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Foundations Of Mathematics For Virginia 2e Textbook
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Book Synopsis Concrete Mathematics by : Ronald L. Graham
Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.
Book Synopsis Proofs from THE BOOK by : Martin Aigner
Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Book Synopsis Book of Proof by : Richard H. Hammack
Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
Download or read book APEX Calculus written by Gregory Hartman and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).
Book Synopsis Algebra and Trigonometry by : Jay P. Abramson
Download or read book Algebra and Trigonometry written by Jay P. Abramson and published by . This book was released on 2015-02-13 with total page 1564 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.
Book Synopsis Introductory Statistics 2e by : Barbara Illowsky
Download or read book Introductory Statistics 2e written by Barbara Illowsky and published by . This book was released on 2023-12-13 with total page 2106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.
Book Synopsis Foundations of Topology by : C. Wayne Patty
Download or read book Foundations of Topology written by C. Wayne Patty and published by Jones & Bartlett Learning. This book was released on 2009 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is a branch of pure mathematics that deals with the abstract relationships found in geometry and analysis. Written with the mature student in mind, Foundations of Topology, Second Edition, provides a user-friendly, clear, and concise introduction to this fascinating area of mathematics. The author introduces topics that are well motivated with thorough proofs that make them easy to follow. Historical comments are dispersed throughout the text, and exercises, varying in degree of difficulty, are found at the end of each chapter. Foundations of Topology is an excellent text for teaching students how to develop the skill to write clear and precise proofs.
Download or read book College Algebra written by Jay Abramson and published by . This book was released on 2018-01-07 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory
Book Synopsis How to Give Effective Feedback to Your Students, Second Edition by : Susan M. Brookhart
Download or read book How to Give Effective Feedback to Your Students, Second Edition written by Susan M. Brookhart and published by ASCD. This book was released on 2017-03-10 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Properly crafted and individually tailored feedback on student work boosts student achievement across subjects and grades. In this updated and expanded second edition of her best-selling book, Susan M. Brookhart offers enhanced guidance and three lenses for considering the effectiveness of feedback: (1) does it conform to the research, (2) does it offer an episode of learning for the student and teacher, and (3) does the student use the feedback to extend learning? In this comprehensive guide for teachers at all levels, you will find information on every aspect of feedback, including • Strategies to uplift and encourage students to persevere in their work. • How to formulate and deliver feedback that both assesses learning and extends instruction. • When and how to use oral, written, and visual as well as individual, group, or whole-class feedback. • A concise and updated overview of the research findings on feedback and how they apply to today's classrooms. In addition, the book is replete with examples of good and bad feedback as well as rubrics that you can use to construct feedback tailored to different learners, including successful students, struggling students, and English language learners. The vast majority of students will respond positively to feedback that shows you care about them and their learning. Whether you teach young students or teens, this book is an invaluable resource for guaranteeing that the feedback you give students is engaging, informative, and, above all, effective.
Download or read book Prealgebra 2e written by Lynn Marecek and published by . This book was released on 2020-03-11 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi.
Download or read book Prealgebra written by Lynn Marecek and published by . This book was released on 2015-09-25 with total page 1138 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Prealgebra follows a nontraditional approach in its presentation of content. The beginning, in particular, is presented as a sequence of small steps so that students gain confidence in their ability to succeed in the course. The order of topics was carefully planned to emphasize the logical progression throughout the course and to facilitate a thorough understanding of each concept. As new ideas are presented, they are explicitly related to previous topics."--BC Campus website.
Book Synopsis The Foundations of Mathematics by : Kenneth Kunen
Download or read book The Foundations of Mathematics written by Kenneth Kunen and published by . This book was released on 2009 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Lowenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continues the foundational issues begun in the set theory chapter. Mathematics can now be viewed as formal proofs from ZFC. Also, model theory leads to models of set theory. This includes a discussion of absoluteness, and an analysis of models such as H( ) and R( ). The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness theorems of Godel, and Tarski's theorem on the non-definability of truth.
Book Synopsis Mathematical Analysis I by : Vladimir A. Zorich
Download or read book Mathematical Analysis I written by Vladimir A. Zorich and published by Springer Science & Business Media. This book was released on 2004-01-22 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.
Book Synopsis Algebra II Practice Book, Grades 7 - 12 by : Barbara R. Sandall, Ed.D.
Download or read book Algebra II Practice Book, Grades 7 - 12 written by Barbara R. Sandall, Ed.D. and published by Mark Twain Media. This book was released on 2006-01-01 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simplifies the concepts of inequalities; linear equations; polynomial products and factors; rational expressions; roots, radicals, and complex numbers; quadratic equations and functions; as well as variation. Includes clear instructions, examples, practice problems, definitions, problem-solving strategies, an assessment section, answer keys, and references. Geared toward struggling students. Supports NCTM standards.
Book Synopsis Algebra II Practice Book, Grades 7 - 8 by : Barbara R. Sandall
Download or read book Algebra II Practice Book, Grades 7 - 8 written by Barbara R. Sandall and published by Mark Twain Media. This book was released on 2008-09-02 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make algebra equations easy for students in grades 7 and up using Algebra II Practice! This 128-page book is geared toward students who struggle in algebra II and covers the concepts of inequalities, linear equations, polynomial products and factors, rational expressions, roots, radicals, complex numbers, quadratic equations and functions, and variations. The book supports NCTM standards and includes clear instructions, examples, practice problems, definitions, problem-solving strategies, an assessment section, answer keys, and references.
Book Synopsis The Success Criteria Playbook by : John Almarode
Download or read book The Success Criteria Playbook written by John Almarode and published by Corwin Press. This book was released on 2021-02-05 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provide students a clear view of what success looks like for any process, task, or product. What does success look like for your students? How will they know if they have learned? This essential component of teaching and learning can be difficult to articulate but is vital to achievement for both teachers and students. The Success Criteria Playbook catapults teachers beyond learning intentions to define clearly what success looks like for every student—whether face-to-face or in a remote learning environment. Designed to be used collaboratively in grade-level, subject area teams—or even on your own—the step-by-step playbook expands teacher understanding of how success criteria can be utilized to maximize student learning and better engage learners in monitoring and evaluating their own progress. Each module is designed to support the creation and immediate implementation of high-quality, high impact success criteria and includes: • Templates that allow for guided and independent study for teachers. • Extensive STEM-focused examples from across the K-12 STEM curriculum to guide teacher learning and practice. • Examples of success criteria applied across learning domains and grades, including high school content, skills, practices, dispositions, and understandings. Ensure equity of access to learning and opportunity for all students by designing and employing high-quality, high-impact success criteria that connect learners to a shared understanding of what success looks like for any given learning intention.
Download or read book Inquiry written by and published by . This book was released on 1999 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
