Mathematics

Intermediate Algebra by Diane Koenig

College Algebra: Concepts and Contexts by James Stewart

Bruno Scardua, Carlos Arnoldo Morales Rojas, “Geometry, Dynamics and Topology of Foliations:A First Course”

“Uncertainty Modeling and Analysis in Engineering and the Sciences” by Bilal M. Ayyub, George J. Klir

Elementary Algebra by Jerome E Kaufmann

Intermediate Algebra by Diane Koenig

English | 9 Feb. 2010 | ISBN: 1439044368 | 1024 Pages | PDF | 25.12 MB

Offering a uniquely modern, balanced approach, Tussy/Gustafson/Koenig’s INTERMEDIATE ALGEBRA, Fourth Edition, integrates the best of traditional drill and practice with the best elements of the reform movement. To many developmental math students, algebra is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. Emphasizing the “language of algebra,” the text’s fully integrated learning process is designed to expand students’ reasoning abilities and teach them how to read, write, and think mathematically. It blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills.

College Algebra: Concepts and Contexts by James Stewart

English | 1 Jan. 2010 | ISBN: 0495387894 | 639 Pages | PDF | 9.64 MB

This text bridges the gap between traditional and reform approaches to algebra encouraging students to see mathematics in context. It presents fewer topics in greater depth, prioritizing data analysis as a foundation for mathematical modeling, and emphasizing the verbal, numerical, graphical and symbolic representations of mathematical concepts as well as connecting mathematics to real life situations drawn from the students’ majors.

Bruno Scardua, Carlos Arnoldo Morales Rojas, “Geometry, Dynamics and Topology of Foliations:A First Course”

ISBN: 9813207078 | 2017 | PDF | 196 pages | 2.11 MB

The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others. Its great development has allowed a better comprehension of several phenomena of mathematical and physical nature.

Our book contains material dating from the origins of the theory of foliations, from the original works of C Ehresmann and G Reeb, up till modern developments. In a suitable choice of topics we are able to cover material in a coherent way bringing the reader to the heart of recent results in the field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefliger’s Theorem, and Novikov Compact leaf Theorem, are proved in the text. The stability theorem of Thurston and the compact leaf theorem of Plante are also thoroughly proved. Nevertheless, these notes are introductory and cover only a minor part of the basic aspects of the rich theory of foliations.

“Uncertainty Modeling and Analysis in Engineering and the Sciences” by Bilal M. Ayyub, George J. Klir

CH/CRC | 2006| ISBN: 1420011456 9781420011456 | 381 pages | PDF | 7 MB

This volume covers primary components of ignorance and their impact on practice and decision making. It provides an overview of the current state of uncertainty modeling and analysis, and reviews emerging theories while emphasizing practical applications in science and engineering.

Engineers and scientists often need to solve complex problems with incomplete information resources, necessitating a proper treatment of uncertainty and a reliance on expert opinions. Uncertainty Modeling and Analysis in Engineering and the Sciences prepares current and future analysts and practitioners to understand the fundamentals of knowledge and ignorance, how to model and analyze uncertainty, and how to select appropriate analytical tools for particular problems.

Features

-Provides a systems framework for the analysis and modeling of uncertainty

-Summarizes methods for encoding data and expressing information

-Illustrates methods for uncertainty and information synthesis

-Develops methods for uncertainty measures and related criteria for knowledge construction

-Examines methods for uncertainty propagation in input-output systems

-Describes methods for visualizing uncertainty

-Explains how to elicit opinions of experts in order to increase the truthfulness of outcomes

-Contains computational examples, detailed engineering applications, and exercise problems related to chapter materials

Elementary Algebra by Jerome E Kaufmann

English | 1 Jan. 2010 | ISBN: 1439049173 | 539 Pages | PDF | 7.39 MB

Kaufmann and Schwitters have built this text’s reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application problems.

This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses. Algebraic ideas are developed in a logical sequence, and in an easy-to-read manner, without excessive vocabulary and formalism. The open and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad range of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life. The text’s resource package–anchored by Enhanced WebAssign, an online homework management tool–saves instructors time while also providing additional help and skill-building practice for students outside of class.