Jan van de Craats's Books

The Riemann Hypothesis

By: Roland van der Veen,Jan van de Craats

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The Riemann Hypothesis

By: Roland van der Veen,Jan van de Craats

This book introduces interested readers to one of the most famous and difficult open problems in mathematics: the Riemann Hypothesis. Finding a proof will not only make you famous, but also earns you a one million dollar prize. The book originated from an online internet course at the University of Amsterdam for mathematically talented secondary school students. Its aim was to bring them into contact with challenging university level mathematics and show them why the Riemann Hypothesis is such an important problem in mathematics. After taking this course, many participants decided to study in mathematics at university.

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Page Count

157

Publisher

The Mathematical Association of America

Published Date

ISBN 10

0883856506

ISBN 13

9780883856505

Theory and Practice

A History of Two Centuries of Dutch Mathematics Education

By: Harm Jan Smid

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Theory and Practice

A History of Two Centuries of Dutch Mathematics Education

By: Harm Jan Smid

This book describes and analyses the history of Dutch mathematics education from the point of view of the changing motivations behind the teaching of mathematics over a 200 year period. During the course of the 19th century, mathematics in the Netherlands developed from a topic for practitioners into a school topic that was taught to almost all pupils of secondary education. As mathematics teaching gradually lost its practical orientation and became more and more motivated on the basis of its supposed formative value, the HBS (Hogere Burgerschool), the Dutch variant of the German Realschule, became the dominant school of thought for mathematics pedagogy. This book examines the gradual development of the field, culminating in the country-wide adoption of Realistic Mathematics Education as the new method of mathematics teaching. This book is important for anyone who is interested in the history of mathematics education. It provides an interesting perspective on the development of mathematics education in a country that, in many aspects, went its own way.

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Page Count

323

Publisher

Springer Nature

Published Date

ISBN 10

3031218736

ISBN 13

9783031218736

Optimization

Insights and Applications

By: Jan Brinkhuis,Vladimir Tikhomirov

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Optimization

Insights and Applications

By: Jan Brinkhuis,Vladimir Tikhomirov

This self-contained textbook is an informal introduction to optimization through the use of numerous illustrations and applications. The focus is on analytically solving optimization problems with a finite number of continuous variables. In addition, the authors provide introductions to classical and modern numerical methods of optimization and to dynamic optimization. The book's overarching point is that most problems may be solved by the direct application of the theorems of Fermat, Lagrange, and Weierstrass. The authors show how the intuition for each of the theoretical results can be supported by simple geometric figures. They include numerous applications through the use of varied classical and practical problems. Even experts may find some of these applications truly surprising. A basic mathematical knowledge is sufficient to understand the topics covered in this book. More advanced readers, even experts, will be surprised to see how all main results can be grounded on the Fermat-Lagrange theorem. The book can be used for courses on continuous optimization, from introductory to advanced, for any field for which optimization is relevant.

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Page Count

683

Publisher

Princeton University Press

Published Date

ISBN 10

1400829364

ISBN 13

9781400829361

Convex Analysis for Optimization

A Unified Approach

By: Jan Brinkhuis

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Convex Analysis for Optimization

A Unified Approach

By: Jan Brinkhuis

This textbook offers graduate students a concise introduction to the classic notions of convex optimization. Written in a highly accessible style and including numerous examples and illustrations, it presents everything readers need to know about convexity and convex optimization. The book introduces a systematic three-step method for doing everything, which can be summarized as "conify, work, deconify". It starts with the concept of convex sets, their primal description, constructions, topological properties and dual description, and then moves on to convex functions and the fundamental principles of convex optimization and their use in the complete analysis of convex optimization problems by means of a systematic four-step method. Lastly, it includes chapters on alternative formulations of optimality conditions and on illustrations of their use. "The author deals with the delicate subjects in a precise yet light-minded spirit... For experts in the field, this book not only offers a unifying view, but also opens a door to new discoveries in convexity and optimization...perfectly suited for classroom teaching." Shuzhong Zhang, Professor of Industrial and Systems Engineering, University of Minnesota

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Page Count

278

Publisher

Springer Nature

Published Date

ISBN 10

3030418049

ISBN 13

9783030418045

Book's by Jan van de Craats

The Riemann Hypothesis

The Riemann Hypothesis

Theory and Practice

Theory and Practice

Optimization

Optimization

Convex Analysis for Optimization

Convex Analysis for Optimization

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