mathematics 6925 · 25 · 277 + 413 There is a slam-dunk case for extending foreign language teaching to children aged five. Just as some people have taken a perverse pride in not understanding mathematics, so we have taken a perverse pride in the fact that we do not speak foreign languages, and we just need to speak louder in English. Michael Gove + 404 Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality. Nikola Tesla + 318 I must study politics and war that my sons may have liberty to study mathematics and philosophy. John Adams + 330 I must study politics and war that my sons may have liberty to study mathematics and philosophy. John Adams + 331 I must study politics and war that my sons may have liberty to study mathematics and philosophy. John Adams + 277 Pure mathematics is, in its way, the poetry of logical ideas. Albert Einstein + 367 Our experience hitherto justifies us in trusting that nature is the realization of the simplest that is mathematically conceivable. I am convinced that purely mathematical construction enables us to find those concepts and those lawlike connections between them that provide the key to the understanding of natural phenomena. Useful mathematical concepts may well be suggested by experience, but in no way can they be derived from it. Experience naturally remains the sole criterion of the usefulness of a mathematical construction for physics. But the actual creative principle lies in mathematics. Thus, in a certain sense, I take it to be true that pure thought can grasp the real, as the ancients had dreamed. Albert Einstein + 308 I never failed in mathematics. Before I was fifteen I had mastered differential and integral calculus. Albert Einstein + 312 Do not worry about your difficulties in Mathematics. I can assure you mine are still greater. Albert Einstein + 283 As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality. + 368 In the judgment of the most competent living mathematicians, Fraulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began. In the realm of algebra, in which the most gifted mathematicians have been busy for centuries, she discovered methods which have proved of enormous importance in the development of the present-day younger generation of mathematicians. Pure mathematics is, in its way, the poetry of logical ideas. Albert Einstein, New York Times, May 1, 1935 + 397 Pure mathematics is, in its way, the poetry of logical ideas. One seeks the most general ideas of operation which will bring together in simple, logical and unified form the largest possible circle of formal relationships. In this effort toward logical beauty spiritual formulas are discovered necessary for the deeper penetration into the laws of nature. Albert Einstein + 385 Pure mathematics is, in its way, the poetry of logical ideas. One seeks the most general ideas of operation which will bring together in simple, logical and unified form the largest possible circle of formal relationships. In this effort toward logical beauty spiritual formulas are discovered necessary for the deeper penetration into the laws of nature. Albert Einstein + 309 Physics is essentially an intuitive and concrete science. Mathematics is only a means for expressing the laws that govern phenomena. Albert Einstein + 380 But we have higher mathematics, haven't we? This gives me freedom from my senses. The language of mathematics is even more inborn and universal than the language of music; a mathematical formula is crystal clear and independent of all sense organs. I therefore built a mathematical laboratory, set myself in it as if I were sitting in a car, and moved along with a beam of light. Albert Einstein + 304 Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality. Nikola Tesla + 309 Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality. Nikola Tesla + 154 Mathematics provides a compact and exact language used to describe of the order in nature. This was noted and advocated by Pythagoras, Plato, Galileo, and Newton. + 140 Physics uses mathematics to organise and formulate experimental results. + 146 Mathematics is the study of topics such as quantity, numbers, structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. + 130 Mathematics is essential in many fields, including natural science, engineering, medicine, finance and the social sciences. + 127 Applied mathematics has led to entirely new mathematical disciplines, such as statistics and game theory. + 145 Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind. There is no clear line separating pure and applied mathematics, and practical applications for what began as pure mathematics are often discovered. + 131 Trigonometry is the branch of mathematics that deals with relationships between the sides and the angles of triangles and with the trigonometric functions. + 157 Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is useful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including hydrodynamics and thermodynamics and also in engineering fields such as nuclear, aerospace, mechanical and electrical engineering.