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Mathematics by Steps (Angles to Vectors)

Mathematics by Steps (Angles to Vectors)
Author: James F Frayne
Publisher: Lulu.com
Total Pages: 166
Release: 2018-02-28
Genre: Education
ISBN: 0244658366

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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.


Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra
Author: Stephen Boyd
Publisher: Cambridge University Press
Total Pages: 477
Release: 2018-06-07
Genre: Business & Economics
ISBN: 1316518965

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A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.


Mathematical Methods in Engineering

Mathematical Methods in Engineering
Author: K. Tas
Publisher: Springer Science & Business Media
Total Pages: 451
Release: 2007-11-25
Genre: Technology & Engineering
ISBN: 1402056788

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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.


Vector Calculus

Vector Calculus
Author: Steven G. Krantz
Publisher: CRC Press
Total Pages: 1973
Release: 2024-05-28
Genre: Mathematics
ISBN: 1040006841

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Using meaningful examples, credible applications, and incisive technology, Vector Ca1culus strives to empower students, enhance their critical thinking skills, and equip them with the knowledge and skills to succeed in the major or discipline they ultimately choose to study. This text is intended to be a cornerstone of that process. An engaging style and clear writing make the language of mathematics accessible, understandable, and enjoyable, with a high standard for mathematical rigor. A calculus book must tell the truth. This book is carefully written in the accepted language of mathematics in a readable exposition. It includes useful and fascinating applications, acquaints students with the history of the subject, and offers a sense of what mathematics is all about. Technique is presented, yet so are ideas. The authors help students to master basic methods and discover and build their own concepts in a scientific subject. There is an emphasis on using modeling and numerical calculation. Additional features include: A Quick Quiz and Problems for Practice, Further Theory and Practice, and Calculator/Computer Exercises appear at the end of each section. All exercise sets are step laddered. A Look Back and A Look Forward help students put the ideas in context. Every chapter ends with a Genesis and Development section, giving history and perspective on key topics in the evolution of calculus. Boxed Insights clear up points or answer commonly asked questions. The text has an extra-large offering of examples. Examples are illustrated with meaningful and useful graphics. The pedagogical features make the subject more interesting and accessible to students than other texts, while maintaining an appropriate rigor. —Daniel Cunningham, CSU-Fresno This text is truly well written and organized. I do like the fact the book is quite rigorous, yet full of illustrative examples. —Bob Devaney, Boston University


Vectors (IB Math)

Vectors (IB Math)
Author: Lee Jun Cai
Publisher: AcesMath!
Total Pages: 55
Release:
Genre: Mathematics
ISBN:

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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.


Vector Analysis

Vector Analysis
Author: Josiah Willard Gibbs
Publisher:
Total Pages: 470
Release: 1901
Genre: Vector analysis
ISBN:

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Vector Analysis

Vector Analysis
Author: Edwin Bidwell Wilson
Publisher:
Total Pages: 466
Release: 1901
Genre: Vector analysis
ISBN:

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Practical Mathematics for AI and Deep Learning

Practical Mathematics for AI and Deep Learning
Author: Tamoghna Ghosh
Publisher: BPB Publications
Total Pages: 572
Release: 2022-12-30
Genre: Computers
ISBN: 9355511930

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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


Science By Simulation - Volume 1: A Mezze Of Mathematical Models

Science By Simulation - Volume 1: A Mezze Of Mathematical Models
Author: Andrew French
Publisher: World Scientific
Total Pages: 276
Release: 2022-05-30
Genre: Mathematics
ISBN: 1800611099

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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.