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Author: Catherine D. LeTourneau
Publisher:
ISBN: 9780821582336
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Author: Catherine D. LeTourneau
Publisher:
ISBN: 9780821582336
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Author: Dr. S.B.D. Dwivedi
Publisher: Goyal Brothers Prakashan
ISBN: 8183890970
Category : Juvenile Nonfiction
Languages : en
Pages :
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Book Description
Goyal Brothers Prakashan
Author: Tim Browning
Publisher: Springer Nature
ISBN: 3030868729
Category : Mathematics
Languages : en
Pages : 175
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Book Description
The Hardy–Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists. Not only is it capable of handling remarkably general systems of polynomial equations defined over arbitrary global fields, but it can also shed light on the space of rational curves that lie on algebraic varieties. This book, in which the arithmetic of cubic polynomials takes centre stage, is aimed at bringing beginning graduate students into contact with some of the many facets of the circle method, both classical and modern. This monograph is the winner of the 2021 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.
Author: Prof. M.L. Aggarwal
Publisher: Avichal Publishing Company
ISBN: 8178555123
Category :
Languages : en
Pages : 408
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Book Description
Mastering Mathematics - Class 8 has been written by Prof. M.L. Aggarwal in accordance with the latest syllabus prepared by The Inter State Board for Anglo-Indian Education.
Author: Shai Simonson
Publisher: American Mathematical Soc.
ISBN: 1470451204
Category : Education
Languages : en
Pages : 241
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Book Description
Rediscovering Mathematics is aimed at a general audience and addresses the question of how best to teach and study mathematics. The book attempts to bring the exciting and dynamic world of mathematics to a non-technical audience. With so much focus today on how best to educate the new generation and make mathematics less rote and more interactive, this book is an eye-opening experience for many people who suffered with dull math teachers and curricula. Rediscovering Mathematics is an eclectic collection of mathematical topics and puzzles aimed at talented youngsters and inquisitive adults who want to expand their view of mathematics. By focusing on problem solving, and discouraging rote memorization, the book shows how to learn and teach mathematics through investigation, experimentation, and discovery. Rediscovering Mathematics is also an excellent text for training math teachers at all levels. Topics range in difficulty and cover a wide range of historical periods, with some examples demonstrating how to uncover mathematics in everyday life, including: number theory and its application to secure communication over the Internet, the algebraic and combinatorial work of a medieval mathematician Rabbi, and applications of probability to sports, casinos, and gambling. Rediscovering Mathematics provides a fresh view of mathematics for those who already like the subject, and offers a second chance for those who think they don't.
Author: Kathryn B. Chval
Publisher: Corwin Press
ISBN: 1071810839
Category : Education
Languages : en
Pages : 317
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Book Description
Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.
Author: Stig I. Andersson
Publisher: Birkhäuser
ISBN: 3034889380
Category : Mathematics
Languages : en
Pages : 202
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Book Description
Most polynomial growth on every half-space Re (z) ::::: c. Moreover, Op(t) depends holomorphically on t for Re t> O. General references for much of the material on the derivation of spectral functions, asymptotic expansions and analytic properties of spectral functions are [A-P-S] and [Sh], especially Chapter 2. To study the spectral functions and their relation to the geometry and topology of X, one could, for example, take the natural associated parabolic problem as a starting point. That is, consider the 'heat equation': (%t + p) u(x, t) = 0 { u(x, O) = Uo(x), tP which is solved by means of the (heat) semi group V(t) = e- ; namely, u(·, t) = V(t)uoU· Assuming that V(t) is of trace class (which is guaranteed, for instance, if P has a positive principal symbol), it has a Schwartz kernel K E COO(X x X x Rt, E* ®E), locally given by 00 K(x, y; t) = L>-IAk(~k ® 'Pk)(X, y), k=O for a complete set of orthonormal eigensections 'Pk E COO(E). Taking the trace, we then obtain: 00 tA Op(t) = trace(V(t)) = 2::>- k. k=O Now, using, e. g., the Dunford calculus formula (where C is a suitable curve around a(P)) as a starting point and the standard for malism of pseudodifferential operators, one easily derives asymptotic expansions for the spectral functions, in this case for Op.
Author: Larry Laudan
Publisher: Univ of California Press
ISBN: 9780520037212
Category : Science
Languages : en
Pages : 276
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Book Description
"A book that shakes philosophy of science to its roots. Laudan both destroys and creates. With detailed, scathing criticisms, he attacks the 'pregnant confusions' in extant philosophies of science. The progress they espouse derives from strictly empirical criteria, he complains, and this clashes with historical evidence. Accordingly, Laudan constructs a remedy from historical examples that involves nothing less than the redefinition of scientific rationality and progress . . . Surprisingly, after this reshuffling, science still looks like a noble-and progressive-enterprise ... The glory of Laudan's system is that it preserves scientific rationality and progress in the presence of social influence. We can admit extra-scientific influences without lapsing into complete relativism. . . a must for both observers and practitioners of science." --Physics Today "A critique and substantial revision of the historic theories of scientific rationality and progress (Popper, Kuhn, Lakatos, Feyerabend, etc.). Laudan focuses on contextual problem solving effectiveness (carefully defined) as a criterion for progress, and expands the notion of 'paradigm' to a 'research tradition,' thus providing a meta-empirical basis for the commensurability of competing theories. From this perspective, Laudan suggests revised programs for history and philosophy of science, the history of ideas, and the sociology of science. A superb work, closely argued, clearly written, and extensively annotated, this book will become a widely required text in intermediate courses."--Choice
Author: Dr. S.B.D. Dwivedi
Publisher: Goyal Brothers Prakashan
ISBN: 8183890954
Category : Juvenile Nonfiction
Languages : en
Pages :
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Book Description
Goyal Brothers Prakashan
Author: Nick Asker
Publisher:
ISBN: 9781292327174
Category :
Languages : en
Pages : 280
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Book Description
Maths Progress International has been designed specifically for international students and provides seamless progression to Pearson Edexcel International GCSE Maths (9-1), as well as complete coverage of the Pearson Edexcel iLowerSecondary Award and the UK Curriculum objectives. This Student Book follows a unique mastery approach that aims to nurture confidence, build fluency, improve problem-solving skills and develop mathematical reasoning to fully prepare students for the transition to Key Stage 4 and beyond. Developed to build the skills and knowledge needed to progress to International GCSE 9-1 Mathematics for a consistent learning experience from 11-16. Designed with the international student in mind with appropriate cultural sensitivity, international contexts and written for EAL learners. Follows a mastery approach and unique unit structure that has been shown to help to build confidence in mathematics. Matched to the iLower Secondary curriculum and the UK curriculum objectives so you can be sure you have all you need whatever curriculum you are following.
