Books like Advanced mathematics by Martin Perkins

A comprehensive bridge from elementary calculus to advanced real and complex function theory, this textbook introduces the abstract reasoning characteristic of modern mathematical analysis.

A concise, two‑section textbook that bridges point‑set and algebraic topology, suitable for one‑semester courses.

A Beginners choice for learning Real Analysis.

This well-respected text gives an introduction to the modern approximation techniques andexplains how, why, and when the techniques can be expected to work. The authors focus on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. With a wealth of examples and exercises, the text demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. The applications chosen demonstrate concisely how numerical methods can be, and often must be, applied in real-life situations. In this edition, the presentation has been fine-tuned to make the book even more useful to the instructor and more interesting to the reader. Overall, students gain a theoretical understanding of, and a firm basis for future study of, numerical analysis and scientific computing.

Ben shu zhu yao fen san bu fen:di yi bu fen wei shi bian han shu lun, Di er bu fen wei chou xiang kong jian, Di san bu fen wei yi ban ce du yu ji fen lun.