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Author: Charles H. Gleason
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 288
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Book Description
Author: Charles H. Gleason
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 288
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Book Description
Author: Gilbert Strang
Publisher: Wellesley-Cambridge Press
ISBN: 9781733146630
Category : Mathematics
Languages : en
Pages : 368
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Book Description
Linear algebra has become the subject to know for people in quantitative disciplines of all kinds. No longer the exclusive domain of mathematicians and engineers, it is now used everywhere there is data and everybody who works with data needs to know more. This new book from Professor Gilbert Strang, author of the acclaimed Introduction to Linear Algebra, now in its fifth edition, makes linear algebra accessible to everybody, not just those with a strong background in mathematics. It takes a more active start, beginning by finding independent columns of small matrices, leading to the key concepts of linear combinations and rank and column space. From there it passes on to the classical topics of solving linear equations, orthogonality, linear transformations and subspaces, all clearly explained with many examples and exercises. The last major topics are eigenvalues and the important singular value decomposition, illustrated with applications to differential equations and image compression. A final optional chapter explores the ideas behind deep learning.
Author: Sanjoy Mahajan
Publisher: MIT Press
ISBN: 0262265591
Category : Education
Languages : en
Pages : 152
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Book Description
An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
Author: Maryann Wickett
Publisher: Math Solutions
ISBN: 0941355314
Category : Education
Languages : en
Pages : 224
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Book Description
Lessons, games and activities to increase children's multiplication skills.
Author: Charles H. Gleason
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 536
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Book Description
Author: Marilyn Burns
Publisher: Math Solutions
ISBN: 0941355195
Category : Education
Languages : en
Pages : 176
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Book Description
Humorously Uncovers the Reasons Behind Math's Dreadful Reputation and Shows us How we Can Help Prevent Our Own Children From Adopting Similar Phobic Attitudes
Author: Daniel Gilbert
Publisher: Vintage Canada
ISBN: 0307371360
Category : Psychology
Languages : en
Pages : 336
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Book Description
A smart and funny book by a prominent Harvard psychologist, which uses groundbreaking research and (often hilarious) anecdotes to show us why we’re so lousy at predicting what will make us happy – and what we can do about it. Most of us spend our lives steering ourselves toward the best of all possible futures, only to find that tomorrow rarely turns out as we had expected. Why? As Harvard psychologist Daniel Gilbert explains, when people try to imagine what the future will hold, they make some basic and consistent mistakes. Just as memory plays tricks on us when we try to look backward in time, so does imagination play tricks when we try to look forward. Using cutting-edge research, much of it original, Gilbert shakes, cajoles, persuades, tricks and jokes us into accepting the fact that happiness is not really what or where we thought it was. Among the unexpected questions he poses: Why are conjoined twins no less happy than the general population? When you go out to eat, is it better to order your favourite dish every time, or to try something new? If Ingrid Bergman hadn’t gotten on the plane at the end of Casablanca, would she and Bogey have been better off? Smart, witty, accessible and laugh-out-loud funny, Stumbling on Happiness brilliantly describes all that science has to tell us about the uniquely human ability to envision the future, and how likely we are to enjoy it when we get there.
Author: James Charles Byrnes
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 552
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Book Description
Author: Elias Hershey Sneath
Publisher:
ISBN:
Category : Readers
Languages : en
Pages : 314
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Book Description
"This series ... introduces the pupil ... to the subject matter of morals, by means of fairy tale, myth, fable, allegory, parable, legend, stories of real life, of heroes and heroines, biography, and historical incident."--Preface.
Author: Avi Wigderson
Publisher: Princeton University Press
ISBN: 0691189137
Category : Computers
Languages : en
Pages : 434
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Book Description
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
