ArticleslgStudy

mathematics

IJP The Book of Surfaces

IJP The Book of Surfaces is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand IJP The Book of Surfaces rather than just read about it. In short: IJP the book of surfaces is a book by George L. Legendre, with a foreword by Mohsen Mostafavi.

IJP The Book of Surfaces — main illustration
IJP The Book of Surfaces — illustration

Key takeaways

  • IJP The Book of Surfaces belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect IJP The Book of Surfaces to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of IJP The Book of Surfaces from memory before moving on to harder problems.

Reference excerpt

IJP the book of surfaces is a book by George L. Legendre, with a foreword by Mohsen Mostafavi.

Overview IJP the Book of Surfaces was released in 2003 by the publishing arm of the London-based Architectural Association School of Architecture. The book features six essays on the notion of surface written from an architectural, philosophical, literary, mathematical, and computational angle, as well as several lighter asides ranging from cookery to poetry. These threads have been given a particular typographic and graphic design treatment meant to weave them together into a continuous narrative.

Background and literary references The book addresses some significant developments of the decade, such as the explosion of computational tools; the emergence of the 3D surface as an architectural signifier of the Digital Revolution; the profession's fascination with the formal possibilities of surface cladding; and the rise of innovative manufacturing technologies. It can be compared to contemporary titles like Mohsen Mostafavi’s and David Leatherbarrow’s Surface Architecture, an essay on the phenomenology of architectural façades, and Ellen Lupton’s collection Skin: Surface, Substance + Design, which explores the working metaphor of artificial skin in Materials science, fashion and the visual arts. By comparison, Illa Berman notes that IJP the Book of Surfaces withdraws from external cultural currents and their contexts and emerges from within the formal and computational specificity of the surface itself. As a piece of writing, it is indebted to the literary school Oulipo. Its treatment of one theme as a collection of vignettes written in different voices (linguistic, mathematical, computational, mock-literary, and pop-cultural) nods back to Raymond Queneau’s 1947 Exercises in Style, in which the same trivial event is told and re-told in different idioms.

Form and content In keeping with the literary/mathematical spirit of Oulipo, layout, typography, and pagination form an integral part of the book's thesis. The pagination taps the formal affinity between a publisher's book spread and a mathematician's surface, both of which draw on the concept of mathematical matrix. Similar mathematical references apply to the title of the work, which combines 'i' and 'j', two symbols commonly used in matrix algebra, with the symbol 'p' (for point), introduced by the author in reference to Euclidean space.

Reception The book's argument and restrained use of computer graphics by the standards of the day (dominated then as now by computer-generated renderings) elicited a mixed reception. Historians and theorists noted its withdrawal from the wider cultural context, its consistent argument, graphic sobriety, and theoretical reach. Some readers noted its lack of engagement with other pressing issues of the day, such as sustainability and ecology, as well as its blank and solipsistic tone, occasionally questionable syntax, and pedestrian graphic design. The book's reception may have reflected disagreements in the architectural community at the time over the meaning of innovation and the finality of computational tools. After 2015, similar disagreements arose between the trade press and the self-identifying avant-garde movement of architectural parametricism. Legendre has since distanced himself from the broader cultural claims of the movement).

See also Design computing – Computing as applied to design Digital architecture – Architecture using digital technology

References

Worked examples

Example 1 — a first encounter with IJP The Book of Surfaces

Start with the simplest possible case. Write down what IJP The Book of Surfaces claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to IJP The Book of Surfaces before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about IJP The Book of Surfaces ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of IJP The Book of Surfaces

In research
IJP The Book of Surfaces appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses IJP The Book of Surfaces in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
IJP The Book of Surfaces is common in secondary-school and first-year university syllabi. It links to neighbouring topics Architectural Association School of Architecture, Architecture books, Computer books, so understanding it makes those chapters shorter.
In everyday life
Look for IJP The Book of Surfaces outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “IJP The Book of Surfaces” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study IJP The Book of Surfaces in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what IJP The Book of Surfaces means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain IJP The Book of Surfaces out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is IJP The Book of Surfaces in simple terms?

IJP the book of surfaces is a book by George L. Legendre, with a foreword by Mohsen Mostafavi.

Why does IJP The Book of Surfaces matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study IJP The Book of Surfaces?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on IJP The Book of Surfaces.

Tags

  • Architectural Association School of Architecture
  • Architecture books
  • Computer books
  • Design books
  • Mathematics books

Keep exploring