Here is the listing of Best reference books on Mathematical Methods of Materials Engineering.
|1. “Mathematical Methods for Physics and Engineering: a Comprehensive Guide” by K F Riley, M P Hobson and S J Bence
Book Review: This book is useful for the subjects of physical sciences and mathematics at the undergraduate levels. The book contains very good description of all the topics and also has many worked examples and exercises. The book also contains many applications related to complex variables and quantum operators. Information on statistics and numerical integration has also been added in the book. Most of the exercise problems in the book have hints and solutions which some others do not have hints and answers.
|2. “Numerical Recipes in C: The Art of Scientific Computing” by W H Press, S A Teukolsky, W T Vetterling, and B P Flannary
Book Review: This book is written by four famous scientists in the field of academics and industry and covers the basic concepts related to mathematics and computer science along with many working routines. This book is mostly known for scientific computing and has around 400 routines on numerical recipes and the book also adopts object oriented style for demonstrating scientific applications. The book contains upgraded routines as well. The book also contains chapters on Gaussian mixture models, hierarchical clustering, polygons, triangles, squares and many other statistical distributions.
|3. “Theory of Structural Transformations in Solids” by A G Khachaturyan
Book Review: This book demonstrates both practical and theory concepts related to phase transformation in alloys and also carries out formulation of phase transformations that exists in metallurgy. The book also applies solid state concepts to structure problems that occur in alloys. The book also examines the changes that occur in atomic structure, morphology that occur due to ordering, decomposition and coarsening. This book is very useful for graduate and undergraduate courses in metallurgy, solid state physics and chemistry, materials science and is of great use to the professionals dealing with phase transformations.
|4. “Physical Properties of Crystals” by J F Nye
Book Review: This contains all the updates and advancements compared to the earlier edition and also contain a new chapter on each of the advancement made in the field. The book also carries out formulation of physical properties of crystals in tensor notation and also presents the properties related to tensors in simple mathematical terms and thermodynamic relations with mathematics. The book also discusses the tensors that are of first and second ranks. The book also demonstrates the matrix methods that are portrayed as natural theoretical developments. The book also discusses other optical and thermodynamic concepts.
Sanfoundry Global Education & Learning Series – Best Reference Books!