A classical work based on nāḍī technique of prediction.

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

The Science of 114 Chakras in Human Body is a guide book written by Dr. Amit Ray in 2015. Ray identified, located and named each of these 114 chakras in the body and the brain in his deep meditation in the Himalaya. In the book he explained the details of these 114 chakras in human body. The hierarchy, the network, and the topology of the chakras are explained in a scientific way. Ray relates the human emotions, behaviors, inner experiences and the deep spiritual experiences in the rich frameworks of 114 hierarchal and intelligent energy vortexes in the brain and the body. Ray discovered the details of the brain-body-behavior and consciousness dynamics including immunity, diseases, perception, attention, language, memory, thinking, behaviors, and consciousness in this rich frameworks of 114 chakras.

• Shows how the astrological cycle around the signs of the zodiac represents the alchemical transformation of consciousness and chakra awakening • Expands the meaning of each astrological sign based on its association with the chakras and the alchemical transmutation cycle from lead to gold • Offers sample chart analyses to show how you can discover your spiritual challenges and opportunities Demonstrating the connections between astrology, alchemy, and yoga, Frederick Baker reveals how he discovered their correspondences by rotating the natural order of the zodiac, placing Aquarius and Capricorn at the bottom and Cancer and Leo at the top, to reflect the alchemical order of metals from lead to gold. is Alchemical Tantric Arrangement then revealed a corresponding alchemical order of the seven traditional planets--from Saturn (lead) to Sun (gold)--and also aligned with the seven chakras and the three major energy channels (nadis) of the Tantric yoga system, including the channel through which Kundalini energy rises from root chakra to crown chakra. Baker uses these rediscovered correspondences to expand the meaning of each astrological sign based on their association with the chakras, the alchemical transmutation cycle from lead to gold, and the wisdom of ancient myth. He also offers expanded meanings for each chakra in association with the twelve signs of the zodiac and their ruling planets as well as new insights into the influence of Chiron and Eris. The author provides a complete analysis of his own birth chart as well as Alchemical Tantric Astrology insights into significant events over the past few decades, including the intense changes of 2020. Baker’s revolutionary new take on our individual spiritual journeys shows how the astrological cycle around the signs of the zodiac represents the alchemical and Tantric transformation of consciousness and the natural path of spiritual unfolding.

In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.