Download or read book The Mathematical Expanse written by Jason Vanbilliard and published by CreateSpace. This book was released on 2014-08-15 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transforms your perspective of mathematics!Extend your understanding of geometric topics by investigating dimensions, fractals, topological equivalence, and other geometries. Develop your reasoning skills through identifying deception in statistics, discriminating between cause and correlation, evaluating various voting methods, and exploring chaos theory. Refine your understanding of numbers and systems through studying prime, figurate, vampire, narcissistic, powerful, abundant, and transcendental numbers.[**Note: there are two versions of this book. Read below for more details.]After studying each mathematical topic, we will consider how the topic informs our answers to questions like: Who are we? What is the nature of reality? How do we know if something is true? What is good? What is beautiful? These questions and their related sub-questions have been part of the human experience from the dawn of human history. Considering how mathematics helps to inform these questions provides for a deeper, more meaningful understanding of mathematics. This book is ideal for:- Anyone interested in extending his or her own understanding of the scope and depth of mathematics- An undergraduate “Mathematics for Liberal Arts” course- A half-year high school senior mathematics elective for studentsEach section features:- Introductory exercises that prompt the reader to recall relevant information or skills- Concept development sections that explain the mathematics for even the math-phobic student- Content sections that connect the mathematics to literature, art, music, science, and other subjects- A “Something to Consider” section that asks the reader to think about related enduring questions- “Covering the Reading” questions that help to process the text- “Problems” that require the reader to research and consider the topic more thoroughly[**You may wish to consider the parallel book titled "Mathematical Explorations for the Christian Thinker." That book addresses the same enduring questions in mathematics but from an explicitly Christian perspective]
Download or read book Mathematics for Machine Learning written by Marc Peter Deisenroth and published by Cambridge University Press. This book was released on 2020-04-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
Download or read book Mathematical Excursions to the World s Great Buildings written by Alexander J. Hahn and published by Princeton University Press. This book was released on 2012-07-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How mathematics helped build the world's most important buildings from early Egypt to the present From the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure. Whether using trigonometry and vectors to explain why Gothic arches are structurally superior to Roman arches, or showing how simple ruler and compass constructions can produce sophisticated architectural details, Alexander Hahn describes the points at which elementary mathematics and architecture intersect. Beginning in prehistoric times, Hahn proceeds to guide readers through the Greek, Roman, Islamic, Romanesque, Gothic, Renaissance, and modern styles. He explores the unique features of the Pantheon, the Hagia Sophia, the Great Mosque of Cordoba, the Duomo in Florence, Palladio's villas, and Saint Peter's Basilica, as well as the U.S. Capitol Building. Hahn celebrates the forms and structures of architecture made possible by mathematical achievements from Greek geometry, the Hindu-Arabic number system, two- and three-dimensional coordinate geometry, and calculus. Along the way, Hahn introduces groundbreaking architects, including Brunelleschi, Alberti, da Vinci, Bramante, Michelangelo, della Porta, Wren, Gaudí, Saarinen, Utzon, and Gehry. Rich in detail, this book takes readers on an expedition around the globe, providing a deeper understanding of the mathematical forces at play in the world's most elegant buildings.
Download or read book The Math You Need written by Thomas Mack and published by MIT Press. This book was released on 2023-10-31 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive survey of undergraduate mathematics, compressing four years of study into one robust overview. In The Math You Need, Thomas Mack provides a singular, comprehensive survey of undergraduate mathematics, compressing four years of math curricula into one volume. Without sacrificing rigor, this book provides a go-to resource for the essentials that any academic or professional needs. Each chapter is followed by numerous exercises to provide the reader an opportunity to practice what they learned. The Math You Need is distinguished in its use of the Bourbaki style—the gold standard for concision and an approach that mathematicians will find of particular interest. As ambitious as it is compact, this text embraces mathematical abstraction throughout, avoiding ad hoc computations in favor of general results. Covering nine areas—group theory, commutative algebra, linear algebra, topology, real analysis, complex analysis, number theory, probability, and statistics—this thorough and highly effective overview of the undergraduate curriculum will prove to be invaluable to students and instructors alike.
Download or read book God and the Mathematics of Infinity written by H Chris Ransford and published by BoD – Books on Demand. This book was released on 2017-03-30 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on incontrovertible results from the science and mathematics of Infinity, H. Chris Ransford analyzes the traditional concept of Godhood and reaches astonishing conclusions. He addresses humankind's abiding core debate on the meaning of spirituality and God. Using mathematics to explore key questions within this debate, the author is led to counter-intuitive conclusions, including some that had long baffled humanity: For instance, why does evil exist if there is a God? The book fastidiously does not take sides nor proffers opinions, it only follows allowable mathematics wherever it leads. By doing so, it makes a major contribution to an understanding of the nature of reality.
Download or read book The Mathematics Playbook written by John Almarode and published by Corwin Press. This book was released on 2024-03-05 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your Guide to Engaging and Effective Math Instruction With the latest research on what works best in teaching and learning, The Mathematics Playbook is your comprehensive guide to enhancing mathematics teaching and learning. With a focus on fostering equity and maximizing student learning, the authors provide practical modules that integrate the latest research on effective teaching practices, and answer four critical questions: How do we foster, nurture, and sustain mathematics learning? How do we ensure all learners have equity of access and opportunity? What are the non-negotiables in a high-quality mathematics task? How do we know if learners really "get it"? Through real-life examples and an emphasis on self-assessment and reflection, this playbook empowers you to create engaging and impactful learning experiences in mathematics.
Download or read book Chronergy Nexus written by Aditya Singh and published by Aditya Singh. This book was released on 2023-08-13 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the vast expanse of cosmic exploration, a profound reimagining of the universe's origins and evolution beckons our intellectual curiosity. Within these pages unfolds a quest that transcends conventional boundaries, delving into the intricate interplay of time and energy that influences the very essence of existence. Anchored in Einstein's groundbreaking theory of relativity, this journey reveals a tapestry of revelations woven by the symphonic dynamics of fundamental forces. Central to this exploration is "The Trifold Temporal Paradigm," intricately weaving Forward Time, Backward Time, and Cyclic Time into a symphony of distinct patterns. Beyond theoretical discourse, this expedition illuminates the enigmatic genesis of the universe, its complex evolution, and the harmonious rhythm that echoes throughout cosmic epochs.
Download or read book Mathematical Learning and Understanding in Education written by Kristie Newton and published by Routledge. This book was released on 2018-05-16 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics holds an essential, ubiquitous presence in the education sector, as do ongoing explorations of its effective teaching and learning. Written by leading experts on mathematics and mathematics education, this book situates issues of student thinking and learning about mathematics within the broader context of educational psychology research and theory and brings them to a wider audience. With chapters on knowing and understanding mathematics, mathematical habits, early mathematical thinking, and learning mathematics, this concise volume is designed for any educational psychology, mathematics education, or general education course that includes student learning in the curriculum. It will be indispensable for student researchers and both pre- and in-service teachers alike.
Download or read book Great Feuds in Mathematics written by Hal Hellman and published by Turner Publishing Company. This book was released on 2010-12-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for Hal Hellman Great Feuds in Mathematics "Those who think that mathematicians are cold, mechanical proving machines will do well to read Hellman's book on conflicts in mathematics. The main characters are as excitable and touchy as the next man. But Hellman's stories also show how scientific fights bring out sharper formulations and better arguments." -Professor Dirk van Dalen, Philosophy Department, Utrecht University Great Feuds in Technology "There's nothing like a good feud to grab your attention. And when it comes to describing the battle, Hal Hellman is a master." -New Scientist Great Feuds in Science "Unusual insight into the development of science . . . I was excited by this book and enthusiastically recommend it to general as well as scientific audiences." -American Scientist "Hellman has assembled a series of entertaining tales . . . many fine examples of heady invective without parallel in our time." -Nature Great Feuds in Medicine "This engaging book documents [the] reactions in ten of the most heated controversies and rivalries in medical history. . . . The disputes detailed are . . . fascinating. . . . It is delicious stuff here." -The New York Times "Stimulating." -Journal of the American Medical Association
Download or read book The Big Split Alternative to the Big Ban Einstein demystified written by Lomer Pilote and published by Les Editions du Net. This book was released on 2014-07-21T00:00:00Z with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author describes the framework of his universal subject residing in the spiritual dimension inhabited by Freud’s two unconsciouses and three of his own. He constructs a scientific theory of the global cosmos that reveals the connection between the terrestrial subject and the creator of the universe and it’s two infinities.
Download or read book The Mathematical Imagination written by Matthew Handelman and published by Fordham Univ Press. This book was released on 2019-03-05 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present.
Download or read book Thinking Deeply About Primary Mathematics written by Kieran Mackle and published by John Catt. This book was released on 2020-09-07 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Deeply about Primary Mathematics is a comprehensive exploration of the ideas, theories and practices of most value to beginning teachers, as well as any teacher with the desire to improve their practice. Immediately applicable in the classroom and supported by robust analysis of research into mathematics teaching, this book is designed to provide inspiration for specialised teaching assignments with the power to enhance both the rate and quality of your professional development journey. Through the use of expertly crafted explanations, examples and tasks, each chapter will guide you step by step through the otherwise intimidating world of primary mathematics teaching. This book is perfect for teachers driven to become highly effective practitioners. It also serves as a blueprint for school leaders looking to develop the abilities of their teachers and ensure the highest quality mathematics education for all children. Teacher proficiency is a vast uneven continuum but in taking time to think deeply about primary mathematics we allow ourselves with the opportunity to build a solid base from which a successful, fulfilling career can be constructed. The insight and expertise provided by Thinking Deeply About Primary Mathematics is essential for anyone involved in the teaching of mathematics.
Download or read book Mathematical Explorations for the Christian Thinker written by Jason Vanbilliard and published by CreateSpace. This book was released on 2014-08-15 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to learn math from a Christian perspective? This book is ideally suited for a Christian audience who wishes to significantly extend his or her knowledge of mathematics while developing biblical perspectives on the mathematical-philosophical questions posed in each section. Among other compelling issues, readers will wrestle with questions as to the relationships between God, nature, mathematics, and humans. The integration of Christian thought is weaved throughout the text.[**Note: there are two versions of this book. Read below for more details.]Through the mathematics content presented in this book, you will broaden your understanding of geometry by investigating dimensions, fractals, topological equivalence, and other geometries. You will develop your reasoning skills through identifying deception in statistics, discriminating between cause and correlation, evaluating various voting methods, and exploring chaos theory. Finally, you will refine your understanding of numbers and systems through studying prime, figurate, vampire, narcissistic, powerful, abundant, and transcendental numbers.After studying each mathematical topic, you will consider how the topic informs your answers to questions like: Who are we? What is the nature of reality? How do we know if something is true? What is good? What is beautiful? These questions and their related sub-questions have been part of the human experience from the dawn of human history. Considering how mathematics helps to inform these questions provides for a deeper, more meaningful understanding of mathematics and our world.This book is ideal for:- An undergraduate “Mathematics for Liberal Arts” course at a Christian college- A half-year senior mathematics elective as part of a focus on worldview at a Christian high school - A Christian homeschool family that wishes to extend their children's learning beyond the standard curriculum in a Christian centered context- Anyone interested in extending his or her own understanding of the scope and depth of mathematicsEach section features:- Introductory exercises that prompt the reader to recall relevant information or skills- Concept development sections that explain the mathematics for even the math-phobic student- Content sections that connect the mathematics to literature, art, music, science, and other subjects- A “Something to Consider” section that asks the reader to think about related enduring questions from a Christian perspective- “Covering the Reading” questions that help to process the text- “Problems” that require the reader to research and consider the topic more thoroughly[** There is another version of this book titled "The Mathematical Expanse: Excursions into the Enduring Questions." That version asks many similar questions but is appropriate for a public school setting.]
Download or read book The Language of Mathematics Education written by Shannon W. Dingman and published by BRILL. This book was released on 2019-08-26 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Language of Mathematics Education: An Expanded Glossary of Key Terms and Concepts in Mathematics Teaching and Learning offers mathematics teachers, mathematics education professionals and students a valuable resource in which common terms are defined and expounded upon in short essay format. The shared vocabulary and terminology relating to mathematics teaching and learning, and used by mathematics educators is an essential component of work conducted in the field. The authors provide an overview of more than 100 terms commonly used in mathematics teaching and learning. Each term is defined and is followed by a short overview of the concept under discussion that includes several bibliographic references the reader can use for further investigation. In addition to terms specific to the domain of mathematics education, select key terms common across all fields of education (e.g., curriculum, epistemology, metacognition) are included. The goal for this book is to serve as a resource for those entering the field as they navigate the language and terminology of mathematics education and as an asset for more established professionals who wish to gain additional insights into these ideas.
Download or read book Cross Cultural Approaches to Consciousness written by Itay Shani and published by Bloomsbury Publishing. This book was released on 2022-12-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uniting analytic philosophy with Buddhist, Indian, and Chinese traditions, this collection marks the first systematic cross-cultural examination of one of philosophy of mind's most fascinating questions: can consciousness be conceived as metaphysically fundamental? Engaging in debates concerning consciousness and ultimate reality, emergence and mental causation, realism, idealism, panpsychism, and illusionism, it understands problems through the philosophies of East and South-East Asia, in particular Buddhism and Vedanta. Each section focuses on a specific aspect or theory of consciousness, and examines a particular subject from different disciplinary perspectives including philosophy, psychology, and cognitive science. These different angles allows readers to gain insight into the intellectual challenges and problems of the study of consciousness and its place in the thought traditions of both Eastern and Western philosophy. Raising new questions, it provides a more global and holistic understanding of consciousness, presenting a stimulating and original contribution to contemporary consciousness studies and the metaphysics of mind.
Download or read book The Logic of Infinity written by Barnaby Sheppard and published by Cambridge University Press. This book was released on 2014-07-24 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book conveys to the novice the big ideas in the rigorous mathematical theory of infinite sets.
Download or read book Physical Laws of the Mathematical Universe Who Are We written by Neeti Sinha and published by Archway Publishing. This book was released on 2015-10-13 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical Laws of the Mathematical Universe: Who Are We? sets off from the first page on an arduous and ambitious journey to define and describe a comprehensive depiction of reality that embraces the rigors of physics, the elegance of mathematics, and the intricacies of human perception. Neeti Sinha brings to bear her extensive education and research as she pursues an explanation that unites these often disparate disciplines in service of a nuanced description of the wonders of the whole universe. In the course of its exploration of this topic, Physical Laws of the Mathematical Universe: Who Are We? unites insights from the fields of mathematics and physics in light of human perception to explain the contours of the universe and the origins of its parallel forms. The work also demonstrates how major scientific conundrums find their resolution when one adopts a holistic perspective. Finally, the author uncovers the profound foundations of human appreciation for truth and beauty in the aesthetics that bind together physics and mathematics. If you look at your life and the world and wonder about their true nature, then Physical Laws of the Mathematical Universe: Who Are We? will accompany you on a journey that may test the limits of your understandings of the universe while opening to your gaze vistas you previously had not imagined.
