In this book the author has succeeded in presenting the many facets of the globel problems and hazards for our climate and thei r i nterdi scip l inary aspects, as we II as maki ng these under- standable for the non-specialist. In doing this, the author has not restricted himself to an analysis of the difficult problems but has indicated the necessity and the possibilities for ratio- na l so lutions. The book, therefore, can be a va lueb le deci si on- aid for all those who directly or indirectly are in positions of responsibi lity at various levels of administration or in industry end busi ness. We ll-timed precauti onary measures agai nst a g loba l deteri o- ration of cLimate are not only necessary for reasons of environ- mental protection. They are also an economical end political necessity. The measures include the reduction of the combustion of fossi l fue ls, a more rati one l energy uti l ization, as we II as the establishment of a global equilibrium between forest loss and reforestati on. The Federal German Government takes these potential anthro- pogenic climate changes very seriously. In order to obtein better scientific information, the Federal Government has ini- ti ated an i nterdi sci p l i nary nati one l Climate Programme. At the same time, the Federal Republic of Germany supports the relevant activities within the frame of international cooperation.

The physical processes which initiate and maintain motion have been a major concern of serious investigation throughout the evolution of scientific thought. As early as the fifth century B. C. questions regarding motion were presented as touchstones for the most fundamental concepts about existence. Such wide ranging philosophical issues are beyond the scope of this book, however, consider the paradox of the flying arrow attri buted to Zeno of Elea: An arrow is shot from point A to point B requiring a sequence of time instants to traverse the distance. Now, for any time instant, T, of the sequence the arrow is at a position, Pi' and at Ti+! the i arrow is at Pi+i> with Pi ::I-P+* Clearly, each Ti must be a singular time i 1 unit at which the arrow is at rest at Pi because if the arrow were moving during Ti there would be a further sequence, Til' of time instants required for the arrow to traverse the smaller distance. Now, regardless of the level to which this recursive argument is applied, one is left with the flight of the arrow comprising a sequence of positions at which the arrow is at rest. The original intent of presenting this paradox has been interpreted to be as an argument against the possibility of individuated objects moving in space.

In this book the author has succeeded in presenting the many facets of the globel problems and hazards for our climate and thei r i nterdi scip l inary aspects, as we II as maki ng these under- standable for the non-specialist. In doing this, the author has not restricted himself to an analysis of the difficult problems but has indicated the necessity and the possibilities for ratio- na l so lutions. The book, therefore, can be a va lueb le deci si on- aid for all those who directly or indirectly are in positions of responsibi lity at various levels of administration or in industry end busi ness. We ll-timed precauti onary measures agai nst a g loba l deteri o- ration of cLimate are not only necessary for reasons of environ- mental protection. They are also an economical end political necessity. The measures include the reduction of the combustion of fossi l fue ls, a more rati one l energy uti l ization, as we II as the establishment of a global equilibrium between forest loss and reforestati on. The Federal German Government takes these potential anthro- pogenic climate changes very seriously. In order to obtein better scientific information, the Federal Government has ini- ti ated an i nterdi sci p l i nary nati one l Climate Programme. At the same time, the Federal Republic of Germany supports the relevant activities within the frame of international cooperation.

The present workshop is the third of a series of interna- tional conferences carried out within the framework of a research project on behalf of the Federal Minister of the Interior. Under this project, entitled "Impacts of Air Pollution on Climate", the Federal Environmental Agency (Umweltbundesamt) has sponsored so far: an international conference on "Man's Impact on Climate" at Berlin in June 1978, an international workshop on "Energy/Climate Interactions" at MUnster in March 1980; and an international workshop on "Food/Climate Interactions" at Berlin in December 1980, the results of which are pre- sented in this book. Based on the Federal Environmental Agency's report on "Im- pacts of Air Pollution on Climate", on November 11, 1979, the Federal Cabinet approved a climate research programme of the Federal Government. Details of the programme are being vlOrked out by a committee on climate research under the chairmanship of the president of the German Weather Service with the execu- tive office placed in the Federal Environmental Agency. This demonstrates that, by establishing a nationally co-or- dinated climate research programme, the Federal Government re- cognizes the importance of climate to the national economy. There- fore the Federal Republic of Germany intents to contribute appro- priately both to the comprehensive international programme of the United Nations on Climate and Environment, as represented by UNEP and WHO, and to the Climate Research Programme of the Commission of the European Communities.

Since the beginning of industrialization in the last century, a steady increase in energy consumption can be observed. At the same time, energy generation switched from wood and coal to predominantly oil, coal and natural gas. Soon, many countries became aware of the fact that the resources of fossil fuels, especially of oil and natural gas are finite. Diversification of energy sources became a requirement for the future. Governments expressed their concern by setting up natural energy programmes while international organisations undertook assessments of the global energy resources and possible rates of supply and substitution. When it comes to setting up energy policies, the following factors must be taken into consideration: population growth, level and nature of socio-economic activity, the costs of energy, the adequacy and reliability of supply, the availability of technology and supporting infrastructure, the success of energy conservation programmes and concern about the environment, safety aspects of production and use of energy as well as educational efforts toward a rational use of energy. When we express our most urgent concern, the long-term global energy provision, experts offer four interrelated partial strategies: - the strategy of rational use and conservation of energy - the strategy of using renewable energy sources - the coal strategy including coal gasification and liquefaction - the nuclear power strategy. Any strategy, however, for securing future energy supply has, from my point of view, to be thoroughly examined as to its impact on the environment.

Why study infinite series? Not all mathematical problems can be solved exactly or have a solution that can be expressed in terms of a known function. In such cases, it is common practice to use an infinite series expansion to approximate or represent a solution. This informal introduction for undergraduate students explores the numerous uses of infinite series and sequences in engineering and the physical sciences. The material has been carefully selected to help the reader develop the techniques needed to confidently utilize infinite series. The book begins with infinite series and sequences before moving onto power series, complex infinite series and finally onto Fourier, Legendre, and Fourier-Bessel series. With a focus on practical applications, the book demonstrates that infinite series are more than an academic exercise and helps students to conceptualize the theory with real world examples and to build their skill set in this area.

Why study infinite series? Not all mathematical problems can be solved exactly or have a solution that can be expressed in terms of a known function. In such cases, it is common practice to use an infinite series expansion to approximate or represent a solution. This informal introduction for undergraduate students explores the numerous uses of infinite series and sequences in engineering and the physical sciences. The material has been carefully selected to help the reader develop the techniques needed to confidently utilize infinite series. The book begins with infinite series and sequences before moving onto power series, complex infinite series and finally onto Fourier, Legendre, and Fourier-Bessel series. With a focus on practical applications, the book demonstrates that infinite series are more than an academic exercise and helps students to conceptualize the theory with real world examples and to build their skill set in this area.