The principal aim of this book is to introduce university level mathematics ? both algebra and calculus. The text is suitable for first and second year students. It treats the material in depth, and thus can also be of interest to beginning graduate students.New concepts are motivated before being introduced through rigorous definitions. All theorems are proved and great care is taken over the logical structure of the material presented. To facilitate understanding, a large number of diagrams are included. Most of the material is presented in the traditional way, but an innovative approach is taken with emphasis on the use of Maple and in presenting a modern theory of integration. To help readers with their own use of this software, a list of Maple commands employed in the book is provided. The book advocates the use of computers in mathematics in general, and in pure mathematics in particular. It makes the point that results need not be correct just because they come from the computer. A careful and critical approach to using computer algebra systems persists throughout the text.
The being whom we call Christ once walked the earth in flesh and blood at the beginning of our era. He will never again return in a physical body, for that was a unique event and will not be repeated. But He will come again in an etheric form in the period I have mentioned. People will learn to perceive Christ by virtue of growing towards him through this etheric perception." Many contemporaries were unaware of Christ's incarnation on earth at the beginning of the modern era. And today, says Rudolf Steiner, many remain ignorant of the most important event of our time: the appearance of Christ in the etheric - or life - realm of the earth. Fundamentalist and millennial groups await a second physical incarnation, while atheists and materialists deny spirit altogether. Nevertheless, an incisive transformation is taking place in the human soul that will lead to an emerging clairvoyance. Just as Paul perceived Christ at Damascus, so may every human being experience Him today.
10 lectures, Basel, September 15-26, 1909 (CW 114) Rudolf Steiner was born with clairvoyant capacities, but it was not until he was forty that he could connect his inner experiences with Jesus Christ. After that "solemn festival of knowledge," as he described it in his Autobiography, Steiner received ceaseless revelations about the significance of the Christ's incarnation. For the next twenty years, he spoke of the hidden background to all four gospels, the Book of Revelations, and even what he called the Fifth Gospel, read directly from the spirit worlds. These lectures present the most accessible and illuminating of Steiner's revelations about the significance of the Christ for the spiritual development of humanity. He discusses the link between the Buddha and the Christ, which unites Buddhism and Christianity--not in theory but in the spiritual activities of those two beings. Steiner also describes the relationship between the Greek Mystery traditions and the Mystery of Golgotha: "A sign was to be placed before them as well, a sign that would now be enacted before the eyes of all humankind. The 'mystical death, ' which had been a ceremonial act in the Mystery temples for hundreds and thousands of years, would now be presented on the great stage of world history. Everything that had taken place in the secrecy of initiation temples was brought into the open as a single event on Golgotha." Utilizing a historical overview, revealing the relationship between the great religious traditions, and how they have conspired together for the good of humanity, Steiner never loses sight of the Gospel's great inner meaning, as echoed in the Gospel of St. Luke: "The revelation of the spiritual worlds from the Heights and its answering reflection from human hearts brings peace to all whose purpose upon the evolving Earth is to develop good will." Contents: Introduction by Robert A. McDermott The Four Gospels in the Light of Anthroposophy The Luke Gospel As an Expression of Love and Compassion Buddha's Contribution to Humanity Formation of the Nathan-Jesus Child Contributions of the Nathan Jesus from Buddha and Zarathustra Elijah, John the Baptist, and Zarathustra Christ, the Great Mystery of Earth Evolution Illness and Healing in Luke and in the Evolution of Consciousness Christ and Maitreya buddha Robert A. McDermott's descriptive outline of Steiner's Lectures on Luke
Rudolf Steiner, the often undervalued, multifaceted genius of modern times, contributed much to the regeneration of culture. In addition to his philosophical teachings, he provided ideas for the development of many practical activities, including education - both general and special - agriculture, medicine, economics, architecture, science, religion and the arts. Steiner's original contribution to human knowledge was based on his ability to conduct 'spiritual research', the investigation of metaphysical dimensions of existence. With his scientific and philosophical training, he brought a new systematic discipline to the field, allowing for conscious methods and comprehensive results. A natural seer from childhood, he cultivated his spiritual vision to a high degree, enabling him to speak with authority on previously veiled mysteries of life. Samples of Steiner's work are to be found in this introductory reader in which Matthew Barton brings together excerpts from Steiner's many talks and writings on Christmas. The volume also features an editorial introduction, afterword, commentary and notes. Chapters: Christmas in a Grevious Age; Christmas and the Earth; Delving to the Core; The Child and the Tree; Towards a New Christmas.
Since the coming of Gautama Buddha, Eastern mystics have spoken especially about a future condition when earth will be bathed in a moral etheric atmosphere. Ever since the time of the ancient rishis, they had hoped that this moral impulse would come to earth from Vishva Karman (or from Ahura Mazda, as Zarathustra proclaimed). Eastern mysticism foresaw that this moral atmosphere would come to earth from the being we call the Christ. Eastern mystics had set their hopes on the being of Christ." -- Rudolf Steiner (p. 125) The first chapter of the Acts of the Apostles describes Christ's Ascension: "and a cloud received him out of their sight." As the disciples were looking up, two angels appeared and said, "the same Jesus, taken up from you into heaven, shall come again in the same way as you have seen him go." Starting in 1910, Rudolf Steiner initiated a series of lectures announcing the advent of Christ's appearance in the sphere of the earth's etheric or life body. This he said would begin between 1930 and 1940, but at first, only a few people would be aware of it. In time, more and more people --regardless of their religious affiliation --would be infused by Christ's living presence. Such "Damascus experiences," bespeaking a new natural clairvoyance, Steiner said, would become increasingly common. The Christ will become a living comforter. Though it may seem strange now, it is nevertheless true that even large numbers of people sitting together and wondering what to do will see the etheric Christ. He will be there and confer with them; he will cast his word into their gathering. We are approaching these times when this positive, constructive element will take hold of human evolution." -- Rudolf Steiner (p. 122) The lectures collected here on the second coming of Christ also contain significant related issues, such as spiritual science and etheric vision, the etheric vision of the future, the Sermon on the Mount and the land of Shambhala, the etherization of the blood, the mysteries of comets and the moon, Buddhism and Pauline Christianity, and the three realms between death and rebirth.
Now when Jesus was born in Bethlehem of Judea in the days of Herod the king, behold, wise men from the East came to Jerusalem, saying: "Where is he who has been born king of the Jews? For we have seen his star in the East, and have come to worship him."'These words begin a story that will be familiar to many, whether from images on Christmas cards or school nativity plays, or more directly from Christian teaching. As often with images associated with Christmas, they have the power to evoke all kinds of feelings, from joy and hope to sorrow and doubt. But what do we really know of the birth of Jesus, and who were the mysterious wise men that are reported to have visited him?In this freshly-collated anthology of Rudolf Steiner's lectures, complemented with illuminating commentary by editor Margaret Jonas, we are offered solutions to the riddles surrounding Jesus's birth and the seemingly conflicting accounts within Christian scripture. Could there have been two different births – in other words, two infants, both named Jesus, born to two sets of parents?From the mystery of the birth, we are led to a study of the three wise men – who are mentioned in only one of the four Gospel accounts. Who were they, what was their teaching, and what was the meaning of the star they followed? And, why did they offer gifts of gold, frankincense and myrrh to the baby Jesus? The Three Wise Men offers solutions to the enigma of the identity and spiritual backgrounds of these magisterial figures and also provides suggestions as to their possible future roles in the drama of human development.Featuring colour images, this original, thought-provoking book is a wonderful gift for anyone seeking to understand the birth of Jesus and the wise men from the East.
8 lectures, Basel and Dornach, December 22, 1918 - January 1, 1919 (CW 187) "This is the goal toward which mankind strives through the new wisdom, in the new spirit: To find in the spirit itself the power to overcome egotism and the falseness of life, to overcome self-seeking through love, the sham of life through truth, illness through health-giving thoughts that put us into immediate accord with the harmonies of the universe, because they flow from the harmonies of the harmonies of the universe" (Rudolf Steiner). Steiner examines the inner history of Christianity, explaining its relationship to ancient Judaism, Hellenism, Romanism, Gnosticism, and Egypto-Chaldean initiation. He describes the hidden spiritual battle raging today and the need for a renewal of the mysteries in a modern form. Today's road to Christ must involve a new, formative thinking whose Christian character is shown in the advent of selflessness, health, and a sense for truth. George O'Neil describes the nature of these lectures in his foreword: "As always, Rudolf Steiner spoke freely without using notes. Most of his audience had studied --or were at least familiar with --his written works and the published lecture cycles on the Gospels and related themes. A similar background will be needed for reading How Can Mankind Find the Christ Again? Such a background will prepare the reader for challenges and vistas not encountered elsewhere. Steiner's message of the new Christ Light midst the shadow existence of our age speaks to the modern soul in search of a cognitive reach" How Can Mankind Find the Christ Again? is a translation of Wie kan die Menschheit den Christus wiederfinden? Das dreifache Schattendasein unserer Zeit und das neue Christus-Licht (GA 187).
In this introductory reader, Matthew Barton has collected excerpts from Steiners many talks and writings on the subject of Michaelmas, one of the key spiritual festivals of the yearly cycle. The volume also features an editorial introduction, afterword, commentary, and notes.
The principal aim of this book is to introduce university level mathematics — both algebra and calculus. The text is suitable for first and second year students. It treats the material in depth, and thus can also be of interest to beginning graduate students.New concepts are motivated before being introduced through rigorous definitions. All theorems are proved and great care is taken over the logical structure of the material presented. To facilitate understanding, a large number of diagrams are included. Most of the material is presented in the traditional way, but an innovative approach is taken with emphasis on the use of Maple and in presenting a modern theory of integration. To help readers with their own use of this software, a list of Maple commands employed in the book is provided. The book advocates the use of computers in mathematics in general, and in pure mathematics in particular. It makes the point that results need not be correct just because they come from the computer. A careful and critical approach to using computer algebra systems persists throughout the text.
Rudolf Steiner contributed much to the regeneration of modern culture. In addition to his philosophical teachings, he provided ideas for the development of many practical movements, including Waldorf education, biodynamic agriculture, anthroposophically extended medicine, the Christian Community, as well as ideas for economic renewal, architecture, Goethean science, and the arts. Steiner's original contribution to human knowledge was based on his ability to conduct spiritual research, the investigation of metaphysical dimensions of existence. With his scientific and philosophical training, he brought a new systematic discipline to the field, allowing for conscious methods and comprehensive results. A natural seer from childhood, he cultivated his spiritual vision to a high degree, enabling him to speak with authority on previously veiled mysteries of life. In this introductory reader, Barton collects excerpts from Steiner's many talks and writings on Easter. It also features an editorial introduction, afterword, commentary, and notes. Chapters: Can we Celebrate Easter? The Earth and the Cosmos Rising Sun Nature and Resurrection Golgotha, the Central Deed of Evolution Easter, a Festival for the Future
10 lectures, Basel, September 15-24, 1912 (CW 139) Steiner tells us that Mark was especially able to reveal Christ as a cosmic being of his greatness and power, because, after having been a pupil of Peter, he moved to Alexandria during a time when Jewish philosophy and theology was at it's peak. There he absorbed the best aspects and views of pagan gnosis. Mark was able to learn how humankind came arose from the spiritual world and how the luciferic and ahrimanic forces are taken into the human soul. Mark was able to accept everything that was told to him by pagan gnosis concerning our human origin out of the cosmos when our planet came into being. But he could also see, especially from his perspective in Egypt, the strong contrast between our original human destiny and what humankind had become during his time. This lecture cycle, like the Gospel itself, is a work of art in its own right. This book is a translation of the German edition Das Markus-Evangelium (GA 139).
Steiner discusses the deeper meaning of the Christmas festival--primarily through the lens of the traditional "Three Kings" folk play of Oberammergau and its esoteric roots. This unique lecture is especially valuable for those who are preparing for a part in such a play, as well as those who plan to attend a performance. It will deepen the reader's understanding of both the play's significance and the real meaning of Christmas.
Eighteen Lectures, Conversations and Question-and-answer Sessions in Dornach from 5 to 22 September 1924, Reconstructed from Notes Taken by the Participants
Eighteen Lectures, Conversations and Question-and-answer Sessions in Dornach from 5 to 22 September 1924, Reconstructed from Notes Taken by the Participants
18 lectures & conversations with 57 priests, Dornach, Sept 5-22, 1924 (CW 346) John's Book of Revelation, the Apocalypse, has been subjected to countless theological and academic interpretations over the years, usually based on theories and abstract speculations. Rudolf Steiner, however, discussed the Book of Revelation through direct experience and knowledge of the spiritual truths contained in John's mysterious imagery. Rudolf Steiner had already presented his insights on the Apocalypse to various audiences, but in 1924 he presented a completely new perspective. This time, his comments were in response to requests from priests of The Christian Community, the movement for religious renewal, which itself had taken form on the basis of Steiner's insights. This book will be of value to anyone who would like a fresh perspective on the most enigmatic book of the New Testament. Includes eight color plates of blackboard drawings. This book is a translation from German of text reconstructed from notes taken by the participants, originally published as Vorträge und Kurse über christlich-religiöses Wirken, Bd.5, Apokalypse und Priesterwirken (GA 296).
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.