Confused about the various concepts on Quadratic Functions taught in school or simply want more practice questions? This book on Quadratic Functions seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (SL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

Confused about the various concepts on Binomial Theorem taught in school or simply want more practice questions? This book on Binomial Theorem seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (SL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

Confused about the various concepts on Transformation and Graphs taught in school or simply want more practice questions? This book on Transformation and Graphs seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (SL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

Confused about the various concepts on Geometry and Trigonometry taught in school or simply want more practice questions? This book on Geometry and Trigonometry seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (SL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

Through clear explanations, a large number of worked examples and many exercises, this textbook prepares students for the International Baccalaureate Mathematics Standard Level course.

This is a book for teachers, by teachers, from elementary school to university level classrooms. It is about the use of creative instructional strategies in K-12 classroom settings, and the transformations the teachers made in their journeys from being traditional practitioners to “becoming pedagogical” in their approaches to teaching and learning across the curriculum. Over twenty teachers conducted research in their classrooms on the implementation of creative strategies, tactics, graphics organizers, and visual journals in teaching and learning. They have written their inquiries in a narrative style, informed by various forms of arts based educational research. Their research is approachable and usable by other teachers who are interested in becoming reflective-reflexive practitioners. Many of the strategies, tactics, and graphics organizers are described by Barrie Bennett in his widely used textbook, Beyond Monet: The Artful Science of Instructional Intelligence. However, through their journeys of becoming teacher-learner-researchers, many discovered numerous, creative variations of Bennett’s work as it was implemented in their classrooms. While there are many professional books that provide ideas on collaborative learning and creative teaching approaches, there is very little published research on the efficacy of these concepts in the K-12 classroom. These inquiries provide practical insights into how inspired teachers can conduct research on improving their own practice as well as on greatly improving their students’ learning. Thus, this book has widespread interest for teachers and administrators who seek to implement systemic changes in the ways that teachers teach, and children learn, in the 21st century.

This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3,...,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry.

This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with q-analogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semi-simple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fand-Tsetlin basis, and, finally, modular forms, theta-functions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.