Extending the Frontiers of Mathematics PDF Download

Author: Edward B. Burger
Publisher:
ISBN: 9780470458396
Category :
Languages : en
Pages :

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Author: Edward B. Burger
Publisher: Key College Publishing
ISBN:
Category : Computers
Languages : en
Pages : 196

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Book Description
This book leads students to develop a mature process that will serve them throughout their professional careers, whether inside or outside of mathematics. Its inquiry-based approach to the foundations of mathematics promotes exploration of proofs and other advanced mathematical ideas. The book uses puzzles and patterns, teaches the "prove and extend or disprove and salvage" approach to problems and proofs, and builds mathematical challenge on challenge to boost skills.

Author: Edward B. Burger
Publisher:
ISBN: 9780470412268
Category :
Languages : en
Pages : 142

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Book Description
Mathematicians do not know in advance if their assertions are true, so they need to verify assertions with rigorous proofs or produce counterexamples, then attempt to salvage the assertions by transforming them into theorems. Extending the Frontiers of Mathematics: Inquiries into Proof and Argumentation invites readers to experience this progression of mathematical discovery. Burger's informal, humorous writing style and intriguing puzzles engage readers throughout the learning process. The innovative text offers a discovery-based approach that is ideal.

Author: Cram101 Textbook Reviews
Publisher: Cram101
ISBN: 9781478490678
Category :
Languages : en
Pages : 76

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Book Description
Never HIGHLIGHT a Book Again Includes all testable terms, concepts, persons, places, and events. Cram101 Just the FACTS101 studyguides gives all of the outlines, highlights, and quizzes for your textbook with optional online comprehensive practice tests. Only Cram101 is Textbook Specific. Accompanies: 9780872893795. This item is printed on demand.

Author: Vladimir Igorevich Arnolʹd
Publisher: American Mathematical Soc.
ISBN: 9780821826973
Category : Mathematics
Languages : en
Pages : 476

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Book Description
A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.

Author: Cram101 Textbook Reviews
Publisher: Cram101
ISBN: 9781467270250
Category : Education
Languages : en
Pages : 96

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Book Description
Never HIGHLIGHT a Book Again! Virtually all of the testable terms, concepts, persons, places, and events from the textbook are included. Cram101 Just the FACTS101 studyguides give all of the outlines, highlights, notes, and quizzes for your textbook with optional online comprehensive practice tests. Only Cram101 is Textbook Specific. Accompanys: 9780470412220 .

Author: Gabriela Goldschmidt
Publisher: Taylor & Francis
ISBN: 1000935485
Category : Technology & Engineering
Languages : en
Pages : 510

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Book Description
Design Thinking, a method widely used in design business and management, has changed the landscape of contemporary design. Whereas in the past non-designers were called upon to serve as external consultants ad-hoc, in an effort to promote creativity and innovation most design teams now consist of a mix of designers and other professionals. The impact of this development on the design landscape in recent years is so far without thorough investigation and analysis of its various influences. This book comprises an edited collection of selected papers from the 13th Design Thinking Research Symposium (DTRS13) which offers an exploration of Design Thinking from theoretical, practical, and pedagogical perspectives as well as critical analysis of the design process. The book is arranged in five parts as follows: Part 1: Thinking about design Part 2: Design thinking in the studio Part 3: Design thinking in practice and professional training Part 4: Design teams of diverse backgrounds, Interdisciplinary projects Part 5: Design and nature; visual representation Providing a comprehensive source for new perspectives on design and Design Thinking, Expanding the Frontiers of Design is ideal for designers and design academics of all disciplines wishing to strengthen and innovate their practice, as well as industry leaders who seek to consolidate their business strategies and evolve their work.

Author: Roza Leikin
Publisher: Springer Nature
ISBN: 3031188683
Category : Education
Languages : en
Pages : 580

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Book Description
This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students’ mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students’ mathematical potential, quality mathematical instruction results from matching the level of mathematical challenge to different students’ potential. Thus, effective integration of mathematical challenge in the instructional process is strongly connected to the equity principle of mathematics education. In the three sections in this volume readers can find diverse views on mathematical challenges in curriculum and instructional design, kinds and variation of mathematically challenging tasks and collections of mathematical problems. Evidence-based analysis is interwoven with theoretical positions expressed by the authors of the chapters. Cognitive, social and affective characteristics of challenging mathematical activities are observed and analyzed. The volume opens new avenues of research in mathematics education, and pose multiple questions about mathematical instruction rich in mathematical challenge for all. The authors invite readers to explore and enjoy mathematical challenges at different levels.

Author: George A Anastassiou
Publisher: World Scientific
ISBN: 9814704458
Category : Mathematics
Languages : en
Pages : 289

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Book Description
This monograph contains the author's work of the last four years in discrete and fractional analysis. It introduces the right delta and right nabla fractional calculus on time scales and continues with the right delta and right nabla discrete fractional calculus in the Caputo sense. Then, it shows representation formulae of functions on time scales and presents Ostrowski type inequalities, Landau type inequalities, Grüss type and comparison of means inequalities, all these over time scales. The volume continues with integral operator inequalities and their multivariate vectorial versions using convexity of functions, again all these over time scales. It follows the Grüss and Ostrowski type inequalities involving s-convexity of functions; and also examines the general case when several functions are involved. Then, it presents the general fractional Hermite-Hadamard type inequalities using m-convexity and (s, m)-convexity. Finally, it introduces the reduction method in fractional calculus and its connection to fractional Ostrowski type inequalities is studied.This book's results are expected to find applications in many areas of pure and applied mathematics, especially in difference equations and fractional differential equations. The chapters are self-contained and can be read independently, and advanced courses can be taught out of it. It is suitable for researchers, graduate students, seminars of the above subjects, and serves well as an invaluable resource for all science libraries.

Author: Bharath Sriraman
Publisher: Springer Science & Business Media
ISBN: 3642007422
Category : Education
Languages : en
Pages : 650

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Book Description
Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.