Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills Princeton Science Library #ad - In the mid-eighteenth century, discussion, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, and even the occasional limerick. Princeton. Dr. Dr. Euler's fabulous formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.

# An Imaginary Tale: The Story of √-1 Princeton Science Library

Princeton University Press #ad - In an imaginary tale, paul nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number.The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. University Press Group Ltd. By the time of descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates.

In the first century, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but dismissed their square roots as nonsense. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics.

An Imaginary Tale: The Story of √-1 Princeton Science Library #ad - The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, including the application of complex numbers and functions to important problems, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, such as Kepler's laws of planetary motion and ac electrical circuits.

Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma.

# e: The Story of a Number Princeton Science Library

Princeton University Press #ad - e: The Story of a Number Princeton Science Library #ad - The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number.University Press Group Ltd. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

# A Most Elegant Equation: Euler’s Formula and the Beauty of Mathematics

Basic Books #ad - More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. An award-winning science writer introduces us to mathematics using the extraordinary equation that unites five of mathematics' most important numbersBertrand Russell wrote that mathematics can exalt "as surely as poetry.This is especially true of one equation: eipi + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. Called euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. The result is an ode to this magical field. It ties together everything from basic arithmetic to compound interest, trigonometry, the circumference of a circle, calculus, and even infinity.

A Most Elegant Equation: Euler’s Formula and the Beauty of Mathematics #ad - University Press Group Ltd. In david stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics.

# Euler's Pioneering Equation: The most beautiful theorem in mathematics

Oxford University Press #ad - University Press Group Ltd. Following a chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula. In 1988 the mathematical intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics.. Twenty-four theorems were listed and readers were invited to award each a 'score for beauty'. In 2004 physics world carried out a similar poll of 'greatest equations', and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The stanford mathematician keith devlin reflected the feelings of many in describing it as "like a Shakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence.

Euler's Pioneering Equation: The most beautiful theorem in mathematics #ad - What is it that makes euler's identity, and profound formula links together perhaps the five most important numbers in mathematics, eipi + 1 = 0, the square root of -1, the basis of our counting system; the concept of zero, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, and opened up the idea of negative numbers; Pi an irrational number, which was a major development in mathematics, associated with exponential growth and logarithms; and the imaginary number i, each associated with a story in themselves: the number 1, the basis for the measurement of circles; the exponential e, elegant, the basis of complex numbers.

While there were many worthy competitors, the winner was 'Euler's equation'.

# A History of Pi

St. Martin's Press #ad - The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.St martin s Griffin. University Press Group Ltd.

# No-Nonsense Classical Mechanics: A Student-Friendly Introduction

Independently published #ad - Nothing is introduced without a thorough motivation and it is always clear where each equation comes from. The book contains no fluff since unnecessary content quickly leads to confusion. Instead, it ruthlessly focuses on the fundamentals and makes sure you’ll understand them in detail. The primary focus on the readers’ needs is also visible in dozens of small features that you won’t find in any other textbookIn total, the book contains more than 100 illustrations that help you understand the most important concepts visually.In each chapter, you’ll find fully annotated equations and calculations are done carefully step-by-step. This makes it much easier to understand what’s going on in. St martin s Griffin. Whenever a concept is used that was already introduced previously there is a short sidenote that reminds you where it was first introduced and often recites the main points.

In addition, there are summaries at the beginning of each chapter that make sure you won’t get lost. Learning classical mechanics doesn’t have to be hardwhat if there was a way to learn classical mechanics without all the usual fluff? What if there were a book that allowed you to see the whole picture and not just tiny parts of it?Thoughts like this are the reason that No-Nonsense Classical Mechanics now exists.

No-Nonsense Classical Mechanics: A Student-Friendly Introduction #ad - What will you learn from this book?get to know all fundamental mechanics concepts — Grasp why we can describe classical mechanics using the Lagrangian formalism, the Newtonian formalism, or the Hamiltonian formalism and how these frameworks are connected. Learn to describe classical mechanics mathematically — Understand the meaning and origin of the most important equations: Newton's second law, the Euler-Lagrange equation and Hamilton's equations.

# Gamma: Exploring Euler's Constant Princeton Science Library

Princeton University Press #ad - Among the many constants that appear in mathematics, e, π, and i are the most familiar. St martin s Griffin. But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Sure to be popular with not only students and instructors but all math aficionados, centuries, Gamma takes us through countries, and works, lives, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis though no proof of either is offered! Introduced by the swiss mathematician leonhard euler 1707-1783, who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 +.

Gamma: Exploring Euler's Constant Princeton Science Library #ad - Up to 1/n, minus the natural logarithm of n--the numerical value being 05772156. Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics.

# Infinite Powers: How Calculus Reveals the Secrets of the Universe

Houghton Mifflin Harcourt #ad - By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew. University Press Group Ltd. St martin s Griffin. 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. To illuminate how calculus has helped bring into being our contemporary world. The washington postfrom 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, gps, we wouldn’t have cell phones, TV, 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.

Infinite Powers: How Calculus Reveals the Secrets of the Universe #ad - 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.

# Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

Plume #ad - St martin s Griffin. University Press Group Ltd. The definitive story of the Riemann Hypothesis, a fascinating and epic mathematical mystery that continues to challege the world. In 1859, a little-known thirty-two year old mathematician, bernhard Riemann, made a hypothesis while presenting a paper to the Berlin Academy titled “On the Number of Prime Numbers Less Than a Given Quantity.Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics #ad - Today, the riemann hyphothesis remains unsolved, after 150 years of careful research and exhaustive study, with a one-million-dollar prize earmarked for the first person to conquer it. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world.

Plume Books.

# Inside Interesting Integrals Undergraduate Lecture Notes in Physics

Springer #ad - St martin s Griffin. University Press Group Ltd. Every result is fully derived. Springer. Plume Books. What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future.Inside Interesting Integrals Undergraduate Lecture Notes in Physics #ad - This book is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. If you are fascinated by definite integrals, then this is a book for you.