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Basic Mathematics by Serge Lang: A Review

Basic Mathematics is a book by Serge Lang, a French-American mathematician and activist who taught at Yale University for most of his career[^3^]. The book was published by Springer in 1988 and covers topics such as algebra, geometry, trigonometry, logarithms, complex numbers, and calculus[^2^]. The book is intended for students who want to review or learn the essential concepts of mathematics before taking more advanced courses.

The book is written in a clear and concise style, with many examples and exercises. The book also includes historical notes and biographies of some famous mathematicians. The book assumes some familiarity with arithmetic and basic algebra, but does not require any prior knowledge of geometry or calculus. The book is suitable for self-study or as a supplement to a standard textbook.

One of the advantages of the book is that it presents mathematics as a coherent and logical system, rather than a collection of isolated facts and formulas. The book also emphasizes the connections between different branches of mathematics and shows how they can be applied to various problems. The book also encourages the reader to think critically and creatively about mathematics and to appreciate its beauty and elegance.

One of the drawbacks of the book is that it may be too concise for some readers who need more explanations or examples. The book also does not cover some topics that may be important for some applications, such as probability, statistics, matrices, or discrete mathematics. The book also does not include any solutions to the exercises, which may be frustrating for some readers who want to check their answers or learn from their mistakes.

Overall, Basic Mathematics by Serge Lang is a valuable resource for anyone who wants to review or learn the fundamental concepts of mathematics. The book is well-written, rigorous, and comprehensive. The book can help the reader to prepare for more advanced courses in mathematics or related fields, or to simply enjoy the beauty and logic of mathematics.If you are interested in reading Basic Mathematics by Serge Lang, you can download a digital version of the book from the Internet Archive. The book is available in several formats, including DJVU, which is a compressed file format for scanned documents. You can use a DJVU viewer to open and read the book on your computer or mobile device.

Alternatively, you can also buy a physical copy of the book from Springer or other online retailers. The book is relatively affordable and has a paperback edition. You can also check if your local library has a copy of the book that you can borrow or request.

Whether you choose to read the book online or offline, you will find that Basic Mathematics by Serge Lang is a useful and enjoyable book that will help you to improve your mathematical skills and knowledge.Basic Mathematics by Serge Lang is not the only book that you can use to learn or review mathematics. There are many other books that cover similar topics or offer different perspectives or approaches. Some of these books are:

A First Course in Mathematics by Robert A. Beezer. This book covers topics such as sets, logic, functions, relations, number systems, algebra, geometry, and calculus. The book is available for free online and has interactive features and exercises.

Mathematics: Its Content, Methods and Meaning by A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent'ev. This book is a classic work of mathematics that provides a comprehensive overview of the main branches and concepts of mathematics. The book is written by three eminent Soviet mathematicians and has been translated into English.

Mathematics for the Nonmathematician by Morris Kline. This book is a popular introduction to mathematics that explains the historical and cultural aspects of mathematics as well as the mathematical ideas and methods. The book covers topics such as arithmetic, algebra, geometry, trigonometry, calculus, logic, and infinity.

These are just some examples of the many books that you can use to learn or review mathematics. You can also find online courses, videos, podcasts, blogs, and other resources that can help you to improve your mathematical skills and knowledge. The important thing is to find the resources that suit your needs and interests and to enjoy the process of learning mathematics. aa16f39245