This set of three volumes aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). Written by experts, each chapter is self-contained and aims to clearly illustrate some of the mathematical theories of nonlinear systems. These volumes should be suitable for graduate and postgraduate students in mathematics, the natural sciences, and engineering sciences, as well as for researchers (both pure and applied) interested in nonlinear systems. The common theme throughout all the volumes is on solvable and integrable nonlinear systems of equations and methods/theories that can be applied to analyze those systems. Some applications are also discussed. Features Clearly illustrates the mathematical theories of nonlinear systems and their progress to both the non-expert and active researchers in this area. Suitable for graduate students in mathematics, applied mathematics and some of the engineering sciences. Written in a careful pedagogical manner by those experts who have been involved in the research themselves, with each contribution being reasonably self-contained.

Features Clearly illustrate the mathematical theories of nonlinear systems and its progress to both the non-expert and active researchers in this area Suitable for graduate students in Mathematics, Applied Mathematics and some of the Engineering sciences Written in a careful pedagogical manner by those experts who have been involved in the research themselves, and each contribution is reasonably self-contained

Features Clearly illustrate the mathematical theories of nonlinear systems and its progress to both the non-expert and active researchers in this area Suitable for graduate students in Mathematics, Applied Mathematics and some of the Engineering sciences Written in a careful pedagogical manner by those experts who have been involved in the research themselves, and each contribution is reasonably self-contained

Nonlinear Systems and Their Remarkable Mathematical Structures aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). Written by experts, each chapter is self-contained and aims to clearly illustrate some of the mathematical theories of nonlinear systems. The book should be suitable for some graduate and postgraduate students in mathematics, the natural sciences, and engineering sciences, as well as for researchers (both pure and applied) interested in nonlinear systems. The common theme throughout the book is on solvable and integrable nonlinear systems of equations and methods/theories that can be applied to analyze those systems. Some applications are also discussed. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-expert in this field Written to be accessible to some graduate and postgraduate students in mathematics and applied mathematics Serves as a literature source in nonlinear systems

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics

The Glasgow style of decorative arts evolved in the 1890s at the Glasgow School of Art, from influences begun by the Art Nouveau and Arts and Crafts movments in Great Britain. It was characterized by the juxtaposition of elongated verticals and sensuous bright, light, feminine designs, such as the rose, butterfly, peacock, singing birds, circles, crescents, and teardrop shapes. The text explains the meanings of each motif. Biographies of 20 influential artists in the Glasgow style include Charles Rennie Mackintosh, Herbert McNair, Margaret Macdonald, and Frances Macdonald, Their broad spectrum of designs, shown here in over 530 beautiful color photographs, covered walls, furniture, metalwork, jewelry, embroidery, textiles, dress, pottery, stained glass, and book illustration. Their goal was to support themselves by creating useful decorative arts that presented their new aesthetic. Today, Glasgow style decorative arts are avidly collected and cherished for their originality and handsome docor.

Boundaries and Hulls of Euclidean Graphs: From Theory to Practice presents concepts and algorithms for finding convex, concave and polygon hulls of Euclidean graphs. It also includes some implementations, determining and comparing their complexities. Since the implementation is application-dependent, either centralized or distributed, some basic concepts of the centralized and distributed versions are reviewed. Theoreticians will find a presentation of different algorithms together with an evaluation of their complexity and their utilities, as well as their field of application. Practitioners will find some practical and real-world situations in which the presented algorithms can be used.

Embroidered textiles are the most personal and immediate art form practiced by the Arts & Crafts Movement (c. 1860-1910). This art from another time has its own story to tell. Some items are the humble workaday pieces for utility in the home, while others are priceless works of art. Whether you are a long time collector or have only recently become interested in the Arts & Crafts Movement, this guide will help you better understand the history behind such needlework. This book features over 380 beautiful photographs of the work of famous designers including William Morris and Gustav Stickley. You will see the English, the Scottish, and the American styles of Arts & Crafts needlework and come to understand their similarities and differences. This book will delight all connoisseurs of textiles as well as Arts & Crafts aficionados.

This volume contains seven articles of Leonhard Euler (1707-1783) and four articles of his son, Albrecht Euler. The articles on heat, electricity and magnetism are in Latin (5 articles) and in French (6 articles). The extensive introduction is written in English.

With volume 10, series tertia is now completely available.

Photophysics of Carbon Nanotubes Interfaced with Organic and Inorganic Materials describes physical, optical and spectroscopic properties of the emerging class of nanocomposites formed from carbon nanotubes (CNTs) interfacing with organic and inorganic materials. The three main chapters detail novel trends in photophysics related to the interaction of light with various carbon nanotube composites from relatively simple CNT/small molecule assemblies to complex hybrids such as CNT/Si and CNT/DNA nanostructures. The latest experimental results are followed up with detailed discussions and scientific and technological perspectives to provide a through coverage of major topics including: -Light harvesting, energy conversion, photoinduced charge separation and transport in CNT based nanohybrids -CNT/polymer composites exhibiting photoactuation; and -Optical spectroscopy and structure of CNT/DNA complexes. Including original data and a short review of recent research, Photophysics of Carbon Nanotubes Interfaced with Organic and Inorganic Materials makes this emerging field of photophysics and its applications available to academics and professionals working with carbon nanotube composites in fundamental and applied fields

1. Renal failure following circulatory shock develops because of per- sistent vasoconstriction which is just sufficient to prevent glomerular filtration. Hypoxia of renal tissue has not been demonstrated in surviving cases. 2. During the low-pressure phase in circulatory shock the remaining blood flow through the medullary regions washes out the osmotic gradient built up by the countercurrent system of Henle's loops, so that a concentrated urine cannot be formed. 3. During recovery from circulatory failure the osmotic gradient of the medullary region can only be built up if sufficient fluid from the glomerular filtrate reaches the countercurrent system. The greater the GF, the faster the gradient is built up. References 1. BoYLAN, J. W. , and E. AssHAUER: Unpublished data. -2. DEETJEN, P. , and K. KRAMER: Pfliigers Arch. Physiol. (G. ) (in press). - 3. KRAMER, K. , and K. ULLRICH: Pfliigers Arch. Physiol. (G. ) 267,251 (1958). -4. KRA- MER, K. , K. THURAU and P. DEETJEN: Pfliigers Arch. Physiol. (G. ) 270, 251 (1960). - 5. KRAMER, K. , and P. DEETJEN: Pfliigers Arch. Physiol. (G. ) 271, 782 (1960). -6. KRAMER, K. , and P. DEETJEN: Unpublished data. - 7. KuHN, W. , and A. RAMEL: Helv. chim. acta 42,628 (1959). - 8. LASSEN, N. A. , 0. MuNcK and J. H. THAYSEN: Acta physiol. Scand. IJ1, 371 (1961). - 9. MUNCK, 0. : Renal Circulation in Acute Renal Failure. Oxford 1958.

From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..."

"Photophysics of Carbon Nanotubes Interfaced with Organic and Inorganic Materials "describes physical, optical and spectroscopic properties of the emerging class of nanocomposites formed from carbon nanotubes (CNTs) interfacing with organic and inorganic materials.

The three main chapters detail novel trends in photophysics related to the interaction of light with various carbon nanotube composites from relatively simple CNT/small molecule assemblies to complex hybrids such as CNT/Si and CNT/DNA nanostructures. The latest experimental results are followed up with detailed discussions and scientific and technological perspectives to provide a through coverage of major topics including:

-Light harvesting, energy conversion, photoinduced charge separation and transport in CNT based nanohybrids

-CNT/polymer composites exhibiting photoactuation; and

-Optical spectroscopy and structure of CNT/DNA complexes.

Including original data and a short review of recent research, "Photophysics of Carbon Nanotubes Interfaced with Organic and Inorganic Materials" makes this emerging field of photophysics and its applications available to academics and professionals working with carbon nanotube composites in fundamental and applied fields

Often I have considered the fact that most of the difficulties which block the progress of students trying to learn analysis stem from this: that although they understand little of ordinary algebra, still they attempt this more subtle art. From this it follows not only that they remain on the fringes, but in addition they entertain strange ideas about the concept of the infinite, which they must try to use. Although analysis does not require an exhaustive knowledge of algebra, even of all the algebraic technique so far discovered, still there are topics whose con sideration prepares a student for a deeper understanding. However, in the ordinary treatise on the elements of algebra, these topics are either completely omitted or are treated carelessly. For this reason, I am cer tain that the material I have gathered in this book is quite sufficient to remedy that defect. I have striven to develop more adequately and clearly than is the usual case those things which are absolutely required for analysis. More over, I have also unraveled quite a few knotty problems so that the reader gradually and almost imperceptibly becomes acquainted with the idea of the infinite. There are also many questions which are answered in this work by means of ordinary algebra, although they are usually discussed with the aid of analysis. In this way the interrelationship between the two methods becomes clear."

I. Containing the Analysis of Determinate Quantities.- Section I. Of the Different Methods of calculating Simple Quantities.- Chap. I. Of Mathematics in general.- II. Explanation of the signs + plus and - minus.- III. Of the Multiplication of Simple Quantities.- IV. Of the Nature of whole Numbers, or Integers, with respect to their Factors.- V. Of the Division of Simple Quantities.- VI. Of the Properties of Integers, with respect to their Divisors.- VII. Of Fractions in general.- VIII. Of the Properties of Fractions.- IX. Of the Addition and Subtraction of Fractions.- X. Of the Multiplication and Division of Fractions.- XI. Of Square Numbers.- XII. Of Square Roots, and of Irrational Numbers resulting from them.- XIII. Of Impossible, or Imaginary Quantities, which arise from the same source.- XIV. Of Cubic Numbers.- XV. Of Cube Roots, and of Irrational Numbers resulting from them.- XVI. Of Powers in general.- XVII. Of the Calculation of Powers.- XVIII. Of Roots, with relation to Powers in general.- XIX. Of the Method of representing Irrational Numbers by Fractional Exponents.- XX. Of the different Methods of Calculation, and of their Mutual Connexion.- XXI. Of Logarithms in general.- XXII. Of the Logarithmic Tables now in use.- XXIII. Of the Method of expressing Logarithms.- Section II. Of the different Methods of calculating Compound Quantities.- Chap. 1. Of the Addition of Compound Quantities.- II. Of the Subtraction of Compound Quantities.- III. Of the Multiplication of Compound Quantities.- IV. Of the Division of Compound Quantities.- V. Of the Resolution of Fractions into Infinite Series.- VI. Of the Squares of Compound Quantities.- Chap. VII. Of the Extraction of Roots applied to Compound Quantities.- VIII. Of the Calculation of Irrational Quantities.- IX. Of Cubes, and of the Extraction of Cube Roots.- X. Of the higher Powers of Compound Quantities.- XI. Of the Transposition of the Letters, on which the demonstration of the preceding Rule is founded.- XII. Of the Expression of Irrational Powers by Infinite Series.- XIII. Of the Resolution of Negative Powers.- Section III. Of Ratios and Proportions.- Chap. I. Of Arithmetical Ratio, or of the Difference between two Numbers.- II. Of Arithmetical Proportion.- III. Of Arithmetical Progressions.- IV. Of the Summation of Arithmetical Progressions.- V. Of Figurate, or Polygonal Numbers.- VI. Of Geometrical Ratio.- VII. Of the greatest Common Divisor of two given Numbers.- VIII. Of Geometrical Proportions.- IX. Observations on the Rules of Proportion and their Utility.- X. Of Compound Relations.- XI. Of Geometrical Progressions.- XII. Of Infinite Decimal Fractions.- XIII. Of the Calculation of Interest.- Section IV. Of Algebraic Equations, and of the Resolution of those Equations.- Chap. I Of the Solution of Problems in General.- II. Of the Resolution of Simple Equations, or Equations of the First Degree.- III. Of the Solution of Questions relating to the preceding Chapter.- IV. Of the Resolution of two or more Equations of the First Degree.- V. Of the Resolution of Pure Quadratic Equations.- VI. Of the Resolution of Mixed Equations of the Second Degree.- VII. Of the Extraction of the Roots of Polygonal Numbers.- VIII. Of the Extraction of Square Roots of Binomials.- Chap. IX. Of the Nature of Equations of the Second Degree.- X. Of Pure Equations of the Third Degree.- XI. Of the Resolution of Complete Equations of the Third Degree.- XII. Of the Rule of Cardan, or of Scipio Ferreo.- XIII. Of the Resolution of Equations of the Fourth Degree.- XIV. Of the Rule of Bombelli for reducing the Resolution of Equations of the Fourth Degree to that of Equations of the Third Degree.- XV. Of a new Method of resolving Equations of the Fourth Degree.- XVI. Of the Resolution of Equations by Approximation.- II. Containing the Analysis of Indeterminate Quantities.- Chap. I. Of the Resolution of Equations of the first Degree, which contain more than one unknown Quantity.- II. Of the Rule which is c

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfangen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen fur die historische wie auch die disziplingeschichtliche Forschung zur Verfugung, die jeweils im historischen Kontext betrachtet werden mussen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 1 aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). Written by experts, each chapter is self-contained and aims to clearly illustrate some of the mathematical theories of nonlinear systems. The book should be suitable for some graduate and postgraduate students in mathematics, the natural sciences, and engineering sciences, as well as for researchers (both pure and applied) interested in nonlinear systems. The common theme throughout the book is on solvable and integrable nonlinear systems of equations and methods/theories that can be applied to analyze those systems. Some applications are also discussed. Features: Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-expert in this field Written to be accessible to some graduate and postgraduate students in mathematics and applied mathematics Serves as a literature source in nonlinear systems

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics

Boundaries and Hulls of Euclidean Graphs: From Theory to Practice presents concepts and algorithms for finding convex, concave and polygon hulls of Euclidean graphs. It also includes some implementations, determining and comparing their complexities. Since the implementation is application-dependent, either centralized or distributed, some basic concepts of the centralized and distributed versions are reviewed. Theoreticians will find a presentation of different algorithms together with an evaluation of their complexity and their utilities, as well as their field of application. Practitioners will find some practical and real-world situations in which the presented algorithms can be used.

This book presents a collection of 33 strictly refereed full papers on combinatorics and computer science; these papers have been selected from the 54 papers accepted for presentation at the joint 8th Franco-Japanese and 4th Franco-Chinese Conference on Combinatorics in Computer Science, CCS '96, held in Brest, France in July 1995.
The papers included in the book have been contributed by authors from 10 countries; they are organized in sections entitled graph theory, combinatorial optimization, selected topics, and parallel and distributed computing.

Often I have considered the fact that most of the difficulties which block the progress of students trying to learn analysis stem from this: that although they understand little of ordinary algebra, still they attempt this more subtle art. From this it follows not only that they remain on the fringes, but in addition they entertain strange ideas about the concept of the infinite, which they must try to use. Although analysis does not require an exhaustive knowledge of algebra, even of all the algebraic technique so far discovered, still there are topics whose con sideration prepares a student for a deeper understanding. However, in the ordinary treatise on the elements of algebra, these topics are either completely omitted or are treated carelessly. For this reason, I am cer tain that the material I have gathered in this book is quite sufficient to remedy that defect. I have striven to develop more adequately and clearly than is the usual case those things which are absolutely required for analysis. More over, I have also unraveled quite a few knotty problems so that the reader gradually and almost imperceptibly becomes acquainted with the idea of the infinite. There are also many questions which are answered in this work by means of ordinary algebra, although they are usually discussed with the aid of analysis. In this way the interrelationship between the two methods becomes clear."

From the preface of the author: ..".I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..."