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Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, highlighting the parallels between the two subjects. This is the first time both smooth and discrete Morse theory have been treated in a single volume. This makes the...

This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics...

Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education.This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers...

This is a brief history of the development of microscopy, from the use of beads and water droplets in ancient Greece, through the simple magnifying glass, to the modern compound microscope. The technology and optical theory are developed in a straightforward manner, and this leads to a description...

We are swamped with information and each day seems to bring new discoveries that must be considered. Never before in the history of science have so many scientists been as active as today. It has become a major problem for the expert just to keep up with the literature in his or her own field of research....

This book brings together in one volume fifteen discoveries that have had a major impact upon medical science and the practice of medicine but where the scientists involved have not been awarded a Nobel Prize. Its aim is to publicize the achievements of these lesser-known heroes of our time and thereby...

The book explains in a precise and complete manner how elementary particle physics has evolved over the past 50 years. The historical development of the ideas that have shaped our thinking about the ultimate constituents of matter is traced out. The author has been associated with some of the originators...

This is a textbook for a survey course in physics taught without mathematics, that also takes into account the social impact and influences from the arts and society. It combines physics, literature, history and philosophy from the dawn of human life to the 21st century. It will also be of interest to the general reader.

Why are some nations rich and others poor? Why do the citizens of some countries lead a happy, prosperous life while others struggle in terrible want? This book takes the reader through the eventful life journey of one of Singapore's best known economists and educators, Professor Lim Chong...

"This is a wonderful book, filled with problems and witty solutions, addressed to anyone interested in problem-solving. Elementary mathematics is used so that the reader can focus on the strategy. The reader will enjoy reading this book and trying to find their own strategies to arrive at the...

In a relatively brief but masterful recounting, Professor Ulf Lagerkvist traces the origins and seminal developments in the field of chemistry, highlighting the discoveries and personalities of the individuals who transformed the ancient myths of the Greeks, the musings of the alchemists, the mystique...

Léon Rosenfeld (1904–1974) was a remarkable, many-sided physicist of exceptional erudition. He was at the center of modern physics and was well-known as Niels Bohr's close collaborator and spokesman. Besides he reflected deeply on the history and philosophy of science and its social role from a...

Lydia has heard of long distance romances before but a romance in transit? That's a new one. High in the hills of Montana there isn't much work for an orphaned rancher's daughter and working the small diner in town is all the sheltered young woman has. Until the day Mickey O'Halloran and his...

Our book presents a unique and original viewpoint on natural and engineered systems. The authors' goal is to propose and explain core principles that govern the formation and function of simple and complex systems. Examples are drawn from a broad range of topics from common materials and manufactured...