Mathematics
658 books
Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within. The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By ...
This book provides an introduction to the interplay between linear algebra and dynamical systems in continuous time and in discrete time. It first reviews the d autonomous case for one matrix A via induced dynamical systems in R and on Grassmannian manifolds. Then the main nonautonomous approaches are presented for which the time dependency of A(t) is given via skew-product flows using periodicity, or topological (chain recurrence) or ergodic properties ...
Fourier Analysis is an important area of mathematics, especially in light of its importance in physics, chemistry, and engineering. Yet it seems that this subject is rarely offered to undergraduates. This book introduces Fourier Analysis in its three most classical settings: The Discrete Fourier Transform for periodic sequences, Fourier Series for periodic functions, and the Fourier Transform for functions on the real line.
The presentation is accessible for ...
Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that “straighten out” under magnification. Fractals, which take their name from the shape of fractured objects, can be characterized as retaining their lack of smoothness under magnification. The properties of fractals come to light under repeated magnification, which we refer to informally as “zooming in”. This zooming-in process has ...
A unique, hands-on introduction to the Finite Element Method
Fundamental Finite Element Analysis and Applications: with Mathematica® and MATLAB® Computations is an innovative, practical guide to discovering the Finite Element Method (FEM). Providing a helpful balance between theory and application, it presents the FEM as a tool to find approximate solutions of differential equations, making it a useful resource for students from a variety of disciplines. ...
Information theory and inference, often taught separately, are here united in one entertaining textbook. These topics lie at the heart of many exciting areas of contemporary science and engineering - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics, and cryptography.
This textbook introduces theory in tandem with applications. Information theory is taught alongside practical ...
The present book ‘Measurement, Evaluation and Assessment of Learning’ is a comprehensive work. The focus is on making educational and mental measurement more valid and reliable and using the evidences for improving pupils' achievements, instructional effectiveness and validation of the teaching-learning process.
The book would enable the pupil teachers and other clientele to understand the concept, principles, processes and tools of evaluation and ...
Nonlinear Programming: Theory and Algorithms—now in an extensively updated Third Edition—addresses the problem of optimizing an objective function in the presence of equality and inequality constraints. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and/or the nonlinearity of any constraints. The Third Edition begins with a general introduction to nonlinear ...
Operations Research is a discipline that uses quantitative and mathematical techniques for decision-making when the selection involved is complex and cannot be arrived at using routine judgment and expertise. The book has been designed for graduate and post-graduate students of engineering, mathematics, statistics and management in Indian universities. The book provides a practical introduction to the primary concepts and techniques of optimization and deals at ...
Optimum and Adaptive Signal Processing has been developed in a simple, logical and directed way. The ease of understanding is facilitated by providing all the intermediate steps in a mathematical expression derivation and its physical meaning, preserving the rigour and depth of the subject. Chapters 2 to 5, covering the background, make the book self-contained. The detailed treatment of both optimum and adaptive processing (unlike in some of the other books), ...
This established textbook is noted for its coverage of optimization methods that are of practical importance. It provides a thorough treatment of standard methods such as linear and quadratic programming, Newton-like methods and the conjugate gradient method. The theoretical aspects of the subject include an extended treatment of optimality conditions and the significance of Lagrange multipliers. The relevance of convexity theory to optimization is also not ...
This comprehensive text written for M.Sc. (Physics, Chemistry), M.Phil. (Physics) and B.Sc. (Hons) students aims at presenting the fundamentals of statistical mechanics in a clear and concise manner.
In fourteen chapters, the book deals with all aspects of statistical mechanics: Thermodynamics, Microcanonical Ensemble, Canonical Ensemble, Grand Canonical Ensemble, MB Distribution, FD Distribution, BE Distribution for an ideal gas. The text also delves into ...
Vector is one of the important concepts necessary for the study of Physics, Applied Mathematics and Engineering. This book presents the principal topics in the subject – scalars, vectors, vector algebra, vector differentiation and the differential operator, vector integration and integral theorems – in a clear and simple manner. For each topic, the definitions of important terms, properties and deductions are provided, along with worked-out examples ...
