Syafiq Johar graduated with a BSc and an MSc in Pure Mathematics from Imperial College London before completing his DPhil at the University of Oxford, where he studied the singularity formation of the Ricci flow. During his time at Oxford, he was a stipendiary lecturer at St Edmund Hall and Christ Church, which honed his passion for teaching mathematics. After spending a year at Princeton University as a Fleet Fellow, he returned to Malaysia to take up an appointment at the National University of Malaysia.

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• Preface.- 1. Logic and Sets.- 2. Integers.- 3. Construction of the Real Numbers.- 4. The Real Numbers.- 5. Real Sequences.- 6. Some Applications of Real Sequences.- 7. Real Series.- 8. Additional Topics in Real Series.- 9. Functions and Limits.- 10. Continuity.- 11. Function Sequences and Series.- 12. Power Series.- 13. Differentiation.- 14. Some Applications of Differentiation.- 15. Riemann and Darboux Integration.- 16. The Fundamental Theorem of Calculus.- 17. Taylor and MacLaurin Series.- 18. Introduction to Measure Theory.- 19. Lebesgue Integration.- 20. Double Integrals.- Solutions to the Exercises.- Bibliography.- Index.

Syafiq Johar graduated with a BSc and an MSc in Pure Mathematics from Imperial College London before completing his DPhil at the University of Oxford, where he studied the singularity formation of the Ricci flow. During his time at Oxford, he was a stipendiary lecturer at St Edmund Hall and Christ Church, which honed his passion for teaching mathematics. After spending a year at Princeton University as a Fleet Fellow, he returned to Malaysia to take up an appointment at the National University of Malaysia.

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• Preface.- 1. Logic and Sets.- 2. Integers.- 3. Construction of the Real Numbers.- 4. The Real Numbers.- 5. Real Sequences.- 6. Some Applications of Real Sequences.- 7. Real Series.- 8. Additional Topics in Real Series.- 9. Functions and Limits.- 10. Continuity.- 11. Function Sequences and Series.- 12. Power Series.- 13. Differentiation.- 14. Some Applications of Differentiation.- 15. Riemann and Darboux Integration.- 16. The Fundamental Theorem of Calculus.- 17. Taylor and MacLaurin Series.- 18. Introduction to Measure Theory.- 19. Lebesgue Integration.- 20. Double Integrals.- Solutions to the Exercises.- Bibliography.- Index.

Syafiq Johar graduated with a BSc and an MSc in Pure Mathematics from Imperial College London before completing his DPhil at the University of Oxford, where he studied the singularity formation of the Ricci flow. During his time at Oxford, he was a stipendiary lecturer at St Edmund Hall and Christ Church, which honed his passion for teaching mathematics. After spending a year at Princeton University as a Fleet Fellow, he returned to Malaysia to take up an appointment at the National University of Malaysia.

Select Guide Rating

• Preface.- 1. Logic and Sets.- 2. Integers.- 3. Construction of the Real Numbers.- 4. The Real Numbers.- 5. Real Sequences.- 6. Some Applications of Real Sequences.- 7. Real Series.- 8. Additional Topics in Real Series.- 9. Functions and Limits.- 10. Continuity.- 11. Function Sequences and Series.- 12. Power Series.- 13. Differentiation.- 14. Some Applications of Differentiation.- 15. Riemann and Darboux Integration.- 16. The Fundamental Theorem of Calculus.- 17. Taylor and MacLaurin Series.- 18. Introduction to Measure Theory.- 19. Lebesgue Integration.- 20. Double Integrals.- Solutions to the Exercises.- Bibliography.- Index.