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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

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For 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]
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
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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