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Mathematics is as much an art as a science. Thus to understand why we study the problems we do today we must examine the history of the subject. In this series of articles we will try to examine how the geometric concepts that are in use today evolved. (A note of warning: the ‘history’ here is more a personal view than a historian’s.) As in art, understanding is enhanced by doing. Readers are encouraged...
A naturally occurring organic compound has been chosen to illustrate (a) structure determination by chemical and spectroscopic methods, and (b) synthesis and chemical transformations.
Evolving patterns of matter and energy gave rise to the cosmos. The earth, itself a dynamic entity, is inhabited by living organisms that have a dialectical relationship with the world around them.
Language is usually credited with being the major factor in making humans so different from other higher animals. The fact that honey bees have a dance language that is unparalleled in the rest of the animal kingdom is therefore of great interest. Successful forager bees communicate information about the source of food discovered by them, to their sisters upon returning home. They do this by means...
The first part of this series covers the historical background to the subject of cosmology-the study of the structure and evolution of the whole universe. Ancient ideas, such as those of the Greeks, already show the beginnings of attempts to account for observations by natural laws, and to prove or disprove these by other observations. It needed the invention of the telescope and studies by scientists...
A carbocation can stabilize itself by a series of C-H and C-C shifts to reach the most stable form. Several examples are shown in which relatively strained systems upon such cationic rearrangements produce diamondoid systems.
The evergreen kokum tree found along the west coast of India is known not only for its beauty but also for its use as a condiment. Its economic and ecological potential make it ideally suited to the restoration of natural forests.
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