An introduction to Goethe's natural scientific writings, this book provides an alternative approach to "a science of living nature," one that goes beyond simple numbers and measurements. Goethe's development of morphological thought is a disciplined methodology that provides such an alternative. Through such observation, we can being to see the essence of living nature. Rudolf Steiner derived his theory of knowledge from Goethe's practice of natural science - and hence our understanding of biodynamic agriculture is tied to Goethe's approach. This book contains five writings by Goethe, as well as two by Rudolf Steiner.
A classic text on a critical issue of modern-day concern. The publication of this booklet was prompted by the growing concern about excessive nitrate contents in water supplies, feeds, and even food. These high concentrations of nitrate are potential, and sometimes actual, dangers to humanity and animals, and they can also bring about changes in landscape patterns. Dr. Herbert Koepf clearly spells out the significant ecological imbalances that result from the present methods of nitrate application. A clearly written and concise piece by the knowledgeable Dr. Koepf, this booklet remains highly recommended for its comprehensive style and educational value. The importance of this topic has certainly, and unfortunately, not decreased in the years since its publication. Topics covered include: Nitrate, nitrite, man, and livestock; Nitrate and nitrite in soil and plants; Fuming silos; Nitrate moving downward; Eutrophication; and The nitrate syndrome.
Germany in the 20th century endured two world wars, a failed democracy, Hitler's dictatorship, the Holocaust, and a country divided for 40 years. But it has also boasted a strong welfare state, affluence, liberalization and globalization, a successful democracy, and the longest period of peace in European history. In this award-winning volume of German history, Ulrich Herbert analyzes the trajectory of German politics and culture during a century of extremes.
This is the Second Edition of the highly successful introduction to the use of generating functions and series in combinatorial mathematics. This new edition includes several new areas of application, including the cycle index of the symmetric group, permutations and square roots, counting polyominoes, and exact covering sequences. An appendix on using the computer algebra programs MAPLE(r) and Mathematica(r) to generate functions is also included. The book provides a clear, unified introduction to the basic enumerative applications of generating functions, and includes exercises and solutions, many new, at the end of each chapter. - Provides new applications on the cycle index of the symmetric group, permutations and square roots, counting polyominoes, and exact covering sequences - Features an Appendix on using MAPLE(r) and Mathematica (r) to generate functions - Includes many new exercises with complete solutions at the end of each chapter
Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in - Combinatorics - Probability Theory - Statistics - Theory of Markov Chains - Number Theory One of the most important and
This survey of Western art from ancient Egypt to Picasso looks at visual art in a completely new and imaginative way. The lively and penetrating observations will inspire and enthuse the novice, while breathing new life into the thinking of art critics and historians. Gottfried Richter concerns himself broadly with architecture, sculpture, and painting--as well as mythology and legend--in presenting the creations of artist and architect as an expression of the evolution of human consciousness. In vivid images he offers the reader interpretive keys to understand this process in all areas of art history. With many examples the author illustrates how human life has undergone a qualitative transformation as humanity has gradually freed itself from a life determined by spiritual guidance in order to take hold of the sensory world and experience free individuality.
A classic text on a critical issue of modern-day concern. The publication of this booklet was prompted by the growing concern about excessive nitrate contents in water supplies, feeds, and even food. These high concentrations of nitrate are potential, and sometimes actual, dangers to humanity and animals, and they can also bring about changes in landscape patterns. Dr. Herbert Koepf clearly spells out the significant ecological imbalances that result from the present methods of nitrate application. A clearly written and concise piece by the knowledgeable Dr. Koepf, this booklet remains highly recommended for its comprehensive style and educational value. The importance of this topic has certainly, and unfortunately, not decreased in the years since its publication. Topics covered include: Nitrate, nitrite, man, and livestock; Nitrate and nitrite in soil and plants; Fuming silos; Nitrate moving downward; Eutrophication; and The nitrate syndrome.
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