**Mathematics** as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.

The land of easy **Mathematics** where he who works adds up and he who retires subtracts.

The subject of management science has evolved for more than 60 years and is now a mature field within the broad category of applied **Mathematics**. This book will emphasize both the applied and mathematical aspects of management science.

General Systems Theory is a name which has come into use to describe a level of theoretical model-building which lies somewhere between the highly generalized constructions of pure **Mathematics** and the specific theories of the specialized disciplines. **Mathematics** attempts to organize highly general relationships into a coherent system, a system however which does not have any necessary connections with the "real" world around us. It studies all thinkable relationships abstracted from any concrete situation or body of empirical knowledge.

**Mathematics** is the bold luxury of pure reason, one of the few that remain today.

In one word he told me the secret of success in **Mathematics**:
Plagiarize?only be sure always to call it please 'research'.

If you are receptive and humble, **Mathematics** will lead you by the hand. Again and again, when I have been at a loss how to proceed, I have just had to wait until I have felt the **Mathematics** led me by the hand. It has led me along an unexpected path, a path where new vistas open up, a path leading to new territory, where one can set up a base of operations, from which one can survey the surroundings and plan future progress.

Grattan-Guiness's uniformly interesting and valuable account of the interwoven development of logic and related fields of **Mathematics** . . . between 1870 and 1940 presents a significantly revised analysis of the history of the period. . . . [His] book is important because it supplies what has been lacking: a full account of the period from a primary mathematical perspective.

Discovery in **Mathematics** is not a matter of logic. It is rather the result of mysterious powers which no one understands, and in which unconscious recognition of beauty must play an important part. Out of an infinity of designs, a mathematician chooses one pattern for beauty's sake and pulls it down to earth.

Our future rates of gain will fall far short of those achieved in the past. Berkshire's capital base is now simply too large to allow us to earn truly outsized returns. If you believe otherwise, you should consider a career in sales but avoid one in **Mathematics** (bearing in mind that there are really only three kinds of people in the world: those who can count and those who can't).

It was an All-in-One and One-in-All of limitless being and self not merely a thing of one Space-Time continuum, but allied to the ultimate animating essence of existence's whole unbounded sweep the last, utter sweep which has no confines and which outreaches fancy and **Mathematics** alike. It was perhaps that which certain secret cults of earth have whispered of as YOG-SOTHOTH, and which has been a deity under other names; that which the crustaceans of Yuggoth worship as the Beyond-One, and which the vaporous brains of the spiral nebulae know by an untranslatable Sign...

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity . The activity of the intuition consists in making spontaneous judgements which are not the result of conscious trains of reasoning... The exercise of ingenuity in **Mathematics** consists in aiding the intuition through suitable arrangements of propositions, and perhaps geometrical figures or drawings.

[W]hen Galileo discovered he could use the tools of **Mathematics** and mechanics to understand the motion of celestial bodies, he felt, in the words of one imminent researcher, that he had learned the language in which God recreated the universe . Today we are learning the language in which God created life . We are gaining ever more awe for the complexity, the beauty , the wonder of God's most divine and sacred gift.

We can no more have exact religious thinking without theology, than exact mensuration and astronomy without **Mathematics**, or exact iron-making without chemistry ,

The course of study includes the teaching of English, **Mathematics**, mechanics, chemistry, physics, and drawing:;; designing, weaving, and manufacturing:;; dyeing, mechanical engineering; and metal working:;; building construction and wood.

The land of easy **Mathematics** where he who works adds up and he who retires subtracts.

The Greeks... discovered **Mathematics** and the art of deductive reasoning. Geometry, in particular, is a Greek invention, without which modern science would have been impossible.

The calculus was the first achievement of modern **Mathematics** and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern **Mathematics**; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking.

Saying “the **Mathematics** of uncertainty” is like saying “the chastity of sex” what is mathematized is no longer uncertain, and vice versa.

Let us suppose that we have set the problem of finding a solution to the equation This is a problem for which the Babylonians around 1700 BC found the excellent approximation ...This is the identical problem which Pythagoras asserted had no fractional solution and in whose honor he was supposed to have sacrificed a hecatomb of oxen the problem which caused the existentialist crisis in ancient Greek **Mathematics**. The exists (as the diagonal of the unit square); yet it does not exist (as a fraction)!

Theorems often tell us complex truths about the simple things, but only rarely tell us simple truths about the complex ones. To believe otherwise is wishful thinking or "**Mathematics** envy."

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