Relevant bibliographies by topics / Geometric understanding / Books
To see the other types of publications on this topic, follow the link: Geometric understanding.

Books on the topic 'Geometric understanding'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 44 books for your research on the topic 'Geometric understanding.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse books on a wide variety of disciplines and organise your bibliography correctly.

1

Understanding geometric algebra for electromagnetic theory. Hoboken, N.J: Wiley-IEEE Press, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Arthur, John W. Understanding Geometric Algebra for Electromagnetic Theory. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2011. http://dx.doi.org/10.1002/9781118078549.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Understanding geometric algebra: Hamilton, Grassmann, and Clifford for computer vision and graphics. Boca Raton: CRC Press, 2015.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Geometry: Seeing, doing, understanding. 3rd ed. New York: W.H. Freeman and Co., 2003.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Goodman, Arthur. Understanding elementary algebra with geometry. Minneapolis/St. Paul: West Pub. Co., 1994.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Klüver, Jürgen. Social Understanding: On Hermeneutics, Geometrical Models and Artificial Intelligence. Dordrecht: Springer Science+Business Media B.V., 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Lewis, Hirsch, and Goodman Arthur, eds. Understanding elementary algebra with geometry: A course for college students. 4th ed. Pacific Grove, CA: Brooks/Cole Pub. Co., 1998.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Arthur, Goodman, ed. Understanding elementary algebra with geometry: A course for college students. 6th ed. Belmont, CA: Thomson Brooks/Cole, 2006.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Hirsch, Lewis. Understanding elementary algebra with geometry: A course for college students. 5th ed. Pacific Grove, CA: Brooks/Cole, 2002.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Stevens, Roger T. Understanding self-similar fractals: A graphical guide to the curves of nature. Lawrence, Kan: R&D Technical Books, 1995.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
11

David, Pimm, and Skelin Melanie, eds. Developing essential understanding of geometry for teaching mathematics in grades 9-12. Reston, VA: National Council of Teachers of Mathematics, 2012.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
12

David, Pimm, and Skelin Melanie, eds. Developing essential understanding of geometry for teaching mathematics in grades 6-8. Reston, VA: National Council of Teachers of Mathematics, 2012.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
13

author, Clements Douglas H., and Dougherty Barbara J. author, eds. Developing essential understanding of geometry and measurement for teaching mathematics in prekindergarten-grade 2. Reston, VA: The National Council of Teachers of Mathematics, Inc., 2014.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
14

Lehrer, Richard. Developing essential understanding of geometry and measurement for teaching mathematics in grades 3-5. Edited by Slovin Hannah, Dougherty Barbara J, and Zbiek Rose Mary 1961-. Reston, VA: NCTM, National Council of Teachers of Mathematics, Inc., 2014.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
15

Arthur, John W. Understanding Geometric Algebra for Electromagnetic Theory. Wiley & Sons, Incorporated, John, 2012.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
16

Arthur, John W. Understanding Geometric Algebra for Electromagnetic Theory. Wiley & Sons, Incorporated, John, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
17

Arthur, John W. Understanding Geometric Algebra for Electromagnetic Theory. Wiley & Sons, Incorporated, John, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
18

Jacobs, Harold R. Geometry: Seeing, Doing, Understanding. 3rd ed. W. H. Freeman, 2003.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
19

Geometry: Seeing, Doing, Understanding. W. H. Freeman, 2004.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
20

Caramello, Olivia. Topos-theoretic background. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198758914.003.0003.

Full text
Abstract:
This chapter provides the topos-theoretic background necessary for understanding the contents of the book; the presentation is self-contained and only assumes a basic familiarity with the language of category theory. The chapter begins by reviewing the basic theory of Grothendieck toposes, including the fundamental equivalence between geometric morphisms and flat functors. Then it presents the notion of first-order theory and the various deductive systems for fragments of first-order logic that will be considered in the course of the book, notably including that of geometric logic. Further, it discusses categorical semantics, i.e. the interpretation of first-order theories in categories possessing ‘enough’ structure. Lastly, the key concept of syntactic category of a first-order theory is reviewed; this notion will be used in Chapter 2 for constructing classifying toposes of geometric theories.
APA, Harvard, Vancouver, ISO, and other styles
21

Understanding Angles With Basketball. Real World Math, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
22

Wittman, David M. The Elements of Relativity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.001.0001.

Full text
Abstract:
Relativity is a set of remarkable insights into the way space and time work. The basic notion of relativity, first articulated by Galileo, explains why we do not feel Earth moving as it orbits the Sun and was successful for hundreds of years. We present thinking tools that elucidate Galilean relativity and prepare us for the more modern understanding. We then show how Galilean relativity breaks down at speeds near the speed of light, and follow Einstein’s steps in working out the unexpected relationships between space and time that we now call special relativity. These relationships give rise to time dilation, length contraction, and the twin “paradox” which we explain in detail. Throughout, we emphasize how these effects are tightly interwoven logically and graphically. Our graphical understanding leads to viewing space and time as a unified entity called spacetime whose geometry differs from that of space alone, giving rise to these remarkable effects. The same geometry gives rise to the energy?momentum relation that yields the famous equation E = mc2, which we explore in detail. We then show that this geometric model can explain gravity better than traditional models of the “force” of gravity. This gives rise to general relativity, which unites relativity and gravity in a coherent whole that spawns new insights into the dynamic nature of spacetime. We examine experimental tests and startling predictions of general relativity, from everyday applications (GPS) to exotic phenomena such as gravitomagnetism, gravitational waves, Big Bang cosmology, and especially black holes.
APA, Harvard, Vancouver, ISO, and other styles
23

Timothy, Craine, and National Council of Teachers of Mathematics., eds. Understanding geometry for a changing world. Reston, VA: National Council of Teachers of Mathematics, 2009.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
24

Yust, Jason. Harmony Simplified. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190696481.003.0011.

Full text
Abstract:
The syntactic norms of common practice harmony are well known, but we lack good explanations for them. A theory of convergence is offered to explain how dominant and predominant harmonic functions work in tonal music. A geometric Tonnetz and concepts of triadic orbits and simple triadic voice leading are then developed to distinguish different types of harmonic progression, neighbouring, sequential, and cadential, with distinct formal functions. The concepts of triadic convergence and triadic cycles are then generalized to the diatonic dimension of the Tonnetz, leading to analogous concepts of enharmonic convergence and enharmonic tour useful for understanding nineteenth-century harmonic techniques.
APA, Harvard, Vancouver, ISO, and other styles
25

Stevens, Roger T. Understanding self-similar fractals: Practical guide to thecurves of nature. Prentice-Hall, 1995.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
26

Lattman, Eaton E., Thomas D. Grant, and Edward H. Snell. Theoretical Background. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199670871.003.0002.

Full text
Abstract:
This chapter describes the basic background for small angle scattering starting with a simple description of the experiment and geometric theory of scattering. It describes the nature of the data produced and the information contained within that data and how relationship between real and reciprocal space in the context of solution scattering. The concept of spherical averaging is described along with its implications and effects on the available structural information from experiment. The chapter describes important fundamental concepts in solution scattering such as the pair distribution function, contrast, and resolution and information content. The chapter is presented so as to promote an intuitive understanding of the theoretical foundations of solution scattering, rather than a rigorous treatment of them.
APA, Harvard, Vancouver, ISO, and other styles
27

Richard, Lehrer, and Chazan Daniel, eds. Designing learning environments for developing understanding of geometry and space. Mahwah, N.J: Lawrence Erlbaum, 1998.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
28

Andersson, Nils. Gravitational-Wave Astronomy. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198568032.001.0001.

Full text
Abstract:
This book provides an introduction to gravitational-wave astronomy and a survey of the physics required to understand recent breakthrough discoveries and the potential of future experiments. The material is aimed at advanced undergraduates or postgraduate students. It works as an introduction to the relevant issues and brings the reader to the level where it connects with current research. The book provides interested astronomers with an understanding of this new window to the Universe, including a relatively self-contained summary of Einstein’s geometric theory of gravity. It introduces gravitational-wave data analysts to the range of physics issues that impact on the modelling of different sources. The material also connects with fundamental physics, which is natural since gravitational-wave signals from neutron stars may help constrain our understanding of matter at extreme densities, helping nuclear and particle physicists appreciate how their models fit into the bigger picture.
APA, Harvard, Vancouver, ISO, and other styles
29

Simpson, Stephen J., Carlos Ribeiro, and Daniel González-Tokman. Feeding behavior. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797500.003.0008.

Full text
Abstract:
Insects need to ingest nutrients at appropriate levels to attain a balanced diet and maximize fitness. They do so by integrated responses that involve physiological mechanisms for sensing current nutritional needs, releasing systemic signals, and producing specific appetites for key required nutrients. Historically, the study of insect feeding behavior was appreciated for its importance in the understanding and control of crop pests and disease vectors. However, current evidence has shown that some mechanisms regulating feeding are highly conserved in animals, from insects to humans, bringing additional interest in insects as models in medicine. The study of insect feeding behavior and nutrition has also given rise to an integrative modelling approach called the geometric framework for nutrition. This approach has proven useful beyond the insects, and allows the understanding of the impact of multiple nutrients on individuals and their interactions in populations, communities, and ecosystems.
APA, Harvard, Vancouver, ISO, and other styles
30

Psycho-geometrics: The Science Of Understanding People, And The Art Of Communicating With Them. Careertrack, 1997.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
31

Goodman, Arthur, and Lewis Hirsch. Understanding Elementary Algebra with Geometry with CD: A Course for College Students. 5th ed. Brooks/Cole Publishing Company, 2001.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
32

Hirsch, Lewis R., and Arthur Goodman. Understanding Elementary Algebra with Geometry: A Course for College Students (6th Edition w/CD-ROM). 6th ed. Brooks Cole, 2005.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
33

Corfield, David. Reviving the Philosophy of Geometry. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198748991.003.0002.

Full text
Abstract:
In the Anglophone world, the philosophical treatment of geometry has fallen on hard times. This chapter argues that philosophy can come to a better understanding of mathematics by providing an account of modern geometry, including its development of new forms of space, both for mathematical physics and for arithmetic. It returns to the discussions of Weyl and Cassirer on geometry whose concerns are very much relevant today. A way of encompassing a great part of modern geometry via homotopy toposes is discussed, along with the `cohesive’ variant of their internal language, known as `homotopy type theory’. With these tools in place, we can now start to see what an adequate philosophical account of current geometry might look like.
APA, Harvard, Vancouver, ISO, and other styles
34

Sorrentino, Alfonso. Action-minimizing Methods in Hamiltonian Dynamics (MN-50). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691164502.001.0001.

Full text
Abstract:
John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach—known as Aubry–Mather theory—singles out the existence of special orbits and invariant measures of the system, which possess a very rich dynamical and geometric structure. In particular, the associated invariant sets play a leading role in determining the global dynamics of the system. This book provides a comprehensive introduction to Mather's theory, and can serve as an interdisciplinary bridge for researchers and students from different fields seeking to acquaint themselves with the topic. Starting with the mathematical background from which Mather's theory was born, the book first focuses on the core questions the theory aims to answer—notably the destiny of broken invariant KAM tori and the onset of chaos—and describes how it can be viewed as a natural counterpart of KAM theory. The book achieves this by guiding readers through a detailed illustrative example, which also provides the basis for introducing the main ideas and concepts of the general theory. It then describes the whole theory and its subsequent developments and applications in their full generality.
APA, Harvard, Vancouver, ISO, and other styles
35

Putting Essential Understanding of Geometry and Measurement Into Practice in Grades 3-5. National Council of Teachers of Mathematics, 2016.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
36

Nelson, Margaret C., and Patricia A. Gilman. Mimbres Archaeology. Edited by Barbara Mills and Severin Fowles. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199978427.013.14.

Full text
Abstract:
The Mimbres cultural tradition once dominated southwestern New Mexico and adjacent areas, and is best known for intricate and beautiful pottery with black designs painted on a white background. The apex of population and tradition—1000–1130 ce—is labeled the Mimbres Classic period. Several major changes distinguish this period from earlier Pithouse periods, including the appearance of the first pueblos in the southern Southwest, increased population, change from enclosed to open ritual spaces, elaboration of black-on-white pottery, and a shift in pan-regional connections from west with the people of the Hohokam region to south into Mesoamerica. This chapter describes these trends and their implications. It then explores three research themes that have contributed to this cultural tradition and to broader understandings of society, ecology, and worldview: human-environment interactions; organizational variation of large pueblos, room layouts, ritual practices, and ceramic production; and the representational and geometric black-on-white pottery.
APA, Harvard, Vancouver, ISO, and other styles
37

Deruelle, Nathalie, and Jean-Philippe Uzan. Accelerated frames. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0023.

Full text
Abstract:
This chapter shows how, within the framework of special relativity, Newtonian inertial accelerations turn into mere geometrical quantities. In addition, the chapter states that labeling the points of Minkowski spacetime using curvilinear coordinates rather than Minkowski coordinates is mathematically just as simple as in Euclidean space. However, the interpretation of such a change of coordinates as passage from an inertial frame to an accelerated frame is more subtle. Hence, the chapter studies some examples of this phenomenon. Finally, it addresses the problem of understanding what the curvilinear coordinates actually represent. Or, similarly, it considers the question of how to realize them by a reference frame in actual, ‘relative, apparent, and common’ physical space.
APA, Harvard, Vancouver, ISO, and other styles
38

Iliopoulos, John. Symmetries. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198805175.003.0003.

Full text
Abstract:
The concept of symmetry plays a central role in our understanding of the fundamental laws of Nature. Through a deep mathematical theorem due to A.E. Noether, all conservation laws of classical physics are related to symmetries. In this chapter we start from the intuitively obvious notions of translation and rotation symmetries which are part of the axioms of Euclidian geometry. Following W. Heisenberg, we introduce the idea of isospin as a first example of an internal symmetry. A further abstraction leads to the concept of a global versus local, or gauge symmetry, which is a fundamental property of General Relativity. Combining the notions of internal and gauge symmetries we obtain the Yang-Mills theory which describes all fundamental interactions among elementary particles. A more technical part, which relates a gauge symmetry of the Schrödinger equation of quantum mechanics to the electromagnetic interactions, is presented in a separate section and its understanding is not required for the rest of the book.
APA, Harvard, Vancouver, ISO, and other styles
39

Deruelle, Nathalie, and Jean-Philippe Uzan. Relativity in Modern Physics. Translated by Patricia de Forcrand-Millard. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.001.0001.

Full text
Abstract:
Newton’s ideas about how to represent space and time, his laws of dynamics, and his theory of gravitation established the conceptual foundation from which modern physics developed. This book offers a modern view of Newtonian theory, emphasizing those aspects needed for understanding quantum and relativistic contemporary physics. In 1905, Albert Einstein proposed a novel representation of space and time, special relativity. The text also presents relativistic dynamics in inertial and accelerated frames, as well as a detailed overview of Maxwell’s theory of electromagnetism, thus providing the background necessary for studying particle and accelerator physics, astrophysics, and Einstein’s theory of general relativity. In 1915, Einstein proposed a new theory of gravitation, general relativity. Finally, the text develops the geometrical framework in which Einstein’s equations are formulated and presents several key applications: black holes, gravitational radiation, and cosmology.
APA, Harvard, Vancouver, ISO, and other styles
40

Sinclair, Margaret Patricia. Supporting student efforts to learn with understanding: An investigation of the use of JavaSketchpad sketches in the secondary geometry classroom. 2001.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
41

Mann, Peter. Linear Algebra. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0037.

Full text
Abstract:
This chapter is key to the understanding of classical mechanics as a geometrical theory. It builds upon earlier chapters on calculus and linear algebra and frames theoretical physics in a new and useful language. Although some degree of mathematical knowledge is required (from the previous chapters), the focus of this chapter is to explain exactly what is going on, rather than give a full working knowledge of the subject. Such an approach is rare in this field, yet is ever so welcome to newcomers who are exposed to this material for the first time! The chapter discusses topology, manifolds, forms, interior products, pullback and pushforward, as well as tangent bundles, cotangent bundles, jet bundles and principle bundles. It also discusses vector fields, integral curves, flow, exterior derivatives and fibre derivatives. In addition, Lie derivatives, Lie brackets, Lie algebra, Lie–Poisson brackets, vertical space, horizontal space, groups and algebroids are explained.
APA, Harvard, Vancouver, ISO, and other styles
42

Mann, Peter. Differential Geometry. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0038.

Full text
Abstract:
This chapter is key to the understanding of classical mechanics as a geometrical theory. It builds upon earlier chapters on calculus and linear algebra and frames theoretical physics in a new and useful language. Although some degree ofmathematical knowledge is required (from the previous chapters), the focus of this chapter is to explain exactlywhat is going on, rather than give a full working knowledge of the subject. Such an approach is rare in this field, yet is ever so welcome to newcomers who are exposed to this material for the first time! The chapter discusses topology, manifolds, forms, interior products, pullback and pushforward, as well as tangent bundles, cotangent bundles, jet bundles and principle bundles. It also discusses vector fields, integral curves, flow, exterior derivatives and fibre derivatives. In addition, Lie derivatives, Lie brackets, Lie algebra, Lie–Poisson brackets, vertical space, horizontal space, groups and algebroids are explained.
APA, Harvard, Vancouver, ISO, and other styles
43

Henderson, Andrea. Algebraic Art. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198809982.001.0001.

Full text
Abstract:
Algebraic Art explores the invention of a peculiarly Victorian account of the nature and value of aesthetic form, and it traces that account to a surprising source: mathematics. The nineteenth century was a moment of extraordinary mathematical innovation, witnessing the development of non-Euclidean geometry, the revaluation of symbolic algebra, and the importation of mathematical language into philosophy. All these innovations sprang from a reconception of mathematics as a formal rather than a referential practice—as a means for describing relationships rather than quantities. For Victorian mathematicians, the value of a claim lay not in its capacity to describe the world but its internal coherence. This concern with formal structure produced a striking convergence between mathematics and aesthetics: geometers wrote fables, logicians reconceived symbolism, and physicists described reality as consisting of beautiful patterns. Artists, meanwhile, drawing upon the cultural prestige of mathematics, conceived their work as a “science” of form, whether as lines in a painting, twinned characters in a novel, or wave-like stress patterns in a poem. Avant-garde photographs and paintings, fantastical novels like Flatland and Lewis Carroll’s children’s books, and experimental poetry by Swinburne, Rossetti, and Patmore created worlds governed by a rigorous internal logic even as they were pointedly unconcerned with reference or realist protocols. Algebraic Art shows that works we tend to regard as outliers to mainstream Victorian culture were expressions of a mathematical formalism that was central to Victorian knowledge production and that continues to shape our understanding of the significance of form.
APA, Harvard, Vancouver, ISO, and other styles
44

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. From Classical to Quantum Fields. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.001.0001.

Full text
Abstract:
Quantum field theory has become the universal language of most modern theoretical physics. This book is meant to provide an introduction to this subject with particular emphasis on the physics of the fundamental interactions and elementary particles. It is addressed to advanced undergraduate, or beginning graduate, students, who have majored in physics or mathematics. The ambition is to show how these two disciplines, through their mutual interactions over the past hundred years, have enriched themselves and have both shaped our understanding of the fundamental laws of nature. The subject of this book, the transition from a classical field theory to the corresponding Quantum Field Theory through the use of Feynman’s functional integral, perfectly exemplifies this connection. It is shown how some fundamental physical principles, such as relativistic invariance, locality of the interactions, causality and positivity of the energy, form the basic elements of a modern physical theory. The standard theory of the fundamental forces is a perfect example of this connection. Based on some abstract concepts, such as group theory, gauge symmetries, and differential geometry, it provides for a detailed model whose agreement with experiment has been spectacular. The book starts with a brief description of the field theory axioms and explains the principles of gauge invariance and spontaneous symmetry breaking. It develops the techniques of perturbation theory and renormalisation with some specific examples. The last Chapters contain a presentation of the standard model and its experimental successes, as well as the attempts to go beyond with a discussion of grand unified theories and supersymmetry.
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Geometric understanding' for other source types:
Journal articles Dissertations / Theses
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography