"Full Analysis of Mathematical Analysis Review of 628 Postgraduate Entrance Examination" carefully analyzes the real questions of relevant famous schools according to the review and test difficulty of each chapter of the textbook. In order to strengthen the understanding of knowledge points, better grasp the basic rules of the exam, and fully understand the types and difficulties of the exam.
By summarizing and sorting out the important and difficult points in the review and examination of the chapters of Mathematical Analysis (Volume 1, 4th edition, East China Normal University), Mathematical Analysis (Volume 2, 4th edition, East China Normal University) and Mathematical Analysis (classic textbook), we can concentrate the essence, so that candidates can see the contents of each chapter at a glance, thus making the review direction clear and improving the review efficiency.
There are solutions to the exercises in each chapter of the textbook, and typical questions are supplemented according to the important and difficult points in each chapter. By doing after-class exercises in each chapter, we can consolidate the knowledge points examined in each chapter and strengthen our understanding and memory.
This book is based on the bibliography:
Mathematical Analysis (4th Edition, Volume 1, East China Normal University)
Mathematical Analysis (4th Edition, Volume II, East China Normal University)
Mathematical analysis (classic textbook)
Mathematical Analysis, edited by the Department of Mathematics of East China Normal University, Higher Education Press.
The difference between mathematical analysis and advanced mathematics
1, with many concepts and proofs in mathematical analysis, is a method to study complex variable functions. The main purpose of advanced mathematics is to solve some problems encountered in engineering.
2. Advanced mathematics focuses on application, and mathematical analysis focuses on theoretical derivation.
3. Every theorem in mathematical analysis has been strictly proved, and all theorems finally come down to six equivalence principles; Advanced mathematics pays attention to application, and many theorems are directly given or simply described. There is a lot about applications in the book.
4. Mathematical analysis focuses more on the derivation process, while advanced mathematics focuses more on the application of results.
5. Mathematical analysis, as a basic course for undergraduates majoring in mathematics, is the basis of the whole analysis, and it is the benchmark to test whether a person is interested in mathematics.
With different contents, advanced mathematics mainly includes elementary calculus, theoretical basis of calculus (limit), continuation of functions (infinite series), elementary ordinary differential equations and basic spatial analytic geometry of multivariate calculus. Compared with advanced mathematics, mathematical analysis lacks differential equations and analytic geometry, which looks more "pure", but mathematical analysis is more about the theorem of real numbers, the uniform continuity of functions, parametric integrals, N-fold integrals and more detailed series discussions.
Different ideas, higher mathematics attaches importance to the application of calculus, which has a lot of engineering and economic uses; Most of the "difficulties" in the exam focus on the large amount of calculation and ingenious conception. However, as a highly theoretical subject, mathematical analysis is more about proving new theories or new problems, and most of the test questions are mainly proof questions.