Leonhard Euler Inspirational Quotes

I soon found an opportunity to be introduced to a famous professor Johann Bernoulli ... True, he was very busy and so refused flatly to give me private lessons; but he gave me much more valuable advice to start reading more difficult mathematical books on my own and to study them as diligently as I could; if I came across some obstacle or difficulty, I was given permission to visit him freely every Sunday afternoon and he kindly explained to me everything I could not understand ... ~ Leonhard Euler

After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential. ~ Leonhard Euler

Notable enough, however, are the controversies over the series 1 - 1 + 1 - 1 + 1 - ... whose sum was given by Leibniz as 1/2, although others disagree ... Understanding of this question is to be sought in the word "sum"; this idea, if thus conceived - namely, the sum of a series is said to be that quantity to which it is brought closer as more terms of the series are taken - has relevance only for convergent series, and we should in general give up the idea of sum for divergent series. ~ Leonhard Euler

For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear. ~ Leonhard Euler

Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate. ~ Leonhard Euler

Logic is the foundation of the certainty of all the knowledge we acquire. ~ Leonhard Euler

Read Euler, read Euler, he is the master of us all. ~ Pierre-Simon Laplace

But that would mean it was originally a sideways number eight. That makes no sense at all. Unless..." She paused as understanding dawned. "You think it was the symbol for infinity?"
"Yes, but not the usual one. A special variant. Do you see how one line doesn't fully connect in the middle? That's Euler's infinity symbol. Absolutus infinitus."
"How is it different from the usual one?"
"Back in the eighteenth century, there were certain mathematical calculations no one could perform because they involved series of infinite numbers. The problem with infinity, of course, is that you can't come up with a final answer when the numbers keep increasing forever. But a mathematician named Leonhard Euler found a way to treat infinity as if it were a finite number- and that allowed him to do things in mathematical analysis that had never been done before." Tom inclined his head toward the date stone. "My guess is whoever chiseled that symbol was a mathematician or scientist."
"If it were my date stone," Cassandra said dryly, "I'd prefer the entwined hearts. At least I would understand what it means."
"No, this is much better than hearts," Tom exclaimed, his expression more earnest than any she'd seen from him before. "Linking their names with Euler's infinity symbol means..." He paused, considering how best to explain it. "The two of them formed a complete unit... a togetherness... that contained infinity. Their marriage had a beginning and end, but every day of ~ Lisa Kleypas

It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success, did not leave us with the proofs of the theorems he discovered. In truth, Messrs Euler and Lagrange, who have not disdained this kind of research, have proved most of these theorems, and have even substituted extensive theories for the isolated propositions of Fermat. But there are several proofs which have resisted their efforts. ~ Adrien-Marie Legendre

Although to penetrate into the intimate mysteries of nature and thence to learn the true causes of phenomena is not allowed to us, nevertheless it can happen that a certain fictive hypothesis may suffice for explaining many phenomena. ~ Leonhard Euler

Nothing takes place in the world whose meaning is not that of some maximum or minimum. ~ Leonhard Euler

Now I will have less distraction. ~ Leonhard Euler

The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth; it is gained by induction, as we usually say. Yet we have seen cases in which mere induction led to error. Therefore, we should take great care not to accept as true such properties of the numbers which we have discovered by observation and which are supported by induction alone. Indeed, we should use such a discovery as an opportunity to investigate more exactly the properties discovered and to prove or disprove them; in both cases we may learn something useful. ~ Leonhard Euler

Transcendental [numbers], They transcend the power of algebraic methods. ~ Leonhard Euler

I have been able to solve a few problems of mathematical physics on which the greatest mathematicians since Euler have struggled in vain ... But the pride I might have held in my conclusions was perceptibly lessened by the fact that I knew that the solution of these problems had almost always come to me as the gradual generalization of favorable examples, by a series of fortunate conjectures, after many errors. I am fain to compare myself with a wanderer on the mountains who, not knowing the path, climbs slowly and painfully upwards and often has to retrace his steps because he can go no further - then, whether by taking thought or from luck, discovers a new track that leads him on a little till at length when he reaches the summit he finds to his shame that there is a royal road by which he might have ascended, had he only the wits to find the right approach to it. In my works, I naturally said nothing about my mistake to the reader, but only described the made track by which he may now reach the same heights without difficulty. ~ Hermann Von Helmholtz

If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus. ~ Leonhard Euler

A function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities. ~ Leonhard Euler

Love to live and live to love. ~ Debasish Mridha

To nourish your soul, see the beauty of nature and feel the love. ~ Debasish Mridha

If it's not the RIGHT thing to do it's something else! ~ Ruth Lizana-Jackson

My father quoted Shakespeare to me often and when I lay a book down with splayed pages he told me better to be cruel to animals, children even, but never so cruelly treat a book. ~ Christine Wade

If you don't want to cook, you should try throwing a dish. ~ Kyung-Sook Shin

There is some kind of a sweet innocence in being human- in not having to be just happy or just sad- in the nature of being able to be both broken and whole, at the same time. ~ C. JoyBell C.

If it is bread that you seek, you will have bread.
If it is the soul you seek, you will find the soul.
If you understand this secret, you know you are that which you seek. ~ Rumi

Love and kindness are a kind of gun that we can use to change everyone without hurting anyone. ~ Debasish Mridha

Making this a better world happens one person at a time. You cannot force your beliefs on anyone. Rather, be the example that others can emulate. Live your life so that others may be inspired by your words and deeds. That's how change happens. ~ Tom Giaquinto

There must be a season for everything that measures what success means to you, there must be a deliberately scheduled time slot for the things that are important to you. Wishing is not enough, deliberate plans followed by deliberate actions make it possible. ~ Archibald Marwizi

The pioneers and missionaries of religion have been the real cause of more trouble and war than all other classes of mankind. ~ Edgar Allan Poe

A bitter jest, when it comes too near the truth, leaves a sharp sting behind it. ~ Tacitus

Nearly everybody is looking for something brave to do. I don't know why people shouldn't write poetry. That's brave. ~ Robert Frost

It's only when you're at the bottom of the ladder that you ascend. ~ Gina Barreca

To know the will of God is the greatest knowledge! To do the will of God is the greatest achievement. ~ George W Truett

Between whom there is hearty truth there is love ... ~ Henry David Thoreau

Its not how far you fall, but , how far you bounce thats matter ~ Billi Lim

You are born to build the society, not to follow it. ~ Abhijit Naskar

We are, now, just as valuable, intelligent, and real as Eliot or any of his contemporaries. Our ideas and experiences are just as sound and true. Our passion to save our world from what we see it becoming is just as authentic. We are always the Lost Generation, but with different accoutrements. ~ Nate Ragolia

You are nothing but what you think. That is existentialism. ~ Debasish Mridha

If you keep little decisions small - then big decisions will even be smaller. ~ Art Hochberg