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 Free Download Lyn English, "Theories of Mathematics Education: Seeking New Frontiers" English | 2010 | pages: 650 | ISBN: 3642261183, 3642007414 | PDF | 5,7 mb 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.
 Free Download Agida Manizade, "The Evolution of Research on Teaching Mathematics: International Perspectives in the Digital Era " English | ISBN: 3031311922 | 2023 | 387 pages | PDF | 7 MB This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2) student learning activities in the classroom; 3) interactive mathematics teacher activities, and best practices in mathematics classrooms conducted in the presence of students; 4) pre-post-active mathematics teacher activities such as planning, assessment, and other teaching-related activities outside of the classroom; 5) mathematics teachers' competencies, knowledge, and skills; and 6) mathematics teachers' characteristics, including beliefs, attitudes, and motivation. This book discusses the evolution of such research in mathematics teaching and teacher education in the digital era and is of interest to researchers exploring the field of mathematics teaching and mathematics teacher education as well as educators.  Free Download Alexei Borodin, "Random Matrices (Ias/Park City Mathematics Series) " English | ISBN: 1470452804 | 2019 | 498 pages | PDF | 4 MB A co-publication of the AMS and IAS/Park City Mathematics Institute Random matrix theory has many roots and many branches in mathematics, statistics, physics, computer science, data science, numerical analysis, biology, ecology, engineering, and operations research. This book provides a snippet of this vast domain of study, with a particular focus on the notations of universality and integrability. Universality shows that many systems behave the same way in their large scale limit, while integrability provides a route to describe the nature of those universal limits. Many of the ten contributed chapters address these themes, while others touch on applications of tools and results from random matrix theory. This book is appropriate for graduate students and researchers interested in learning techniques and results in random matrix theory from different perspectives and viewpoints. It also captures a moment in the evolution of the theory, when the previous decade brought major break-throughs, prompting exciting new directions of research.  Free Download Robert A. Meyers, "Mathematics of Complexity and Dynamical Systems" English | 2011 | pages: 1884 | ISBN: 1461418054 | PDF | 37,4 mb Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic.  Free Download Mathematics for Natural Scientists II: Advanced Methods English | 2024 | ISBN: 3031463196 | 949 Pages | PDF EPUB (True) | 82 MB This textbook, the second in a series (the first covered fundamentals and basics), seeks to make its material accessible to physics students. Physics/engineering can be greatly enhanced by knowledge of advanced mathematical techniques, but the math-specific jargon and laborious proofs can be off-putting to students not well versed in abstract math. This book uses examples and proofs designed to be clear and convincing from the context of physics, as well as providing a large number of both solved and unsolved problems in each chapter. This is the second edition, and it has been significantly revised and enlarged, with Chapters 1 (on linear algebra) and 2 (on the calculus of complex numbers and functions) having been particularly expanded. The enhanced topics throughout the book include: vector spaces, general (non-Hermitian, including normal and defective) matrices and their right/left eigenvectors/values, Jordan form, pseudoinverse, linearsystems of differential equations, Gaussian elimination, fundamental theorem of algebra, convergence of a Fourie series and Gibbs-Wilbraham phenomenon, careful derivation of the Fourier integral and of the inverse Laplace transform. New material has been added on many physics topics meant to illustrate the maths, such as 3D rotation, properties of the free electron gas, van Hove singularities, and methods for both solving PDEs with a Fourier transform and calculating the width of a domain wall in a ferromagnet, to mention just a few. 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 Free Download Mathematics for Enzyme Reaction Kinetics and Reactor Performance, 2 Volume Set (Enzyme Reaction Engineering) by F. Xavier Malcata English | June 15, 2020 | ISBN: 1119490286 | 1072 pages | MOBI | 51 Mb Mathematics for Enzyme Reaction Kinetics and Reactor Performance is the first set in a unique 11 volume-collection on Enzyme Reactor Engineering. This two volume-set relates specifically to the wide mathematical background required for systematic and rational simulation of both reaction kinetics and reactor performance; and to fully understand and capitalize on the modelling concepts developed. It accordingly reviews basic and useful concepts of Algebra (first volume), and Calculus and Statistics (second volume). A brief overview of such native algebraic entities as scalars, vectors, matrices and determinants constitutes the starting point of the first volume; the major features of germane functions are then addressed. Vector operations ensue, followed by calculation of determinants. Finally, exact methods for solution of selected algebraic equations - including sets of linear equations, are considered, as well as numerical methods for utilization at large.  Free Download Mathematics for Circuits and Filters English | 2022 | ISBN: 0849300525 | 274 Pages | EPUB | 10 MB Every engineering professional needs a practical, convenient mathematics resource, without extensive theory and proofs. Mathematics for Circuits and Filters stresses the fundamental theory behind professional applications, making an excellent, flexible resource that enables easy access to the information needed to deal with circuits and filters.  Free Download Thomasenia Lott Adams, "Making Sense of Mathematics for Teaching Girls in Grades K-5 " English | ISBN: 1945349786 | 2019 | 120 pages | EPUB | 3 MB Close the gender gap in mathematics across K-5 classrooms. In Making Sense of Mathematics for Teaching Girls in Grades K-5, a team of acclaimed experts presents their research and recommendations for teaching math to girls in four succinct, results-focused chapters. Included are a variety of tools, tips, short exercises, and reflection questions, as well as videos demonstrating how real classroom teachers strengthen girls' experiences as learners of mathematics.  Free Download Making Democracy Count: How Mathematics Improves Voting, Electoral Maps, and Representation by Ismar Volić English | April 2nd, 2024 | ISBN: 069124880X | 409 pages | True PDF | 9.71 MB How we can repair our democracy by rebuilding the mechanisms that power it  Free Download Steven Roman, "Introduction to the Mathematics of Finance: Arbitrage and Option Pricing" English | 2012 | pages: 304 | ISBN: 1461435811, 1489985999 | PDF | 2,7 mb The Mathematics of Finance has been a hot topic ever since the discovery of the Black-Scholes option pricing formulas in 1973. Unfortunately, there are very few undergraduate textbooks in this area. This book is specifically written for advanced undergraduate or beginning graduate students in mathematics, finance or economics. This book concentrates on discrete derivative pricing models, culminating in a careful and complete derivation of the Black-Scholes option pricing formulas as a limiting case of the Cox-Ross-Rubinstein discrete model. |
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