Books [Kody Law, Andrew Stuart, Konstantinos Zygalakis] Data Assimilation: A Mathematical Introduction
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This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation, covering both theoretical and computational approaches. Specifically the authors develop a unified mathematical framework in which a Bayesian formulation of the problem provides the bedrock for the derivation, development and analysis of algorithms; the many examples used in the text, together with the algorithms which are introduced and discussed, are all illustrated by the MATLAB software detailed in the book and made freely available online.
The book is organized into nine chapters: the first contains a brief introduction to...
Books GAME 2302 - Mathematical Applications for Game Development
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Books [Christopher Tremblay] Mathematics for Game Developers
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Mathematics for Game Developers is just that-a math book designed specifically for the game developer, not the mathematician. As a game developer, you know that math is a fundamental part of your programming arsenal. In order to program a game that goes beyond the basics, you must first master concepts such as matrices and vectors. In this book, you will find some unique solutions for dealing with real problems youll face when programming many types of 3D games. Not only will you learn how to solve these problems, youll also learn why the solution works, enabling you to apply that solution to other problems. Youll also learn how to...
Books [Bradley Kjell] Vector Math for 3D Computer Graphics, Fourth Revision
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This is a tutorial on vector algebra and matrix algebra from the viewpoint of computer graphics. It covers most vector and matrix topics needed to read college-level computer graphics text books. Most graphics texts cover these subjects in an appendix, but it is often too short. This tutorial covers the same material at greater length, and with many examples.
This tutorial is useful for more than computer graphics. Vectors and matrices are used in all scientific and engineering fields, and any other field that uses computers (are there any that don't?) In many fields, the vocabulary used for vectors and matrices does not match that...
Books [Jan Awrejcewicz] Numerical Simulations of Physical and Engineering Processes
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Numerical Simulations of Physical and Engineering Process is an edited book divided into two parts. Part I devoted to Physical Processes contains 14 chapters, whereas Part II titled Engineering Processes has 13 contributions. The book handles the recent research devoted to numerical simulations of physical and engineering systems. It can be treated as a bridge linking various numerical approaches of two closely inter-related branches of science, i.e. physics and engineering. Since the numerical simulations play a key role in both theoretical and application oriented research, professional reference books are highly needed by pure...
Books [Andrew McLennan] Advanced Fixed Point Theory
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Books [Christian-Oliver Ewald, Andrew McLennan] Games, Fixed Points and Mathematical Economics
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One of the problems in economics that economists have devoted a considerable amount of attention in prevalent years has been to ensure consistency in the models they employ. Assuming markets to be generally in some state of equilibrium, it is asked under what circumstances such equilibrium is possible.
The fundamental mathematical tools used to address this concern are fixed point theorems: the conditions under which sets of assumptions have a solution.
This book gives the reader access to the mathematical techniques involved and goes on to apply fixed point theorems to proving the existence of equilibria for economics and for...
Books [David Wright] Mathematics and Music
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Many people intuitively sense that there is a connection between mathematics and music. If nothing else, both involve counting. There is, of course, much more to the association. David Wright's book is an investigation of the interrelationships between mathematics and music, reviewing the needed background concepts in each subject as they are encountered. Along the way, readers will augment their understanding of both mathematics and music. The text explores the common foundations of the two subjects, which are developed side by side. Musical and mathematical notions are brought together, such as scales and modular arithmetic...
Books [David J. Benson] Music: A Mathematical Offering
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Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship...
Books [Ben Klemens] Modeling with Data: Tools and Techniques for Scientific Computing
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Modeling with Data fully explains how to execute computationally intensive analyses on very large data sets, showing readers how to determine the best methods for solving a variety of different problems, how to create and debug statistical models, and how to run an analysis and evaluate the results.
Ben Klemens introduces a set of open and unlimited tools, and uses them to demonstrate data management, analysis, and simulation techniques essential for dealing with large data sets and computationally intensive procedures. He then demonstrates how to easily apply these tools to the many threads of statistical technique, including...
Books [Philipp K. Janert] Feedback Control for Computer Systems: Introducing Control Theory to Enterprise Programmers
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How can you take advantage of feedback control for enterprise programming? With this book, author Philipp K. Janert demonstrates how the same principles that govern cruise control in your car also apply to data center management and other enterprise systems. Through case studies and hands-on simulations, you’ll learn methods to solve several control issues, including mechanisms to spin up more servers automatically when web traffic spikes.
Feedback is ideal for controlling large, complex systems, but its use in software engineering raises unique issues. This book provides basic theory and lots of practical advice for programmers...
Books [Howard Corb] Interest Rate Swaps And Other Derivatives
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The first swap was executed over thirty years ago. Since then, the interest rate swaps and other derivative markets have grown and diversified in phenomenal directions. Derivatives are used today by a myriad of institutional investors for the purposes of risk management, expressing a view on the market, and pursuing market opportunities that are otherwise unavailable using more traditional financial instruments. In this volume, Howard Corb explores the concepts behind interest rate swaps and the many derivatives that evolved from them.
Corb's book uniquely marries academic rigor and real-world trading experience in a compelling...
Books [Ruth Curtain, Hans Zwart] Introduction to Infinite-Dimensional Systems Theory: A State-Space Approach
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Infinite-dimensional systems is a well established area of research with an ever increasing number of applications. Given this trend, there is a need for an introductory text treating system and control theory for this class of systems in detail. This textbook is suitable for courses focusing on the various aspects of infinite-dimensional state space theory. This book is made accessible for mathematicians and post-graduate engineers with a minimal background in infinite-dimensional system theory. To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely...
Books [Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado] Introduction to Fractional Differential Equations
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This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods.
INFORMATION PAGE:...
Books [Sal Rodriguez] Applied Computational Fluid Dynamics and Turbulence Modeling: Practical Tools, Tips and Techniques
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This unique text provides engineering students and practicing professionals with a comprehensive set of practical, hands-on guidelines and dozens of step-by-step examples for performing state-of-the-art, reliable computational fluid dynamics (CFD) and turbulence modeling. Key CFD and turbulence programs are included as well. The text first reviews basic CFD theory, and then details advanced applied theories for estimating turbulence, including new algorithms created by the author. The book gives practical advice on selecting appropriate turbulence models and presents best CFD practices for modeling and generating reliable...
Books [David Bohm] Quantum Theory
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This superb text by David Bohm, formerly Princeton University and Emeritus Professor of Theoretical Physics at Birkbeck College, University of London, provides a formulation of the quantum theory in terms of qualitative and imaginative concepts that have evolved outside and beyond classical theory. Although it presents the main ideas of quantum theory essentially in nonmathematical terms, it follows these with a broad range of specific applications that are worked out in considerable mathematical detail.
Addressed primarily to advanced undergraduate students, the text begins with a study of the physical formulation of the quantum...
Books [Dan A Simovici] Mathematical Analysis For Machine Learning And Data Mining
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This compendium provides a self-contained introduction to mathematical analysis in the field of machine learning and data mining. The mathematical analysis component of the typical mathematical curriculum for computer science students omits these very important ideas and techniques which are indispensable for approaching specialized area of machine learning centered around optimization such as support vector machines, neural networks, various types of regression, feature selection, and clustering. The book is of special interest to researchers and graduate students who will benefit from these application areas discussed in the book...
Books [Anthony L. L. Caterini, Dong Eui Chang] Deep Neural Networks In A Mathematical Framework
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This SpringerBrief describes how to build a rigorous end-to-end mathematical framework for deep neural networks. The authors provide tools to represent and describe neural networks, casting previous results in the field in a more natural light. In particular, the authors derive gradient descent algorithms in a unified way for several neural network structures, including multilayer perceptrons, convolutional neural networks, deep autoencoders and recurrent neural networks. Furthermore, the authors developed framework is both more concise and mathematically intuitive than previous representations of neural networks.
This SpringerBrief...
Books [Mark H. Holmes] Introduction to the Foundations of Applied Mathematics
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FOAM. This acronym has been used for over ?fty years at Rensselaer to designate an upper-division course entitled, Foundations of Applied Ma- ematics. This course was started by George Handelman in 1956, when he came to Rensselaer from the Carnegie Institute of Technology. His objective was to closely integrate mathematical and physical reasoning, and in the p- cess enable students to obtain a qualitative understanding of the world we live in. FOAM was soon taken over by a young faculty member, Lee Segel. About this time a similar course, Introduction to Applied Mathematics, was introduced by Chia-Ch’iao Lin at the Massachusetts...
Books [Konnor Cluster] Python Machine Learning: A Step-by-Step Guide to Scikit-Learn and TensorFlow (Includes a Python Programming Crash Course)
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If you need to learn how to use the Python Programming Language to implement your own Machine Learning solution, and you are searching for a reference to start from, then keep reading.
Machine learning represents now the most interesting, performing and growing technology among all technologies related to Artificial Intelligence and represents also an incredible opportunity if you want to grow your business or if you are searching for a new job, but it’s not very easy to understand how it works. Sometimes, even the most seasoned and skilled engineers are scared to approach this new topic.
This book can assist you in understanding...
Books [Anand Deshpande] Artificial Intelligence For Big Data: Complete Guide To Automating Big Data Solutions Using Artificial Intelligence Techniques
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Key Features
- Implement Artificial Intelligence techniques to build smart applications using Deeplearning4j a Java deep learning library
- Create smart self learning and decision making systems
- Develop smarter Big data applications to get better insights from your analysis
Book Description
In the age of big data, companies have growing amount of consumer data than ever before - far more than human and their current technologies can ever hope to keep up with. Artificial Intelligence closes the gap by moving far past human limitations to consume and analyze data...Books [Shoshana Zuboff] In The Age Of The Smart Machine : The Future Of Work And Power
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Books [Anand J. Kulkarn, Suresh Satapathy] Optimization in Machine Learning and Applications (Algorithms for Intelligent Systems)
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This book discusses one of the major applications of artificial intelligence: the use of machine learning to extract useful information from multimodal data. It discusses the optimization methods that help minimize the error in developing patterns and classifications, which further helps improve prediction and decision-making. The book also presents formulations of real-world machine learning problems, and discusses AI solution methodologies as standalone or hybrid approaches. Lastly, it proposes novel metaheuristic methods to solve complex machine learning problems. Featuring valuable insights, the book helps readers explore new...
Books [Stephen Muggleton] Inductive Logic Programming (Apic Studies in Data Processing)
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Inductive logic programming is a new research area formed at the intersection of machine learning and logic programming. While the influence of logic programming has encouraged the development of strong theoretical foundations, this new area is inheriting its experimental orientation from machine learning. Inductive Logic Programming will be an invaluable text for all students of computer science, machine learning and logic programming at an advanced level.
* Examination of the background to current developments within the area
* Identification of the various goals and aspirations for the increasing body of researchers in inductive...
Books [Snehashish Chakraverty, Deepti Moyi Sahoo, Nisha Rani Mahato] Concepts Of Soft Computing: Fuzzy And Ann With Programming
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This book discusses soft computing, which provides an efficient platform to deal with imprecision, uncertainty, vagueness and approximation in order to attain robustness and reliable computing. It explores two major concepts of soft computing: fuzzy set theory and neural networks, which relate to uncertainty handling and machine learning techniques respectively. Generally, fuzzy sets are considered as vague or uncertain sets having membership function lying between 0 and 1, and ANN is a type of artificial intelligence that attempts to imitate the way a human brain works by configuring specific applications, for instance pattern...
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