Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Pre-Calculus, Calculus, and Beyond
 
Hung-Hsi Wu University of California, Berkeley, CA
Pre-Calculus, Calculus, and Beyond
Softcover ISBN:  978-1-4704-5677-1
Product Code:  MBK/133
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
eBook ISBN:  978-1-4704-6006-8
Product Code:  MBK/133.E
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
Softcover ISBN:  978-1-4704-5677-1
eBook: ISBN:  978-1-4704-6006-8
Product Code:  MBK/133.B
List Price: $100.00 $75.00
MAA Member Price: $90.00 $67.50
AMS Member Price: $80.00 $60.00
Pre-Calculus, Calculus, and Beyond
Click above image for expanded view
Pre-Calculus, Calculus, and Beyond
Hung-Hsi Wu University of California, Berkeley, CA
Softcover ISBN:  978-1-4704-5677-1
Product Code:  MBK/133
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
eBook ISBN:  978-1-4704-6006-8
Product Code:  MBK/133.E
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
Softcover ISBN:  978-1-4704-5677-1
eBook ISBN:  978-1-4704-6006-8
Product Code:  MBK/133.B
List Price: $100.00 $75.00
MAA Member Price: $90.00 $67.50
AMS Member Price: $80.00 $60.00
  • Book Details
     
     
    2020; 417 pp
    MSC: Primary 97; 00;

    This is the last of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject.

    This volume distinguishes itself from others of the same genre in getting the mathematics right. In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles. It also provides details for extending the domain of definition of sine and cosine to all real numbers. It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians.

    In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs. An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the “long division” of the numerator by the denominator. This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture.

    This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.

    Readership

    Teachers of middle school mathematics; students and professionals interested in mathematical education.

  • Table of Contents
     
     
    • Chapters
    • Trigonometry
    • The concept of limit
    • The decimal expansion of a number
    • Length and area
    • 3-Dimensional geometry and volume
    • Derivatives and integrals
    • Exponents and logarithms, revisited
    • Appendix: Facts from the companion volumes
  • Reviews
     
     
    • As in the previous volumes of this series, on each topic the author provides the reader with numerous illuminating activities and an excellent choice of a wide range of exercises.

      António de Bivar Weinholtz (University of Lisbon), European Mathematical Society
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
2020; 417 pp
MSC: Primary 97; 00;

This is the last of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject.

This volume distinguishes itself from others of the same genre in getting the mathematics right. In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles. It also provides details for extending the domain of definition of sine and cosine to all real numbers. It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians.

In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs. An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the “long division” of the numerator by the denominator. This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture.

This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.

Readership

Teachers of middle school mathematics; students and professionals interested in mathematical education.

  • Chapters
  • Trigonometry
  • The concept of limit
  • The decimal expansion of a number
  • Length and area
  • 3-Dimensional geometry and volume
  • Derivatives and integrals
  • Exponents and logarithms, revisited
  • Appendix: Facts from the companion volumes
  • As in the previous volumes of this series, on each topic the author provides the reader with numerous illuminating activities and an excellent choice of a wide range of exercises.

    António de Bivar Weinholtz (University of Lisbon), European Mathematical Society
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.