The Power Of Calculus

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Infinite Powers

Steven Strogatz
Infinite Powers Book PDF

Author : Steven Strogatz
Publisher : Eamon Dolan Books
Page : 389 pages
File Size : 53,9 Mb
Release : 2019
Category : History
ISBN : 9781328879981

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Infinite Powers by Steven Strogatz Pdf

From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

The Joy of X

Steven Henry Strogatz
The Joy of X Book PDF

Author : Steven Henry Strogatz
Publisher : Houghton Mifflin Harcourt
Page : 333 pages
File Size : 44,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9780547517650

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The Joy of X by Steven Henry Strogatz Pdf

A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."

The Math Book

Clifford A. Pickover
The Math Book Book PDF

Author : Clifford A. Pickover
Publisher : Union Square + ORM
Page : 937 pages
File Size : 52,6 Mb
Release : 2011-09-27
Category : Mathematics
ISBN : 9781402797491

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The Math Book by Clifford A. Pickover Pdf

The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

Advanced Calculus

Lynn Harold Loomis,Shlomo Sternberg
Advanced Calculus Book PDF

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 53,5 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

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.

Learning Basic Calculus

Alexander Hahn
Learning Basic Calculus Book PDF

Author : Alexander Hahn
Publisher : Springer Science & Business Media
Page : 572 pages
File Size : 40,6 Mb
Release : 1998
Category : Mathematics
ISBN : 0387946063

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Learning Basic Calculus by Alexander Hahn Pdf

This introductory calculus text was developed by the author through his teaching of an honors calculus course at Notre Dame. The book develops calculus, as well as the necessary trigonometry and analytic geometry, from witin the relevant historical context, and yet it is not a textbook in the history of mathematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. Whhile emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject.

The Manga Guide to Calculus

Hiroyuki Kojima,Shin Togami,Co Ltd Becom
The Manga Guide to Calculus Book PDF

Author : Hiroyuki Kojima,Shin Togami,Co Ltd Becom
Publisher : No Starch Press
Page : 256 pages
File Size : 40,5 Mb
Release : 2009-08-01
Category : Mathematics
ISBN : 9781593272968

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The Manga Guide to Calculus by Hiroyuki Kojima,Shin Togami,Co Ltd Becom Pdf

Noriko is just getting started as a junior reporter for the Asagake Times. She wants to cover the hard-hitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye. In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor). Mr. Seki teaches Noriko how to: –Use differentiation to understand a function's rate of change –Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral –Integrate and differentiate trigonometric and other complicated functions –Use multivariate calculus and partial differentiation to deal with tricky functions –Use Taylor Expansions to accurately imitate difficult functions with polynomials Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus. This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan.

Change Is the Only Constant

Ben Orlin
Change Is the Only Constant Book PDF

Author : Ben Orlin
Publisher : Black Dog & Leventhal
Page : 320 pages
File Size : 47,6 Mb
Release : 2019-10-08
Category : Mathematics
ISBN : 9780316509060

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Change Is the Only Constant by Ben Orlin Pdf

The next book from Ben Orlin, the popular math blogger and author of the underground bestseller Math With Bad Drawings. Change Is The Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and wonderfully bad drawings. Change is the Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and memorably bad drawings. By spinning 28 engaging mathematical tales, Orlin shows us that calculus is simply another language to express the very things we humans grapple with every day -- love, risk, time, and most importantly, change. Divided into two parts, "Moments" and "Eternities," and drawing on everyone from Sherlock Holmes to Mark Twain to David Foster Wallace, Change is the Only Constant unearths connections between calculus, art, literature, and a beloved dog named Elvis. This is not just math for math's sake; it's math for the sake of becoming a wiser and more thoughtful human.

The Calculus Diaries

Jennifer Ouellette
The Calculus Diaries Book PDF

Author : Jennifer Ouellette
Publisher : Penguin
Page : 336 pages
File Size : 43,5 Mb
Release : 2010-08-31
Category : Mathematics
ISBN : 9781101459034

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The Calculus Diaries by Jennifer Ouellette Pdf

Kiss My Math meets A Tour of the Calculus Jennifer Ouellette never took math in college, mostly because she-like most people-assumed that she wouldn't need it in real life. But then the English-major-turned-award-winning-science-writer had a change of heart and decided to revisit the equations and formulas that had haunted her for years. The Calculus Diaries is the fun and fascinating account of her year spent confronting her math phobia head on. With wit and verve, Ouellette shows how she learned to apply calculus to everything from gas mileage to dieting, from the rides at Disneyland to shooting craps in Vegas-proving that even the mathematically challenged can learn the fundamentals of the universal language.

A Tour of the Calculus

David Berlinski
A Tour of the Calculus Book PDF

Author : David Berlinski
Publisher : Vintage
Page : 353 pages
File Size : 46,7 Mb
Release : 2011-04-27
Category : Mathematics
ISBN : 9780307789730

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A Tour of the Calculus by David Berlinski Pdf

Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review

Fundamentals of Calculus

Carla C. Morris,Robert M. Stark
Fundamentals of Calculus Book PDF

Author : Carla C. Morris,Robert M. Stark
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 46,8 Mb
Release : 2015-07-28
Category : Mathematics
ISBN : 9781119015314

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Fundamentals of Calculus by Carla C. Morris,Robert M. Stark Pdf

Features the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences An introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. Practical examples from a variety of subject areas are featured throughout each chapter and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension. In addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions The Derivative Using the Derivative Exponents and Logarithms Differentiation Techniques Integral Calculus Integrations Techniques Functions of Several Variables Series and Summations Applications to Probability Supplemented with online instructional support materials, Fundamentals of Calculus is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science.

Everyday Calculus

Oscar Fernandez
Everyday Calculus Book PDF

Author : Oscar Fernandez
Publisher : Princeton University Press
Page : 166 pages
File Size : 47,7 Mb
Release : 2017-03-07
Category : Mathematics
ISBN : 9780691175751

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Everyday Calculus by Oscar Fernandez Pdf

A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.

Calculus

Gilbert Strang
Calculus Book PDF

Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Page : 500 pages
File Size : 43,9 Mb
Release : 2017-09-14
Category : Mathematics
ISBN : 0980232759

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Calculus by Gilbert Strang Pdf

Gilbert Strang's clear, direct style and detailed, intensive explanations make this textbook ideal as both a course companion and for self-study. Single variable and multivariable calculus are covered in depth. Key examples of the application of calculus to areas such as physics, engineering and economics are included in order to enhance students' understanding. New to the third edition is a chapter on the 'Highlights of calculus', which accompanies the popular video lectures by the author on MIT's OpenCourseWare. These can be accessed from math.mit.edu/~gs.

Introduction to Calculus and Analysis II/1

Richard Courant,Fritz John
Introduction to Calculus and Analysis II 1 Book PDF

Author : Richard Courant,Fritz John
Publisher : Springer Science & Business Media
Page : 585 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642571497

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Introduction to Calculus and Analysis II/1 by Richard Courant,Fritz John Pdf

From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991

Discrete Calculus

Carlo Mariconda,Alberto Tonolo
Discrete Calculus Book PDF

Author : Carlo Mariconda,Alberto Tonolo
Publisher : Springer
Page : 659 pages
File Size : 49,8 Mb
Release : 2016-12-01
Category : Mathematics
ISBN : 9783319030388

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Discrete Calculus by Carlo Mariconda,Alberto Tonolo Pdf

This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums. Readers will find not only coverage of the basic elements of the subjects but also deep insights into a range of less common topics rarely considered within a single book, such as counting with occupancy constraints, a clear distinction between algebraic and analytical properties of formal power series, an introduction to discrete dynamical systems with a thorough description of Sarkovskii’s theorem, symbolic calculus, and a complete description of the Euler-Maclaurin formulas and their applications. Although several books touch on one or more of these aspects, precious few cover all of them. The authors, both pure mathematicians, have attempted to develop methods that will allow the student to formulate a given problem in a precise mathematical framework. The aim is to equip readers with a sound strategy for classifying and solving problems by pursuing a mathematically rigorous yet user-friendly approach. This is particularly useful in combinatorics, a field where, all too often, exercises are solved by means of ad hoc tricks. The book contains more than 400 examples and about 300 problems, and the reader will be able to find the proof of every result. To further assist students and teachers, important matters and comments are highlighted, and parts that can be omitted, at least during a first and perhaps second reading, are identified.

Inside Mathematics

Mike Goldsmith
Inside Mathematics Book PDF

Author : Mike Goldsmith
Publisher : Inside Mathematics
Page : 184 pages
File Size : 47,9 Mb
Release : 2018-10
Category : Science
ISBN : 1627951172

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Inside Mathematics by Mike Goldsmith Pdf

Think math is boring?Think again! Algebra to Calculus: Unlocking Math's Amazing Power tells the story of algebra and calculus to explore the surprising, fascinating and sometimes mind-boggling evolution of mathematics through the ages.How do you make a decision with numbers? You have to use a kind of math called Boolean algebra-it's a little strange because it only ever uses two numbers 1 or 0, and 1+1 always equals 1. Despite this weirdness, this algebra is used to create the nanoscale circuits in every microchip. Do you want to know more? Written to engage, entertain and enthuse readers young and old, Algebra to Calculus: Unlocking Math's Amazing Power takes an entirely new approach to the wonderful world of mathematics. Along the way, readers will meet with geniuses, such as Diophantus and Newton, who figured out how to turn math problems into general techniques that worked whatever the situation. Readers will not only learn how computer chips process their programs, but also how a smartphone knows where it is, what the link is between snowflakes, cannonballs and wine barrels, and how Carl Gauss figured out how to add up all the numbers between 1 and 100 in less than a minute-when he was just 10 years old! Algebra to Calculus: Unlocking Math's Amazing Power shows there is a lot more going on than just x + y = z.