Hardcover ISBN:  9780883855713 
Product Code:  SPEC/68 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781470458638 
Product Code:  SPEC/68.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Hardcover ISBN:  9780883855713 
eBook: ISBN:  9781470458638 
Product Code:  SPEC/68.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 
Hardcover ISBN:  9780883855713 
Product Code:  SPEC/68 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781470458638 
Product Code:  SPEC/68.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Hardcover ISBN:  9780883855713 
eBook ISBN:  9781470458638 
Product Code:  SPEC/68.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 

Book DetailsSpectrumVolume: 68; 2011; 312 pp
This book is the second volume based on lectures for precollege students given by prominent mathematicians in the Bay Area Mathematical Adventures (BAMA). This book reflects the flavor of the BAMA lectures and the excitement they have generated among the high school and middle school students in the Silicon Valley. The topics cover a wide range of mathematical subjects each treated by a leading proponent of the subject at levels designed to challenge and attract students whose mathematical interests are just beginning. In addition, the treatments given here will intrigue and enchant a more mature mathematician. It is hoped that the publication of these lectures will expose students outside of the San Francisco Bay Area to interesting mathematical topics and treatments outside of their normal experience in the classroom. Mathematical educators are encouraged to offer the students in their own localities similar opportunities to come into contact with exciting adventures in mathematics.

Table of Contents

Chapters

I. General

1. Yearning for the Impossible, John Stillwell

2. Simple Mathematical Paradoxes, John Mitchem

3. Mathemagical Miracles, “Card Colm” Mulcahy

4. The Mathematics of Sudoku, Tom Davis

5. Infinity: Cardinal Numbers, Bjorn Poonen

II. Number Theory

6. Some Very Interesting Sequences, John H. Conway and Tim Hsu

7. Are There Infinitely Many Twin Primes?, D. A. Goldston

8. The Riemann Hypothesis, J. B. Conrey

III. Geometry & Topology

9. Is it knotted?, Joel Hass and Abigail Thompson

10. A Topological Approach to Molecular Chirality, Erica Flapan

11. A Noneuclidean Universe, Frank A. Farris

12. Soap Bubble Clusters, Frank Morgan

13. Maximum Volume Space Quadrilaterals, Thomas Banchoff, with Nicholas Haber and Aaron MazelGee

IV. Combinatorics & Graph Theory

14. The Art of Counting, David Bressoud

15. The 2003 Mathematics Awareness Month Theme and Poster, Joseph A. Gallian

V. Applied Mathematics

16. Heavenly Mathematics: Observing the Sun and the Moon from Different Parts of the World, Helmer Aslaksen

17. Zero Knowledge Proofs, Stephen G. Krantz

18. Mathematical Rx, Helen Moore

19. The Agreeable Society Theorem, Francis Edward Su

20. Central Configurations—A Problem for the Twentyfirst Century, Donald G. Saari


Reviews

Every generation requires persuasion (or at least reminding) of the coolness of mathematics. Many books, and even most pages of certain journals, dedicate themselves to this goal. Now certain topics seem immortally cool, e.g., transfinite cardinals, the Fibonacci sequence, knots, nonEuclidean geometry, soap bubbles, zeroknowledge proofs (revisited here by B. Poonen, J.H. Conway, and T. Hsu, J. Haas and A. Thompson, F. Farris, F. Morgan, and S. Krantz, respectively). There is special interest when breaking research developments and open problems make contact with the world of stuff everyone can understandas here in articles about twin primes, the Riemann hypothesis, and celestial mechanics (by D. Goldston, J. Conrey, and D. Saari, respectively). Coolness can also have a grounding in grim practicality, as in H. Moore's article about mathematical attacks on HIV and leukemia. but the gem of this collection? Perhaps T. Davis's article, "The Mathematics of Sudoku," which reveals the unexpected depth underlying a mathematician's viewpoint concerning a widely popular pastime that one might otherwise dismiss as a trivial distraction; Davis will get many a student hooked on the joy of critically rethinking the otherwise familiar. Highly recommended.
D.V. Feldman, CHOICE 
This book is the second collection of essays that originated as talks in the Bay Area Mathematical Adventures (BAMA) lecture series. The first collection, Mathematical Adventures for Students and Amateurs, was published in 2004. In the preface to Expeditions in Mathematics, the editors note that these talks were originally intended for middle school and high school students and teachers but they now attract a broader audience, including students at other levels, parents, and the general public. The list of speakers and authors is impressive, and the topics range from general interest, number theory, geometry, topology, combinatorics, graph theory, and applied mathematics. There are many books which provide a collection of topics. By way of comparison, I also like FiveMinute Mathematics, (Ehrhard Behrends), which provides a wider range of topics presented in less detail. An interested reader of FiveMinute Mathematics will probably want to look for more material to supplement their reading. Expeditions in Mathematics gives a thorough presentation for each topic. As might be expected, some of the papers collected here are more technical than others, but a dedicated reader could spend an hour or an afternoon on one of these papers. Many of these papers are best read with paper and pencil nearby. After the reading is finished, most of the essays include a brief answer to some of the problems posed, additional problems, references, and items for further reading. These essays could be used as an initial reading assignment for an independent study or guided research project. In a course for mathematics majors, an instructor could use one of these essays to introduce a topic or to give a summary. Some of the essays in Expeditions in Mathematics are accessible to bright younger students, the original audience of the BAMA talks, but that would require more time and guidance. Certainly these essays would make for interesting reading if you wanted to see what is going on in an area of mathematics that is beyond your own field of experience. As I browsed through this book, I wished that I had access to this series of talks, and imagined myself and my students in the audience. Expeditions in Mathematics is a testimony to what certainly must be an engaging lecture series.
Mike Daven, MAA Reviews 
Expeditions in Mathematics is a collection of articles that stem from talks given at the Bay Area Mathematical Adventures (BAMA) program (events are held at San Jose State University and Santa Clara University). BAMA invites mathematicians to speak on a wide range of topics to middle and high school students, parents, teachers, college students, and the public. The topics range from number theory to geometry to combinatorics to applied mathematics. This variety of topics could interest a wide variety of mathematics enthusiasts. However, if a reader is not familiar with collegelevel mathematics, only parts of this book will be accessible. The collection is divided into five parts. The articles in part 1, categorized as general topics, would work with younger ages or a general audience. One example is "The Mathematics of Sudoku," by Tom Davis (chapter4), which deals with strategies for solving the popular puzzle. "Maximum Volume Space Quadrilaterals," by Thomas Banchoff with Nicholas Haber and Aaron MazelGee (chapter 13 in part 3), is difficult to follow, partly because of the lack of text references to the numbered figures. Expeditions in Mathematics would be a valuable resource for high school teachers who are working with very bright students looking for a challenge and wanting to delve deeper into an area or an application of mathematics.
Mathematics Teacher


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This book is the second volume based on lectures for precollege students given by prominent mathematicians in the Bay Area Mathematical Adventures (BAMA). This book reflects the flavor of the BAMA lectures and the excitement they have generated among the high school and middle school students in the Silicon Valley. The topics cover a wide range of mathematical subjects each treated by a leading proponent of the subject at levels designed to challenge and attract students whose mathematical interests are just beginning. In addition, the treatments given here will intrigue and enchant a more mature mathematician. It is hoped that the publication of these lectures will expose students outside of the San Francisco Bay Area to interesting mathematical topics and treatments outside of their normal experience in the classroom. Mathematical educators are encouraged to offer the students in their own localities similar opportunities to come into contact with exciting adventures in mathematics.

Chapters

I. General

1. Yearning for the Impossible, John Stillwell

2. Simple Mathematical Paradoxes, John Mitchem

3. Mathemagical Miracles, “Card Colm” Mulcahy

4. The Mathematics of Sudoku, Tom Davis

5. Infinity: Cardinal Numbers, Bjorn Poonen

II. Number Theory

6. Some Very Interesting Sequences, John H. Conway and Tim Hsu

7. Are There Infinitely Many Twin Primes?, D. A. Goldston

8. The Riemann Hypothesis, J. B. Conrey

III. Geometry & Topology

9. Is it knotted?, Joel Hass and Abigail Thompson

10. A Topological Approach to Molecular Chirality, Erica Flapan

11. A Noneuclidean Universe, Frank A. Farris

12. Soap Bubble Clusters, Frank Morgan

13. Maximum Volume Space Quadrilaterals, Thomas Banchoff, with Nicholas Haber and Aaron MazelGee

IV. Combinatorics & Graph Theory

14. The Art of Counting, David Bressoud

15. The 2003 Mathematics Awareness Month Theme and Poster, Joseph A. Gallian

V. Applied Mathematics

16. Heavenly Mathematics: Observing the Sun and the Moon from Different Parts of the World, Helmer Aslaksen

17. Zero Knowledge Proofs, Stephen G. Krantz

18. Mathematical Rx, Helen Moore

19. The Agreeable Society Theorem, Francis Edward Su

20. Central Configurations—A Problem for the Twentyfirst Century, Donald G. Saari

Every generation requires persuasion (or at least reminding) of the coolness of mathematics. Many books, and even most pages of certain journals, dedicate themselves to this goal. Now certain topics seem immortally cool, e.g., transfinite cardinals, the Fibonacci sequence, knots, nonEuclidean geometry, soap bubbles, zeroknowledge proofs (revisited here by B. Poonen, J.H. Conway, and T. Hsu, J. Haas and A. Thompson, F. Farris, F. Morgan, and S. Krantz, respectively). There is special interest when breaking research developments and open problems make contact with the world of stuff everyone can understandas here in articles about twin primes, the Riemann hypothesis, and celestial mechanics (by D. Goldston, J. Conrey, and D. Saari, respectively). Coolness can also have a grounding in grim practicality, as in H. Moore's article about mathematical attacks on HIV and leukemia. but the gem of this collection? Perhaps T. Davis's article, "The Mathematics of Sudoku," which reveals the unexpected depth underlying a mathematician's viewpoint concerning a widely popular pastime that one might otherwise dismiss as a trivial distraction; Davis will get many a student hooked on the joy of critically rethinking the otherwise familiar. Highly recommended.
D.V. Feldman, CHOICE 
This book is the second collection of essays that originated as talks in the Bay Area Mathematical Adventures (BAMA) lecture series. The first collection, Mathematical Adventures for Students and Amateurs, was published in 2004. In the preface to Expeditions in Mathematics, the editors note that these talks were originally intended for middle school and high school students and teachers but they now attract a broader audience, including students at other levels, parents, and the general public. The list of speakers and authors is impressive, and the topics range from general interest, number theory, geometry, topology, combinatorics, graph theory, and applied mathematics. There are many books which provide a collection of topics. By way of comparison, I also like FiveMinute Mathematics, (Ehrhard Behrends), which provides a wider range of topics presented in less detail. An interested reader of FiveMinute Mathematics will probably want to look for more material to supplement their reading. Expeditions in Mathematics gives a thorough presentation for each topic. As might be expected, some of the papers collected here are more technical than others, but a dedicated reader could spend an hour or an afternoon on one of these papers. Many of these papers are best read with paper and pencil nearby. After the reading is finished, most of the essays include a brief answer to some of the problems posed, additional problems, references, and items for further reading. These essays could be used as an initial reading assignment for an independent study or guided research project. In a course for mathematics majors, an instructor could use one of these essays to introduce a topic or to give a summary. Some of the essays in Expeditions in Mathematics are accessible to bright younger students, the original audience of the BAMA talks, but that would require more time and guidance. Certainly these essays would make for interesting reading if you wanted to see what is going on in an area of mathematics that is beyond your own field of experience. As I browsed through this book, I wished that I had access to this series of talks, and imagined myself and my students in the audience. Expeditions in Mathematics is a testimony to what certainly must be an engaging lecture series.
Mike Daven, MAA Reviews 
Expeditions in Mathematics is a collection of articles that stem from talks given at the Bay Area Mathematical Adventures (BAMA) program (events are held at San Jose State University and Santa Clara University). BAMA invites mathematicians to speak on a wide range of topics to middle and high school students, parents, teachers, college students, and the public. The topics range from number theory to geometry to combinatorics to applied mathematics. This variety of topics could interest a wide variety of mathematics enthusiasts. However, if a reader is not familiar with collegelevel mathematics, only parts of this book will be accessible. The collection is divided into five parts. The articles in part 1, categorized as general topics, would work with younger ages or a general audience. One example is "The Mathematics of Sudoku," by Tom Davis (chapter4), which deals with strategies for solving the popular puzzle. "Maximum Volume Space Quadrilaterals," by Thomas Banchoff with Nicholas Haber and Aaron MazelGee (chapter 13 in part 3), is difficult to follow, partly because of the lack of text references to the numbered figures. Expeditions in Mathematics would be a valuable resource for high school teachers who are working with very bright students looking for a challenge and wanting to delve deeper into an area or an application of mathematics.
Mathematics Teacher