# Top Ten Advanced Math Books

Teachers, students and independent learners of mathematics who are seeking the best advanced math books will love this top ten list. The list includes elements of engineering, data analysis, geometry theories, and algebra for advanced, high-level math students. If you’re wanting to expand your mathematical resume, look for resources to help teach the appropriate theories.

These textbooks work for academic studies and personal growth in math education. The textbooks are designed to be used by teachers and can be easily used for those choosing to self-teach themselves. When looking for the best advanced math books; seek out those that are referred by professionals in the field.

**Schaums Outline of Advanced Mathematics for Engineers and Scientists**

This book provides a condensed version of mathematical applications for easy and practical solutions for learning and teaching. The techniques in this advanced math textbook are geared toward engineering and scientific use in problem solving and developing applicable theories. This is perfect for both student and teachers and includes a series of progressive instruction in other math functions.

**Advanced Mathematics Precalculus with Discrete Mathematics for Data Analysis**

The foundation of this book is based in showing how trigonometry and other math principles are applied to situations that are true to life. The concepts focus on calculating data for functional analysis based on advanced equations, logic and problem solving. This is a great book for those looking to learn how to implement studies and apply statistics to figure accurate data.

**Introduction to Higher Mathematics: Structure and Proof**

Successful completion of lower-level math like calculus is required to make this book more effective in the learning process. This advanced level mathematics book covers critical theories involving equations of math. It walks students through applying appropriate structure to problem solving for establishing proof. This is also perfect for the advanced math student who is looking to learn is an easy to follow book that requires little instruction.

**Introduction to Graph Theory**

This textbook is a leader in the field of math study because of its focus on using proof techniques that can be understood in practical ways. The principles bring in theories involving applications to real world. This book is perfect for introducing statistics using graphs and explains the visual process in determining effective graphs.

**Special Functions: A Graduate Text**

The authors of this book present information that are standards in all aspects of math including orthogonal polynomials and elliptic functions that elevate the degree of learning. The authors have developed this book to include all aspects of mathematics and is elevated for a more educated mathematician. It is a common textbook used in undergraduate studies of math.

**Hodge Theory and Complex Algebraic Geometry II: Volume 2**

In addition to teaching the principles associated with theories and the complexities of algebra in the form of geometry; there are also exercises included to sharpen math skills. The exercises enhance the learning of individuals by using situations to help visualize the teachings. This is a great tool for students seeking higher levels of mathematical learning.

**Advanced Engineering Mathematics with MATLAB**

This book incorporates technology into the practical uses of math and engineering. The emphasis is on computing and problem solving with reinforcing basic concepts of engineering. With the evolution of technology, this book applies engineering principles to effectively teach developing concepts and ideas that apply to real-life applications.

**A Transition to Advanced Mathematics: A Survey Course**

The book is designed to teach students how to use lower-level calculus in conjunction with proving theories in upper-level math. It is an accumulation of all practical math and works to support the transition for learning math in steps.

**Elements of Advanced Mathematics, Third Edition**

This is one of the best mathematics books for practice elements assoicated with theories of math. Topics focus on absract algebra, topology and real-life analysis of concepts and theories relating to mathematical equations and problem solving. The text implements practical examples of how math is used in day to day life.