Part A. Introductory overview.- 1. Introduction.- 2. Preview: Some Statements in English and the Language of Mathematics.- Part B. Mathematics and its language.- 3. Elements of the Language of Mathematics.- 4. Important Structures and Concepts in the Language of Mathematics.- 5. Solving Problems Mathematically.- Part C. English, the Language of Mathematics and translating between them.- 6. Linguistic Characteristics of English and the Language of Mathematics.- 7. Translating English to Mathematics.- 8. Examples of Translating English to Mathematics.- Part D. Conclusion.- 9. Summary.- Appendices.- Appendix A. Representing numbers.- Appendix B. Symbols on the Language of Mathematics.- Appendix C. Sets of numbers.- Appendix D. Special structures in mathematics.- Appendix E. Mathematical logic.- Appendix F. Waves and the wave equation.- Appendix G. Glossary: English to the Language of Mathematics.- Appendix H. Programming languages and the Language of Mathematics.- Appendix I. Other literature.- Index