http://www.merlot.org:80/merlot/ A search of MERLOT materials Copyright 1997-2013 MERLOT. All rights reserved. Thu, 23 May 2013 06:54:54 PDT Thu, 23 May 2013 06:54:54 PDT http://www.merlot.org:80/merlot/images/merlot.gif http://www.merlot.org:80/merlot/ 44 34 http://www.merlot.org/merlot/viewMaterial.htm?id=740675 Applied Discrete Structures by Al Doerr and Ken Levasseur is a free open content textbook in discrete mathematics. Originally published in 1984 & 1989 by Pearson, the book has been updated to include references to Mathematica and Sage, the open source computer algebra system. Contents:Front Matter: Contents and IntroductionChapter 1: Set Theory I Chapter 2: Combinatorics Chapter 3: Logic Chapter 4: More on Sets Chapter 5: Introduction to Matrix Algebra Chapter 6: Relations and Graphs Chapter 7: Functions Chapter 8: Recursion and Recurrence Relations Chapter 9: Graph Theory Chapter 10: Trees Chapter 11: Algebraic Systems Chapter 12: More Matrix Algebra Chapter 13: Boolean Algebra Chapter 14: Monoids and Automata Chapter 15: Group Theory and Applications Chapter 16: An Introduction to Rings and Fields Solutions to Odd-Numbered Exercises http://www.merlot.org/merlot/viewMaterial.htm?id=737848 This is a free online textbook offered by BookBoon.'Blast into Math! A fun and rigorous introduction to pure mathematics, is suitable for both students and a general audience interested in learning what pure mathematics is all about. Pure mathematics is presented in a friendly, accessible, and nonetheless rigorous style. Definitions, theorems, and proofs are accompanied by creative analogies and illustrations to convey the meaning and intuition behind the abstract math. The key to reading and understanding this book is doing the exercises. You don't need much background for the first few chapters, but the material builds upon itself, and if you don't do the exercises, eventually you'll have trouble understanding. The book begins by introducing fundamental concepts in logic and continues on to set theory and basic topics in number theory. The sixth chapter shows how we can change our mathematical perspective by writing numbers in bases other than the usual base 10. The last chapter introduces analysis. Readers will be both challenged and encouraged. A parallel is drawn between the process of working through the book and the process of mathematics research. If you read this book and do all the exercises, you will not only learn how to prove theorems, you'll also experience what mathematics research is like: exciting, challenging, and fun!' http://www.merlot.org/merlot/viewMaterial.htm?id=736077 'A First Course in Linear Algebra is an introductory textbook designed for university sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Along the way, determinants and eigenvalues get fair time.״ http://www.merlot.org/merlot/viewMaterial.htm?id=736150 This introductory calculus text covering the topics of: Successive approximations, The derivative, Differential equations, Techniques of differentiation, The integral, Periodicity, Dynamical systems, Functions of several variables, Series and approximations, and Techniques of integration. http://www.merlot.org/merlot/viewMaterial.htm?id=736192 This is a free textbook offered by InTech.'Ant Colony Optimization (ACO) is the best example of how studies aimed at understanding and modeling the behavior of ants and other social insects can provide inspiration for the development of computational algorithms for the solution of difficult mathematical problems. Introduced by Marco Dorigo in his PhD thesis (1992) and initially applied to the travelling salesman problem, the ACO field has experienced a tremendous growth, standing today as an important nature-inspired stochastic metaheuristic for hard optimization problems. This book presents state-of-the-art ACO methods and is divided into two parts: (I) Techniques, which includes parallel implementations, and (II) Applications, where recent contributions of ACO to diverse fields, such as traffic congestion and control, structural optimization, manufacturing, and genomics are presented.' http://www.merlot.org/merlot/viewMaterial.htm?id=736193 This is a free textbook offered by InTech.'Adaptive filtering can be used to characterize unknown systems in time-variant environments. The main objective of this approach is to meet a difficult comprise: maximum convergence speed with maximum accuracy. Each application requires a certain approach which determines the filter structure, the cost function to minimize the estimation error, the adaptive algorithm, and other parameters; and each selection involves certain cost in computational terms, that in any case should consume less time than the time required by the application working in real-time. Theory and application are not, therefore, isolated entities but an imbricated whole that requires a holistic vision. This book collects some theoretical approaches and practical applications in different areas that support expanding of adaptive systems.' http://www.merlot.org/merlot/viewMaterial.htm?id=736044 'Chemistry Maths 1 teaches Maths from a “chemical” perspective and is the first of a three part series of texts taken during a first-year university course. It is the Maths required by a Chemist, or Chemical Engineer, Chemical Physicist, Molecular Biologist, Biochemist or Biologist. Tutorial questions with fully worked solutions are used and structured on a weekly basis to help the students to self-pace themselves. Coloured molecular structures, graphs and diagrams bring the text alive. Navigation between questions and their solutions is by page numbers for use with your PDF reader.' http://www.merlot.org/merlot/viewMaterial.htm?id=728508 This is a free textbook from BookBoon.'Algebra is one of the main branches in mathematics. The book series of elementary algebra exercises includes useful problems in most topics in basic algebra. The problems have a wide variation in difficulty, which is indicated by the number of stars.' http://www.merlot.org/merlot/viewMaterial.htm?id=726628 This is a virtual edition of a developmental algebra textbook. It follows the Suffolk County Community College Mathematics syllabus for our developmental algebra courses, with a few additions.This book has a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License and may be used and shared for any non-profit educational purpose. http://www.merlot.org/merlot/viewMaterial.htm?id=703660 This is an online Intermediate Algebra Textbook. In each section there are many videos and exercises.