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Knots and Surfaces: A Guide to Discovering Mathematics
 
David W. Farmer Bucknell University, Lewisburg, PA
Theodore B. Stanford University of Nevada, Reno, NV
Knots and Surfaces
Softcover ISBN:  978-0-8218-0451-3
Product Code:  MAWRLD/6
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
eBook ISBN:  978-1-4704-1191-6
Product Code:  MAWRLD/6.E
List Price: $39.00
MAA Member Price: $35.10
AMS Member Price: $31.20
Softcover ISBN:  978-0-8218-0451-3
eBook: ISBN:  978-1-4704-1191-6
Product Code:  MAWRLD/6.B
List Price: $84.00 $64.50
MAA Member Price: $75.60 $58.05
AMS Member Price: $67.20 $51.60
Knots and Surfaces
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Knots and Surfaces: A Guide to Discovering Mathematics
David W. Farmer Bucknell University, Lewisburg, PA
Theodore B. Stanford University of Nevada, Reno, NV
Softcover ISBN:  978-0-8218-0451-3
Product Code:  MAWRLD/6
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
eBook ISBN:  978-1-4704-1191-6
Product Code:  MAWRLD/6.E
List Price: $39.00
MAA Member Price: $35.10
AMS Member Price: $31.20
Softcover ISBN:  978-0-8218-0451-3
eBook ISBN:  978-1-4704-1191-6
Product Code:  MAWRLD/6.B
List Price: $84.00 $64.50
MAA Member Price: $75.60 $58.05
AMS Member Price: $67.20 $51.60
  • Book Details
     
     
    Mathematical World
    Volume: 61996; 101 pp
    MSC: Primary 57; Secondary 05

    In most mathematics textbooks, the most exciting part of mathematics—the process of invention and discovery—is completely hidden from the reader. The aim of Knots and Surfaces is to change all that. By means of a series of carefully selected tasks, this book leads readers to discover some real mathematics. There are no formulas to memorize; no procedures to follow. The book is a guide: its job is to start you in the right direction and to bring you back if you stray too far. Discovery is left to you.

    Suitable for a one-semester course at the beginning undergraduate level, there are no prerequisites for understanding the text. Any college student interested in discovering the beauty of mathematics will enjoy a course taught from this book. The book has also been used successfully with nonscience students who want to fulfill a science requirement.

    Also available from the AMS by David W. Farmer is Groups and Symmetry: A Guide to Discovering Mathematics.

    Readership

    Undergraduate students, graduate students, and research mathematicians interested in an introduction to modern areas of mathematics.

  • Table of Contents
     
     
    • Chapters
    • 1. Networks (Chapter 1)
    • 2. Surfaces (Chapter 2)
    • 3. Knots (Chapter 3)
    • 4. Projects (Chapter 4)
  • Reviews
     
     
    • The book is perfectly suited to a course for non-science majors in need of fulfilling a math requirement. All the sections have worked well at sparking student interest and convincing them that math is much more interesting than mere number-crunching and graphing.

      Professor William Bloch, Wheaton College
    • Would serve well as the basis of an independent study course in which the student would work through the tasks in a journal subject to periodic review by the instructor ... the writing is clear and engaging, and the tasks should be effective at setting a reasonable pace.

      American Mathematical Monthly
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 61996; 101 pp
MSC: Primary 57; Secondary 05

In most mathematics textbooks, the most exciting part of mathematics—the process of invention and discovery—is completely hidden from the reader. The aim of Knots and Surfaces is to change all that. By means of a series of carefully selected tasks, this book leads readers to discover some real mathematics. There are no formulas to memorize; no procedures to follow. The book is a guide: its job is to start you in the right direction and to bring you back if you stray too far. Discovery is left to you.

Suitable for a one-semester course at the beginning undergraduate level, there are no prerequisites for understanding the text. Any college student interested in discovering the beauty of mathematics will enjoy a course taught from this book. The book has also been used successfully with nonscience students who want to fulfill a science requirement.

Also available from the AMS by David W. Farmer is Groups and Symmetry: A Guide to Discovering Mathematics.

Readership

Undergraduate students, graduate students, and research mathematicians interested in an introduction to modern areas of mathematics.

  • Chapters
  • 1. Networks (Chapter 1)
  • 2. Surfaces (Chapter 2)
  • 3. Knots (Chapter 3)
  • 4. Projects (Chapter 4)
  • The book is perfectly suited to a course for non-science majors in need of fulfilling a math requirement. All the sections have worked well at sparking student interest and convincing them that math is much more interesting than mere number-crunching and graphing.

    Professor William Bloch, Wheaton College
  • Would serve well as the basis of an independent study course in which the student would work through the tasks in a journal subject to periodic review by the instructor ... the writing is clear and engaging, and the tasks should be effective at setting a reasonable pace.

    American Mathematical Monthly
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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