University Mathematics Handbook (2015)

Introduction

This book aims to guide university students enrolled in various mathematics courses of all levels.

It will help the readers refresh their knowledge, complementing partial knowledge of certain subjects, and finding the necessary formulas to solve various problems.

It contains definitions, formulas, and theorems for most mathematical courses given at the Technion, Israel Institute of Technology, as well as other higher education institutions.

For students of all levels, the book is most useful for helping students with their home assignments and preparing for exams.

The material divides into fifteen parts, dealing with the following subjects:

·   Vectors and analytic geometry

·   Single-variable and multivariable differential and integral calculus

·   Vector analysis

·   Algebra

·   Complex functions

·   Ordinary and partial differential equations

·   Fourier series

·   Fourier and Laplace transform.

Definitions, Theorems, Rules and Formulas accompanied by examples can be found by reference to the detailed table of contents in the front of the book or to the extensive index in the back of the book.

I hope the readers find this book most useful.

I wish to thank Dr. Michael Gorodetzki for his useful comments.

I also wish to thank Ms. Roni Mor for so diligently printing and Ms. Iris Weinstock for the book's graphic design.