Books in Applied mathematics

New Approaches of Protein Function Prediction from Protein Interaction Networks

1st Edition
January 11, 2017
Jingyu Hou
English
Paperback
9 7 8 0 1 2 8 0 9 8 1 4 1
eBook
9 7 8 0 1 2 8 0 9 9 4 4 5

New Approaches of Protein Function Prediction from Protein Interaction Networks contains the critical aspects of PPI network based protein function prediction, including semantically assessing the reliability of PPI data, measuring the functional similarity between proteins, dynamically selecting prediction domains, predicting functions, and establishing corresponding prediction frameworks. Functional annotation of proteins is vital to biological and clinical research and other applications due to the important roles proteins play in various biological processes. Although the functions of some proteins have been annotated via biological experiments, there are still many proteins whose functions are yet to be annotated due to the limitations of existing methods and the high cost of experiments. To overcome experimental limitations, this book helps users understand the computational approaches that have been rapidly developed for protein function prediction.

An Invitation to Applied Mathematics

1st Edition
September 24, 2016
Carmen Chicone
English
Hardback
9 7 8 0 1 2 8 0 4 1 5 3 6
eBook
9 7 8 0 1 2 8 0 4 1 5 4 3

An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics. Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students. Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics.

Cognitive Computing: Theory and Applications

1st Edition
Volume 35
September 9, 2016
Vijay V Raghavan + 3 more
English
Hardback
9 7 8 0 4 4 4 6 3 7 4 4 4
eBook
9 7 8 0 4 4 4 6 3 7 5 1 2

Cognitive Computing: Theory and Applications, written by internationally renowned experts, focuses on cognitive computing and its theory and applications, including the use of cognitive computing to manage renewable energy, the environment, and other scarce resources, machine learning models and algorithms, biometrics, Kernel Based Models for transductive learning, neural networks, graph analytics in cyber security, neural networks, data driven speech recognition, and analytical platforms to study the brain-computer interface.

Cybersecurity and Applied Mathematics

1st Edition
June 7, 2016
Leigh Metcalf + 1 more
English
Paperback
9 7 8 0 1 2 8 0 4 4 5 2 0
eBook
9 7 8 0 1 2 8 0 4 4 9 9 5

Cybersecurity and Applied Mathematics explores the mathematical concepts necessary for effective cybersecurity research and practice, taking an applied approach for practitioners and students entering the field. This book covers methods of statistical exploratory data analysis and visualization as a type of model for driving decisions, also discussing key topics, such as graph theory, topological complexes, and persistent homology. Defending the Internet is a complex effort, but applying the right techniques from mathematics can make this task more manageable. This book is essential reading for creating useful and replicable methods for analyzing data.

Structural Analysis Systems

1st Edition
June 6, 2016
A. Niku-Lari
English
eBook
9 7 8 1 4 8 3 1 6 0 1 2 2

Structural Analysis Systems: Software—Hardware Capability—Compatibi... Volume 2 is a practical guidebook on structural analysis systems and their applications. It provides detailed information about a specific software, its postprocessor capabilities and limitations, computer-aided design connection, and compatibility with the most common computers. Several practical examples from industry with computer and user cost are given. This volume consists of 17 chapters and begins with a description of AFAG, a dual finite element analysis program based on the flexibility method. The discussion then turns to the AQUADYN system, designed primarily to reduce the hydrodynamics problem to a linear integral equation for large floating or immersed structures. The following chapters focus on other structural analysis computer programs such as BOSOR4 and BOSOR5, INFESA, MEF/MOSAIC, RCAFAG, and STRUGEN. Some general purpose and special purpose finite element programs used for stress analysis of composite materials are also considered. This book will be a useful resource for practitioners in scientific and industrial disciplines such as mechanical or civil engineering, informatics, applied mathematics, and computer science.

Navier—Stokes Equations

2nd Edition
June 3, 2016
Roger Temam
J. L. Lions + 2 more
English
eBook
9 7 8 1 4 8 3 2 5 6 8 5 6

Navier-Stokes Equations: Theory and Numerical Analysis focuses on the processes, methodologies, principles, and approaches involved in Navier-Stokes equations, computational fluid dynamics (CFD), and mathematical analysis to which CFD is grounded. The publication first takes a look at steady-state Stokes equations and steady-state Navier-Stokes equations. Topics include bifurcation theory and non-uniqueness results, discrete inequalities and compactness theorems, existence and uniqueness theorems, discretization of Stokes equations, existence and uniqueness for the Stokes equations, and function spaces. The text then examines the evolution of Navier-Stokes equations, including linear case, compactness theorems, alternate proof of existence by semi-discretization, and discretization of the Navier-Stokes equations. The book ponders on the approximation of the Navier-Stokes equations by the projection and compressibility methods; properties of the curl operator and application to the steady-state Navier-Stokes equations; and implementation of non-conforming linear finite elements. The publication is a valuable reference for researchers interested in the theory and numerical analysis of Navier-Stokes equations.

Advances in Mathematical Chemistry and Applications: Volume 2

1st Edition
January 18, 2016
Subhash C. Basak + 2 more
English
Paperback
9 7 8 1 6 8 1 0 8 0 5 3 6
eBook
9 7 8 1 6 8 1 0 8 0 5 2 9

Advances in Mathematical Chemistry and Applications highlights the recent progress in the emerging discipline of discrete mathematical chemistry. Editors Subhash C. Basak, Guillermo Restrepo, and Jose Luis Villaveces have brought together 27 chapters written by 68 internationally renowned experts in these two volumes. Each volume comprises a wise integration of mathematical and chemical concepts and covers numerous applications in the field of drug discovery, bioinformatics, chemoinformatics, computational biology, mathematical proteomics, and ecotoxicology. Volume 2 explores deeper the topics introduced in Volume 1, with numerous additional topics such as topological approaches for classifying fullerene isomers; chemical reaction networks; discrimination of small molecules using topological molecular descriptors; GRANCH methods for the mathematical characterization of DNA, RNA and protein sequences; linear regression methods and Bayesian techniques; in silico toxicity prediction methods; drug design; integration of bioinformatics and systems biology, molecular docking, and molecular dynamics; metalloenzyme models; protein folding models; molecular periodicity; generalized topologies and their applications; and many more.

A Practical Approach to Dynamical Systems for Engineers

1st Edition
November 19, 2015
Patricia Mellodge
English
Hardback
9 7 8 0 0 8 1 0 0 2 0 2 5
eBook
9 7 8 0 0 8 1 0 0 2 2 4 7

A Practical Approach to Dynamical Systems for Engineers takes the abstract mathematical concepts behind dynamical systems and applies them to real-world systems, such as a car traveling down the road, the ripples caused by throwing a pebble into a pond, and a clock pendulum swinging back and forth. Many relevant topics are covered, including modeling systems using differential equations, transfer functions, state-space representation, Hamiltonian systems, stability and equilibrium, and nonlinear system characteristics with examples including chaos, bifurcation, and limit cycles. In addition, MATLAB is used extensively to show how the analysis methods are applied to the examples. It is assumed readers will have an understanding of calculus, differential equations, linear algebra, and an interest in mechanical and electrical dynamical systems.

Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes

1st Edition
September 8, 2015
Kuppalapalle Vajravelu + 1 more
English
Hardback
9 7 8 0 1 2 8 0 3 7 3 3 1
eBook
9 7 8 0 1 2 8 0 3 7 8 5 0

Most of the equations governing the problems related to science and engineering are nonlinear in nature. As a result, they are inherently difficult to solve. Analytical solutions are available only for some special cases. For other cases, one has no easy means but to solve the problem must depend on numerical solutions. Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes: Numerical Solutions presents the current theoretical developments of boundary layer theory, a branch of transport phenomena. Also, the book addresses the theoretical developments in the area and presents a number of physical problems that have been solved by analytical or numerical method. It is focused particularly on fluid flow problems governed by nonlinear differential equations. The book is intended for researchers in applied mathematics, physics, mechanics and engineering.

Methods and Applications of Longitudinal Data Analysis

1st Edition
September 1, 2015
Xian Liu
English
Hardback
9 7 8 0 1 2 8 0 1 3 4 2 7
eBook
9 7 8 0 1 2 8 0 1 4 8 2 0

Methods and Applications of Longitudinal Data Analysis describes methods for the analysis of longitudinal data in the medical, biological and behavioral sciences. It introduces basic concepts and functions including a variety of regression models, and their practical applications across many areas of research. Statistical procedures featured within the text include: descriptive methods for delineating trends over time linear mixed regression models with both fixed and random effects covariance pattern models on correlated errors generalized estimating equations nonlinear regression models for categorical repeated measurements techniques for analyzing longitudinal data with non-ignorable missing observations Emphasis is given to applications of these methods, using substantial empirical illustrations, designed to help users of statistics better analyze and understand longitudinal data. Methods and Applications of Longitudinal Data Analysis equips both graduate students and professionals to confidently apply longitudinal data analysis to their particular discipline. It also provides a valuable reference source for applied statisticians, demographers and other quantitative methodologists.

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