Wydawca: 16
Mercury Learning and Information, C. P. Kothandaraman
This course serves as a comprehensive reference guide for engineers, mathematicians, scientists, and industry professionals, covering essential mathematical formulas and key scientific data. It is divided into two parts: mathematical formulas including algebra, trigonometry, analytic geometry, differential and integral calculus, and vectors; and scientific data covering units, properties of gases, elements, acoustics, materials, thermodynamics, radioactivity, and more.Understanding these concepts is crucial for professionals, providing a solid foundation for their work. The course explains technical terms, theorems, and applicable laws in detail, ensuring clarity and practical understanding. Each chapter provides valuable insights and data fundamental for scientific and engineering applications.Starting with algebra and geometry, the course advances through calculus and vectors, then explores scientific data in various fields. By the end, users will have a thorough reference of critical formulas and data, making it indispensable for students and professionals. This structured approach ensures learners gain both theoretical knowledge and practical applications essential for their careers.
Mathematical Transgressions 2015
praca zbiorowa
During the last decades of the 20th century, we have entered the Digital Era. The Third Technological Revolution has an enormous socioeconomic impact. It affects modern science, including mathematics. It also determines the reforms of national education systems. Mathematicians seek to focus on the so-called concrete mathematics. They explore finite and discrete structures, rather than infinite and continuous ones. They prefer to develop combinatorics and algorithmic thinking, rather than contribute to Bourbaki’s edifice. Mathematics itself is expanding its boundaries by merging with computer science, while symbolic computations as well as computer-assisted and automated proofs are transforming it into a quasi-empirical science. We should agree that mathematics is no longer the Queen of the Sciences; while it is still believed to be the basis of modern education, its role needs to be re-defined. It is necessary to address this challenge. The first step in this direction consists of the adoption of a new perspective. The Latin word transgressio means an act that goes beyond generally accepted boundaries. This monograph draws together papers written by mathematicians, educators, pedagogues, psychologists, and philosophers. Their aim is to identify a new role of mathematics and mathematics education in the modern world. P.B.
Mercury Learning and Information, Paul Turner, Justine...
This book is designed for students, faculty, and professionals, describing the role of mathematics in economics and business. Starting with the basics of numbers and advancing into complex topics like hyperreal numbers and set theory, the book builds a strong foundation of mathematical concepts. Python code is used throughout to illustrate problems numerically, making the material accessible and practical.Readers will learn about linear simultaneous equations for market equilibrium analysis and the mechanics of matrices for solving larger systems. The book covers calculus, with applications in economics, including profit maximization and factor optimization, and introduces infinitesimal methods. Chapters on differential and difference equations reveal their importance in analyzing dynamic systems, all illuminated through practical examples and images from economics and business.The course begins with fundamental mathematical concepts, advancing to complex applications in economics and business. By integrating computational understanding with Python code, the book ensures learners can tackle real-world problems. This structured approach provides the tools needed for economic analysis and business decision-making, making it an invaluable resource for anyone in these fields.
Mathematics for Business. Explore Essential Mathematical Concepts and Techniques for Decision Making
Mercury Learning and Information, Gary Bronson, Richard...
This course provides a comprehensive understanding of quantitative methods essential for economic forecasting, resource allocation, portfolio analysis, inventory management, data-mining, and addressing social and climate challenges. Starting with foundational topics like finite mathematics and the mathematics of finance, it progresses to differential calculus, optimization, and curve fitting. These concepts are vital for solving contemporary business problems.Learners will explore algebra, finite math, finance mathematics, calculus, optimization techniques, and curve fitting, applying these methods to realistic business scenarios. Topics include cash flow, amortization, interest, loans, annuities, revenue/cost models, break-even analysis, inventory control, and econometrics. Each section includes extensive examples and exercises, reinforced by key terms and concepts, making the material accessible and practical.The course begins with basic mathematical concepts and advances through increasingly complex topics. By the end, learners will have the tools to tackle various business problems using quantitative methods, making this course invaluable for anyone in the business field. This structured approach ensures both theoretical knowledge and practical application, preparing learners for real-world challenges.
Mercury Learning and Information, D. P. Kothari,...
This book explains the mathematical concepts in computer graphics, ideal for courses in graphics, engineering, game development, and industry professionals. It starts with how images are generated on screens and covers algorithms for creating simple geometry. The book progresses through two-dimensional and three-dimensional transformations, parametric representation of planar and space curves like cubic splines and Bezier curves. It also includes programming in C, OpenGL, and methods for generating 3D models.The course begins with an introduction to computer graphics and vector representation of geometric entities. It then covers 2D and 3D transformations, parametric representation of curves and surfaces, windowing and clipping, and generating 3D models. The final chapters focus on projections and programming graphics using C and OpenGL.Understanding these concepts is crucial for mastering computer graphics. This book transitions readers from basic concepts to advanced techniques, blending theoretical knowledge with practical skills. It is an essential resource for mastering the mathematical foundations and programming techniques in computer graphics.
Penny de Byl
Mathematics is an essential skill when it comes to graphics and game development, particularly if you want to understand the generation of real-time computer graphics and the manipulation of objects and environments in a detailed way. Python, together with Pygame and PyOpenGL, provides you with the opportunity to explore these features under the hood, revealing how computers generate and manipulate 3D environments. Mathematics for Game Programming and Computer Graphics is an exhaustive guide to getting “back to the basics” of mathematics, using a series of problem-based, practical exercises to explore ideas around drawing graphic lines and shapes, applying vectors and vertices, constructing and rendering meshes, and working with vertex shaders. By leveraging Python, Pygame, and PyOpenGL, you’ll be able to create your own mathematics-based engine and API that will be used throughout to build applications. By the end of this graphics focussed book, you’ll have gained a thorough understanding of how essential mathematics is for creating, rendering, and manipulating 3D virtual environments and know the secrets behind today’s top graphics and game engines.
Mathematics in examples from civil engineering and architecture
Edwin Koźniewski, Agnieszka Tereszkiewicz
The script is an extended version of [62] and supplemented with tasks in some chapters. This study covers the subject matter of the applied mathematics course taught by the authors in the master's degree program in Civil Engineering at the Faculty of Civil Engineering and Environmental Sciences at Bialystok University of Technology. Due to the thematic breadth of the discipline, which is mathematics, determining the content of teaching applied mathematics was not a simple matter. The presented topics of lectures and classes come from di˙erent branches of mathematics show techniques for solving previously formulated problems related to the problems of civil engineering and architecture.