Ebook The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell
Yeah, investing time to check out guide The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell by on the internet could additionally offer you favorable session. It will relieve to keep in touch in whatever condition. Through this can be much more interesting to do as well as less complicated to read. Now, to obtain this The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell, you can download in the web link that we give. It will assist you to obtain simple means to download the publication The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell.
The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell
Ebook The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell
The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell. Happy reading! This is what we wish to claim to you who like reading a lot. Just what concerning you that claim that reading are only obligation? Don't bother, reviewing behavior should be begun with some certain reasons. Among them is reading by obligation. As what we intend to offer below, guide qualified The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell is not kind of obligated book. You can appreciate this e-book The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell to read.
As one of the home window to open up the brand-new world, this The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell supplies its outstanding writing from the author. Released in among the prominent authors, this book The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell turneds into one of one of the most needed books lately. In fact, the book will certainly not matter if that The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell is a best seller or otherwise. Every book will consistently offer best sources to obtain the viewers all finest.
However, some individuals will certainly seek for the best vendor publication to read as the initial recommendation. This is why; this The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell exists to satisfy your necessity. Some people like reading this publication The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell as a result of this preferred publication, however some love this because of favourite author. Or, lots of additionally like reading this publication The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell considering that they actually should read this book. It can be the one that really enjoy reading.
In getting this The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell, you might not still pass walking or using your electric motors to guide shops. Get the queuing, under the rainfall or hot light, and still look for the unknown publication to be during that book shop. By seeing this page, you could just hunt for the The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell as well as you could discover it. So currently, this time around is for you to opt for the download web link and purchase The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell as your personal soft file publication. You could read this book The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell in soft file only as well as wait as your own. So, you do not have to hurriedly place guide The Four Pillars Of Geometry (Undergraduate Texts In Mathematics), By John Stillwell right into your bag everywhere.
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants
Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic
Abundantly supplemented with figures and exercises
- Sales Rank: #678521 in Books
- Published on: 2005-08-09
- Released on: 2005-08-09
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .55" w x 6.10" l, 1.15 pounds
- Binding: Hardcover
- 228 pages
Review
From the reviews:
"This is an introductory book on geometry, easy to read, written in an engaging style. The author’s goal is … to increase one’s overall understanding and appreciation of the subject. … Along the way, he presents elegant proofs of well-known theorems … . The advantage of the author’s approach is clear: in a short space he gives a brief introduction to many sides of geometry and includes many beautiful results, each explained from a perspective that makes it easy to understand." (Robin Hartshorne, SIAM Review, Vol. 48 (2), 2006)
"The pillars of the title are … Euclidean construction and axioms, coordinates and vectors, projective geometry, and transformations and non-Euclidean geometry. … The writing style is both student-friendly and deeply informed. The pleasing brevity of the book … makes the book especially suitable as an instruction to geometry for the large and critically important population of undergraduate mathematics majors … . Each chapter concludes with a well-written discussion section that combines history with glances at further results. There is a good selection of thought-provoking exercises." (R. J. Bumcrot, Mathematical Reviews, Issue 2006 e)
"The author acts on the assumption of four approaches to geometry: The axiomatic way, using linear Algebra, projective geometry and transformation groups. … Each of the chapters closes with a discussion giving hints on further aspects and historical remarks. … The book can be recommended to be used in undergraduate courses on geometry … ." (F. Manhart, Internationale Mathematische Nachrichten, Issue 203, 2006)
"Any new mathematics textbook by John Stillwell is worth a serious look. Stillwell is the prolific author of more than half a dozen textbooks … . I would not hesitate to recommend this text to any professor teaching a course in geometry who is more interested in providing a rapid survey of topics rather than an in-depth, semester-long, examination of any particular one." (Mark Hunacek, The Mathematical Gazette, Vol. 91 (521), 2007)
"The title refers to four different approaches to elementary geometry which according to the author only together show this field in all its splendor: via straightedge and compass constructions, linear algebra, projective geometry and transformation groups. … the book can be recommended warmly to undergraduates to get in touch with geometric thinking." (G. Kowol, Monatshefte für Mathematik, Vol. 150 (3), 2007)
"This book presents a tour on various approaches to a notion of geometry and the relationship between these approaches. … The book shows clearly how useful it is to use various tools in a description of basic geometrical questions to find the simplest and the most intuitive arguments for different problems. The book is a very useful source of ideas for high school teachers." (EMS Newsletter, March, 2007)
“The four pillars of geometry approaches geometry in four different ways, devoting two chapters to each, the first chapter being concrete and introductory, the second more abstract. … The content is quite elementary and is based on lectures given by the author at the University of San Francisco in 2004. … The book of Stillwell is a very good first introduction to geometry especially for the axiomatic and the projective point of view.” (Yves Félix, Bulletin of the Belgian Mathematical Society, Vol. 15 (1), 2008)
From the Back Cover
For two millennia the right way to teach geometry was the Euclidean approach, and in many respects, this is still the case. But in the 1950s the cry "Down with triangles!" was heard in France and new geometry books appeared, packed with linear algebra but with no diagrams. Was this the new right approach? Or was the right approach still something else, perhaps transformation groups?
The Four Pillars of Geometry approaches geometry in four different ways, spending two chapters on each. This makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic. Not only does each approach offer a different view; the combination of viewpoints yields insights not available in most books at this level. For example, it is shown how algebra emerges from projective geometry, and how the hyperbolic plane emerges from the real projective line.
The author begins with Euclid-style construction and axiomatics, then proceeds to linear algebra when it becomes convenient to replace tortuous arguments with simple calculations. Next, he uses projective geometry to explain why objects look the way they do, as well as to explain why geometry is entangled with algebra. And lastly, the author introduces transformation groups---not only to clarify the differences between geometries, but also to exhibit geometries that are unexpectedly the same.
All readers are sure to find something new in this attractive text, which is abundantly supplemented with figures and exercises. This book will be useful for an undergraduate geometry course, a capstone course, or a course aimed at future high school teachers.
John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).
Most helpful customer reviews
0 of 0 people found the following review helpful.
Professor Stillwell was my History of Mathematics Professor at the ...
By Gilbert Duy Pham Doan
Professor Stillwell was my History of Mathematics Professor at the University of San Francisco. He studied at the Massachusetts Institute of Technology with the PhD in Mathematics. He is an engaging lecturer and has written many textbooks on mathematics, especially important in the history of mathematics. His writing is clear prose and well revised and published. This textbook on the four pillars of geometry provides a gentle introduction to the geometries studied by professional mathematicians, without delving too deeply into advanced topics. He provides exercises for interested readers. This book is well organized and counts a significant contribution to the literature of mathematics in the modern century.
0 of 0 people found the following review helpful.
Great book!
By Amazon Customer
Fast shipping. Great book!
16 of 17 people found the following review helpful.
Makes the connections, simply, readably
By Phillip I. Good
This text makes the connections simply, readably among various interrelated branches of mathematics including geometry (four of them), trig, group theory, complex variables, and linear algebra. Recommended for every high school mathematics instructor.
See all 15 customer reviews...
The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell PDF
The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell EPub
The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell Doc
The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell iBooks
The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell rtf
The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell Mobipocket
The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell Kindle
[Q762.Ebook] Ebook The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell Doc
[Q762.Ebook] Ebook The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell Doc
[Q762.Ebook] Ebook The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell Doc
[Q762.Ebook] Ebook The Four Pillars of Geometry (Undergraduate Texts in Mathematics), by John Stillwell Doc
