Browse:
Subject Area: Mathematics and Statistics
(Complete Item Description)
- Abstract: This book is about identities in general, and hypergeometric identities in particular, with emphasis on computer methods of discovery and proof. The book describes a number of algorithms for doing these tasks.
(Complete Item Description)
- Abstract: Advanced Algebra II provides three complementary resources for teachers and students that combine to provide a friendly, easy-to-understand explanation of Algebra II concepts. The main text, "Activities and Homework", consists of a series of worksheets for both in-class group work as well as homework assignments. The concepts behind those activities are described in detail in the "Conceptual Explanations" text. The third book, the "Teacher's Guide", provides instructors with guides and suggestions for presenting these materials.
Over a period of time, I have developed a set of in-class assignments, homeworks, and lesson plans, that work for me and for other people who have tried them. If I give you the in-class assignments and the homeworks, but not the lesson plans, you only have ⅔ of the story; and it may not make sense without the other third. So instead, I am giving you everything: the in-class assignments and the homeworks (the Homework and Activities book), the detailed explanations of all the concepts (the Conceptual Explanations book), and the lesson plans (the Teacher's Guide). Once you read them over, you will know exactly what I have done.
This digital textbook was reviewed for its alignment with California content standards.
- Subject:
Mathematics and Statistics
- Grade Level:
Secondary
- Collection:
Connexions
(Complete Item Description)
- Abstract: This is the Conceptual Explanations part of Kenny Felder's course in Advanced Algebra II. It is intended for students to read on their own to refresh or clarify what they learned in class. This text is designed for use with the "Advanced Algebra II: Homework and Activities" and the "Advanced Algebra II: Teacher's Guide" collections (coming soon) to make up the entire course.
- Subject:
Mathematics and Statistics
- Grade Level:
Secondary
- Collection:
Connexions
(Complete Item Description)
- Abstract: Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.
Note: this is a 57 MB PDF Document.
- Subject:
Mathematics and Statistics
- Grade Level:
Post-secondary
- Collection:
Individual Authors
(Complete Item Description)
- Abstract: This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text.
- Subject:
Mathematics and Statistics
- Grade Level:
Post-secondary
- Collection:
The Trillia Group
(Complete Item Description)
- Abstract: This module contains all 10 chapters of the Applied Finite Mathematics open textbook by Rupinder Sekhon. NOTE: This book is a work in progress and has not yet been marked up in CNXML. You can download individual chapter files from their respective modules.
- Subject:
Mathematics and Statistics
- Grade Level:
Post-secondary
- Collection:
Connexions
(Complete Item Description)
- Abstract: Grade 10: Arithmetic Sequences. Investigate number patterns (including but not limited to those where there is a constant difference between consecutive terms in a number pattern, and the general term is therefore linear) and hence:*) make conjectures and generalisations*) provide explanations and justifications and attempt to prove conjectures.
(Complete Item Description)
- Abstract: This free online textbook is a one semester course in basic analysis. These were my lecture notes for teaching Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in fall 2009. The course is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A Sample Darboux sums prerequisite for the course is a basic proof course. The course does not cover topics such as metric spaces, which a more advanced course would. It should be possible to use these notes for a beginning of a more advanced course, but further material should be added.
(Complete Item Description)
- Abstract: This book helps the student complete the transition from purely manipulative to rigorous mathematics. The clear exposition covers many topics that are assumed by later courses but are often not covered with any depth or organization: basic set theory, induction, quantifiers, functions and relations, equivalence relations, properties of the real numbers (including consequences of the completeness axiom), fields, and basic properties of n-dimensional Euclidean spaces.
- Subject:
Mathematics and Statistics
- Grade Level:
Post-secondary
- Collection:
The Trillia Group
(Complete Item Description)
- Abstract: This book describes the fundamentals fluid mechanics phenomena for engineers and others. This book is designed to replace all introductory textbook(s) or instructor's notes for the fluid mechanics in undergraduate classes for engineering/science students but also for technical peoples. It is hoped that the book could be used as a reference book for people who have at least some basics knowledge of science areas such as calculus, physics, etc.
- Subject:
Mathematics and Statistics, Science and Technology
- Grade Level:
Post-secondary
- Collection:
Individual Authors
(Complete Item Description)
- Abstract: This Internet resource provides introductory information, concept or skill development in Mathematics for grade 9, 10, 11, and 12 students who are at grade level in a single student situation. This text was initially written by David Guichard. The single variable material (not including infinite series) was originally a modification and expansion of notes written by Neal Koblitz at the University of Washington, who generously gave permission to use, modify, and distribute his work. New material has been added, and old material has been modified, so some portions now bear little resemblance to the original.
This digital textbook was reviewed for its alignment with California content standards.
- Subject:
Mathematics and Statistics
- Grade Level:
Secondary, Post-secondary
- Collection:
Whitman College
(Complete Item Description)
- Abstract: The textbook "Calculus" by Gilbert Strang, is a modern calculus text written in a human-friendly style. Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide.
This digital textbook was reviewed for its alignment with California content standards.
- Subject:
Mathematics and Statistics
- Grade Level:
Secondary, Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: This books covers the following topics: Geometry of Rn; functions from R to Rn; functions from Rn to R; functions from Rm to Rn.
- Subject:
Mathematics and Statistics
- Grade Level:
Post-secondary
- Collection:
Furman University
(Complete Item Description)
- Abstract: This book introduces differentiability as a local property without using limits. The philosophy behind this idea is that limits are the a big stumbling block for most students who see calculus for the first time, and they take up a substantial part of the first semester.
(Complete Item Description)
- Abstract: CK-12's Geometry delivers a full course of study in the mathematics of shape and space for the high school student, relating the ancient logic and modern applications of measurement and description to its essential elements, processes of reasoning and proof, parallel and perpendicular lines, congruence and similarity, relationships within triangles and among quadrilaterals, trigonometry of right triangles, circles, perimeter, area, surface area, volume, and geometric transformations.
This digital textbook was reviewed for its alignment with California content standards
- Subject:
Mathematics and Statistics
- Grade Level:
Secondary
- Collection:
FlexBook
(Complete Item Description)
- Abstract: CK-12 Single Variable Calculus delivers a well-integrated course for the college-bound high school student covering advanced placement topics of functions, limits, and continuity; derivatives and applications of derivatives; integration and applications of definite integrals; transcendental functions; integration techniques; and infinite series.
This digital textbook was reviewed for its alignment with California content standards.
- Subject:
Mathematics and Statistics
- Grade Level:
Secondary
- Collection:
FlexBook
(Complete Item Description)
- Abstract: This textbook covers topics such as Trigonometry and Right Angles, Circular Functions, Trigonometric Identities, Inverse Functions, Trigonometric Equations, Triangles and Vectors, as well as Polar Equations and Complex Numbers. It can also be used in conjunction with other directed courses in Mathematical Analysis or Linear Algebra as a full course in Precalculus.
This digital textbook was reviewed for its alignment with California content standards.
- Subject:
Mathematics and Statistics
- Grade Level:
Secondary
- Collection:
FlexBook
(Complete Item Description)
- Abstract: Written with the advanced undergraduate or graduate student in mind, Electromagnetic Field Theory is a textbook on the theory of electrodynamics, at roughly the same level as the well-known textbooks by Jackson and Panofsky&Phillips. The book is written mainly from a classical field theoretical point of view, emphasising fundamental and subtle properties of the EM field and includes a comprehensive appendix on the mathematical methods used.
- Subject:
Mathematics and Statistics, Science and Technology
- Grade Level:
Post-secondary
- Collection:
Uppsala University
(Complete Item Description)
- Abstract: Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members at De Anza College in Cupertino, California. The textbook was developed over several years and has been used in regular and honors-level classroom settings and in distance learning classes. This textbook is intended for introductory statistics courses being taken by students at two– and four–year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it. The textbook is also available in printed form from Qoop.com.
- Subject:
Mathematics and Statistics
- Grade Level:
Post-secondary
- Collection:
Connexions
Take a Survey
Take a quick survey to tell us about your unique needs for teaching and learning.
Click here to start »
