Search results for "Mathematics & Statistics "

Fundamentals of Mathematics

Contributors: Burzynski and Ellis

Publisher: OpenStax CNX

License: CC BY

Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who:

(8 reviews)

A Gentle Introduction to the Art of Mathematics

Contributor: Fields

Publisher: A.T. Still University

License: Free Documentation License (GNU)

This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.

(2 reviews)

Spiral Workbook for Discrete Mathematics

Contributor: Kwong

Publisher: Open SUNY

License: CC BY-NC-SA

This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students' problem-solving and writing skills.

(2 reviews)

Discrete Mathematics: An Open Introduction - 3rd Edition

Contributor: Levin

Publisher: Oscar Levin

License: CC BY-SA

Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Primitive versions were used as the primary textbook for that course since Spring 2013, and have been used by other instructors as a free additional resource. Since then it has been used as the primary text for this course at UNC, as well as at other institutions.

(5 reviews)

Proofs and Concepts: The Fundamentals of Abstract Mathematics

Contributors: Morris and Morris

Publisher: Dave Witte Morris, Joy Morris

License: CC BY-NC-SA

This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.

(5 reviews)

Applied Finite Mathematics

Contributor: Sekhon

Publisher: OpenStax CNX

License: CC BY

Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory.

(2 reviews)

Advanced Problems in Mathematics: Preparing for University

Contributor: Siklos

Publisher: Open Book Publishers

License: CC BY

This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination.

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Mathematics for Elementary Teachers

Contributor: Manes

Publisher: University of Hawaii Manoa

License: CC BY-SA

This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.

(15 reviews)

Advanced Water Mathematics

Contributors: Alvord and Blasberg

Publisher: College of the Canyons

License: CC BY

Learning and Understanding Mathematical Concepts in the Areas of Water Distribution and Water Treatment

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(0 reviews)

The Essence of Mathematics Through Elementary Problems

Contributors: Borovik and Gardiner

Publisher: Open Book Publishers

License: CC BY

It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside. The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works.

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