Pencils of Cubics and Algebraic Curves in the Real Projective Plane thoroughly examines the combinatorial configurations of n generic points in RP2. Especially how it is the data describing the mutual position of each point with respect to lines and conics passing through others. The first section in this book answers questions such as, can one count the combinatorial configurations up to the action of the symmetric group? How are they pairwise connected via almost generic configurations? These questions are addressed using rational cubics and pencils of cubics for n = 6 and 7. The book’s second section deals with configurations of eight points in the convex position. Both the combinatorial configurations and combinatorial pencils are classified up to the action of the dihedral group D8. Finally, the third section contains plentiful applications and results around Hilbert’s sixteenth problem. The author meticulously wrote this book based upon years of research devoted to the topic. The book is particularly useful for researchers and graduate students interested in topology, algebraic geometry and combinatorics. Features: Examines how the shape of pencils depends on the corresponding configurations of points Includes topology of real algebraic curves Contains numerous applications and results around Hilbert’s sixteenth problem About the Author: Séverine Fiedler-le Touzé has published several papers on this topic and has been invited to present at many conferences. She holds a Ph.D. from University Rennes1 and was a post-doc at the Mathematical Sciences Research Institute in Berkeley, California.

The completely updated, illustrated bestseller on architectural graphics with over 500,000 copies sold Architectural Graphics presents a wide range of basic graphic tools and techniques designers use to communicate architectural ideas. Expanding upon the wealth of illustrations and information that have made this title a classic, this Fourth Edition provides expanded and updated coverage of drawing materials, multiview drawings, paraline drawings, and perspective drawings. Also new to this edition is the author's unique incorporation of digital technology into his successful methods. While covering essential drawing principles, this book presents: approaches to drawing section views of building interiors, methods for drawing modified perspectives, techniques for creating accurate shade and shadows, expert styles of freehand sketching and diagramming, and much more.