Volume V deals with the problems of turnover in the nervous system. "Turnover" is defined in different ways, and the term is used in different contexts. It is used rather broadly in the present volume, and intentionally so. The turnover of macromolecules is only one aspect; here "turnover" in dicates the simultaneous and coordinated formation and breakdown of macromolecular species. The complexities of cerebral protein turnover are shown in aseparate chapter dealing with the synthesis ofproteins, in another on breakdown, and in still another on the relationship ofthese two (showing how the two halves of turnover are controlled). The fact that most likely the two halves of protein turnover, synthesis and breakdown, are separated spatially and the mechanisms involved are different further emphasizes the complexity of macromolecular turnover. "Turnover" is used in a different context when the turnover of a cycle is discussed; but he re again a number of complex metabolic reactions have to be interrelated and controlled; some such cycles are discussed briefly in this volume, additional cycles have been discussed with metabolism, and some cycles still await elucidation or discovery.

As far as the number of new results and quoted papers is concerned the present book may be considered a monograph. However, it also has some features of a textbook. Firstly, it proceeds from concrete problems to abstract ones, and secondly, all considerations and procedures are presented in much detail when met for the first time (such very elementary expositions can be found especially at the beginning of Chapters III and V). Finally, the authors focus their attention on elementary problems which can be dealt with by relatively simple methods. The authors hope that all this will make it possible also for an applied or technical research worker with some mathematical training to read this book. Naturally, the reader is supposed to be familiar with some basic notions from mathematical analysis, functional analysis and theory of partial differential equations. Also, the arguments and procedures which are repeated in the book are presented more briefly when met again, the reader being expected to become gradually more thoroughly acquainted with them. The authors have tried to provide a complete bibliography of all relevant publications (their number reaches about 500) from the theory of time-periodic solutions to non-linear partial and abstract differential equations whose origin may be put in the early thirties of this century.

As far as the number of new results and quoted papers is concerned the present book may be considered a monograph. However, it also has some features of a textbook. Firstly, it proceeds from concrete problems to abstract ones, and secondly, all considerations and procedures are presented in much detail when met for the first time (such very elementary expositions can be found especially at the beginning of Chapters III and V). Finally, the authors focus their attention on elementary problems which can be dealt with by relatively simple methods. The authors hope that all this will make it possible also for an applied or technical research worker with some mathematical training to read this book. Naturally, the reader is supposed to be familiar with some basic notions from mathematical analysis, functional analysis and theory of partial differential equations. Also, the arguments and procedures which are repeated in the book are presented more briefly when met again, the reader being expected to become gradually more thoroughly acquainted with them. The authors have tried to provide a complete bibliography of all relevant publications (their number reaches about 500) from the theory of time-periodic solutions to non-linear partial and abstract differential equations whose origin may be put in the early thirties of this century.

Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors' successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago's Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

"Prairies of Possibilities" is a mid-career survey of the poetic output of a highly versatile writer whose work has been published in more than a dozen countries in four languages. In addition to poetry he has written histories, children's stories and memoirs. He has received local, national, and international awards and recognition for his work, the Robert Hayden Poetry Fellowship among them.

Praise for his poetry has come from, among others, William Stafford, one of America's premier poets of the twentieth century, and fellow Kansan. "I prize your book ("Whispers Shouting Glory"); it reaches out for the elements of our lives and does so in a context I know and cherish myself."--"Bill" Herrmann's poetry gives an inside view of one who has overcome serious obstacles that have defeated many others. These include the social isolation of a rural farm, the challenges of dyslexia and ADD, and a traumatic childhood. Despite all this, his love for God's world of nature and the Divine shines through these poems in all their glorious beauty. He interweaves the natural world with profound mystical visions.

This is his ninth published collection of poems.

"Prairies of Possibilities" is a mid-career survey of the poetic output of a highly versatile writer whose work has been published in more than a dozen countries in four languages. In addition to poetry he has written histories, children's stories and memoirs. He has received local, national, and international awards and recognition for his work, the Robert Hayden Poetry Fellowship among them.

Praise for his poetry has come from, among others, William Stafford, one of America's premier poets of the twentieth century, and fellow Kansan. "I prize your book ("Whispers Shouting Glory"); it reaches out for the elements of our lives and does so in a context I know and cherish myself."--"Bill" Herrmann's poetry gives an inside view of one who has overcome serious obstacles that have defeated many others. These include the social isolation of a rural farm, the challenges of dyslexia and ADD, and a traumatic childhood. Despite all this, his love for God's world of nature and the Divine shines through these poems in all their glorious beauty. He interweaves the natural world with profound mystical visions.

This is his ninth published collection of poems.

Nachdruck des Originals von 1826. Auf dem Cover ein Bild von Zar Peter I. "bei der Arbeit."