Euclidean and Transformational Geometry: A Deductive Inquiry | 
 enlarge | Author: Shlomo Libeskind
Publisher: Jones & Bartlett Publishers
Category: Book
List Price: $114.95
Buy New: $48.91
You Save: $66.04 (57%)
New (15) Used (4) from $48.91
Rating:  2 reviews
Sales Rank: 592228
Media: Hardcover
Edition: 1
Pages: 371
Number Of Items: 1
Shipping Weight (lbs): 2.3
Dimensions (in): 11 x 8.5 x 0.7
ISBN: 0763743666
Dewey Decimal Number: 516
EAN: 9780763743666
Publication Date: November 1, 2007
Availability: Usually ships in 1-2 business days
Shipping: International shipping available
Condition: Brand New. Delivery is usually 5 - 8 working days from order, International is by Royal Mail Airmail
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Product Description
Ideal for mathematics majors and prospective secondary school teachers, Euclidean and Transformational Geometry provides a complete and solid presentation of Euclidean geometry with an emphasis on how to solve challenging problems. The author examines various strategies and heuristics for approaching proofs and discusses the process students should follow to determine how to proceed from one step to the next, through numerous problem solving techniques. A large collection of problems, varying in level of difficulty, are integrated throughout the text, and suggested hints for the more challenging problems appear in the instructor's solutions manual for use at instructor's discretion.
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| Customer Reviews:
Review from Karen March 3, 2008
Karen
4 out of 4 found this review helpful
I highly recommend this book by Professor Libeskind, because it has many outstanding features which make it is vastly superior to the typical college geometry textbook. This geometry textbook is a unique and extraordinary resource for students. It is an elegant book, beautifully written and illustrated, that will introduce students to the process of mathematics - that is to say, to explore interesting problems, discover for themselves possible solutions, and to verify a solution through the process of writing a proof. This book will be treasured by students long after they have completed their coursework and will surely be a continuing resource for students who enter the teaching profession. As a high school math teacher, I can also recommend this book for advanced high school geometry students.
With its beautiful illustrations, uncluttered diagrams, and clear writing style, this book will pique interest by offering students intriguing problems to consider. The book incorporates several features that will develop student appreciation for mathematics, including historical notes about mathematicians that give thoughtful glimpses into the personal lives of those who have contributed to the development of mathematics. The multicultural nature of the discipline of mathematics is clearly described in these notes, and in reading these notes, students will gain a deep respect for the contributions other times and cultures to present-day mathematics.
The book contains a wide range of problems designed to challenge students at every level of understanding. The author's clear belief is that all college students can engage in mathematics at a meaningful level, even beginning students. This textbook is written to develop an in-depth understanding of geometry, and also contains material that will challenge advanced students. Traditional geometric constructions with compass and straight-edge are approached as the outcome of exploration and discovery, rather than as mere techniques. Computer geometry software activities are also included in the text (i.e., Geometer Sketchpad). Sections on recursive formulas for evaluating , trigonometric functions, isometries, extremal problems, and complex numbers provide options for providing more complex material for advanced students.
Fantastic Resource April 26, 2008
Eri Pruett (California)
3 out of 3 found this review helpful
As a middle school math teacher, I am constantly struggling to find textbooks that I can use with my advanced students. There is a dearth of high-quality math textbooks aimed at advanced middle school and high school students, and I usually have to create my own lesson plans using bits and pieces from a number of sources. Though Dr. Libeskind's Euclidean and Transformational Geometry is intended to be a college-level text, I have found it a gold mine for for my advanced middle school classes. The format of the text very closely matches the way I present concepts to my students: each section begins with an introduction to new concepts and vocabulary, followed by simple diagrams and illustrations, and then a theorem and its proof. The exercises are designed to tie back into the main text discussion, and each section builds upon concepts that earlier sections have introduced.
Textbooks that I have worked with in the past have rarely given the same level of focus to writing and understanding proofs that this one does. My experience suggests that while many students find thinking about theorems in terms of proofs foreign at first, they quickly acclimate to the process if proofs are readily available for every property that they encounter. Dr. Libeskind's book is fantastic in this respect because he provides proofs for every mathematical relationship that the text proposes. The book is written to actively encourage students to get into the proof mindset so that they can deconstruct problems, and it is the only textbook that I have come across that does this effectively.
I am also impressed with Dr. Libeskind's ability to collect the diverse topics that his book covers and arrange them in a simple and logical way. This book is straightforward and to the point; no time is wasted on extraneous diagrams, pictures, or problems. The content is clear and concise, but unlike many other textbooks it also encourages the reader to think through problems himself rather than simply providing statements. Even the page layout, which separates ancillary discussions and exercises from the main text using color-coded side-bars and subsections, has been designed with simplicity and ease-of-use in mind.
Though my school district mandates the use of particular textbooks for middle school and high school math, I would like to have several copies of this book in my classroom for students to use as a resource. I have found it vastly superior to many other textbooks that cover the same subject, and though it is aimed at college-level courses, it has been very useful in my lesson planning.
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