A Gateway To Higher Mathematics

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A Gateway to Higher Mathematics

Author : Jason H. Goodfriend
Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763727338
Total Pages : 346 pages
Book Rating : 4.7/5 (273 download)

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Book Synopsis A Gateway to Higher Mathematics by : Jason H. Goodfriend

Download or read book A Gateway to Higher Mathematics written by Jason H. Goodfriend and published by Jones & Bartlett Learning. This book was released on 2005 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Gateway to Higher Mathematics integrates the process of teaching students how to do proofs into the framework of displaying the development of the real number system. The text eases the students into learning how to construct proofs, while preparing students how to cope with the type of proofs encountered in the higher-level courses of abstract algebra, analysis, and number theory. After using this text, the students will not only know how to read and construct proofs, they will understand much about the basic building blocks of mathematics. The text is designed so that the professor can choose the topics to be emphasized, while leaving the remainder as a reference for the students.

Linear Algebra: Gateway to Mathematics: Second Edition

Author : Robert Messer
Publisher : American Mathematical Soc.
ISBN 13 : 1470462958
Total Pages : 420 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear Algebra: Gateway to Mathematics: Second Edition by : Robert Messer

Download or read book Linear Algebra: Gateway to Mathematics: Second Edition written by Robert Messer and published by American Mathematical Soc.. This book was released on 2021-07-12 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra: Gateway to Mathematics uses linear algebra as a vehicle to introduce students to the inner workings of mathematics. The structures and techniques of mathematics in turn provide an accessible framework to illustrate the powerful and beautiful results about vector spaces and linear transformations. The unifying concepts of linear algebra reveal the analogies among three primary examples: Euclidean spaces, function spaces, and collections of matrices. Students are gently introduced to abstractions of higher mathematics through discussions of the logical structure of proofs, the need to translate terminology into notation, and efficient ways to discover and present proofs. Application of linear algebra and concrete examples tie the abstract concepts to familiar objects from algebra, geometry, calculus, and everyday life. Students will finish a course using this text with an understanding of the basic results of linear algebra and an appreciation of the beauty and utility of mathematics. They will also be fortified with a degree of mathematical maturity required for subsequent courses in abstract algebra, real analysis, and elementary topology. Students who have prior background in dealing with the mechanical operations of vectors and matrices will benefit from seeing this material placed in a more general context.

Linear Algebra: Gateway to Mathematics: Second Edition

Author : Robert Messer
Publisher : American Mathematical Soc.
ISBN 13 : 1470462958
Total Pages : 420 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear Algebra: Gateway to Mathematics: Second Edition by : Robert Messer

The Definitive Guide to Learning Higher Mathematics

Author : Math Vault
Publisher : Math Vault Publishing
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4./5 ( download)

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Book Synopsis The Definitive Guide to Learning Higher Mathematics by : Math Vault

Download or read book The Definitive Guide to Learning Higher Mathematics written by Math Vault and published by Math Vault Publishing. This book was released on 2018-11-01 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Definitive Guide to Learning Higher Mathematics is a comprehensive, illustrated guide to help you optimize higher mathematical learning, thinking and problem solving through 10 foundational principles and countless actionable tips. In 10 chapters and 86 pages, it’ll take you around the different aspects of higher mathematical learning, leaving no stone unturned from material selection, big picture thinking, proximal zone, cognitive techniques to proactive learning, head-processing, scientific method and social learning. Hightlights - Extensive actionable tips to illustrate each principle involved - Extensive annotations, pro-tips, quotes and illustrations for better insight - Carefully prepared after-chapter summaries for better understanding - Printable PDF format (8.5 in. x 11 in.) with linkable table of contents and index for handy reference and reviewing Table of Contents 0. Preface 1. Choose Your Materials Judiciously 2. Always Keep the Big Picture in Mind 3. Operate within the Proximal Zone 4. Isolate Until Mastered Before Moving On 5. Be a Proactive, Independent Thinker and Learner 6. Do Most Things Inside Your Head 7. Practice the Scientific Method in a Creative Way 8. Don’t Fret Too Much About Real-life Applicability 9. Scale Up Learning by Going Social 10. Embrace the Mathematical Experience 11. Last Few Words 12. Index

Transition to Higher Mathematics

Author : Bob A Dumas
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (119 download)

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Book Synopsis Transition to Higher Mathematics by : Bob A Dumas

Download or read book Transition to Higher Mathematics written by Bob A Dumas and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Engineering Mathematics

Author : Dennis G. Zill
Publisher : Jones & Bartlett Publishers
ISBN 13 : 1449679773
Total Pages : 1029 pages
Book Rating : 4.4/5 (496 download)

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Book Synopsis Advanced Engineering Mathematics by : Dennis G. Zill

Download or read book Advanced Engineering Mathematics written by Dennis G. Zill and published by Jones & Bartlett Publishers. This book was released on 2014 with total page 1029 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern and comprehensive, the new Fifth Edition of Zill's Advanced Engineering Mathematics, Fifth Edition provides an in depth overview of the many mathematical topics required for students planning a career in engineering or the sciences. A key strength of this best-selling text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fifth Edition is a full compendium of topics that are most often covered in the Engineering Mathematics course or courses, and is extremely flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. The new edition offers a reorganized project section to add clarity to course material and new content has been added throughout, including new discussions on: Autonomous Des and Direction Fields; Translation Property, Bessel Functions, LU-Factorization, Da Vinci's apparatus for determining speed and more. New and Key Features of the Fifth Edition: - Available with WebAssign with full integrated eBook - Two new chapters, Probability and Statistics, are available online - Updated example throughout - Projects, formerly found at the beginning of the text, are now included within the appropriate chapters. - New and updated content throughout including new discussions on: Autonomous Des and Direction Fields; Translation Property, Bessel Functions, LU-Factorization, Da Vinci's apparatus for determing speed and more. - The Student Companion Website, included with every new copy, includes a wealth of study aids, learning tools, projects, and essays to enhance student learning Instructor materials include: complete instructor solutions manual, PowerPoint Image Bank, and Test Bank.

Advanced Engineering Mathematics - Book Alone

Author : Dennis G. Zill
Publisher : Jones & Bartlett Learning
ISBN 13 : 1284033856
Total Pages : 1029 pages
Book Rating : 4.2/5 (84 download)

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Book Synopsis Advanced Engineering Mathematics - Book Alone by : Dennis G. Zill

Download or read book Advanced Engineering Mathematics - Book Alone written by Dennis G. Zill and published by Jones & Bartlett Learning. This book was released on 2012-10-01 with total page 1029 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern and comprehensive, the new Fifth Edition of Zill's Advanced Engineering Mathematics, Fifth Edition provides an in depth overview of the many mathematical topics required for students planning a career in engineering or the sciences. A key strength of this best-selling text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fifth Edition is a full compendium of topics that are most often covered in the Engineering Mathematics course or courses, and is extremely flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. The new edition offers a reorganized project section to add clarity to course material and new content has been added throughout, including new discussions on: Autonomous Des and Direction Fields; Translation Property, Bessel Functions, LU-Factorization, Da Vinci's apparatus for determining speed and more. New and Key Features of the Fifth Edition: - Available with WebAssign with full integrated eBook - Two new chapters, Probability and Statistics, are available online - Updated example throughout - Projects, formerly found at the beginning of the text, are now included within the appropriate chapters. - New and updated content throughout including new discussions on: Autonomous Des and Direction Fields; Translation Property, Bessel Functions, LU-Factorization, Da Vinci's apparatus for determing speed and more. - The Student Companion Website, included with every new copy, includes a wealth of study aids, learning tools, projects, and essays to enhance student learning Instructor materials include: complete instructor solutions manual, PowerPoint Image Bank, and Test Bank.

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts

Author : David C. Geary
Publisher : Academic Press
ISBN 13 : 0128133686
Total Pages : 360 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts by : David C. Geary

Download or read book Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts written by David C. Geary and published by Academic Press. This book was released on 2017-02-08 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public

Advanced Engineering Mathematics

Author : Dennis Zill
Publisher : Jones & Bartlett Learning
ISBN 13 : 0763779660
Total Pages : 1005 pages
Book Rating : 4.7/5 (637 download)

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Book Synopsis Advanced Engineering Mathematics by : Dennis Zill

Download or read book Advanced Engineering Mathematics written by Dennis Zill and published by Jones & Bartlett Learning. This book was released on 2011 with total page 1005 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying CD-ROM contains ... "a chapter on engineering statistics and probability / by N. Bali, M. Goyal, and C. Watkins."--CD-ROM label.

Foundations of Higher Mathematics

Author : Stella Fletcher
Publisher :
ISBN 13 : 9780534930554
Total Pages : pages
Book Rating : 4.9/5 (35 download)

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Book Synopsis Foundations of Higher Mathematics by : Stella Fletcher

Download or read book Foundations of Higher Mathematics written by Stella Fletcher and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics Classrooms That Promote Understanding

Author : Elizabeth Fennema
Publisher : Routledge
ISBN 13 : 1135676496
Total Pages : 217 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Mathematics Classrooms That Promote Understanding by : Elizabeth Fennema

Download or read book Mathematics Classrooms That Promote Understanding written by Elizabeth Fennema and published by Routledge. This book was released on 1999-04-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Classrooms That Promote Understanding synthesizes the implications of research done by the National Center for Research in Mathematical Sciences on integrating two somewhat diverse bodies of scholarly inquiry: the study of teaching and the study of learning mathematics. This research was organized around content domains and/or continuing issues of education, such as equity and assessment of learning, and was guided by two common goals--defining the mathematics content of the K-12 curriculum in light of the changing mathematical needs of citizens for the 21st century, and identifying common components of classrooms that enable students to learn the redefined mathematics with understanding. To accomplish these goals, classrooms in which instruction facilitated the growth of understanding were established and/or studied. This volume reports and discusses the findings which grew out of this research, and subsequent papers and discussions among the scholars engaged in the endeavor. Section I, "Setting the Stage," focuses on three major threads: What mathematics should be taught; how we should define and increase students' understanding of that mathematics; and how learning with understanding can be facilitated for all students. Section II, "Classrooms That Promote Understanding," includes vignettes from diverse classrooms that illustrate classroom discourse, student work, and student engagement in the mathematics described in Chapter 1 as well as the mental activities described in Chapter 2. These chapters also illustrate how teachers deal with the equity concerns described in Chapter 3. Section III addresses "Developing Classrooms That Promote Understanding." The knowledge of the teaching/learning process gained from the research reported in this volume is a necessary prerequisite for implementing the revisions called for in the current reform movement. The classrooms described show that innovative reform in teaching and learning mathematics is possible. Unlike many volumes reporting research, this book is written at a level appropriate for master's degree students. Very few references are included in the chapters themselves; instead, each chapter includes a short annotated list of articles for expanded reading which provides the scholarly basis and research substantiation for this volume.

The Calculus Gallery

Author : William Dunham
Publisher : Princeton University Press
ISBN 13 : 069118285X
Total Pages : 256 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Calculus Gallery by : William Dunham

Download or read book The Calculus Gallery written by William Dunham and published by Princeton University Press. This book was released on 2018-11-13 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be.

Number Theory in Mathematics Education

Author : Rina Zazkis
Publisher : Routledge
ISBN 13 : 1136501363
Total Pages : 305 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Number Theory in Mathematics Education by : Rina Zazkis

Download or read book Number Theory in Mathematics Education written by Rina Zazkis and published by Routledge. This book was released on 2012-10-12 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education. Topics variously engaged include: *understanding particular concepts related to numerical structure and number theory; *elaborating on the historical and psychological relevance of number theory in concept development; *attaining a smooth transition and extension from pattern recognition to formative principles; *appreciating the aesthetics of number structure; *exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain; *reexamining previously constructed knowledge from a novel angle; *investigating connections between technique and theory; *utilizing computers and calculators as pedagogical tools; and *generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers. Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs. Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.

Exploring Mathematics

Author : Craig Johnson
Publisher : Jones & Bartlett Publishers
ISBN 13 : 1284076229
Total Pages : 676 pages
Book Rating : 4.2/5 (84 download)

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Book Synopsis Exploring Mathematics by : Craig Johnson

Download or read book Exploring Mathematics written by Craig Johnson and published by Jones & Bartlett Publishers. This book was released on 2014-08 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Mathematics: Investigations with Functions is intended for a one- or two-term course in mathematics for college students majoring in the social sciences, English, history, music, art, education, or any of the other majors within liberal arts. The mathematics course of this scope, with an algebra prerequsite, is a popular selection for liberal arts students. This 9-chapter textbook offers modern applications of mathematics in the liberal arts as well as aesthetic features of this rich facet of history and ongoing advancement of human society. With a central theme around the use of the concept of functions, and the inclusion of unique topics and chapters, Exploring Mathematics enables students to explore the next level of mathematics. It attempts to answer the questions, How does mathematics help us to better our society and understand the world around us? and What are some of the unifying ideas of mathematics? The central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Although it would be inappropriate to force a functional connection in every single section, the theme is used whenever possible to provide conceptual bridges between chapters. Developing the concept of a function augments the presentation of many topics in every chapter. The Text's Objectives: The author chose the topics based on meeting the specific NCTM curriculum standards to: 1. Strengthen estimation and computational skills. 2. Utilize algebraic concepts. 3. Emphasize problem-solving and reasoning. 4. Emphasize pattern and relationship recognition. 5. Highlight importance of units in measurement. 6. Highlight importance of the notion of a mathematical function. 7. Display mathematical connections to other disciplines.

Higher Mathematics from an Elementary Point of View

Author : RADEMACHER
Publisher : Birkhäuser
ISBN 13 : 9781489949790
Total Pages : 138 pages
Book Rating : 4.9/5 (497 download)

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Book Synopsis Higher Mathematics from an Elementary Point of View by : RADEMACHER

Download or read book Higher Mathematics from an Elementary Point of View written by RADEMACHER and published by Birkhäuser. This book was released on 2013-09-11 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modeling for the Scientific Method

Author : David Pravica
Publisher : Jones & Bartlett Learning
ISBN 13 : 0763779466
Total Pages : 521 pages
Book Rating : 4.7/5 (637 download)

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Book Synopsis Mathematical Modeling for the Scientific Method by : David Pravica

Download or read book Mathematical Modeling for the Scientific Method written by David Pravica and published by Jones & Bartlett Learning. This book was released on 2011-08-24 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the International Series in Mathematics Mathematical Modeling for the Scientific Method is intended for the sophomore/junior-level student seeking to be well-grounded in mathematical modeling for their studies in biology, the physical sciences, engineering, and/or medicine. It clarifies the connection between deductive and inductive reasoning as used in Mathematics and Science and urges students to think critically about concepts and applications. The authors’ goal is to be introductory in level while covering a broad range of techniques. They unite topics in statistics, linear algebra, calculus and differential equations, while discussing how these subjects are interrelated and utilized. Mathematical Modeling for the Scientific Method leaves students with a clearer perspective of the role of mathematics within the sciences and the understanding of how to rationally work through even rigorous applications with ease.

Essentials of Mathematical Statistics

Author : Brian Albright
Publisher : Jones & Bartlett Publishers
ISBN 13 : 144968534X
Total Pages : 607 pages
Book Rating : 4.4/5 (496 download)

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Book Synopsis Essentials of Mathematical Statistics by : Brian Albright

Download or read book Essentials of Mathematical Statistics written by Brian Albright and published by Jones & Bartlett Publishers. This book was released on 2014 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text combines the topics generally found in main-stream elementary statistics books with the essentials of the underlying theory. The book begins with an axiomatic treatment of probability followed by chapters on discrete and continuous random variables and their associated distributions. It then introduces basic statistical concepts including summarizing data and interval parameter estimation, stressing the connection between probability and statistics. Final chapters introduce hypothesis testing, regression, and non-parametric techniques. All chapters provide a balance between conceptual understanding and theoretical understanding of the topics at hand.