# Book Review Mathematik fr Naturwissenschaftler und Ingenieure (Mathematics for Scientists and Engineers). Vol. 1. Vector differential and integral calculus. By A. Jeffrey. Translated by R

код для вставкиСкачатьFor the preparation of flowing powder, tiller-containing rubber mixes, a rubber solution is emulsified in water in the presence of compounds ( 1 ). A solid filler, r.g. carbon black, is introduced and the mixture is precipitated in aqueous sodium silicate (water glass) at 90-95°C and a pH of preferably 1.0 to 3.5. The solvent, e. g. hexane, is distilled off continuously. [DOS 2214121; Chemische Werke Huls AG, Marl (Germany)] [PR 250 IE-W] BOOK REVIEWS Buffers for pH and Metal Ion Control. By D. D. Perrin and B. Dempsey. Chapman and Hall, London 1974. 1st Edit., vii, 176 pp., numerous tables, bound E3.50 Many chemical and biological systems are governed by acidbase equilibria and are therefore critically dependent on the pH of the solution. The pH conditions can be altered by addition of a buffer, a pair consisting of a Lowry-Bronsted acid and its conjugate base. In practice the question arises again and again as to the buffer system most suitable for the individual case, and in this respect the present laboratory primer will be welcomed by all biologists and chemists who have to deal with pH and metal ion buffers in aqueous and nonaqueous media. The theoretical fundamentals are first discussed, briefly and strictly from the standpoint of practical use, this being followed by collections of data about buffers scattered throughout the literature: zwitterion buffers, particularly those for biochemical work and separations, for biological and medical applications, and for physicochemical measurements, as well as metal ion buffers and standards for ion-selective electrodes are tabulated in complete detail, partly in appendices. The limitations and pitfalls in working with buffers are discussed, as are the disturbances to be borne in mind on a particular choice of buffer, but here unfortunately without always referring to the literature. The competition of structurally similar sugars with Tris buffers could have been added. The construction of pH-buffer tables from the thermodynamic pK values is explained: the appended programs are in FOCAL instead of the BASIC that is understood by the usual desk-top computers, but transposition is not difficult. The experimentalist will also welcome the description of the purification of buffers and the introduction to the preparation of standard solutions. The book thus constitutes both a useful and a reliable and convenient aid in every chemical, biochemical, or biological laboratory. L . Jaenicke Theo Ankel NB 245 IE] [NB 246 IE] Mathematik fur Naturwissensshaftler und Ingenieure (Mathematics for Scientists and Engineers). Vol. 1.Vector, differential and integral calculus. By A . Jeffrey. Translated by R. Janoschek. Verlag Chemie GmbH, Weinheim 1973. 1st Edit, viii, 385 pp., 86 figures, 18 tables, paperback, DM 39.-. This book is based on an introductory course in mathematics for engineering students, corresponding roughly to the material of Analysis I and I1 used at German universities. The original English edition, comprising one volume, has been divided into two volumes in the translation. The eight chapters of Volume 1 deal with thematerial of Analysis I, i. e. with differential and integral calculus. Chapter 1 begins with a short introduction to the elementary theory of sets and describes the 190 basic properties of the real number system; the modern notation is used. After this concession to modern trends in current mathematics the author remains for the rest of the book within the usual “classical” framework of analysis. The following three chapters deal with the concept of a function, numerical series, and complex numbers, and then lead on to elementary vector calculus. Chapter 5 is concerned with differentiation, including partial derivatives. A special chapter on exponential functions, hyperbolic functions, and logarithms is followed by the two final chapters on integral calculus with a detailed description of integration procedures. A remarkable feature ofthis book is that it is an attempt-otherwise rarely undertaken-to combine rigorous mathematical methods of proof with opportunity to practice the calculation techniques. The author has certainly succeeded in attaining this aim, by apt selection of the material. The mathematical proofs provided with every important statement are simple and clear and are thus easily understood. Moreover, the text contains many examples with detailed descriptions of the approach to the solution, which makes it easy for the reader to learn how to handle formulas and relationships. Numerous practice exercises at the end of each chapter contribute to this aim; hints on how to arrive at the solution are given in the Appendix. The examples and practice problems are taken from scientific and technical fields wherever possible, in order to demonstrate the range of application of the mathematical apparatus. The systematic division into text, definitions, propositions, and examples increases the clarity of the work. The book may be highly recommended to all students of scientific and technical disciplines in the first few terms and also for private study. Comprehensive Biochemistry. Vol. 29 A. Comparative Biochemistry, Molecular Evolution. Edited by M.Florkin and E. H . Stotz. Elsevier Scientific Publ. Comp., Amsterdam 1974. 1st Edit., xii, 328 pp., 67 figures, 20 tables, bound Dfl. 90-. The present volume in this still continuing series of texts“] contains two chapters, both dealing with evolution : “Concepts of Molecular Biosemiotics and of Molecular Evolution” by M. Florkin and “Biochemical Evolution in Plants” by T. Swain. The first of these titles will convey little even to a fairly sophisticated reader. A glossary provides help, in which he finds, e. g. “Bioseme. Minimal configuration aspect, carrier [*] Cf. Angew. Chem. internat. Edit. 13, 825 (1974). A I I ~ C H .Chem. . inrrmaf. Edir. / ‘Vol. 14 (1975) i No. 3

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