Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metrics from an infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains requires the concepts of surfaces and covering spaces as well as uniformization and Fuchsian groups. These ideas are developed in the context of what is used later. The authors then provide a detailed discussion of hyperbolic geometry for arbitrary plane domains. New material on hyperbolic and hyperbolic-like metrics is presented. These are generalizations of the Kobayashi and Caratheodory metrics for plane domains. The book concludes with applications to holomorphic dynamics including new results and accessible open problems.

Hyperbolic Geometry from a Local Viewpoint (London Mathematical Society Student Texts)

Science & Math

Keen, Linda

Lakic, Nikola

Mathematics

Cambridge University Press

Hyperbolic Geometry from a Local Viewpoint (London Mathematical Society Student Texts, Series Number 68)

Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metrics from an infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains requires the concepts of surfaces and covering spaces as well as uniformization and Fuchsian groups. These ideas are developed in the context of what is used later. The authors then provide a detailed discussion of hyperbolic geometry for arbitrary plane domains. New material on hyperbolic and hyperbolic-like metrics is presented. These are generalizations of the Kobayashi and Caratheodory metrics for plane domains. The book concludes with applications to holomorphic dynamics including new results and accessible open problems.

The Dream Keepers

Literature & Fiction

Genre Fiction

Keen Press

The mathematical works of Lars Ahlfors and Lipman Bers are fundamental and lasting. They have influenced and altered the development of twentieth century mathematics. The personalities of these two scientists helped create a mathematical family and have had a permanent positive effect on a whole generation of mathematicians. Their mathematical heritage continues to lead succeeding generations. In the fall of 1994, one year after Bers' death, some members of this family decided to inaugurate a series of conferences, The Bers Colloquium, to be held every three years. The theme was to be a topic in the Ahlfors-Bers mathematical tradition, broadly interpreted. Ahlfors died a year after the first colloquium; future colloquia in this series will be called The Ahlfors-Bers Colloquium. 
The first colloquium was held in October 1995 at the Graduate Center, CUNY in New York. It coincided roughly with the second anniversary of Bers' death. There were six lectures and much informal mathematical discussion. This volume contains papers by the speakers and many of the participants. The broad range of papers indicates how strong and far-reaching Bers' influence has been. The topics represented in the book include Teichmüller theory, Kleinian groups, higher dimensional hyperbolic geometry, geometry of numbers, circle packings, theory of discrete groups, classical complex function theory, one dimensional dynamics, fluid dynamics, quasiconformal mappings in higher dimensions, partial differential equations, and classical algebraic geometry. 
Features: 
Twenty-seven very high-level papers on related topics 
Open problems 
Expository articles

Lipa's Legacy: Proceedings of the Bers Colloquium, October 19-20, 1995, Graduate School and University Center of Cuny (Contemporary Mathematics)

Dodziuk, Jozef

Bers Colloquium (1st : 1995 : Graduate School and University Center of CUNY)

Amer Mathematical Society

Journeys Across Seas of the Collective Consciousness Imagine that you get up one morning to discover you've tapped a rich vein of the collective consciousness and can now visit friends or favorite heroes who've passed over to the other side. In this book, Linda Keen gives us a taste of how that might be. She takes us with her on a remarkable journey into seldom visited regions of human experience. Here she meets the legendary John Lennon and finds herself immediately engaged in one of the most astonishing dialogues of her life. Through this lively, entertaining narrative, we share the humor, loves, reflections, joys, and regrets--the very heart and soul--of this most beloved and controversial Beatle. After the first few pages you'll be so deeply engrossed with the world you see through John Lennon's eyes, you'll forget to ask the obvious question: "Is this real? Has the writer actually pushed beyond the limits of everyday reality and entered another dimension?" The simple truth is that it ceases to matter whether this is fiction or a metaphysical breakthrough. Linda Keen's prose reads like the most engaging novel, with a perspective that is convincingly positive, loving and respectful. She offers new appreciation for John's complexity and compassion, as well as for the flawed humanness and passions that perhaps helped make his music so great. The book pays homage to him--as a musical genius, as a father, as a husband, as a person who deeply loved life and was committed to world harmony. Every page celebrates his profound messages of peace, his belief in humanity's divine nature, and his own reverence for the magic of the creative spirit.

John Lennon in Heaven: Crossing the Borderlines of Being

Religion & Spirituality

New Age & Spirituality

Pan Publishing

How little is actually known about human consciousness, particularly how intuition works in relation to the human body, mind, and spirit. If we think we cannot see, hear, feel, or touch it, what does it mean to believe in it? What does the unseen world offer us that the tangible world cannot? Does intuition lead us to the soul? Could it serve as a gateway to a sublime reality and awareness otherwise far too great and distant for us to comprehend? We might agree that our experience of love can be very similar--that it serves as a gateway to the divine, to a place of awareness too immeasurable for humans to try to understand. Yet, we try anyway. We attempt to understand and to find landmarks which can help us along our way as we leave the tangible world behind us in search of more dimensions of meaning to our mysterious and often baffling earthly experience. Perhaps our intuition leads us to our soul, to a vast and inexplicable place of knowing. It encourages and enables us to make use of the countless invisible realities co-existing with the visible ones. Intuition is a true gift we can receive, utilize and enjoy. Alongside love, it can broaden our horizons in ways nothing else on earth possibly can. Every human is born with this gift, and at the same time, it is a matter of personal interest and desire as to whether we want to receive and utilize it. Every person on earth holds a key to their intuition, yet it is up to each one of us to decide whether we want to unlock, explore, and apply its magic. As many now know, the gift of the imagination is truly the most powerful tool we humans possess in determining our ability to "be still and know," and it remains the primary source of all our self-healing. Linda Keen is an American healer, author, and teacher of metaphysics. She began her practice in 1978 in the Netherlands after discovering her aptitude for using her intuition to help others. Providing support to clients looking for significant answers to questions concerning a soul's purpose in everyday life, Linda unwittingly pioneered an entirely new method of training within the Dutch self-help community. Her book, first published in Dutch in 1985 titled Intuitieve Ontwikkeling (later called Intuition Magic in English) soon became a bestseller. It has gone into its 15th printing in Holland and remains a landmark resource for those seeking encouragement in this field. The most striking realization Linda had in the course of her work was how each and every human being has full access to his or her own elaborate body of spiritual information--if only they have the interest required to seek and find it. This access is one of the lesser-known and/or acknowledged gifts of the remarkable human psyche. As co-founder in 1987 of Mens &amp; Intuitie (People &amp; Intuition), one of the largest schools for energy awareness and intuitive healing in the Netherlands (with up to 350 weekly trainees), Linda, a mother of four children, spent sixteen years in that country as healer, meditation teacher, and published author. In 1993, she and her family left the Netherlands to live on the West Coast of the United States. Her school was eventually handed over to a number of graduates who continue to keep the spirit of this institution alive.

Intuition Magic: Understanding Your Psychic Nature

Bennett, Hal Zina

Occult & Paranormal

Hampton Roads Publishing

See second edition of same story titled John Lennon in Heaven: Crossing the Borderlines of Being now in both paperback and Kindle.

Across the Universe With John Lennon

Price, Darryl

Hampton Roads Pub Co Inc

A heartwarming story about family, friendship, diversity, and self-knowledge. In the first years of the new millennium, Star and Thatcher O'Day are seven and eight years old when they are forced to leave the only home they have ever known. Driving cross country from the Deep South to the West Coast with their grandfather, a famous poet they consider strange, sister and brother will also have to accustom themselves before long to an eccentric artist who does not look or act anything like they think a grandmother should. Settling into entirely new surroundings, their joys as well as trials and tribulations, combined with the ebb and flow of memorable relationships, become central to the siblings' incitement for change. As each advancing year elicits increasing levels of alarm and acute dangers, their continuing encounters steer them into places and circumstances they never could have imagined.

Teen & Young Adult

Historical Fiction

Mill City Press, Inc.

"Intuition Magic gives us the insights and tools for a happy life. I have seen how it has helped thousands of people of all ages to become who they really are and to express this in their daily lives. This book is a wonderful gift from Linda Keen to every person on this planet. Written with love, down to earth and immediately applicable." - Hans Andeweg, Founder of Center for ECOintention and Author of The Universe Loves A Happy Ending and In Resonance With Nature. Most of us have experienced bursts of intuition or "paranormal" events. Are they all products of imagination or confusion? The truth is that we all have psychic abilities. We simply have to accept their validity and learn to use them properly. Linda Keen's unusual experiences began when she was a child. For years, she kept her secret world to herself for fear of rejection and alienation. But eventually she found companions who validated her experiences and helped her to refine her abilities. In Intuition Magic, she discusses how she developed her abilities to such a level of mastery that she eventually co-founded the largest school for psychic abilities in the Netherlands. Linda has placed a great deal of her teachings in this book. Here you can learn the power and magic of your own intuition, following her step-by-step instruction. You'll discover how to read and adjust auras, protect yourself from "psychic noise," get grounded, maintain healthy chakras, and apply your new intuitive skills to everyday life. Intuition Magic is designed as a road map to assist the seeker within this immaterial world of intuition and spirituality. You know you are ready. Enjoy your journey.

Self-Help

Personal Transformation

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