Tag: Mathematics

Free Download Graphs & Digraphs: Seventh Edition
by Gary Chartrand
English | 2024 | ISBN: 1032133406 | 365 pages | True PDF | 17.78 MB

Free Download Peter G. Chareton, "Computational Mathematics: Theory, Methods and Applications "
English | ISBN: 1608762718 | 2011 | 443 pages | PDF | 10 MB
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Free Download Mathematics as the Science of Patterns: Making the Invisible Visible to Students Through Teaching by Patrick M. Jenlink
English | February 1, 2022 | ISBN: 164802744X | 266 pages | MOBI | 2.60 Mb
Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics teachers. Each chapter focuses on mathematics teaching and the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep-seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Po lya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers’ patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students’ learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov’s Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.

Free Download Mathematics & AI: A Beginner’s Guide to the Math behind Transformers
by Suzacque
English | December 14, 2024 | ASIN: B0DQHVXXGB | 114 pages | PDF | 30 Mb

Free Download Mathematics of Engineering and Science: Practice Problems, Methods, and Solutions
English | 2025 | ISBN: 3031719336 | 228 Pages | PDF EPUB (True) | 21 MB
This study guide is designed for students taking courses in engineering mathematics and mathematical methods in science. The textbook includes problems with detailed solutions to teach students the subjects in detail and partially and fully solved exercises with hints to required formulas and answers, enabling students to practice independently and guiding them through problem-solving procedures. The material covered in the book includes complex functions, complex transformations, singularities of complex functions, complex series, Taylor and Laurent series expansions, residue, complex integration, Fourier series, half-domain Fourier sine and cosine series, complex Fourier series, Fourier integral, complex Fourier integral, Fourier transform, half-domain Fourier sine and cosine transform, and partial differential equations.

Free Download Mathematics of Computer Science, Cybersecurity and Artificial Intelligence
English | 2024 | ISBN: 3031662210 | 268 Pages | PDF EPUB (True) | 24 MB
This proceedings book gathers selected, peer-reviewed papers presented at the Fifth Scientific Days of the Doctoral School of Mathematics and Computer Sciences – S2DSMCS, held from December 20-22, 2023, at Cheikh Anta Diop University in Dakar, Senegal. The cutting-edge works cover timely topics in cryptography, cybersecurity, and artificial intelligence, with applications extending to fields such as telecommunications and smart networks. This collection showcases research activities developed by a new generation of mathematicians and computer scientists from Africa, Europe, Asia, and America.

Free Download Mathematics For Engineers – Volume 2:
Integral Calculus, Taylor And Fourier Series, Calculus For Multivariable Functions,
1st Order Differential Equations, Laplace Transform

Free Download Augmented and Virtual Reality in Mathematics Education
English | 2024 | ISBN: 3658452706 | 169 Pages | PDF EPUB (True) | 35 MB
Augmented and virtual reality (AR/VR) are technologies of increasing importance in our society. In the field of mathematics education, these innovative technologies may offer a wide range of opportunities to support immersive, individual, and active learning processes. At the same time, many new challenges arise that need to be mastered by teachers and students in the classroom. With this book we want to contribute to the discourse by presenting innovative insights by bringing parties from research and practice together. The papers cover a wide range of relevant topics including cooperation and communication, STEM and modelling, development and application of design criteria, spatial geometry and imagination or teacher-trainings. The contributions include in-depth theoretical considerations, concrete developed applications and learning environments, and findings from empirical studies.

Free Download Mathematics and Computation in Music: 4th International Conference, MCM 2013, Montreal, QC, Canada, June 12-14, 2013. Proceedings By Emmanuel Amiot (auth.), Jason Yust, Jonathan Wild, John Ashley Burgoyne (eds.)
2013 | 241 Pages | ISBN: 364239356X | PDF | 15 MB
This book constitutes the thoroughly refereed proceedings of the Fourth International Conference on Mathematics and Computation in Music, MCM 2013, held in Montreal, Canada, in June 2013. The 18 papers presented were carefully reviewed and selected from numerous submissions. They are promoting the collaboration and exchange of ideas among researchers in music theory, mathematics, computer science, musicology, cognition and other related fields.

Free Download Richard C Brown, "ARE SCIENCE AND MATHEMATICS SOCIALLY CONSTRUCTED? A MATHEMATICIAN ENCOUNTERS POSTMODERN INTERPRETATIONS OF SCIENCE"
English | ISBN: 9812835245 | 2009 | 317 pages | PDF | 2 MB
This book is a history, analysis, and criticism of what the author calls "postmodern interpretations of science" (PIS) and the closely related "sociology of scientific knowledge" (SSK). This movement traces its origin to Thomas Kuhn’s revolutionary work, The Structure of Scientific Revolutions (1962), but is more extreme. It believes that science is a "social construction", having little to do with nature, and is determined by contextual forces such as the race, class, gender of the scientist, laboratory politics, or the needs of the military industrial complex. Since the 1970s, PIS has become fashionable in humanities and ethnic or women’s studies, as well as in the new academic field of science, technology, and society. It has been attacked by numerous authors and the resulting conflicts led to the so-called Science Wars of the 1990s. While the present book is also critical of PIS, it focuses on its intellectual and political origins and tries to understand why it became influential in the 1970s. The book is both an intellectual and a political history. It examines the thoughts of Karl Popper, Karl Mannheim, Ludwik Fleck, Thomas Kuhn, Paul Feyerabend, David Bloor, Steve Shapin, Bruno Latour, and PIS-like doctrines in mathematics. It also describes various philosophical contributions to PIS ranging from the Greek sophists to 20th century post-structuralists and argues that the disturbed political atmosphere of the Vietnam War era was critical to the rise of PIS.