Algebra

The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990's. As early as the 1960's, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and intellectual interest of thousands of high school and college students. These same ideas, this development, are available in the following books to any student who is willing to read, to be stimulated, and to learn. "Algebra" is an elementary algebra text from one of the leading mathematicians of the world -- a major contribution to the teaching of the very first high school level course in a centuries old topic -- refreshed by the author's inimitable pedagogical style and deep understanding of mathematics and how it is taught and learned. This text has been adopted at: Holyoke Community College, Holyoke, MA * University of Illinois in Chicago, Chicago, IL * University of Chicago, Chicago, IL * California State University, Hayward, CA * Georgia Southwestern College, Americus, GA * Carey College, Hattiesburg, MS

Science & Math

Alexander Shen

Israel M. Gelfand

Mathematics

Birkhauser

Algorithms and Programming is primarily intended for a first year undergraduate course in programming. It is structured in a problem-solution format that requires the student to think through the programming process, thus developing an understanding of the underlying theory. Although the author assumes some moderate familiarity with programming constructs, the book is easily readable by a student taking a basic introductory course in computer science. In addition, the more advanced chapters make the book useful for a course at the graduate level in the analysis of algorithms and/or compiler construction. Each chapter is more or less independent, containing classical and well-known problems supplemented by clear and in-depth explanations. While program examples are written in Pascal, any other procedural language (e.g., Modula, Oberon, C) may be used instead. Problems at all different levels progress in difficulty. Some problems are somewhat loosely connected to one another, and others are devoted to one specific algorithm (e.g., section on LR-parsing). The material covered includes such topics as combinatorics, sorting, searching, queues, grammar and parsing, selected well-known algorithms, and much more. Students and teachers will find this both an excellent text for learning programming and a source of problems for a variety of courses.

Algorithms and Programming: Problems and Solutions

Computers & Technology

Programming

Birkhäuser Boston

This book is primarily intended for a first-year undergraduate course in programming. It is structured in a problem-solution format that requires the student to think through the programming process, thus developing an understanding of the underlying theory. Each chapter is more or less independent. Although the author assumes some moderate familiarity with programming constructs, the book is easily readable by a student taking a basic introductory course in computer science. Students and teachers will find this both an excellent text for learning programming and a source of problems for a variety of courses.

Algorithms and Programming: Problems and Solutions (Modern Birkhäuser Classics)

Computer Science

Classical Euclidean geometry, with all its triangles, circles, and inscribed angles, remains an excellent playground for high-school mathematics students, even if it looks outdated from the professional mathematician's viewpoint. It provides an excellent choice of elegant and natural problems that can be used in a course based on problem solving. The book contains more than 750 (mostly) easy but nontrivial problems in all areas of plane geometry and solutions for most of them, as well as additional problems for self-study (some with hints). Each chapter also provides concise reminders of basic notions used in the chapter, so the book is almost self-contained (although a good textbook and competent teacher are always recommended). More than 450 figures illustrate the problems and their solutions. The book can be used by motivated high-school students, as well as their teachers and parents. After solving the problems in the book the student will have mastered the main notions and methods of plane geometry and, hopefully, will have had fun in the process. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Geometry in Problems (MSRI Mathematical Circles Library)

American Mathematical Society

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Books by Alexander Shen