mathematics

Book Reviews

• Paul S. Addison: Fractals and Chaos*
  An Illustrated Course
• Martin Aigner, Günter M. Ziegler: Proofs from THE BOOK**
  - mathematical results that are beautiful, accessible, and profound
• Martin Aigner: A Course in Enumeration*
  - the power of combinatorics
• Avner Ash, Robert Gross: Elliptic Tales
  Curves, Counting, and Number Theory
• Avner Ash, Robert Gross: Fearless Symmetry
  Exposing the Hidden Patterns of Numbers
• Michael F. Barnsley: Fractals Everywhere*
  - the power of iterated function systems
• Craig Barton: How I Wish I'd Taught Maths
  Lessons Learned from Research, Conversations with Experts, and 12 Years of Mistakes
• Martin Baxter, Andrew Rennie: Financial Calculus
  An Introduction to Derivative Pricing
• Marcel Berger: Geometry Revealed**
  A Jacob's Ladder to Modern Higher Geometry
• Rey Casse: Projective Geometry: An Introduction
  - a formal, coordinate-based approach
• Fan Chung, Ron Graham: Erdös on Graphs
  His Legacy of Unsolved Problems
• William S. Cleveland: The Elements of Graphing Data
  - effective graphical presentation of data
• John H. Conway, et al.: The Symmetries of Things**
  - repeating patterns, from the plane to higher dimensions
• H.S.M. Coxeter: Projective Geometry
  - an elementary approach emphasizing geometric intuition
• Florin Diacu, Philip Holmes: Celestial Encounters
  The Origins of Chaos and Stability
• Apostolos Doxiadis, Barry Mazur: Circles Disturbed
  The Interplay of Mathematics and Narrative
• Kenneth Falconer: Fractal Geometry
  Mathematical Foundations and Applications
• David P. Feldman: Chaos and Fractals
  An Elementary Introduction
• Gary William Flake: The Computational Beauty of Nature**
  Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation
• Georg Glaeser, Konrad Polthier: Bilder der Mathematik
  - visualisation for understanding
• Robert Goldblatt: Topoi: The Categorial Analysis of Logic
  - category theory as a basis for mathematical logic
• Ian Hacking: Why Is There Philosophy of Mathematics At All?
  - an informal tour by an experienced guide
• Joel David Hamkins: Lectures on the Philosophy of Mathematics**
  - from numbers and rigor to incompleteness and set theory
• John M. Harris, et al.: Combinatorics and Graph Theory*
  - from the elementary to the infinite
• Annette Imhausen: Mathematics in Ancient Egypt
  A Contextual History
• Stephen H. Kellert: In the Wake of Chaos*
  - what chaos theory is, and what it is not
• A.A. Kirillov: A Tale of Two Fractals
  - the Sierpinksi and Apollonian gaskets
• D.E. Knuth: Surreal Numbers
  - a lightly dramatised exploration
• Donald E. Knuth: The Art of Computer Programming**
  Fundamental Algorithms; Seminumerical Algorithms; Sorting and Searching
• Rafail Krichevsky: Universal Compression and Retrieval
• Nancy A. Lynch: Distributed Algorithms*
  - for a deep understanding of formal methods
• Benoit B. Mandelbrot: The Fractal Geometry of Nature*
  - a casebook and a manifesto
• Christopher Moore, Stephan Mertens: The Nature of Computation**
  - L, P, NP, EXP, co, SPACE, TIME, BPP, BQP, ...
• Tristram Needham: Visual Complex Analysis*
  - a genuinely geometric perspective
• Heinz-Otto Peitgen, et al.: Chaos and Fractals*
  New Frontiers of Science
• Stéphane Robin, et al.: DNA, Words and Models
  Statistics of Exceptional Words
• Manfred Schroeder: Fractals, Chaos, Power Laws
  Minutes from an Infinite Paradise
• John Stillwell: Elements of Mathematics: From Euclid to Gödel
  - "elementary" and its boundary with "advanced"
• John Stillwell: Mathematics and Its History*
  - core ideas of mathematics, in their historical context
• Edward R. Tufte: The Visual Display of Quantitative Information*
  - the classic work on statistical graphics
• Jeffrey R. Weeks: The Shape of Space*
  - the geometry and topology of surfaces and three-manifolds

See also: computer science