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Linear Algebra (Textbooks in Mathematics)

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What you hold in your hand or—this is the 21st century—view on screen shouldn’t exist.

Let me explain. Mathematics is often taught by presenting students with a broad concept, like linear independence, and then a set of tools for identifying, using, or creating it. More rigorous courses might include proofs, like the theorem that the eigenvectors for a given eigenvalue form a vector space.

Understandably, this approach leaves most students with the impression that mathematics is a collection of results and algorithms. But these are merely the products of mathematics, and are about as interesting to the mathematician as last week’s bread to the baker or last year’s canvas to the artist. The theorem has been proved, the bread baked, the portrait painted, and the important question is: What’s next?

Mathematics itself is the creation of these concepts and algorithms. In a perfect world, students would begin with a simple concept, and then develop the tools necessary to handle this concept. This is the idea behind inquiry based learning (IBL).

The value of IBL should be clear. In the modern world, if an existing method can solve a problem, then a clever programmer can code that method, and a computer can implement the method more rapidly, more accurately, and more cheaply than any human being. So what’s really important is not how to solve a problem, but how to create the solution to a problem that no one has solved. Thus, a 21st century mathematics textbook should focus on teaching students to be creative.
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Theories of Development: Concepts and Applications
Theories of Development: Concepts and Applications

The result of extensive scholarship and consultation with leading scholars, this classic text introduces students to twenty-four theorists and compares and contrasts their theories on how we develop as individuals. Emphasizing the theories that build upon the developmental tradition established by Rousseau, this text also covers theories in...

Shell Scripting Recipes: A Problem-Solution Approach
Shell Scripting Recipes: A Problem-Solution Approach

Filled with over 150 essential, practical recipes that empower Unix users to regain lost time spent creating and testing shell scripts. The majority of scripts included are POSIX-compliant

and supported by many of the major shell variants, including Bash, ksh, and sh. Each real-world example recipe follows the same problem-solution...

Javascript Unlocked
Javascript Unlocked

Improve your code maintainability, performance, and security through practical expert insights and unlock the full potential of JavaScript

About This Book

  • Improve your JavaScript code for better maintainability and performance
  • Discover how to implement scalable application architecture...

Frequency-Domain Analysis and Design of Distributed Control Systems
Frequency-Domain Analysis and Design of Distributed Control Systems

This book presents a unified frequency-domain method for the analysis of distributed control systems. The following important topics are discussed by using the proposed frequency-domain method: (1) Scalable stability criteria of networks of distributed control systems; (2) Effect of heterogeneous delays on the stability of a network of...

Data Stewardship: An Actionable Guide to Effective Data Management and Data Governance
Data Stewardship: An Actionable Guide to Effective Data Management and Data Governance

Data stewards in business and IT are the backbone of a successful data governance implementation because they do the work to make a company’s data trusted, dependable, and high quality. Data Stewardship explains everything you need to know to successfully implement the stewardship portion of data governance, including how to...

Mastering the VC Game: A Venture Capital Insider Reveals How to Get from Start-up to IPO on Your Terms
Mastering the VC Game: A Venture Capital Insider Reveals How to Get from Start-up to IPO on Your Terms

Entrepreneurs who dream of building the next Amazon, Facebook, or Google have the opportunity to take advantage of one of the most powerful economic engines the world has ever known: venture capital. To do that, you need to woo, impress, and persuade venture capitalists to back your endeavor. That task alone is a challenge. But finding and...

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