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Author: Terence Tao Publisher: American Mathematical Soc. ISBN: 1470466406 Category : Education Languages : en Pages : 206
Book Description
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Author: Ming-Dao Deng Publisher: Harper Collins ISBN: 0062306855 Category : Religion Languages : en Pages : 400
Book Description
Place the word Tao Into your heart. Use no other words. The Tao is constantly moving, the path that all life and the whole universe takes. There is nothing that is not part of it—harmonious living is to know and to move with the Tao—it is a way of life, the natural order of things, a force that flows through all life. 365 Tao is a contemporary book of meditations on what it means to be wholly a part of the Taoist way, and thus to be completely in harmony with oneself and the surrounding world. Deng Ming-Dao is the author of eight books, including The Living I Ching, Chronicles of Tao, Everyday Tao, and Scholar Warrior. His books have been translated into fifteen languages. He studied qigong, philosophy, meditation, and internal martial arts with Taoist master Kwan Saihung for thirteen years, and with two other masters before that.
Author: Harold David Roth Publisher: Columbia University Press ISBN: 9780231115643 Category : Philosophy Languages : en Pages : 304
Book Description
Presents a translation and commentary to the oldest known extant Taoist text, Inward Training (Nei-yeh), which is composed of short poetic verses devoted to the practice of breath meditation and its resultant insights about human nature and the cosmos. Roth argues that Inward Training is the basis of early Taoism, and suggests that there may be more continuity between early philosophical Taoism and later Taoist religion than scholars have thought.
Author: Terence Tao Publisher: Springer ISBN: 9811017891 Category : Mathematics Languages : en Pages : 366
Book Description
This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Author: Derek Lin Publisher: Penguin ISBN: 1101445920 Category : Self-Help Languages : en Pages : 153
Book Description
A modern book of destiny and power, using the ancient principles of the Tao Te Ching. How do we begin to discover and live our destined life? How can we use the ancient, Eastern philosophy to experience more success in our lives? From Derek Lin, Taoist master and author of The Tao of Daily Life, comes this practical, systematic approach to the ancient and time-honored spiritual learning process. The Tao of Success navigates the five rings of life, which are common patterns of traditional Tao cultivation, conceptualized by the ancient sages: your spirit, your mind, your relationships, your world, and your destiny. Success is achieved by discovering and experiencing these five concentric rings, from the inside out, and not in the future but in the here and now. Using the same format that made The Tao of Daily Life a breakout Eastern wisdom bestseller, Lin draws on the power of Taoist stories to illustrate important keys, or lessons. He then offers commentary on understanding and applying that story in modern life-all aimed to help readers live out the destiny that lies within themselves. By integrating the life-altering lessons of this book into their busy lives, readers can begin to cultivate the Tao. In The Tao of Success, Lin returns with his enlightening approach to understanding, centered on story and illumination of ancient Taoist secrets for the modern beginner and the familiar student alike.
Author: Benebell Wen Publisher: North Atlantic Books ISBN: 1623170672 Category : Religion Languages : en Pages : 617
Book Description
For the first time in English, Benebell Wen reveals the rich history and theoretical principles underlying the ancient practice of crafting Fu talismans, or magical sigils, in the Chinese Taoist tradition and gives detailed instructions for modern practitioners who would like to craft their own Fu. Fu talismans are ideograms and writings typically rendered on paper and empowered by means of invocations, ritual, and transferences of energy, or Qi. Talismans can be used for many purposes, such as strengthening or weakening personality characteristics, finding love, earning more money, or easing emotional tensions in the home. The Tao of Craft shows how metaphysical energy can be harnessed to amplify, strengthen, weaken, dispel, or block other metaphysical energy and to rectify perceived imbalances in the material plane. Supported by an abundance of detailed charts and images, this book serves as a step-by-step handbook that gives readers the knowledge and confidence to craft their own Fu talismans for personal empowerment. Wen, author of Holistic Tarot, delves into historic and cultural contexts of the Fu, from the neolithic period of Chinese history to contemporary practices of esoteric Taoism. Providing a solid foundation in the principles of Eastern spellcrafting, she highlights the blending of Taoist metaphysical practices with Western approaches to magic by pointing out eclectic, integrating, and harmonizing facets from other cultures and religions. Historically, Fu talismans were used by medieval Chinese for alleviating illness; averting misfortune, magical attacks, and curses; defending against assaults; and avoiding poverty. This book shows Western practitioners that the skill and knowledge to develop an interactive relationship with spirit realms are still available to them today, and serves as a practical handbook for accumulating Qi energy from sources in the environment and channeling it in concentrated form into their own Fu talismans.
Author: Mantak Chia Publisher: Simon and Schuster ISBN: 1594778515 Category : Body, Mind & Spirit Languages : en Pages : 393
Book Description
The guide to engaging and directing the three primordial forces of Earth, Heaven, and Higher Self to achieve enlightenment and immortality • Explains how to circulate the life force, or chi, by balancing yang (male) and yin (female) currents of bioenergy • Includes an overview of the complete Taoist body/mind/spirit system along with newly refined methods of activating the life force • The sequel to the classic Awaken Healing Energy Through the Tao In 1983, Mantak Chia introduced the “Microcosmic Orbit” to the West. Prior to that time, most of the Eastern energy practices transmitted to the West were incomplete, dealing only with the ascending yang/masculine channel, which shoots life-force energy up the spine. The Microcosmic Orbit showed practitioners how to establish the descending yin/feminine channel of the life-force energy loop. Within Taoist systems, cultivating feminine energy has always been seen as the key to gaining balance and wholeness. Healing Light of the Tao presents the more advanced methods of chi cultivation in the Microcosmic Orbit, offering a full understanding of Taoist spiritual theory through its comprehensive overview of the complete Taoist body/mind/spirit system. The book also includes more advanced meditation methods for absorbing the higher frequencies of Earth Force, Cosmic Force, and Universal Force (Heavenly chi) into the basic orbit. It establishes a spiritual science that not only emphasizes practical benefits to health, sexual vitality, and emotional balance, but also shows how changes made in the energy body can lead to physical rejuvenation that the Taoists called immortality.
Author: Alaine D. Duncan Publisher: North Atlantic Books ISBN: 1623172233 Category : Psychology Languages : en Pages : 353
Book Description
Explains trauma using a combination of the Five Elements (from Traditional Chinese Medicine) and a touch perspective; for practitioners of a variety of modalities, including acupuncturists, somatic therapists, massage therapists, and mental health providers. Combining Eastern and Western trauma physiology, clinician-educators Alaine Duncan and Kathy Kain introduce a new map for acupuncturists, medical practitioners, mental health providers, and body-oriented clinicians to help restore balance in their patients. Using concepts from Acupuncture and Asian Medicine (AAM), alongside descriptions of the threat response from Western bio-behavioral science, they describe common physical symptoms, emotional presentations, and paths for healing for five survivor "types" detailed by the authors and correlated to the Five Elements of AAM. This ancient/modern integrative lens illuminates the diverse manifestations of traumatic stress in its survivors--chronic pain, autoimmune illness, insomnia, metabolic problems, and mental health disorders--and brings new hope to survivors of trauma and those who treat them.
Author: YCT EXPERT TEAM
Author: YCT EXPERT TEAM
Author: Terence Tao
Author: Ming-Dao Deng
Author: Harold David Roth
Author: Terence Tao
Author: Derek Lin
Author: Benebell Wen
Author: Mantak Chia
Author: Alaine D. Duncan
Author: Stephen Thomas Chang