Search Results: how-to-bake-pi-easy-recipes-for-understanding-complex-maths

Cakes, Custard and Category Theory

Easy Recipes for Understanding Complex Maths

Author: Eugenia Cheng

Publisher: N.A

ISBN: 9781781252888

Category:

Page: 320

View: 9787

Möbius bagels, Euclid's flourless chocolate cake and apple pi - this is maths, but not as you know it.In How to Bake Pi, mathematical crusader and star baker Eugenia Cheng has rustled up a batch of delicious culinary insights into everything from simple numeracy to category theory ('the mathematics of mathematics'), via Fermat, Poincaré and Riemann.Maths is much more than simultaneous equations and pr2 : it is an incredibly powerful tool for thinking about the world around us. And once you learn how to think mathematically, you'll never think about anything - cakes, custard, bagels or doughnuts; not to mention fruit crumble, kitchen clutter and Yorkshire puddings - the same way again.Stuffed with moreish puzzles and topped with a generous dusting of wit and charm, How to Bake Pi is a foolproof recipe for a mathematical feast.

How to Bake Pi

An Edible Exploration of the Mathematics of Mathematics

Author: Eugenia Cheng

Publisher: Basic Books

ISBN: 0465051693

Category: Mathematics

Page: 304

View: 5731

"Whimsical...rigorous and insightful." -- New York Times Book Review What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen. We learn how the béchamel in a lasagna can be a lot like the number five, and why making a good custard proves that math is easy but life is hard. At the heart of it all is Cheng's work on category theory, a cutting-edge "mathematics of mathematics," that is about figuring out how math works. Combined with her infectious enthusiasm for cooking and true zest for life, Cheng's perspective on math is a funny journey through a vast territory no popular book on math has explored before. So, what is math? Let's look for the answer in the kitchen.

Cakes, Custard and Category Theory

Easy Recipes for Understanding Complex Maths

Author: Eugenia Cheng

Publisher: N.A

ISBN: 9781781252871

Category: Mathematics

Page: 304

View: 9463

A curious cookbook for the mathematical omnivore - maths at its absolute tastiest.

Beyond Infinity

An expedition to the outer limits of the mathematical universe

Author: Eugenia Cheng

Publisher: Profile Books

ISBN: 1782830812

Category: Mathematics

Page: 204

View: 2957

SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

Ratio

The Simple Codes Behind the Craft of Everyday Cooking

Author: Michael Ruhlman

Publisher: Simon and Schuster

ISBN: 1416566120

Category: Cooking

Page: 272

View: 3306

Michael Ruhlman’s groundbreaking New York Times bestseller takes us to the very “truth” of cooking: it is not about recipes but rather about basic ratios and fundamental techniques that makes all food come together, simply. When you know a culinary ratio, it’s not like knowing a single recipe, it’s instantly knowing a thousand. Why spend time sorting through the millions of cookie recipes available in books, magazines, and on the Internet? Isn’t it easier just to remember 1-2-3? That’s the ratio of ingredients that always make a basic, delicious cookie dough: 1 part sugar, 2 parts fat, and 3 parts flour. From there, add anything you want—chocolate, lemon and orange zest, nuts, poppy seeds, cinnamon, cloves, nutmeg, almond extract, or peanut butter, to name a few favorite additions. Replace white sugar with brown for a darker, chewier cookie. Add baking powder and/or eggs for a lighter, airier texture. Ratios are the starting point from which a thousand variations begin. Ratios are the simple proportions of one ingredient to another. Biscuit dough is 3:1:2—or 3 parts flour, 1 part fat, and 2 parts liquid. This ratio is the beginning of many variations, and because the biscuit takes sweet and savory flavors with equal grace, you can top it with whipped cream and strawberries or sausage gravy. Vinaigrette is 3:1, or 3 parts oil to 1 part vinegar, and is one of the most useful sauces imaginable, giving everything from grilled meats and fish to steamed vegetables or lettuces intense flavor. Cooking with ratios will unchain you from recipes and set you free. With thirty-three ratios and suggestions for enticing variations, Ratio is the truth of cooking: basic preparations that teach us how the fundamental ingredients of the kitchen—water, flour, butter and oils, milk and cream, and eggs—work. Change the ratio and bread dough becomes pasta dough, cakes become muffins become popovers become crepes. As the culinary world fills up with overly complicated recipes and never-ending ingredient lists, Michael Ruhlman blasts through the surplus of information and delivers this innovative, straightforward book that cuts to the core of cooking. Ratio provides one of the greatest kitchen lessons there is—and it makes the cooking easier and more satisfying than ever.

How Mathematicians Think

Using Ambiguity, Contradiction, and Paradox to Create Mathematics

Author: William Byers

Publisher: Princeton University Press

ISBN: 9780691145990

Category: Mathematics

Page: 424

View: 4850

To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.

Complex Made Simple

Author: David C. Ullrich

Publisher: American Mathematical Soc.

ISBN: 0821844792

Category: Mathematics

Page: 489

View: 8818

Perhaps uniquely among mathematical topics, complex analysis presents the student with the opportunity to learn a thoroughly developed subject that is rich in both theory and applications. Even in an introductory course, the theorems and techniques can have elegant formulations. But for any of these profound results, the student is often left asking: What does it really mean? Where does it come from? In Complex Made Simple, David Ullrich shows the student how to think like an analyst. In many cases, results are discovered or derived, with an explanation of how the students might have found the theorem on their own. Ullrich explains why a proof works. He will also, sometimes, explain why a tempting idea does not work. Complex Made Simple looks at the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains.Ullrich also takes considerable care to discuss the modular group, modular function, and covering maps, which become important ingredients in his modern treatment of the often-overlooked original proof of the Big Picard Theorem. This book is suitable for a first-year course in complex analysis. The exposition is aimed directly at the students, with plenty of details included. The prerequisite is a good course in advanced calculus or undergraduate analysis.

Martha Stewart's Cooking School (Enhanced Edition)

Lessons and Recipes for the Home Cook

Author: Martha Stewart

Publisher: Potter/TenSpeed/Harmony

ISBN: 0307955036

Category: Cooking

Page: 514

View: 6208

This enhanced edition of Martha Stewart’s Cooking School includes 31 instructional step-by-step videos and hundreds of color photographs that demonstrate the fundamental cooking techniques that every home cook should know. Imagine having Martha Stewart at your side in the kitchen, teaching you how to hold a chef’s knife, select the very best ingredients, truss a chicken, make a perfect pot roast, prepare every vegetable, bake a flawless pie crust, and much more. In Martha Stewart’s Cooking School, you get just that: a culinary master class from Martha herself, with lessons for home cooks of all levels. Never before has Martha written a book quite like this one. Arranged by cooking technique, it’s aimed at teaching you how to cook, not simply what to cook. Delve in and soon you’ll be roasting, broiling, braising, stewing, sautéing, steaming, and poaching with confidence and competence. In addition to the techniques, you’ll find more than 200 sumptuous, all-new recipes that put the lessons to work, along with invaluable step-by-step photographs to take the guesswork out of cooking. You’ll also gain valuable insight into equipment, ingredients, and every other aspect of the kitchen to round out your culinary education. Featuring more than 500 gorgeous color photographs, Martha Stewart’s Cooking School is the new gold standard for everyone who truly wants to know his or her way around the kitchen.

The Art of Logic

How to Make Sense in a World that Doesn't

Author: Eugenia Cheng

Publisher: Profile Books

ISBN: 1782834427

Category: Mathematics

Page: N.A

View: 6224

Emotions are powerful. In newspaper headlines and on social media, they have become the primary way of understanding the world. But strong feelings make it more difficult to see the reality behind the rhetoric. In The Art of Logic, Eugenia Cheng shows how mathematical logic can help us see things more clearly - and know when politicians and companies are trying to mislead us. First Cheng explains how to use black-and-white logic to illuminate the world around us, giving us new insight into thorny political questions like public healthcare, Black Lives Matter and Brexit. Then she explains how logic and emotions, used side-by-side, can help us not only to be more rational individuals, but also to live more thoughtfully. Clear-sighted, revelatory and filled with useful real-life examples of logic and illogic at work, The Art of Logic is an essential guide to decoding modern life.

The Proof and the Pudding

What Mathematicians, Cooks, and You Have in Common

Author: Jim Henle

Publisher: Princeton University Press

ISBN: 1400865689

Category: Mathematics

Page: 176

View: 9533

Tie on your apron and step into Jim Henle's kitchen as he demonstrates how two equally savory pursuits—cooking and mathematics—have more in common than you realize. A tasty dish for gourmets of popular math, The Proof and the Pudding offers a witty and flavorful blend of mathematical treats and gastronomic delights that reveal how life in the mathematical world is tantalizingly similar to life in the kitchen. Take a tricky Sudoku puzzle and a cake that fell. Henle shows you that the best way to deal with cooking disasters is also the best way to solve math problems. Or take an L-shaped billiard table and a sudden desire for Italian potstickers. He explains how preferring geometry over algebra (or algebra over geometry) is just like preferring a California roll to chicken tikka masala. Do you want to know why playfulness is rampant in math and cooking? Or how to turn stinky cheese into an awesome ice cream treat? It’s all here: original math and original recipes plus the mathematical equivalents of vegetarianism, Asian fusion, and celebrity chefs. Pleasurable and lighthearted, The Proof and the Pudding is a feast for the intellect as well as the palate.

Conceptual Mathematics

A First Introduction to Categories

Author: F. William Lawvere,Stephen H. Schanuel

Publisher: Cambridge University Press

ISBN: 0521894859

Category: Mathematics

Page: 390

View: 5932

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning students and also to practising mathematical scientists. This book provides a skeleton key that makes explicit some concepts and procedures that are common to all branches of pure and applied mathematics. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by examples in these categories. This second edition provides links with more advanced topics of possible study. In the new appendices and annotated bibliography the reader will find concise introductions to adjoint functors and geometrical structures, as well as sketches of relevant historical developments.

Eat Your Math Homework

Author: Ann McCallum

Publisher: Charlesbridge

ISBN: 1607343029

Category: Juvenile Nonfiction

Page: 48

View: 5002

This collection of yummy recipes and fun math facts is sure to tempt taste buds and make you hungry for more. Explore patterns in nature while you chomp on Fibonacci Stack Sticks. Amaze your friends with delicious Variable Pizza Pi! Wash down your geometry assignment with some Milk and Tangram Cookies. Topics covered include probability, Fibonacci numbers, tessellations, variability, and more.

Cooking for Geeks

Real Science, Great Cooks, and Good Food

Author: Jeff Potter

Publisher: "O'Reilly Media, Inc."

ISBN: 149192814X

Category: Cooking

Page: 488

View: 6319

Why do we cook the way we do? Are you the innovative type, used to expressing your creativity instead of just following recipes? Do you want to learn to be a better cook or curious about the science behind what happens to food as it cooks? More than just a cookbook, Cooking for Geeks applies your curiosity to discovery, inspiration, and invention in the kitchen. Why do we bake some things at 350°F/175°C and others at 375°F/190°C? Why is medium-rare steak so popular? And just how quickly does a pizza cook if we overclock an oven to 1,000 F/540 C? Author and cooking geek Jeff Potter provides the answers to these questions and more, and offers his unique take on recipes -- from the sweet (a patent-violating chocolate chip cookie) to the savory (slow-cooked brisket). This book is an excellent and intriguing resource for anyone who enjoys cooking or wants to experiment in the kitchen. Discover what type of cook you are and calibrate your tools Learn about the important reactions in cooking, such as protein denaturation, Maillard reactions, and caramelization, and how they impact the foods we cook Gain firsthand insights from interviews with researchers, food scientists, knife experts, chefs, writers, and more, including author Harold McGee, TV personality Adam Savage, and chemist Hervé This

Yes, But Why? Teaching for Understanding in Mathematics

Author: Ed Southall

Publisher: SAGE

ISBN: 152641242X

Category: Education

Page: 336

View: 4875

This book sheds light on the hidden connections between everything in mathematics at school so teachers can explain it while fully understanding it themselves.

Closing the Gap

The Quest to Understand Prime Numbers

Author: Vicky Neale

Publisher: Oxford University Press

ISBN: 0191092436

Category: Mathematics

Page: 208

View: 2905

In 2013, a little known mathematician in his late 50s stunned the mathematical community with a breakthrough on an age-old problem about prime numbers. Since then, there has been further dramatic progress on the problem, thanks to the efforts of a large-scale online collaborative effort of a type that would have been unthinkable in mathematics a couple of decades ago, and the insight and creativity of a young mathematician at the start of his career. Prime numbers have intrigued, inspired and infuriated mathematicians for millennia. Every school student studies prime numbers and can appreciate their beauty, and yet mathematicians' difficulty with answering some seemingly simple questions about them reveals the depth and subtlety of prime numbers. Vicky Neale charts the recent progress towards proving the famous Twin Primes Conjecture, and the very different ways in which the breakthroughs have been made: a solo mathematician working in isolation and obscurity, and a large collaboration that is more public than any previous collaborative effort in mathematics and that reveals much about how mathematicians go about their work. Interleaved with this story are highlights from a significantly older tale, going back two thousand years and more, of mathematicians' efforts to comprehend the beauty and unlock the mysteries of the prime numbers.

How to Prove It

A Structured Approach

Author: Daniel J. Velleman

Publisher: Cambridge University Press

ISBN: 1139450972

Category: Mathematics

Page: N.A

View: 1295

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.

I'm Just Here for More Food

Food x Mixing + Heat = Baking

Author: Alton Brown

Publisher: Abrams

ISBN: 161312175X

Category: Cooking

Page: 336

View: 6197

Alton Brown explores the science behind breads, cakes, cookies, pies, and custards, explaining it in his own inimitable style. Recipes cover all the basics, from pie crust to funnel cake to cheese souffle. The book also contains appendices and equipment lists.

The Science of Good Cooking

Author: Cook's Illustrated

Publisher: America's Test Kitchen

ISBN: 1936493462

Category: Cooking

Page: 504

View: 6062

Master 50 simple concepts to ensure success in the kitchen. Unlock a lifetime of successful cooking with this groundbreaking new volume from the editors of Cook's Illustrated, the magazine that put food science on the map. Organized around 50 core principles our test cooks use to develop foolproof recipes, The Science of Good Cooking is a radical new approach to teaching the fundamentals of the kitchen. Fifty unique experiments from the test kitchen bring the science to life, and more than 400 landmark Cook's Illustrated recipes (such as Old-Fashioned Burgers, Classic Mashed Potatoes, andPerfect Chocolate Chip Cookies) illustrate each of the basic principles at work. These experiments range from simple to playful to innovative - showing you why you should fold (versus stir) batter for chewy brownies, why you whip egg whites with sugar, and why the simple addition of salt can make meat juicy. A lifetime of experience isn't the prerequisite for becoming a good cook; knowledge is. Think of this as an owner's manual for your kitchen.

The Magic of Math

Solving for x and Figuring Out Why

Author: Arthur Benjamin

Publisher: Basic Books

ISBN: 0465061621

Category: Mathematics

Page: 336

View: 6363

The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples—from ice cream scoops and poker hands to measuring mountains and making magic squares—this book empowers you to see the beauty, simplicity, and truly magical properties behind those formulas and equations that once left your head spinning. You'll learn the key ideas of classic areas of mathematics like arithmetic, algebra, geometry, trigonometry, and calculus, but you'll also have fun fooling around with Fibonacci numbers, investigating infinity, and marveling over mathematical magic tricks that will make you look like a math genius! A mathematician who is known throughout the world as the “mathemagician,” Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand. In The Magic of Math, Benjamin does more than just teach skills: with a tip of his magic hat, he takes you on as his apprentice to teach you how to appreciate math the way he does. He motivates you to learn something new about how to solve for x, because there is real pleasure to be found in the solution to a challenging problem or in using numbers to do something useful. But what he really wants you to do is be able to figure out why, for that's where you'll find the real beauty, power, and magic of math. If you are already someone who likes math, this book will dazzle and amuse you. If you never particularly liked or understood math, Benjamin will enlighten you and—with a wave of his magic wand—turn you into a math lover.

Basic Category Theory for Computer Scientists

Author: Benjamin C. Pierce,Benjamin C.. Pierce,Ierce Benjamin

Publisher: MIT Press

ISBN: 9780262660716

Category: Computers

Page: 100

View: 3586

Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial * Applications * Further Reading

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