Mathematics for Physical Chemistry

Mathematics for Physical Chemistry
Author: Robert G. Mortimer
Publisher: Academic Press
Total Pages: 460
Release: 1999
Genre: Mathematics
ISBN: 9780125083409

This is the ideal textbook for those students who want to sharpen their mathematics skills while they are enrolled in a physical chemistry course. It provides students with a review of calculus and differential equations which will enable them to succeed in the physical chemistry course. Features: * Completeness: contains all of the mathematics needed in undergraduate physical chemistry * Clarity: Every sentence, every example, and every equation have been constructed to make it as clear as possible * Applications-oriented: Designed for applications of mathematics, not for mathematical theory; written for a chemist who needs to use mathematics, not for a mathematician who needs to study the underlying theory

Table of Integrals, Series, and Products

Table of Integrals, Series, and Products
Author: I. S. Gradshteyn
Publisher: Academic Press
Total Pages: 1207
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483265641

Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.

Transmission Lines and Wave Propagation

Transmission Lines and Wave Propagation
Author: Philip C. Magnusson
Publisher: CRC Press
Total Pages: 536
Release: 2017-07-12
Genre: Technology & Engineering
ISBN: 1482273926

Transmission Lines and Wave Propagation, Fourth Edition helps readers develop a thorough understanding of transmission line behavior, as well as their advantages and limitations. Developments in research, programs, and concepts since the first edition presented a demand for a version that reflected these advances. Extensively revised, the fourth edition of this bestselling text does just that, offering additional formulas and expanded discussions and references, in addition to a chapter on coupled transmission lines. What Makes This Text So Popular? The first part of the book explores distributed-circuit theory and presents practical applications. Using observable behavior, such as travel time, attenuation, distortion, and reflection from terminations, it analyzes signals and energy traveling on transmission lines at finite velocities. The remainder of the book reviews the principles of electromagnetic field theory, then applies Maxwell's equations for time-varying electromagnetic fields to coaxial and parallel conductor lines, as well as rectangular, circular, and elliptical cylindrical hollow metallic waveguides, and fiber-optic cables. This progressive organization and expanded coverage make this an invaluable reference. With its analysis of coupled lines, it is perfect as a text for undergraduate courses, while graduate students will appreciate it as an excellent source of extensive reference material. This Edition Includes: An overview of fiber optic cables emphasizing the principle types, their propagating modes, and dispersion Discussion of the role of total internal reflection at the core/cladding interface, and the specific application of boundary conditions to a circularly symmetrical propagating mode A chapter on coupled transmission lines, including coupled-line network analysis and basic crosstalk study More information on pulse propagation on lines with skin-effect losses A freeware program available online Solutions manual available with qualifying course adoption

Handbook of Mathematics for Engineers and Scientists

Handbook of Mathematics for Engineers and Scientists
Author: Andrei D. Polyanin
Publisher: CRC Press
Total Pages: 1542
Release: 2006-11-27
Genre: Mathematics
ISBN: 1420010514

Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.

Modeling Natural Phenomena via Cellular Nonlinear Networks

Modeling Natural Phenomena via Cellular Nonlinear Networks
Author: Angela Slavova
Publisher: Cambridge Scholars Publishing
Total Pages: 220
Release: 2018-01-23
Genre: Mathematics
ISBN: 1527507351

This book presents a study of neuroscience models and natural phenomena, such as tsunami waves and tornados. The first part discusses various mathematical models of tsunamis, including the Korteweg–de Vries equation, shallow water equations and the Camassa–Holm equation (CH). In order to study the dynamics of these models, the text uses the Cellular Nonlinear Networks (CNN) approach to discretize the governing equation using a suitable mathematical grid. The second part discusses some of the models arising in the field of neuroscience. It examines the Fitzhugh-Nagumo systems, which are very important for understanding the qualitative nature of nerve impulse propagation. The volume will be of interest to a wide-ranging audience, including PhD students, mathematicians, physicists, engineers and specialists in the domain of nonlinear waves and their applications.

Stellar Evolution Physics

Stellar Evolution Physics
Author: Icko Iben
Publisher: Cambridge University Press
Total Pages: 907
Release: 2012-11-29
Genre: Science
ISBN: 1107016568

Describes how stars respond to microscopic physics, from formation, through hydrogen-burning phases, up to the onset of helium burning.

Fundamentals of Solid State Electronics

Fundamentals of Solid State Electronics
Author: Chih-Tang Sah
Publisher: World Scientific Publishing Company
Total Pages: 1040
Release: 1991-10-30
Genre: Technology & Engineering
ISBN: 9813103493

This is perhaps the most comprehensive undergraduate textbook on the fundamental aspects of solid state electronics. It presents basic and state-of-the-art topics on materials physics, device physics, and basic circuit building blocks not covered by existing textbooks on the subject. Each topic is introduced with a historical background and motivations of device invention and circuit evolution. Fundamental physics is rigorously discussed with minimum need of tedious algebra and advanced mathematics. Another special feature is a systematic classification of fundamental mechanisms not found even in advanced texts. It bridges the gap between solid state device physics covered here with what students have learnt in their first two years of study. Used very successfully in a one-semester introductory core course for electrical and other engineering, materials science and physics junior students, the second part of each chapter is also used in an advanced undergraduate course on solid state devices. The inclusion of previously unavailable analyses of the basic transistor digital circuit building blocks and cells makes this an excellent reference for engineers to look up fundamental concepts and data, design formulae, and latest devices such as the GeSi heterostructure bipolar transistors. This book is also available as a set with Fundamentals of Solid-State Electronics — Study Guide and Fundamentals of Solid-State Electronics — Solution Manual.

Mechanical Vibration and Shock Analysis, Random Vibration

Mechanical Vibration and Shock Analysis, Random Vibration
Author: Christian Lalanne
Publisher: John Wiley & Sons
Total Pages: 479
Release: 2013-03-04
Genre: Technology & Engineering
ISBN: 1118618998

Mechanical Vibration and Shock Analysis, Second Edition Volume 3: Random Vibration The vast majority of vibrations encountered in a real-world environment are random in nature. Such vibrations are intrinsically complicated, but this volume describes a process enabling the simplification of the analysis required, and the analysis of the signal in the frequency domain. Power spectrum density is also defined, with the requisite precautions to be taken in its calculation described together with the processes (windowing, overlapping) necessary for improved results. A further complementary method, the analysis of statistical properties of the time signal, is described. This enables the distribution law of the maxima of a random Gaussian signal to be determined and simplifies calculation of fatigue damage to be made by the avoidance of the direct counting of peaks. The Mechanical Vibration and Shock Analysis five-volume series has been written with both the professional engineer and the academic in mind. Christian Lalanne explores every aspect of vibration and shock, two fundamental and extremely significant areas of mechanical engineering, from both a theoretical and practical point of view. The five volumes cover all the necessary issues in this area of mechanical engineering. The theoretical analyses are placed in the context of both the real world and the laboratory, which is essential for the development of specifications.