a new look at geometry

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A New Look At Geometry

Author : Irving Adler
ISBN : 9780486320496
Genre : Mathematics
File Size : 35. 35 MB
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This richly detailed overview surveys the evolution of geometrical ideas and the development of the concepts of modern geometry from ancient times to the present. Topics include projective, Euclidean, and non-Euclidean geometry as well as the role of geometry in Newtonian physics, calculus, and relativity. Over 100 exercises with answers. 1966 edition.

To Infinity And Beyond

Author : Eli Maor
ISBN : 0691025118
Genre : Mathematics
File Size : 47. 53 MB
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Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind--from the "horror infiniti" of the Greeks to the works of M. C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity--a fascination mingled with puzzlement. "Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M. C. Escher, six of whose works are shown here in beautiful color plates."--Los Angeles Times "[Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama."--Choice "Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics."--Science

Mathematically Speaking

Author : C.C. Gaither
ISBN : 1420050303
Genre : Mathematics
File Size : 69. 5 MB
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For the first time, a book has brought together in one easily accessible form the best expressed thoughts that are especially illuminating and pertinent to the discipline of mathematics. Mathematically Speaking: A Dictionary of Quotations provides profound, wise, and witty quotes from the most famous to the unknown. You may not find all the quoted "jewels" that exist, but you will definitely a great many of them here. The extensive author and subject indexes provide you with the perfect tools for locating quotations for practical use or pleasure, and you will soon enjoy discovering what others have said on topics ranging from addition to zero. This book will be a handy reference for the mathematician or scientific reader and the wider public interested in who has said what on mathematics.

Geometry Its Elements And Structure

Author : Alfred S. Posamentier
ISBN : 9780486782164
Genre : Mathematics
File Size : 22. 25 MB
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With its coverage of plane, solid, coordinate, vector, and non-Euclidean geometry, this text is suitable for high school, college, and continuing education courses as well as independent study. Each new topic is carefully developed and clarified with many examples. More than 2,000 illustrations help students visualize the problems. Every set of exercises is preceded by numerous examples with detailed solutions. Chapters include a vocabulary list, set of review exercises, chapter test, and topics for suggested research. Periodic cumulative reviews offer the opportunity for self-evaluation. Co-written by Alfred S. Posamentier, a bestselling author of high school and university textbooks and pioneer of educational standards, this volume is geared toward high school geometry classes and contains standard material for numerous state competencies. An electronic solutions manual is available upon request.

Evolutions In Sustainable Investing

Author : Cary Krosinsky
ISBN : 9781118157923
Genre : Business & Economics
File Size : 77. 47 MB
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Sustainable Investing is fast becoming an essential method of generating long-term returns, moving beyond the negative approaches to socially responsible investing that have dominated the field. This book, our second on the subject, provides over 15 case studies of leading global investors and companies demonstrating how they successfully apply sustainability aspects to their core strategies. Learn from prominent thought leaders Dan Esty and Paul Hawken among others who have contributed key chapters. Our chapter on performance shows clearly how these strategies have been working once negative approaches are parsed out by those examining fund returns. This book also examines in great depth what data exists, and what's on the horizon, to best measure & capture sustainability successfully. Regional perspectives, including 3 chapters on Asia, and focuses on Canada, Australia, Africa & India are also included, as is a look across asset classes. Sustainable Investing, when performed with a positive perspective, has been outperforming the mainstream, unlike negative approaches designed to match benchmark returns. From eco-efficiency to sustainability-driven innovation and beyond, investors of all shapes & sizes need to know how best to position themselves for the radical market shifts underway.

Methods For Euclidean Geometry

Author : Owen Byer
ISBN : 9780883857632
Genre : Mathematics
File Size : 35. 25 MB
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Methods for Euclidean Geometry explores one of the oldest and most beautiful of mathematical subjects. The book begins with a thorough presentation of classical solution methods for plane geometry problems, but its distinguishing feature is the subsequent collection of methods which have appeared since 1600. For example, the coordinate method, which is a central part of the book, has been part of mathematics for four centuries. However, it has rarely served as a tool that students consider using when faced with geometry problems. The same holds true regarding the use of trigonometry, vectors, complex numbers, and transformations. The book presents each of these as self-contained topics, providing examples of their applications to geometry problems. Both strengths and weaknesses of various methods, as well as the ranges of their effective applications, are discussed. Importance is placed on the problems and their solutions. The book contains numerous problems of varying difficulty; over a third of its contents are devoted to problem statements, hints, and complete solutions. The book can be used as a textbook for geometry courses; as a source book for geometry and other mathematics courses; for capstone, problem-solving, and enrichment courses; and for independent study courses.

Euler Through Time

Author : V. S. Varadarajan
ISBN : 0821835807
Genre : Mathematics
File Size : 89. 42 MB
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Euler is one of the greatest and most prolific mathematicians of all time. He wrote the first accessible books on calculus, created the theory of circular functions, and discovered new areas of research such as elliptic integrals, the calculus of variations, graph theory, divergent series, and so on. It took hundreds of years for his successors to develop in full the theories he began, and some of his themes are still at the center of today's mathematics. It is of great interest therefore to examine his work and its relation to current mathematics. This book attempts to do that. In number theory the discoveries he made empirically would require for their eventual understanding such sophisticated developments as the reciprocity laws and class field theory. His pioneering work on elliptic integrals is the precursor of the modern theory of abelian functions and abelian integrals. His evaluation of zeta and multizeta values is not only a fantastic and exciting story but very relevant to us, because they are at the confluence of much research in algebraic geometry and number theory today (Chapters 2 and 3 of the book). Anticipating his successors by more than a century, Euler created a theory of summation of series that do not converge in the traditional manner. Chapter 5 of the book treats the progression of ideas regarding divergent series from Euler to many parts of modern analysis and quantum physics. The last chapter contains a brief treatment of Euler products. Euler discovered the product formula over the primes for the zeta function as well as for a small number of what are now called Dirichlet $L$-functions. Here the book goes into the development of the theory of such Euler products and the role they play in number theory, thus offering the reader a glimpse of current developments (the Langlands program).

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