Mathematics by Steps (Angles to Vectors) PDF Download
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Author: James F Frayne Publisher: Lulu.com ISBN: 0244658366 Category : Education Languages : en Pages : 166
Book Description
Pick up any mathematics book and take an objective look at the contents of any one topic. The chances are that the writer falsely believes that prior essential knowledge has already been gained as a precursor to addressing the topic. In truth, the student may have indeed gained some insight to essential knowledge, but this is never made completely clear at the outset and consequently the student is, more often than not, left to look for such relevant associations as best they can. Assumed prior knowledge is often essential, but all too often not made clear, thus resulting in predictable disastrous effects and yet another generation that can sadly boast 'I was never good at mathematics when I was at school'. This book helps to address this problem.
Author: James F Frayne Publisher: Lulu.com ISBN: 0244658366 Category : Education Languages : en Pages : 166
Book Description
Pick up any mathematics book and take an objective look at the contents of any one topic. The chances are that the writer falsely believes that prior essential knowledge has already been gained as a precursor to addressing the topic. In truth, the student may have indeed gained some insight to essential knowledge, but this is never made completely clear at the outset and consequently the student is, more often than not, left to look for such relevant associations as best they can. Assumed prior knowledge is often essential, but all too often not made clear, thus resulting in predictable disastrous effects and yet another generation that can sadly boast 'I was never good at mathematics when I was at school'. This book helps to address this problem.
Author: K. Tas Publisher: Springer Science & Business Media ISBN: 1402056788 Category : Technology & Engineering Languages : en Pages : 451
Book Description
This book contains some of the contributions that have been carefully selected and peer-reviewed, which were presented at the International Symposium MME06 Mathematical Methods in Engineering, held in Cankaya University, Ankara, April 2006. The Symposium provided a setting for discussing recent developments in Fractional Mathematics, Neutrices and Generalized Functions, Boundary Value Problems, Applications of Wavelets, Dynamical Systems and Control Theory.
Author: Lee Jun Cai Publisher: AcesMath! ISBN: Category : Mathematics Languages : en Pages : 55
Book Description
Confused about the various concepts on Vectors taught in school? This book on Vectors seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (HL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.
Author: Tamoghna Ghosh Publisher: BPB Publications ISBN: 9355511930 Category : Computers Languages : en Pages : 572
Book Description
Mathematical Codebook to Navigate Through the Fast-changing AI Landscape KEY FEATURES ● Access to industry-recognized AI methodology and deep learning mathematics with simple-to-understand examples. ● Encompasses MDP Modeling, the Bellman Equation, Auto-regressive Models, BERT, and Transformers. ● Detailed, line-by-line diagrams of algorithms, and the mathematical computations they perform. DESCRIPTION To construct a system that may be referred to as having ‘Artificial Intelligence,’ it is important to develop the capacity to design algorithms capable of performing data-based automated decision-making in conditions of uncertainty. Now, to accomplish this goal, one needs to have an in-depth understanding of the more sophisticated components of linear algebra, vector calculus, probability, and statistics. This book walks you through every mathematical algorithm, as well as its architecture, its operation, and its design so that you can understand how any artificial intelligence system operates. This book will teach you the common terminologies used in artificial intelligence such as models, data, parameters of models, and dependent and independent variables. The Bayesian linear regression, the Gaussian mixture model, the stochastic gradient descent, and the backpropagation algorithms are explored with implementation beginning from scratch. The vast majority of the sophisticated mathematics required for complicated AI computations such as autoregressive models, cycle GANs, and CNN optimization are explained and compared. You will acquire knowledge that extends beyond mathematics while reading this book. Specifically, you will become familiar with numerous AI training methods, various NLP tasks, and the process of reducing the dimensionality of data. WHAT YOU WILL LEARN ● Learn to think like a professional data scientist by picking the best-performing AI algorithms. ● Expand your mathematical horizons to include the most cutting-edge AI methods. ● Learn about Transformer Networks, improving CNN performance, dimensionality reduction, and generative models. ● Explore several neural network designs as a starting point for constructing your own NLP and Computer Vision architecture. ● Create specialized loss functions and tailor-made AI algorithms for a given business application. WHO THIS BOOK IS FOR Everyone interested in artificial intelligence and its computational foundations, including machine learning, data science, deep learning, computer vision, and natural language processing (NLP), both researchers and professionals, will find this book to be an excellent companion. This book can be useful as a quick reference for practitioners who already use a variety of mathematical topics but do not completely understand the underlying principles. TABLE OF CONTENTS 1. Overview of AI 2. Linear Algebra 3. Vector Calculus 4. Basic Statistics and Probability Theory 5. Statistics Inference and Applications 6. Neural Networks 7. Clustering 8. Dimensionality Reduction 9. Computer Vision 10. Sequence Learning Models 11. Natural Language Processing 12. Generative Models
Author: Erchin Serpedin Publisher: CRC Press ISBN: 1466514086 Category : Computers Languages : en Pages : 859
Book Description
Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and readings for additional study. This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas.
Author: Andrew French Publisher: World Scientific ISBN: 1800611099 Category : Mathematics Languages : en Pages : 276
Book Description
A Mezze of Mathematical Methods is Volume 1 of Science by Simulation. It is a recipe book of mathematical models that can be enlivened by the transmutation of equations into computer code. In this volume, the examples chosen are an eclectic mix of systems and stories rooted in common experience, rather than those normally associated with constrained courses on Physics, Chemistry or Biology which are taught in isolation and susceptible to going out of date in a few years. Rather than a 'what' of Science, this book is aimed at the 'how', readily applied to projects by students and professionals. Written in a friendly style based upon the author's expertise in teaching and pedagogy, this mathematically rigorous book is designed for readers to follow arguments step-by-step with stand-alone chapters which can be read independently. This approach will provide a tangible and readily accessible context for the development of a wide range of interconnected mathematical ideas and computing methods that underpin the practice of Science.
Author: H.-C. Hege Publisher: Springer Science & Business Media ISBN: 3662035677 Category : Mathematics Languages : en Pages : 398
Book Description
Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization. Originally, it started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications. The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.
Author: Fred Szabo Publisher: Academic Press ISBN: 0124095313 Category : Mathematics Languages : en Pages : 441
Book Description
The Linear Algebra Survival Guide offers a concise introduction to the difficult core topics of linear algebra, guiding you through the powerful graphic displays and visualization of Mathematica that make the most abstract theories seem simple - allowing you to tackle realistic problems using simple mathematical manipulations. This resource is therefore a guide to learning the content of Mathematica in a practical way, enabling you to manipulate potential solutions/outcomes, and learn creatively. No starting knowledge of the Mathematica system is required to use the book. Desktop, laptop, web-based versions of Mathematica are available on all major platforms. Mathematica Online for tablet and smartphone systems are also under development and increases the reach of the guide as a general reference, teaching and learning tool. - Includes computational oriented information that complements the essential topics in linear algebra. - Presents core topics in a simple, straightforward way with examples for exploring computational illustrations, graphics, and displays using Mathematica. - Provides numerous examples of short code in the text, which can be modified for use with exercises to develop graphics displays for teaching, learning, and demonstrations.
Author: James F Frayne
Author: James F Frayne
Author: K. Tas
Author: Choubey K. R.
Author: Lee Jun Cai
Author: Tamoghna Ghosh
Author: Erchin Serpedin
Author: Andrew French
Author: H.-C. Hege
Author: Arthur Cayley
Author: Fred Szabo