Reading the Shape of Nature vividly recounts the turbulent early history of the Museum of Comparative Zoology at Harvard and the contrasting careers of its founder Louis Agassiz and his son Alexander. Through the story of this institution and the individuals who formed it, Mary P. Winsor explores the conflicting forces that shaped systematics in the second half of the nineteenth century. Debates over the philosophical foundations of classification, details of taxonomic research, the young institution's financial struggles, and the personalities of the men most deeply involved are all brought to life. In 1859, Louis Agassiz established the Museum of Comparative Zoology to house research on the ideal types that he believed were embodied in all living forms. Agassiz's vision arose from his insistence that the order inherent in the diversity of life reflected divine creation, not organic evolution. But the mortar of the new museum had scarcely dried when Darwin's Origin was published. By Louis Agassiz's death in 1873, even his former students, including his son Alexander, had defected to the evolutionist camp. Alexander, a self-made millionaire, succeeded his father as director and introduced a significantly different agenda for the museum. To trace Louis and Alexander's arguments and the style of science they established at the museum, Winsor uses many fascinating examples that even zoologists may find unfamiliar. The locus of all this activity, the museum building itself, tells its own story through a wonderful series of archival photographs.

Reading the Shape of Nature vividly recounts the turbulent early history of the Museum of Comparative Zoology at Harvard and the contrasting careers of its founder Louis Agassiz and his son Alexander. Through the story of this institution and the individuals who formed it, Mary P. Winsor explores the conflicting forces that shaped systematics in the second half of the nineteenth century. Debates over the philosophical foundations of classification, details of taxonomic research, the young institution's financial struggles, and the personalities of the men most deeply involved are all brought to life. In 1859, Louis Agassiz established the Museum of Comparative Zoology to house research on the ideal types that he believed were embodied in all living forms. Agassiz's vision arose from his insistence that the order inherent in the diversity of life reflected divine creation, not organic evolution. But the mortar of the new museum had scarcely dried when Darwin's Origin was published. By Louis Agassiz's death in 1873, even his former students, including his son Alexander, had defected to the evolutionist camp. Alexander, a self-made millionaire, succeeded his father as director and introduced a significantly different agenda for the museum. To trace Louis and Alexander's arguments and the style of science they established at the museum, Winsor uses many fascinating examples that even zoologists may find unfamiliar. The locus of all this activity, the museum building itself, tells its own story through a wonderful series of archival photographs.

Seemingly universal geometric forms unite the flow systems of engineering and nature. For example, tree-shaped flows can be seen in computers, lungs, dendritic crystals, urban street patterns, and communication links. In this groundbreaking book, Adrian Bejan considers the design and optimization of engineered systems and discovers a deterministic principle of the generation of geometric form in natural systems. Shape and structure spring from the struggle for better performance in both engineering and nature. This idea is the basis of the new constructal theory: the objective and constraints principle used in engineering is the same mechanism from which the geometry in natural flow systems emerges. From heat exchangers to river channels, the book draws many parallels between the engineered and the natural world. Among the topics covered are mechanical structure, thermal structure, heat trees, ducts and rivers, turbulent structure, and structure in transportation and economics. The numerous illustrations, examples, and homework problems in every chapter make this an ideal text for engineering design courses. Its provocative ideas will also appeal to a broad range of readers in engineering, natural sciences, economics, and business.

An enlightening vision of how the laws of mathematics find organic expression in the beauty and patterns of nature, written by an acclaimed mathematician and science writer.

Why does nature prefer some shapes and not others? The variety of sizes, shapes, and irregularities in nature is endless. Skillfully integrating striking full-color illustrations, the authors describe the efforts by scientists and mathematicians since the Renaissance to identify and describe the principles underlying the shape of natural forms. But can one set of laws account for both the symmetry and irregularity as well as the infinite variety of nature's designs? A complete answer to this question is likely never to be discovered. Yet, it is fascinating to see how the search for some simple universal laws down through the ages has increased our understanding of nature. The Parsimonious Universe looks at examples from the world around us at a non-mathematical, non-technical level to show that nature achieves efficiency by being stingy with the energy it expends.

An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics. “The remarkable story of one of the world’s most accomplished mathematicians . . . Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind’s irrepressible spirit of discovery.” —Brian Greene, New York Times–bestselling author of The Elegant Universe “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.” —The Boston Globe “Engaging, eminently readable. . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.” —American Scientist