Contains 640 problems including solutions; additional practice problems with answers; explanations of complex variable theory; coverage of applications of complex variables in engineering, physics, and elsewhere, with accompanying sample problems and solutions.

    And sometimes fate steps in to miraculously change the lives of women in unforgettable ways, affecting them as wives, mothers, daughters, sisters, aunts, lovers, and friends. Could they be messages from a higher power? Whether these miracles come during times of difficulty or celebration, they represent extraordinary opportunities to explore the wonders life has to offer. One of the most popular books in the Small Miracles series, this beautifully repackaged and expanded volume collects 50 inspirational, unforgettable, and even divine stories of coincidence experienced by women from all walks of life.

    Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality -- the study of cause and effect -- on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.

    Anchored in the life of Christ as presented in the Gospels, it explores the entirety of Jesus life who he is, what he is really like, what he taught, what he did for our salvation, and what this means for us as Catholics today.This study shows, in a simple way, how Jesus, the Incarnate God, is both fully divine and fully human his intimacy with the Father, his revelation of the heart of the Father, and his extraordinary influence on his disciples, his followers, and even his enemies.Most importantly, this encounter with Christ will inspire and empower you to center your entire life in him as you come to know and love him in an ever-deeper and more intimate way.

    Although the laws of physics create a powerful impression that time is flowing, in fact there are only timeless `nows'. In The End of Time, the British theoretical physicist Julian Barbour describes the coming revolution in our understanding of the world: a quantum theory of the universe that brings together Einstein's general theory of relativity - which denies the existence of a unique time - and quantum mechanics - which demands one. Barbour believes that only the most radical of ideas can resolve the conflict between these two theories: that there is, quite literally, no time at all. The End of Time is the first full-length account of the crisis in our understanding that has enveloped quantum cosmology. Unifying thinking that has never been brought together before in a book for the general reader, Barbour reveals the true architecture of the universe and demonstrates how physics is coming up sharp against the extraordinary possibility that the sense of time passing emerges from a universe that is timeless. The heart of the book is the author's lucid description of how a world of stillness can appear to be teeming with motion: in this timeless world where all possible instants coexist, complex mathematical rules of quantum mechanics bind together a special selection of these instants in a coherent order that consciousness perceives as the flow of time. Finally, in a lucid and eloquent epilogue, the author speculates on the philosophical implications of his theory: Does free will exist? Is time travel possible? How did the universe begin? Where is heaven? Does the denial of time make life meaningless? Written with exceptional clarity and elegance, this profound and original work presents a dazzlingly powerful argument that all will be able to follow, but no-one with an interest in the workings of the universe will be able to ignore.

    With the Big Bang, it went from a state of unimaginable density to an all-encompassing cosmic fireball to a simmering fluid of matter and energy, laying down the seeds for everything from dark matter to black holes to one rocky planet orbiting a star near the edge of a spiral galaxy that happened to develop life. But what happens at the end of the story? In billions of years, humanity could still exist in some unrecognizable form, venturing out to distant space, finding new homes and building new civilizations. But the death of the universe is final. What might such a cataclysm look like? And what does it mean for us? Dr. Katie Mack has been contemplating these questions since she was eighteen, when her astronomy professor first informed her the universe could end at any moment, setting her on the path toward theoretical astrophysics. Now, with lively wit and humor, she unpacks them in The End of Everything, taking us on a mind-bending tour through each of the cosmos’ possible finales: the Big Crunch; the Heat Death; Vacuum Decay; the Big Rip; and the Bounce. In the tradition of Neil DeGrasse’s bestseller Astrophysics for People in a Hurry, Mack guides us through major concepts in quantum mechanics, cosmology, string theory, and much more, in a wildly fun, surprisingly upbeat ride to the farthest reaches of everything we know.

    This might not be the only LSAT book you read, but it should definitely be the first. In his down-to-earth, often irreverent style, Nathan demystifies the confusing world of logic games, logical reasoning, and reading comprehension. In no time, you'll start to see through the BS and dominate the test. The approaches are easy to digest, and will stick with you when you finally sit down for the big day. No nonsense. No made-up, trademarked buzzwords. No confusing jargon. And best of all, no pulled punches. Plus, you’ll also find out how you can contact Nathan directly with your questions. So grab a pencil and crack this book. Let's get it on.

    Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

    Richard developed this process as an easy way for anyone to quickly integrate new spiritual teachings into their life and see fast results. Drawing on his own personal experiences and struggles with interpreting these esoteric teachings, the Magic Transformation Process bridges the gap between theory and practice by “transforming” any teaching into a form that is easily assimilated by our current belief system. The result is a high level of personal effectiveness and greatly improved success rates when learning any spiritual or self-help technique, such as those intended for instant manifestation or spiritual healing. Having laid this general groundwork for personal development, Richard moves on to explain why manifestations are not about taking a piecemeal approach. Many readers apply manifestation techniques in a piecemeal manner to fill up perceived voids in their lives. But as Richard explains, becoming an effective manifestor goes beyond just using these techniques when the need arises and neglecting them in other areas of your life. To become an effective manifestor, one needs to move towards an actual, holistic living of this material at all levels of their being instead of merely understanding it theoretically. To help readers do so, Richard expands upon the concept of timeless manifestations which he originally introduced in his book Playing In Time And Space. In this current book, Richard takes readers through a powerful series of inner exercises to “perceive our physical manifestations as the Universe sees it — at a single point in time.” Most readers have a difficult time understanding why time and space boundaries do not matter to the Universe and how time is only a convenient illusion when it comes to our manifestations. Through the steps described by Richard, readers are guided to see why instant spontaneous manifestations are not just a fantasy but a definite possibility in our everyday experience. Next, Richard shares the Quick Statement Process, a powerful technique that allows readers to cut through any negative feelings, emotions or thoughts arising from particular situations in their own life. These negative feelings often delay and hold our manifestations back, which is why it is important that we break free from them as soon as possible. The Quick Statement Process allows one to dissolve any negative feelings of doubt without the need for any logical rationalizations or psychoanalysis. Just drop it and be done with them! Readers are in for a treat as Richard rounds up the book by showing readers how to “collapse” their perceptions of time and space — such that they are both living in their current reality and also a “future” reality where their desires are already manifest. He shares his latest insights on why worrisome and fearful thoughts just cannot exist when we “collapse the future into the now” and live in a state of perpetual bliss.

    Often the age-old customs, whose relevance is lost to modern times, are dismissed as meaningless superstitions. The truth, however, is that these practices reveal the philosophical and scientific approach to life that has characterized Hindu thought since ancient times; it is important to revive their original meanings today. This handy book tells the fascinating stories and explains the science behind the Hindu rites and rituals that we sometimes follow blindly. It is essential reading for anyone interested in India's cultural tradition.

    Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

    A collection of true-life accounts of near death experiences or glimpses of the afterlife by one of the UK's best-loved experts in the paranormal.

    A crime destined to become the most notorious and obsessive cold case in Cincinnati history. On that long ago day in September on the cusp of autumn, we were horrified by the blaring Bricca murder headlines. Jerry, his pretty wife Linda, and their young daughter Debbie were found stabbed to death in their home in the city’s Bridgetown neighborhood. Striking between the 4th and 5th slayings of the Cincinnati Strangler in 1966, the Bricca killer plunged a city already on edge into an abyss.A half century later, the Bricca mystery lingers in cobwebs and survives on whispers. Enter Cincinnati crime writer, J.T. Townsend, author of local best-seller Queen City Gothic. J.T. was given unprecedented access to the case file, laden with information that never saw the light of print before–evidence that might illuminate the relentless rumors that police “screwed up the crime scene” or “covered up for the suspect.” 50 years later, True Crime Detective J.T. Townsend answers “Who dun it?” and renders a final verdict.

    The Essence of Reiki 2 is the second Reiki manual in our series of 3 Reiki manuals that cover everything you need to know about the Usui method of natural healing.The Usui Reiki Level 2 Advanced Practitioner Manual is a wonderful guide for those Reiki students who have already completed Reiki Level 1 and are now ready to move on to the more advanced Reiki techniques taught is the second degree.There are 17 lessons which will guide you and mentor you through the three pillars of reiki and introduce you to the sacred reiki symbols and show you how to use these symbols to boost your reiki energy vibration and how to perform distant or absent healing.Reiki 2 opens up a new pathway to healing with unlimited possibilities and applications.Show More Show Less

    No matter how much time he spends outside, it's never enough. Whether being thrashed by drill instructors at Parris Island or drenched by a squall in some high tundra, the same calming thought always prevailed: It’s good to be outside."Home is Forward" is much more than a collection of travel stories. As a prequel to "Where's the Next Shelter?" it answers the question of how someone can go from having a (somewhat) normal life to casting it all aside and wanting to go live in the woods. Hilarious, poetic and often thoughtful, "Home is Forward" is also a story about people. From ancient ruins to frozen volcanos, lessons are learned, friendships are forged, and on top of it all, love blooms. So if you yearn to visit far off lands, or simply love a well spun tale, you’re in the right place.