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By George King
Is there more than just the operation of addition in arithmetic? Can you subtract any number from another without borrowing? Can you multiply without carrying? Why, when doing a division problem, do you multiply, subtract, etc.? Is there a real mathematical basis behind the Order of Operations? Why does 'invert and multiply' work when dividing fractions? What are common denominators? Why do you not need common denominators to multiply fractions? If you are unsure about any of the answers to the above questions then you should read this book. It is sure to take some of the 'mystery' out of arithmetic as well as adding to your understanding. Mathematics teachers: You can bring a fresh approach to teaching arithmetic, and hopefully a better understanding for your students. Parents: No more do you have to say 'I don't understand the new math.' This is the old math from a new perspective. Anybody else: This is a 'fun' book to read, especially for a math book. It will not be long before you are seeing the Hermit move in and out of his cave, scratching his head, and trying to explain some mathematical property.
FORMAT: Softcover
By George King
Is there more than just the operation of addition in arithmetic? Can you subtract any number from another without borrowing? Can you multiply without carrying? Why, when doing a division problem, do you multiply, subtract, etc.? Is there a real mathematical basis behind the Order of Operations? Why does 'invert and multiply' work when dividing fractions? What are common denominators? Why do you not need common denominators to multiply fractions? If you are unsure about any of the answers to the above questions then you should read this book. It is sure to take some of the 'mystery' out of arithmetic as well as adding to your understanding. Mathematics teachers: You can bring a fresh approach to teaching arithmetic, and hopefully a better understanding for your students. Parents: No more do you have to say 'I don't understand the new math.' This is the old math from a new perspective. Anybody else: This is a 'fun' book to read, especially for a math book. It will not be long before you are seeing the Hermit move in and out of his cave, scratching his head, and trying to explain some mathematical property.
FORMAT: E-Book
By Marina Grinman
Get ahead in math by solving these real-world and fun-to-do word problems. Math by Example is an excellent resource of various math word problems. It is known that success on aptitude test like the SAT is directly tied to one's ability to solve word problems. This book was written with the intent of helping anyone wishing to develop this ability with ease. While most problems' complexity does not go beyond 710 grade level, their diversity allows one to fully flex mental muscles. You may even have fun!
FORMAT: Softcover
By Marina Grinman
Get ahead in math by solving these real-world and fun-to-do word problems. Math by Example is an excellent resource of various math word problems. It is known that success on aptitude test like the SAT is directly tied to one's ability to solve word problems. This book was written with the intent of helping anyone wishing to develop this ability with ease. While most problems' complexity does not go beyond 710 grade level, their diversity allows one to fully flex mental muscles. You may even have fun!
FORMAT: E-Book
By Troy L. Story
Introduction to Differential Geometry with applications to Navier-Stokes Dynamics is an invaluable manuscript for anyone who wants to understand and use exterior calculus and differential geometry, the modern approach to calculus and geometry. Author Troy Story makes use of over thirty years of research experience to provide a smooth transition from conventional calculus to exterior calculus and differential geometry, assuming only a knowledge of conventional calculus. Introduction to Differential Geometry with applications to Navier-Stokes Dynamics includes the topics:
- Geometry,
- Exterior calculus,
- Homology and co-homology,
- Applications of differential geometry and exterior calculus to: Hamiltonian mechanics, geometric optics, irreversible thermodynamics, black hole dynamics, electromagnetism, classical string fields, and Navier-Stokes dynamics.
FORMAT: Softcover
By Gregory Battle
The structure of Moore Penrose rings are analyzed with precise pristine logic by examining the detailed pulchritude of these prolific algebraic systems in the engineering and physical science disciplines. The early portion of this literary exposition employs formal ring classification by dissecting MP1 (or Von Neumann regular) rings from a perspective which justifies the usefulness of Moore Penrose rings in the error analysis of statistical regression, or as an optimization mechanism using the method of least squares. Subsequent sections contain both local and global inspections of these multifaceted Moore Penrose rings: their characterizations by idempotents; their integral extensions and matrix ring embeddings; their modular qualities and representations as direct sums and summands, as well as their preservation under canonical ring homomorphisms. This concise and taxonomical treatment of Moore Penrose rings allows this introduction to be a handy platform for promoting their research potential-not to overlook their appeal for reinforcing basic ring theory concepts for the beginning contemporary algebra student.
FORMAT: Softcover
By Gregory Battle
The structure of Moore Penrose rings are analyzed with precise pristine logic by examining the detailed pulchritude of these prolific algebraic systems in the engineering and physical science disciplines. The early portion of this literary exposition employs formal ring classification by dissecting MP1 (or Von Neumann regular) rings from a perspective which justifies the usefulness of Moore Penrose rings in the error analysis of statistical regression, or as an optimization mechanism using the method of least squares. Subsequent sections contain both local and global inspections of these multifaceted Moore Penrose rings: their characterizations by idempotents; their integral extensions and matrix ring embeddings; their modular qualities and representations as direct sums and summands, as well as their preservation under canonical ring homomorphisms. This concise and taxonomical treatment of Moore Penrose rings allows this introduction to be a handy platform for promoting their research potential-not to overlook their appeal for reinforcing basic ring theory concepts for the beginning contemporary algebra student.
FORMAT: E-Book
By Robert Hammond
Is it possible that the desire to learn mathematics is being destroyed for most students because of conditioning based on rote learning with the focus on pure mathematics and geometry through computer-driven instruction? Author Robert L. Hammond believes this to be the case and discusses solutions to this problem in Reasoning and Applied Mathematics for the Early Years: A Handbook for Teachers. Hammond provides lessons on how we can learn to love mathematics by approaching it as a "free creation of thought" as he: - Examines the current math programs for reasoning for seventh- and eighth-grade students, and indicates the need for focusing on reasoning as a major part of math instruction
- Reviews the results of his research to develop arithmetic and mathematical situations for the operations of addition, subtraction, multiplication, and division
- Reviews the laws governing the four basic operations that give the foundation for the lessons used in the workbook
Reasoning and Applied Mathematics for the Early Years also includes a student workbook as a resource for methods to teach reasoning and skill development to students. Using the guidelines provided, teachers can help their students develop skills in critical reading, thinking, and writing, while honing their reasoning and applied mathematics proficiencies.
FORMAT: Softcover
By Robert Hammond
Is it possible that the desire to learn mathematics is being destroyed for most students because of conditioning based on rote learning with the focus on pure mathematics and geometry through computer-driven instruction? Author Robert L. Hammond believes this to be the case and discusses solutions to this problem in Reasoning and Applied Mathematics for the Early Years: A Handbook for Teachers. Hammond provides lessons on how we can learn to love mathematics by approaching it as a "free creation of thought" as he: - Examines the current math programs for reasoning for seventh- and eighth-grade students, and indicates the need for focusing on reasoning as a major part of math instruction
- Reviews the results of his research to develop arithmetic and mathematical situations for the operations of addition, subtraction, multiplication, and division
- Reviews the laws governing the four basic operations that give the foundation for the lessons used in the workbook
Reasoning and Applied Mathematics for the Early Years also includes a student workbook as a resource for methods to teach reasoning and skill development to students. Using the guidelines provided, teachers can help their students develop skills in critical reading, thinking, and writing, while honing their reasoning and applied mathematics proficiencies.
FORMAT: E-Book
By Aileen Yamate Ed.D.
To the Teacher: What this book does is give you a systematic way to organize a mathematics curriculum. This is mathematics across the broad spectrum of curriculum, i.e. the skills and knowledge that students learn from this program can be applied and supported in other content areas. To the Parents: This book is designed to relate to you as a parent/guardian the importance of your involvement in your child's learning in this case, mathematics. To the Audience: What goes on behind the closed classroom door? You are invited to my journey in teaching mathematics to and making a difference in the lives of underachievers. I had to listen to each student and learn from them "how to teach for their learning."
FORMAT: Softcover
By Aileen Yamate Ed.D.
To the Teacher: What this book does is give you a systematic way to organize a mathematics curriculum. This is mathematics across the broad spectrum of curriculum, i.e. the skills and knowledge that students learn from this program can be applied and supported in other content areas. To the Parents: This book is designed to relate to you as a parent/guardian the importance of your involvement in your child's learning in this case, mathematics. To the Audience: What goes on behind the closed classroom door? You are invited to my journey in teaching mathematics to and making a difference in the lives of underachievers. I had to listen to each student and learn from them "how to teach for their learning."
FORMAT: Hardcover
By Story, Troy L.
Mathematical Modeling I: kinetics, thermodynamics and statistical mechanics (MMI) features traditional topics in physical chemistry (chemical physics), but is distinguished by problem solving techniques which emphasize the assignment of mathematical models to describe physical phenomena. MMI is a starting point to unify theoretical and empirical perceptions of the following topics: - Kinetics, distributions and collisions
- The first law of thermodynamics
- The second law of thermodynamics
- The third law of thermodynamics
- Statistical mechanics
MMI can be used as a text on the above topics in the first semester part of a two-semester undergraduate course in physical chemistry. Since many quantum ideas are introduced in the study of kinetics, distributions, collisions, and statistical mechanics, MMI serves as a logical foundation for the study of quantum mechanics and spectroscopy in the second volume, Mathematical Modeling II: quantum mechanics and spectroscopy (to appear in the fall of 2010).
FORMAT: Softcover
By Story, Troy L.
Mathematical Modeling I: kinetics, thermodynamics and statistical mechanics (MMI) features traditional topics in physical chemistry (chemical physics), but is distinguished by problem solving techniques which emphasize the assignment of mathematical models to describe physical phenomena. MMI is a starting point to unify theoretical and empirical perceptions of the following topics: - Kinetics, distributions and collisions
- The first law of thermodynamics
- The second law of thermodynamics
- The third law of thermodynamics
- Statistical mechanics
MMI can be used as a text on the above topics in the first semester part of a two-semester undergraduate course in physical chemistry. Since many quantum ideas are introduced in the study of kinetics, distributions, collisions, and statistical mechanics, MMI serves as a logical foundation for the study of quantum mechanics and spectroscopy in the second volume, Mathematical Modeling II: quantum mechanics and spectroscopy (to appear in the fall of 2010).
FORMAT: E-Book
By Ian Beardsley
An ongoing journal unraveling the secrets we have had in us about the Universe, from ancient to contemporary times, an exploration the author calls "Cosmic Archeology", a search for why we are here, and where we are going, through chemistry, math, physics and astronomy at a classical level of natural investigation.
FORMAT: E-Book
By Ian Beardsley
An ongoing journal unraveling the secrets we have had in us about the Universe, from ancient to contemporary times, an exploration the author calls "Cosmic Archeology", a search for why we are here, and where we are going, through chemistry, math, physics and astronomy at a classical level of natural investigation.
FORMAT: Softcover
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