The Theory of the Imaginary in Geometry

The Theory of the Imaginary in Geometry
Author: John Leigh Smeathman Hatton
Publisher: Cambridge University Press
Total Pages: 232
Release: 2010-09-02
Genre: Mathematics
ISBN: 1108013104

This 1920 publication explores the relationship between real and imaginary non-Euclidean geometry through graphical representations of imaginary geometry.

Nature

Nature
Author: Sir Norman Lockyer
Publisher:
Total Pages: 984
Release: 1920
Genre: Electronic journals
ISBN:

A Participatory Approach To Modern Geometry

A Participatory Approach To Modern Geometry
Author: Jay Kappraff
Publisher: World Scientific Publishing Company
Total Pages: 273
Release: 2014-08-25
Genre: Mathematics
ISBN: 9814556726

This book aims to make the subject of geometry and its applications easy and comfortable to understand by students majoring in mathematics or the liberal arts, architecture and design. It can be used to teach students at different levels of computational ability and there is also sufficient novel material to interest students at a higher cognitive level. While the book goes deeply into the applications of geometry, it contains much introductory material which up to now may not have been known to the student. The constructive approach using compass and straightedge engages students, not just on an intellectual level, but also at a tactile level. This may be the only rigorous book offering geometry that attempts to engage students outside of the mathematics discipline.

Teachers' Everyday Use of Imagination and Intuition

Teachers' Everyday Use of Imagination and Intuition
Author: Virginia M. Jagla
Publisher: State University of New York Press
Total Pages: 230
Release: 1994-09-15
Genre: Education
ISBN: 1438407742

This book offers a provocative look at the significant roles that imagination and intuition play in the daily operation of teachers' classrooms. The author explores the idea of creativity in education as it relates to being spontaneous, open, confident, experienced, and familiar. Readers are invited to envision how the classroom comes alive by pondering the themes of "Interaction," "Connections and Context," "Storytelling" and "Emotion—Excitement, Love, and Caring" through the stories of teachers. Jagla explores ways of fostering imagination and intuition with preservice and inservice teachers and provides ways of encouraging students to use their own imaginations and intuitive processes. The book provides an exciting mix of original anecdotes, literature review, and insightful analysis.

Geometric Integration Theory

Geometric Integration Theory
Author: Steven G. Krantz
Publisher: Springer Science & Business Media
Total Pages: 344
Release: 2008-12-15
Genre: Mathematics
ISBN: 0817646795

This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.

Euclid's Elements

Euclid's Elements
Author: Euclid
Publisher:
Total Pages: 544
Release: 2002
Genre: Mathematics
ISBN:

"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Exploring the Infinite Possibilities

Exploring the Infinite Possibilities
Author: Barrett Williams
Publisher: Barrett Williams
Total Pages: 113
Release: 2024-10-24
Genre: Mathematics
ISBN:

**Exploring the Infinite Possibilities Unlock the Mysteries of Mathematics** Dive into a world where numbers weave patterns of breathtaking beauty and equations reveal the secrets of the universe. "Exploring the Infinite Possibilities" is a captivating journey through the landscape of mathematics, offering a fresh and insightful perspective on a subject often shrouded in mystery and complexity. Begin your exploration with the aesthetic allure of mathematics, where the harmony of numbers and the elegance of patterns and symmetry spark a sense of wonder. Venture into the rich history of mathematical thought, tracing its evolution from ancient civilizations, through the intellectual fervor of the Renaissance, to the innovations that define modern mathematics today. Discover the boundless nature of infinity, uncover the mysteries of fractals and chaos theory, and delve into the intriguing realm of transfinite numbers. Wander through the natural world, where the Fibonacci sequence and the Golden Ratio manifest in mesmerizing forms and patterns, and explore the symmetrical beauty inherent in biological structures. Unravel the intricacies of mathematical proofs, from historical breakthroughs to contemporary challenges that drive mathematical discovery. Appreciate mathematics as a universal language, bridging the gap between the abstract and the tangible, and see its unifying power in science. From the elegance of Euclidean geometry to the peculiarities of non-Euclidean spaces, geometric concepts open the door to endless possibilities. Explore the hidden symmetries in abstract algebra, the enigmatic nature of prime numbers, and the profound impacts of calculus—the mathematics of change. Venture into the realms of mathematical analysis, probability, and statistics, uncovering the profound insights these fields offer into our world. Engage with the foundations of mathematical logic and embark on a journey through the digital age, where algorithms and machine learning reshape our lives. "Exploring the Infinite Possibilities" is not just a book—it's an inspiring odyssey into a vibrant mathematical universe. Whether you're a curious enthusiast or a seasoned mathematician, this book invites you to continue the great journey of mathematical exploration, inspiring future generations and highlighting the global impact of mathematics.

The Grapes of Math

The Grapes of Math
Author: Alex Bellos
Publisher: Simon and Schuster
Total Pages: 352
Release: 2014-06-10
Genre: Mathematics
ISBN: 1451640129

From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

Projective Geometry

Projective Geometry
Author: Lawrence Edwards
Publisher:
Total Pages: 354
Release: 2003
Genre: Education
ISBN:

A clear and artistic understanding of the qualities of projective geometry. Useful for high school Steiner-Waldorf teachers.