
Categories  Free Downloadable Mathematics eBooks!  
Mathematical Illustrations: A Manual of Geometry and PostScript The many small simple graphics projects can also be used in courses in geometry, graphics, or general mathematics. Combinatorics Through Guided Discovery This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as 'counting'. Active Calculus Rather than detailed explanations and worked out examples, this book uses activities intended to be done by the students in order to present the standard concepts and computational techniques of calculus. The student activities provide most of the material to be assigned as homework. Understanding Algebra A brief overview of prealgebra and introductory algebra topics, written in a style meant to give you the basic facts in a way that is easy to understand. This text is suitable for highschool Algebra I, as a refresher for college students who need help preparing for collegelevel mathematics, or for anyone who wants to learn introductory algebra. Foundations of Combinatorics with Applications This introduction to combinatorics is suitable for upperlevel undergraduates and graduate students in engineering, science, and mathematics. Covers basic counting, functions, decision trees, and sieving methods; fundamental concepts in graph theory and a sampler of graph topics; induction and recursion, sorting theory, and rooted plane trees. Numerous exercises (some with solutions), notes, and references. Includes 75 figures. Appendixes. Exploring Discrete Dynamics EXPLORING DISCRETE DYNAMICS is a comprehensive guide to studying cellular automata and discrete dynamical networks with the classic software Discrete Dynamics Laboratory (DDLab), widely used in research and education. Higher Algebra This book is an informal and readable introduction to higher algebra at the postcalculus level with focus on Stable infiniteCategories; infiniteOperads; Algebras and Modules over infinteOperads; Associative Algebras and Their Modules; Little Cubes and Factorizable Sheaves; Algebraic Structures on infiniteCategories; Algebra in the Stable Homotopy Category; Constructible Sheaves and Exit Paths; Categorical Patterns. Statistical Spectral Analysis: A NonProbabilistic Theory This book is intended to serve as both a graduatelevel textbook and a technical reference. The focus is on fundamental concepts, analytical techniques, and basic empirical methods. The only prerequisite is an introductory course on Fourier analysis. Variational Analysis From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions and the like. Math in Society: A Survey of Mathematics for the Liberal Arts Major This book is a survey of contemporary mathematical topics, most nonalgebraic, appropriate for a collegelevel quantitative literacy topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. 
