish church), and the formula for always winning a gameof tennis. Whatever your sporting interests, you will find plenty to absorb andamuse you in this entertaining and unique book – and maybe you will even findsome new strategies for beating the odds. Read more

Learn how to calculate your chances with easy-to-understand explanations of probabilityProbability—the likelihood or chance of an event occurring—is an important branch of mathematics used in business and economics, finance, engineering, physics, and beyond. We see probability at work every day in areas such as weather forecasting, investing, and sports betting. Packed with real-life examples and mathematical problems with thorough explanations, Probability For Dummies helps students, professionals, and the everyday reader learn the basics. Topics include set theory, counting, permutations and combinations, random variables, conditional probability, joint distributions, conditional expectations, and probability modeling. Pass your probability class and play your cards right, with this accessible Dummies guide. Understand how probability impacts daily lifeDiscover what counting rules are and how to use themPractice probability concepts with sample problems and explanationsGet clear explanations of all the topics in your probability or statistics classProbability For Dummies is the perfect Dummies guide for college students, amateur and professional gamblers, investors, insurance professionals, and anyone preparing for the actuarial exam. Read more

A comprehensive guide to statistics—with information on collecting, measuring, analyzing, and presenting statistical data—continuing the popular 101 series. Data is everywhere. In the age of the internet and social media, we’re responsible for consuming, evaluating, and analyzing data on a daily basis. From understanding the percentage probability that it will rain later today, to evaluating your risk of a health problem, or the fluctuations in the stock market, statistics impact our lives in a variety of ways, and are vital to a variety of careers and fields of practice. Unfortunately, most statistics text books just make us want to take a snooze, but with Statistics 101, you’ll learn the basics of statistics in a way that is both easy-to-understand and apply. From learning the theory of probability and different kinds of distribution concepts, to identifying data patterns and graphing and presenting precise findings, this essential guide can help turn statistical math from scary and complicated, to easy and fun. Whether you are a student looking to supplement your learning, a worker hoping to better understand how statistics works for your job, or a lifelong learner looking to improve your grasp of the world, Statistics 101 has you covered. Read more

Struggling with math? Are numbers your #1 enemy?Learn the EXACT thinking tools the top mathematicians use to utilize their math skills in real life and radically change how you shop, save, and think!Achieve your full potential with unlocking your mathematical mind – even if you think you don’t have one.Math is taught in a dull, authoritarian, and limited way. You either know how to do the Pythagorean theorem or you don’t. But there is SO MUCH more to math than mere calculus and geometry. It pervades almost every life aspect – from how your insurance premium is calculated to the deal you should choose on Black Friday.Don’t let numbers get in your way to succeed in life. You CAN do math – without the formulas.Learn to assess information in a logical manner, understand the real connection between risk and probability, make calculated decisions – no hardcore math involved. Mathematical Thinking – For People Who Hate Math provides a new way of looking at the world.Unlock life-changing ideas and use them to make better and more informed decisions. Express yourself in a precise and concise manner using the language of math.Learn how turning your focus off can help solve challenging problems.How to turn risk and probability to your advantage... mathematically.Manage test anxiety like a pro.A math manual you'll actually love to read, with research-backed examples for faster learning and greater everyday impact. Albert Rutherford is an internationally bestselling author whose writing derives from various sources, such as research, coaching, academic and real-life experience.Thinking mathematically is not the same as doing math. Discover the underlying, everyday utility of math they don’t teach you in school. Read more

Despite the increasing use of computers, the basic need for mathematical tables continues. Tables serve a vital role in preliminary surveys of problems before programming for machine operation, and they are indispensable to thousands of engineers and scientists without access to machines. Because of automatic computers, however, and because of recent scientific advances, a greater variety of functions and a higher accuracy of tabulation than have been available until now are required. In 1954, a conference on mathematical tables, sponsored by M.I.T. and the National Science Foundation, met to discuss a modernization and extension of Jahnke and Emde's classical tables of functions. This volume, published 10 years later by the U.S. Department of Commerce, is the result. Designed to include a maximum of information and to meet the needs of scientists in all fields, it is a monumental piece of work, a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems. The book contains 29 sets of tables, some to as high as 20 places: mathematical constants; physical constants and conversion factors (6 tables); exponential integral and related functions (7); error function and Fresnel integrals (12); Bessel functions of integer (12) and fractional (13) order; integrals of Bessel functions (2); Struve and related functions (2); confluent hypergeometric functions (2); Coulomb wave functions (2); hypergeometric functions; Jacobian elliptic and theta functions (2); elliptic integrals {9); Weierstrass elliptic and related functions; parabolic cylinder functions {3); Mathieu functions (2); spheroidal wave functions (5); orthogonal polynomials (13); combinatorial analysis (9); numerical interpolation, differentiation and integration (11); probability functions (ll); scales of notation (6); miscellaneous functions (9); Laplace transforms (2); and others. Each of these sections is prefaced by a list of related formulas and graphs: differential equations, series expansions, special functions, and other basic relations. These constitute an unusually valuable reference work in themselves. The prefatory material also includes an explanation of the numerical methods involved in using the tables that follow and a bibliography. Numerical examples illustrate the use of each table and explain the computation of function values which lie outside its range, while the editors' introduction describes higher-order interpolation procedures. Well over100 figures illustrate the text. In all, this is one of the most ambitious and useful books of its type ever published, an essential aid in all scientific and engineering research, problem solving, experimentation and field work. This contains every page of the original government publication.   Read more

Continue your statistics journey with this all-encompassing reference Completed Statistics through standard deviations, confidence intervals, and hypothesis testing? Then you’re ready for the next step: Statistics II. And there’s no better way to tackle this challenging subject than with Statistics II For Dummies! Get a brief overview of Statistics I in case you need to brush up on earlier topics, and then dive into a full explanation of all Statistic II concepts, including multiple regression, analysis of variance (ANOVA), Chi-square tests, nonparametric procedures, and analyzing large data sets. By the end of the book, you’ll know how to use all the statistics tools together to create a great story about your data. For each Statistics II technique in the book, you get an overview of when and why it’s used, how to know when you need it, step-by-step directions on how to do it, and tips and tricks for working through the solution. You also find:  What makes each technique distinct and what the results say How to apply techniques in real life An interpretation of the computer output for data analysis purposes Instructions for using Minitab to work through many of the calculations Practice with a lot of examples With Statistics II For Dummies, you will find even more techniques to analyze a set of data. Get a head start on your Statistics II class, or use this in conjunction with your textbook to help you thrive in statistics!  Read more

The ideal portable companion, the world-renowned Collins Gem series returns with a fresh new look and updated material.This is the perfect pocket guide for keen birdwatchers and nature enthusiasts to identify the most commonly seen species in Britain and Europe.Authoritative text and beautiful photographs show the distinguishing features of each bird, including notes on appearance, colour and distinctive features, and information on juveniles, range and habitat, nests, call and breeding sites.In addition, an extensive introduction covers general information on plumage, habitats and migration, and gives first-time birdwatchers advice on what equipment to buy and where to go to spot the most desirable species.This new edition builds on the strengths of the unrivalled original, covering over 200 species of bird found in Britain and Europe. Read more

The ideal portable companion, the world-renowned Collins Gem series returns with a fresh new look and updated material.This is the perfect pocket guide for nature enthusiasts keen to identify the most commonly seen butterflies and moths in Britain and northern Europe.Authoritative text, beautiful photographs and detailed illustrations show the distinguishing features of each butterfly and moth to aid identification.Features information on size, habitat, geographical range and months when they can be spotted, as well as names of similar species with which each butterfly or moth could be confused, and details of the differences between them.This new edition builds on the strengths of the unrivalled original, now expanded to include over 240 butterflies and moths. Read more

Basic Mathematics teaches you all the maths you need for everyday situations. If you are terrified by maths, this is the book for you.Do you shy away from using numbers? Basic Mathematics can help. An easy-to-follow guide, it will ensure you gain the confidence you need to tackle maths and overcome your fears. It offers simple explanations of all the key areas, including decimals, percentages, measurements and graphs, and applies them to everyday situations, games and puzzles to help you understand mathematics quickly and enjoyably.Everything you need is here in this one book. Each chapter includes clear explanations, worked examples and test questions. At the end of the book there are challenges and games to give you new and interesting ways to practise your new skills. Read more

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike. Read more

The bestselling author of Fermat’s Last Theorem and The Code Book tells the story of the brilliant minds that deciphered the mysteries of the Big Bang. A fascinating exploration of the ultimate question: how was our universe created?Albert Einstein once said: ‘The most incomprehensible thing about the universe is that it is comprehensible.’ Simon Singh believes geniuses like Einstein are not the only people able to grasp the physics that govern the universe. We all can.As well as explaining what the Big Bang theory actually is and why cosmologists believe it is an accurate description of the origins of the universe, this book is also the fascinating story of the scientists who fought against the established idea of an eternal and unchanging universe. Simon Singh, renowned for making difficult ideas much less daunting than they first seem, is the perfect guide for this journey.Everybody has heard of the Big Bang Theory. But how many of us can actually claim to understand it? With characteristic clarity and a narrative peppered with anecdotes and personal histories of those who have struggled to understand creation, Simon Singh has written the story of the most important theory ever. Read more

The math book for anyone who thinks they hate math, full of easy, entertaining and practical tricks for mentally solving problems in seconds.No matter how much you might try to avoid numbers, we all use math every day to calculate a tip, figure out an interest rate, or estimate the cost of the groceries in your cart. But the good news is, math can be easy—and even fun—if you know how to do it all in your head.With these simple and downright magical math tricks, you can do everyday math faster than it takes to dig out your phone and find the calculator app. Step-by-step and easy-to-memorize directions show more than 125 math operations anyone can do in their head.Plus, it features do-it-yourself math projects, puzzles, and a bonus section for advanced mathophiles. Get ready to tackle problems such as . . .• How to easily square any number • How to add three-digit numbers • How to use a mirror to measure the height of a building • How to make a ruler out of a dollar bill • How to use geometry to paint walls, cut floor tiling, and do other home renovations • How to subtract numbers . . . by adding And lots more . . . No calculator required. Read more

The 1914 version of "Calculus Made Easy" is celebrated for its clarity, engaging style, and focus on essential concepts, making it a timeless resource for learning calculus. Its historical and cultural significance, combined with Thompson’s original pedagogical approach, makes it a preferred choice for many learners and educators.This Second Edition includesEnlarged and easier to readHistory of the authorAdditional examples and exercisesThompson's approach reflects the educational philosophy of the early 20th century, which emphasized teaching by understanding rather than rote memorization. This historical perspective can be refreshing compared to some modern texts.The book is a valuable resource for anyone looking to learn the basics of calculus in an easy-to-understand format. Its practical examples, clear explanations, and focus on fundamental concepts make it an enduring classic in mathematical education.The problems and examples used are classic and time-tested, providing a good historical sense of the subject. Read more