Titu Andreescu : University of Texas at Dallas, Richardson, Texas
Alessandro Ventullo : University of Milan, Italy

119 Trigonometry Problems for Mathematics Competitions

Softcover ISBN: 978-1-7358315-9-6
XYZ Series Volume: 48;
2023; 199 pp
MSC: Primary 00; 97;

Book Details

In the mathematical problem-solving literature, there are few works that focus on trigonometry and explore its vast applications. This book responds to the need of those who would like to expand their knowledge of trigonometry, to develop a solid understanding in trigonometry, and gain the necessary skills to solve trigonometry problems. The book presents complex trigonometric concepts in a simplified manner, making it suitable for both beginners and experienced problem solvers. It contains many examples and problems taken from various competitions and journals, helping readers to appreciate the relevance of trigonometry in today's mathematical contests. The book covers both the geometric and the algebraic aspects of trigonometry, providing a thorough understanding of basic trigonometric principles, identities, equations, and problem-solving techniques.

Readership

This book is best suited for students training for mathematical Olympiads, those who want to improve their skills in trigonometry and its related areas, and teachers and coaches who train students for competitions or organize mathematical circles.

Edited by: Hemen Dutta : Gauhati University, Guwahati, India

Mathematical Modelling: Principle and Theory

Softcover ISBN: 978-1-4704-6964-1
Contemporary Mathematics Volume: 786;
2023; 244 pp
MSC: Primary 78; 74; 26; 35; 76; 65;

Book Details

This volume is a collection of chapters that present several key principles and theories, as well as their potential uses in the development of mathematical models in areas like waves, thermodynamic, electromagnetics, fluid dynamics, and catastrophes. The techniques and methodologies used in this book, on the other hand, should have a long-term impact and be applicable to a wide range of different topics of study and research. Each chapter should also help readers in gaining a better knowledge of the underlying and connected concepts.

The companion volume (Contemporary Mathematics, Volume 787) is devoted to theory and application.

Readership

Graduate students and research mathematicians interested in applied mathematics and mathematical modelling.

Table of Contents

D. N. Ghosh Roy and S. Mudaliar - Evanescence and Evanescent Waves
Jordan Hristov - Constitutive fractional modeling
Gaetano Siciliano - Normalized solutions for Schrodinger type equations under Neumann boundary conditions
Stanis?aw Migorski and Sylwia Dudek - Well-Posedness of Steady-State Bingham Type System by a Quasi Variational-Hemivariational Approach
Vasilii A. Gromov - Catastrophes of Cylindrical Shell


Edited by: Hemen Dutta : Gauhati University, Guwahati, India

Mathematical Modelling: Theory and Application

Softcover ISBN: 978-1-4704-6965-8
Expected availability date: July 11, 2023
Contemporary Mathematics Volume: 787
MSC: Primary 34; 37; 92; 35; 55;

Book Details

This volume is a collection of chapters that present key ideas and theories, as well as their rigorous applications, required for the development of mathematical models in areas such as travelling waves, epidemiology, the chemotaxis system, atrial fibrillation, and vortex nerve complexes. The techniques, methodologies and approaches adopted in this book have relevance in several other fields including physics, biology, and sociology. Each chapter should also assist readers in comfortably comprehending the related and underlying ideas.

The companion volume (Contemporary Mathematics, Volume 786) is devoted to principle and theory.

Readership

Graduate students and research mathematicians interested in applied mathematics and mathematical modelling.

M. Ram Murty : Queenfs University, Kingston, Ontario, Canada
Kaneenika Sinha : Indian Institute of Science Education and Research, Pune, Maharashtra, India

An Introduction to the Circle Method

Softcover ISBN: 978-1-4704-7203-0
Expected availability date: August 14, 2023
Student Mathematical Library Volume: 104;
2023; 257 pp
MSC: Primary 11;

Book Details

The circle method, pioneered by Ramanujan and Hardy in the early 20th century, has over the past 100 years become part of the standard tool chest of analytic number theory. Its scope of applications is ever-expanding, and the subject continues to see important breakthroughs.

This book provides an introduction to the circle method that is accessible to undergraduate students with no background in number theory. The authors' goal is to show the students the elegance of the circle method and at the same time give a complete solution of the famous Waring problem as an illustration of the method.

The first half of this book is a curated introduction to elementary number theory with an emphasis on topics needed for the second half. The second half showcases the two most gclassich applications of the circle method, to Waring's problem (following Hardy?Littlewood?Hua) and to Goldbach's conjectures (following Vinogradov, with improvements by Vaughan).

This text is suitable for a one-semester undergraduate course or for independent study and will be a great entry point into this fascinating area of research.

Readership

Undergraduate and graduate students and researchers interested in the circle method, the Hardy-Littlewood method, Waring's problem, and Goldbach conjectures.

Table of Contents