A Gateway To Higher Mathematics
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A Gateway To Higher Mathematics
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Author : Jason H. Goodfriend
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2005
A Gateway To Higher Mathematics written by Jason H. Goodfriend and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
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
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Author : Robert Messer
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-07-12
Linear Algebra Gateway To Mathematics Second Edition written by Robert Messer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-12 with Education categories.
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.
The Definitive Guide To Learning Higher Mathematics
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Author : Math Vault
language : en
Publisher: Math Vault Publishing
Release Date : 2018-11-01
The Definitive Guide To Learning Higher Mathematics written by Math Vault and has been published by Math Vault Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-01 with Mathematics categories.
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
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Author : Bob A Dumas
language : en
Publisher:
Release Date : 2015
Transition To Higher Mathematics written by Bob A Dumas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.
Foundations Of Higher Mathematics
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Author : Daniel M. Fendel
language : en
Publisher: Addison Wesley
Release Date : 1990
Foundations Of Higher Mathematics written by Daniel M. Fendel and has been published by Addison Wesley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Foundations of Higher Mathematics: Exploration and Proof is the ideal text to bridge the crucial gap between the standard calculus sequence and upper division mathematics courses. The book takes a fresh approach to the subject: it asks students to explore mathematical principles on their own and challenges them to think like mathematicians. Two unique features-an exploration approach to mathematics and an intuitive and integrated presentation of logic based on predicate calculus-distinguish the book from the competition. Both features enable students to own the mathematics they're working on. As a result, your students develop a stronger motivation to tackle upper-level courses and gain a deeper understanding of concepts presented.
Foundations Of Higher Mathematics
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Author : Stella Fletcher
language : en
Publisher:
Release Date : 1992
Foundations Of Higher Mathematics written by Stella Fletcher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
The Calculus Gallery
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Author : William Dunham
language : en
Publisher: Princeton University Press
Release Date : 2018-11-13
The Calculus Gallery written by William Dunham and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-13 with Mathematics categories.
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.
An Accompaniment To Higher Mathematics
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Author : George R. Exner
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-06-22
An Accompaniment To Higher Mathematics written by George R. Exner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-22 with Mathematics categories.
Designed for students preparing to engage in their first struggles to understand and write proofs and to read mathematics independently, this is well suited as a supplementary text in courses on introductory real analysis, advanced calculus, abstract algebra, or topology. The book teaches in detail how to construct examples and non-examples to help understand a new theorem or definition; it shows how to discover the outline of a proof in the form of the theorem and how logical structures determine the forms that proofs may take. Throughout, the text asks the reader to pause and work on an example or a problem before continuing, and encourages the student to engage the topic at hand and to learn from failed attempts at solving problems. The book may also be used as the main text for a "transitions" course bridging the gap between calculus and higher mathematics. The whole concludes with a set of "Laboratories" in which students can practice the skills learned in the earlier chapters on set theory and function theory.
Discovering Higher Mathematics
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Author : Alan Levine
language : en
Publisher: Academic Press
Release Date : 1999-10-29
Discovering Higher Mathematics written by Alan Levine and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-29 with Mathematics categories.
Funded by a National Science Foundation grant, Discovering Higher Mathematics emphasizes four main themes that are essential components of higher mathematics: experimentation, conjecture, proof, and generalization. The text is intended for use in bridge or transition courses designed to prepare students for the abstraction of higher mathematics. Students in these courses have normally completed the calculus sequence and are planning to take advanced mathematics courses such as algebra, analysis and topology. The transition course is taken to prepare students for these courses by introducing them to the processes of conjecture and proof concepts which are typically not emphasized in calculus, but are critical components of advanced courses. * Constructed around four key themes: Experimentation, Conjecture, Proof, and Generalization * Guidelines for effective mathematical thinking, covering a variety of interrelated topics * Numerous problems and exercises designed to reinforce the key themes
Higher Mathematics
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Author :
language : en
Publisher:
Release Date : 2022
Higher Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.