A quotes list created by Lee Sonogan
If you looking for a better understanding of all things mathematics, Leonhard from the 18th century is one person who has made a massive contribution. Maybe directly most known for the Euler–Lagrange equation used in physics today, the differential metrics of Euler’s Identity measures the beauty of numbers. Introducing the mere notations of relevant functions inside scientific language, it integrates natural logarithms (Euler’s Number). Meaning even back then solving time and growth problems were on these thinkers minds.
- Logic is the foundation of the certainty of all the knowledge we acquire. Leonhard Euler
- Nothing takes place in the world whose meaning is not that of some maximum or minimum. Leonhard Euler
- For the sake of brevity, we will always represent this number 2.718281828459… by the letter e. 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
- 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
- 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
- Madam, I have come from a country where people are hanged if they talk. Leonhard Euler
- 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. Leonhard Euler
- Transcendental [numbers], They transcend the power of algebraic methods. 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
- 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
- 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
- Thus you see, most noble Sir, how this type of solution to the Königsberg bridge problem bears little relationship to mathematics, and I do not understand why you expect a mathematician to produce it, rather than anyone else, for the solution is based on reason alone, and its discovery does not depend on any mathematical principle. Leonhard Euler
The polymath founder of the studies of graph theory and topology presented to the laymen, his further complex analysis crossed into so much more. Reformulating many of Issac Newton’s laws tears after, the rabbit hole never ends in the discovery of patterns that always unfold. These methods inspire me to improve on other’s work artistically while practising non-fiction ideas every time I re-read something.