Chirality and stereogenicity are closely related concepts and their differentiation and description is still a challenge in chemoinformatics. In his 2015 book, Fujita developed a new stereoisogram approach that provided theoretical framework for mathematical aspects of modern stereochemistry. This new edition includes a new chapter on Computer-Oriented Representations developed by the author based on Groups, Algorithms, Programming (GAP) system.
Twenty-nine papers from the March 1998 workshop connect issues between chemistry, discrete mathematics, and computer science. Participants discussed theoretical problems of chemistry expressed by discrete mathematics, chemical graph algorithms, coding theory applied to chemistry, applications of discrete mathematics in the chemical industry, open problems and directions for research in discrete mathematical chemistry, and software for discrete mathematical chemistry. Specific topics include isomorphism rejection in structure generation programs, fast embeddings for planar molecular graphs, geometric symmetry and chemical equivalence, and numerical solution of the Laplace equation in chemical space. Annotation copyrighted by Book News, Inc., Portland, OR.
Chirality and stereogenicity are closely related concepts and their differentiation and description is still a challenge in chemoinformatics. In his 2015 book, Fujita developed a new stereoisogram approach that provided theoretical framework for mathematical aspects of modern stereochemistry. This new edition includes a new chapter on Computer-Oriented Representations developed by the author based on Groups, Algorithms, Programming (GAP) system.
This well-illustrated and well-referenced book provides a systematic introduction to the modern aspects of the topographical stereochemistry of coordination compounds, which are made up of metal ions surrounded by other non-metal atoms, ions and molecules.
This seminal series, first edited by Ernest Eliel, responsible for some of the major advances in stereochemistry and the winner of the ACS Priestley Medal in 1996, provides coverage of the major developments of the field of stereochemistry. The scope of this series is broadly defined to encompass all fields of chemical and biological sciences that are founded on molecular and supramolecular interactions. Insofar as chemical, physical, and biological properties are determined by molecular shape and structure, the importance of stereochemistry is fundamental to and consequential for all natural sciences. Topics in Stereochemistry serves as a multidisciplinary series that enriches all of chemistry. Aimed at advanced students, university professors and teachers as well as researchers in pharmaceutical, agricultural, biotechnological, polymer, materials, and fine chemical industries, Topics in Stereochemistry publishes definitive and scholarly reviews in stereochemistry and has long been recognized as the gold standard reference work in this field. Covering the effect of chirality on all aspects of molecular interaction from the fundamental physical chemical properties of molecules and their molecular physics to the application of chirality in new areas such as its applications in materials science, Topics in Stereochemistry explores a wide variety of properties, both physical and chemical of isomers with a view to their applications in a number of disciplines from biochemistry to materials science.
This collection of twenty-six articles by leading experts is the first truly comprehensive account of the gas-phase electron diffraction technique. It is written for the non-specialist users of structural information. Part A discusses the development and present capabilities of gas electron diffraction. Several contributions deal with the combined application of various techniques. Part B contains the structural information and also presents trends and interpretations of structural variations.
A thorough understanding of stereochemistry is essential for the comprehension of almost all aspects of modern organic chemistry. It is also of great significance in many biochemical and medicinal disciplines, since the stereoisomers of a compound can have dramatically different biological properties. This text explains how the different properties of stereoisomers of a compound arise, and what processes can be used to prepare and analyze stereoisomerically pure compounds. It also presents prominent coverage of the stereochemistry of inorganic and organometallic compounds, which is likely to increase in importance, as these compounds are used as symmetric catalysts in asymmetric synthesis. Modern stereochemical terminology is used throughout, although reference is also made to older terms which are still widely used. A set of problems at the end of each chapter aims to further the reader's understanding of how the content can be applied. The book is designed mainly as a textbook for undergraduate students and as a reference source for more advanced levels, but is also intended for academic and professional organic chemists.
While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments – the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete. In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.
International Series in Modern Applied Mathematics and Computer Science, Volume 10: Symmetry: Unifying Human Understanding provides a tremendous scope of "symmetry, covering subjects from fractals through court dances to crystallography and literature. This book discusses the limits of perfection, symmetry as an aesthetic factor, extension of the Neumann-Minnigerode-Curie principle, and symmetry of point imperfections in solids. The symmetry rules for chemical reactions, matching and symmetry of graphs, mosaic patterns of H. J. Woods, and bilateral symmetry in insects are also elaborated. This text likewise covers the crystallographic patterns, Milton's mathematical symbol of theodicy, symmetries of soap films, and gapon formalism. This volume is a good source for researchers and specialists concerned with symmetry.
