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Author: Titu Andreescu Publisher: Springer ISBN: 0817646361 Category : Mathematics Languages : en Pages : 498
Book Description
Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science. Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra with Applications" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject’s hallmark.
Author: Titu Andreescu Publisher: Springer ISBN: 0817646361 Category : Mathematics Languages : en Pages : 498
Book Description
Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science. Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra with Applications" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject’s hallmark.
Author: Richard W. Fisher Publisher: Mastering Essential Math Skill ISBN: 9780966621181 Category : Education Languages : en Pages : 80
Book Description
What good is math if you can't put it to good use? Studies show that problem solving is THE most neglected topic in most math programs. This book will ensure that the students develop their math critical thinking skills. Students will learn to apply whole numbers, fractions, decimals, and percents to real-life situations.
Author: Richard W. Fisher Publisher: ISBN: 9780966621112 Category : Activity programs in education Languages : en Pages : 0
Book Description
Provides structure and guidance to the teacher by means of speed drills, review exercises, teacher tips, word problems and new material for each day.
Author: Titu Andreescu Publisher: ISBN: 9780979926952 Category : Algebra Languages : en Pages : 0
Book Description
The main purpose of this book is to provide an introduction to central topics in elementary algebra from a problem-solving point of view. While working with students who were preparing for various mathematics competitions or exams, the author observed that fundamental algebraic techniques were not part of their mathematical repertoire. Since algebraic skills are not only critical to algebra itself but also to numerous other mathematical fields, a lack of such knowledge can drastically hinder a student's performance. Taking the above observations into account, the author has put together this introductory book using both simple and challenging examples which shed light upon essential algebraic strategies and techniques, as well as their application in diverse meaningful problems. This work is the first volume in a series of such books. The featured topics from elementary and classical algebra include factorizations, algebraic identities, inequalities, algebraic equations and systems of equations. More advanced concepts such as complex numbers, exponents and logarithms, as well as other topics, are generally avoided.Nevertheless, some problems are constructed using properties of complex numbers which challenge and expose the reader to a broader spectrum of mathematics. Each chapter focuses on specific methods or strategies and provides an ample collection of accompanying problems that graduate in difficulty and complexity. In order to assist the reader with verifying mastery of the theoretical component, 105 problems are included in the last sections of the book, of which 52 are introductory and 53 are advanced. All problems come together with solutions, many employing several approaches and providing the motivation behind the solutions offered.
Author: Anthony W. Knapp Publisher: Springer Science & Business Media ISBN: 0817645292 Category : Mathematics Languages : en Pages : 762
Book Description
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.
Author: Alco Mathematic Tutorial Series Publisher: ISBN: 9781457523557 Category : Languages : en Pages : 192
Book Description
This textbook is designed around the philosophy that students do better in math and science if they have a real perception of the fundamental concepts of mathematics. The content within this textbook first places an emphasis on developing a strategy for solving math problems which will mentally lead the problem solver towards a solution. Secondly, this text encourages the problem solver to visualize images such as charts, graphs, sketches or models to support that strategy. These steps encourage a student to think their way through each problem so they will understand the concepts rather than to make an attempt to memorize a way to get an answer. Successful math students understand the concepts while other students attempt to memorize and duplicate. This text encourages students to develop an understanding approach to problem solving as they solve more than 1100 progressively challenging problems. "Best Strategies for Pre-Algebra with Basic Algebra" is written in a concise and sequential manner that will promote student interest and efficiency. This text demonstrates the necessary fundamentals taught in Pre-Algebra and it also includes two additional chapters of Algebra, which emphasizes the use of variables, as well as, graphing, writing, and solving linear equations. The content of this book was written to fulfill the needs of any middle school or high school Pre-Algebra course. Any student of higher level mathematics could also use this text to refresh their memory on the fundamentals of Pre-Algebra. The dimensions of this 6" by 9" textbook makes it light and easy to carry. Special important facts, concepts, or diagrams are emphasized in color. The concise descriptions of why and how problems are simplified will keep students interested. This text should fulfill the requirements of any Pre-Algebra class or could be used to supplement any school's current math program. Also "Best Strategies for Pre-Algebra with Basic Algebra" would be a great text for home schooling.
Author: Chris Mcmullen Publisher: ISBN: 9781941691342 Category : Mathematics Languages : en Pages : 390
Book Description
Master essential algebra skills through helpful explanations, instructive examples, and plenty of practice exercises with full solutions. Authored by experienced teacher, Chris McMullen, Ph.D., this algebra book covers: distributing and factoring the FOIL method cross multiplying quadratic equations and the quadratic formula how to combine like terms and isolate the unknown an explanation of what algebra is a variety of rules for working with exponents solving systems of equations using substitution, simultaneous equations, or Cramer's rule algebra with inequalities The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving algebra problems.
Author: Sanjay Jamindar Publisher: Createspace Independent Publishing Platform ISBN: 9781545452943 Category : Languages : en Pages : 62
Book Description
The aim of "100 Challenging Algebra Problems & Solutions(Volume 2): Assessment Lessons For Grade 9 & 10 Students" book is to help primary school students of Grade 9 and 10 (Class-IX, X) develop their Algebra problem solving skills and expand their knowledge of basic Algebra taught at Schools. The book provides ample practice on various types of problems which can be solved by basic Algebra Formulas. This is the second "Assessment Lessons" volume of the series of books to be published in future. These problems will provide an overall assessment of the student's progress in learning basic Algebra concepts and formulas taught in various secondary class textbooks. Students will definitely find this book useful in preparing for their examinations and evaluating their knowledge of Algebra. This book also provides the method of solving these problems along with the answers which are provided at the end of this book. Students are encouraged to consciously apply their original thoughts in solving these problems on their own.
Author: Titu Andreescu
Author: Titu Andreescu
Author: Marvin L. Bittinger
Author: Richard W. Fisher
Author: Abraham P. Hillman
Author: Richard W. Fisher
Author: Titu Andreescu
Author: Anthony W. Knapp
Author: Alco Mathematic Tutorial Series
Author: Chris Mcmullen
Author: Sanjay Jamindar