Sign-In
Cart
A New Conception of Geometry
Paperback
ISBN13: 9781882564309
Publisher: Saltire Software Inc
Published: Feb 20 2018
Pages: 232
Weight: 1.03
Height: 0.49 Width: 8.00 Depth: 10.00
Language: English
Professor Zhang presents a new toolkit for solving geometry problems. He neatly presents these tools with 9 theorems and their elegant proofs. The cornerstone of his techniques is the Area Method, based on the directed area of triangles and their relationship to proportional sides. Professor Zhang instructs his students to do the algebraic deduction and calculation while making reference to the figures and their geometric relationships. The advantages of this approach are not only that it looks straightforward but his proofs frequently rely on an almost fixed recipe. For this reason the methods are important in Automated Geometric Reasoning. The Area Method and Full Angle Method theorem provers are based on the techniques introduced in this book.
These methods have been used successfully by Chinese students training for the International Mathematical Olympiads. Throughout the book and all examples in the last two chapters present problems from various math competitions around the world, many from past International Mathematical Olympiads.
This book will be of great interest to students and coaches of mathematics competitions, and to researchers in Automated Geometric Reasoning.
Also in
Geometry
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
The Little Book of Sacred Geometry: How to Harness the Power of Cosmic Patterns, Signs and Symbols
Carvel, Astrid
Paperback
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Expolog
Warren, Peggy
Wright, Susan
Other
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Paperback
Do Plants Know Math?: Unwinding the Story of Plant Spirals, from Leonardo Da Vinci to Now
Dumais, Jacques
Douady, Stéphane
Golé, Christophe
Hardcover
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everythingelse
Ellenberg, Jordan
Paperback
Sacred Geometry (Conscious Guides): How to Use Cosmic Patterns to Power Up Your Life
Foster, Jemma
Paperback
Geometría Y Trigonometría Baldor 4a. Ed. / Baldor's Geometry and Trigonometry, 4th Edition
Baldor, Aurelio
Hardcover
Quasi-Projective and Formal-Analytic Arithmetic Surfaces
Bost, Jean-Benoît
Charles, François
Hardcover
Drawing Circle Images: How to Draw Artistic Symmetrical Images with a Ruler and Compass
Studio, Musigfi
Paperback
Drawing Geometric Solids: How to Draw Polyhedra from Platonic Solids to Star-Shaped Stellated Dodecahedrons
Design, Sympsionics
Paperback
Mathematics: Its Content, Methods and Meaning
Lavrent'ev, M. a.
Aleksandrov, A. D.
Kolmogorov, A. N.
Paperback
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
Little, John
O'Shea, Donal
Cox, David A.
Hardcover
Make: Trigonometry: Build Your Way from Triangles to Analytic Geometry
Horvath, Joan
Cameron, Rich
Paperback
College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle
Altshiller-Court, Nathan
Paperback
Liberty's Grid: A Founding Father, a Mathematical Dreamland, and the Shaping of America
Alexander, Amir
Hardcover
4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4]
Apex Test Prep
Paperback
Geometry: 1001 Practice Problems for Dummies (+ Free Online Practice)
Kuang, Amber
Ma, Allen
Paperback
Amazing Patterns: Adult Coloring Book, Stress Relieving Mandala Style Patterns
Coloring Books for Adults
Adult Colouring Books
Adult Coloring Books
Paperback
The Fifth Postulate: How Unraveling a Two-Thousand-Year-Old Mystery Unraveled the Universe
Bardi, Jason Socrates
Hardcover
Tensor Calculus and Differential Forms: From Vector Calculus to the Geometry of Forms
Efthymiou, Thanasis
Hardcover
Functional and Harmonic Analysis: Weighted Lebesgue Spaces, Muckenhoupt Weights, Convexity and Bmo Spaces
Castillo, René Erlin
Ramos-Fernández, Julio César
Chaparro Gutiérrez, Héctor Camilo
Paperback
Space and Geometry: In the Light of Physiological, Psychological, and Physical Inquiry
Ernst Mach
Paperback