Natural Blogarithms

On my reading list page, I am keeping up with books I am reading, have read and intend to read. When I set it up, I realized that very there were none on my list related to my specific career choice, namely, a mathematician and a mathematic educator. I came across an article in this month’s Notices of the American Mathematical Society. The article that caught my eye was “The Mathematics Autodidact’s Aid” by Kristine K. Fowler. In it, she proposes some essential texts for various fields in mathematics. I have often wondered where to start if I wanted to introduce myself to various areas of research in mathematics, particularly in areas that I have had little or no background. I am appending my reading list with the following titles. I have put an asterisk next to ones I particularly am interested in, while the others are still worth listing but not as enticing.

Mathematics Reading

Writing and Researching

• *Handbook of Writing for the Mathematical Sciences, Higham
• *(Article) “Tools and Strategies for searching the research literature,” Molly T. White

History of Mathematics

• *Concise History of Mathematics, Struik
• *Math through the ages, Berlinghoff and Gouvea
• History of Mathematics: An Introduction, Katz
• Norton History of Mathematical Sciences: The Rainbow of Mathematics, Grattan-Guinness
• The Companion Encylcopedia of the History and Philosophy of the Mathematical Sciences, Grattan-Guiness

Real Analysis

• Advanced Calculus, Buck
• Mathematical Analysis, Apostol
• Introduction to Topology and Modern Analysis, Simmons
• *Real Analysis: Modern Techniques and Their Applications, Folland
• *Real Analysis, Royden.
• *Selected Problems in Real Analysis, Makarov et al.

Ordinary and Partial Differential Equations

• *Elementray Differential Equations and Boundary Value Problems, Boyce and Diprima
• *Differential Equations, Dynamical Systems and an Introduction to Chaos by Hirsch, Smale and Devaney
• Theory of Ordinary Differential Equations by Coddington and Levinson
• Ordinary Differential Equations with Applications, Chicone
• First Course in Partial Differential Equations with Complex Variables and Transform Methods, Weinberger
• *Partial Differential Equations: An Introduction, Strauss
• *Navier-Stokes Equations: Theory and Numerical Analysis, Temam’s

Numerical Analysis

• *Numerical Mathematics, Quarteroni, Sacco and Saleri
• *Matrix Computations, Golub and Van Loan
• First Course in the Numerical Analysis of Differential Equations, Iserles’s
• *Theoretical Numerical Analysis, Atkinson and Han (Functional Analysis framework)
• *Handbook of Numerical Analysis, Ciarlet and Lions
• Iterative Methods of Lienar and Nonlinear equations, Numerical Optimization, Nocedal and Wright
• Numerical Initial Value Problems in Ordinary Differential Equations, Gear
• Numerical Solution of Boundary Value Problems for Ordinary Differential Equations by Ascher, Matthejj and Russell
• Finite Elements, Braess
• *Numerical Approximation of Partial Differential Equations, Qarteroni and Vallil

Mathematics Education

• International Handbook of Mathematics Education, Bishop
• Handbook of Internation Researchi n Mathematics Education, English
• Handbook of Research on Mathematics Teaching and Learning, Grouws
• Handbook of Research Design in Science and Mathematics Education, Kelly and Lesh.

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