Best Reference Books – Mathematical and Physical Theories in Electrical Engineering

We have compiled the list of Top 10 Best Reference Books on Mathematical and Physical Theories In Electrical Engineering subject. These books are used by students of top universities, institutes and colleges. Here is the full list of top 10 best books on Mathematical and Physical Theories In Electrical Engineering along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Mathematical and Physical Theories In Electrical Engineering subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Mathematical and Physical Theories In Electrical Engineering" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

1. “Systems and Control” by Stanislaw H Zak

Book Review: This book presents control, modeling and analysis of dynamic systems. The book also provides with the tools that are necessary for control system design and illustrates how dynamical system theory fits into practical applications. The book also presents classical methods and techniques of control engineering in a nice way with the help of classical tools description. The book also presents neural networks, fuzzy systems, genetic algorithms and basics of chaotic systems. This book is very useful for graduate and undergraduate courses in nonlinear systems and automatic control.

2. “Interpretation of Classical Electromagnetism” by W Geraint V Rosser

Book Review: This book provides a very nice interpretation of all the laws of electromagnetism in a coherent manner. This book provides detailed description about vector analysis which is very useful for undergraduate courses. The book also provides full range of applications of individual laws. This book acts as a very good textbook for graduate and undergraduate courses. This book is very useful for physicists, electrical engineers and applied mathematicians.

3. “Advanced Calculus for Users” by Alain Robert

Book Review: This book is very useful for physicists and engineers in the field of advanced calculus. The book also presents the concepts of linearization, derivative and differential forms, finite dimensional vector spaces, functional analysis basics, infinite dimensional function spaces, convergence concepts for sequences and series of functions, fourier series and various concepts of historical applications.

4. “The Mathematics of Coding Theory” by Paul Garrett

Book Review: This book provides introduction to contemporary application of number theory, abstract algebra and probability. The book also contains various computational examples thereby allowing the readers to apply, practice and test their understanding of key concepts. The topics included in the book are probability, entropy, compression, Shannon theorem, cyclic redundancy checks and error correction. This book is very useful for people who are enthusiastic about algebra and number theory.
5. “Many-Electron Densities and Reduced Density Matrices” by Jerzy Cioslowski

“Many-Electron Densities and Reduced Density Matrices” Book Review: This book explores the emerging fields of reduced density matrices and many-electron densities. It analyzes the research conducted in these fields and studies how they’ve become the central variables of new electron correlation formalisms and their effect in quantum chemistry. Students, researchers, and professionals can refer to this book.

6. “Mathematical and Numerical Modelling in Electrical Engineering” by Pekka Neittaanmaki and Michal Krizek

“Mathematical and Numerical Modelling in Electrical Engineering” Book Review: This book explores the importance of mathematical modeling in electrical science and engineering. It describes the replacement of costly and lengthy experiments with computational analysis in recent times and how mathematical formulation of problems and accuracy of numerical solutions play an important role in the reality of computational results. This book is suitable for students, teachers, researchers, and professionals.

7. “Cohomological Methods in Homotopy Theory” by Stephen B

“Cohomological Methods in Homotopy Theory” Book Review: This book summarizes the state of knowl­edge in a broad area of modern homotopy theory. Abstract stable homotopy, model categories, p-compact groups, mod­ules over the Steenrod algebra, homotopical localizations and cellular approximations, and classifying spaces for proper actions of discrete groups are some of the interesting topics which are discussed in great detail. Other articles are also provided which deal with cohomology of fi­nite and profinite groups, configuration spaces, Hochschild homology, K-theory and other generalized cohomology theories, Lusternik­ Schnirelmann category, stable and unstable splittings. Multidisciplinary subjects like quantum field theory, differential geometry, homo­topical dynamics, tilings, and various aspects of group theory have also been added to this volume.

8. “A Mathematical Theory of Design: Foundations, Algorithms and Applications” by Dan Braha Oded

“A Mathematical Theory of Design: Foundations, Algorithms and Applications” Book Review: This book introduces a mathematical theory of design called the Formal Design Theory which develops a domain independent core model of the design process. This theory delves into issues such as algebraic representation of design artifacts, idealized design process cycle, and computational analysis and measurement of design process complexity and quality. With the help of Formal design Theory, theorems and corollaries can be derived along with development of specific analytical and constructive methodologies. The book starts off with a conceptual approach followed by the theoretical concepts of Formal Design Theory. Algorithmic and pragmatic implications are deduced from them. Detailed case-studies are provided to illustrate the theory and the methods of the design process. Additional practical considerations are evaluated with the help of examples from various disciplines.

9. “Fundamentals of the Physical Theory of Diffraction” Pyotr Ya. Ufimtsev

“Fundamentals of the Physical Theory of Diffraction” Book Review: The book presents a detailed treatment of the modern Physical Theory of Diffraction based on the concept of elementary edge waves. A thorough discussion on reflected and diffracted rays/beams and the areas surrounding caustics and foci are provided. The book also demonstrates the equivalence relationships between acoustic and electromagnetic diffracted waves. Analytical expressions are derived and their numerical results are plotted to illustrate the physical structure of the scattering objects in a total diffracted field. Shadow radiation is also elucidated and proven to contain half the total scattered power. Examples of the diffraction of acoustic and electromagnetic waves at perfectly reflecting objects are provided along with exercise sets to help readers learn how to apply this theory to solve scattering problems and understand the diffraction phenomena.

10. “Multipole Theory in Electromagnetism” by R E Raab

“Multipole Theory in Electromagnetism” Book Review: This book elaborates the successes of multipole theory from its classical, quantum, unphysical, and symmetry aspects. A review on transformation theory is provided as it removes the unphysical properties. The book can be used to study anisotropic materials, the effect of electromagnetic fields on condensed matter as well as the multipole effects. The emerging use of computer calculations in applications of multipole theory has also been noted. This book is ideal for physics students, theoretical chemists, solid state physicists, molecular physicists, optical physicists, engineers, applied mathematicians, and computational physicists & chemists.

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