Basic Mathematics

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Reading Spivak ought to clear up most of the concerns you may have about rigor in high school mathematics (in the sense of logical precision), but I will add a few more comments about this. Lang, Serge (1987). Linear algebra. Undergraduate Texts in Mathematics (Third edition of 1966 originaled.). New York: Springer-Verlag. doi: 10.1007/978-1-4757-1949-9. ISBN 0-387-96412-6. MR 0874113. Lang, Serge (1983). Abelian varieties (Reprint of 1959 originaled.). New York–Berlin: Springer-Verlag. doi: 10.1007/978-1-4419-8534-7. ISBN 0-387-90875-7. MR 0713430.

Basic Mathematics by Serge Lang | Goodreads Basic Mathematics by Serge Lang | Goodreads

Johnson, George; Laura Mansnerus (May 3, 1987). "Science Academy Rejects Harvard Political Scientist". New York Times . Retrieved August 13, 2010. Lang spent much of his professional time engaged in political activism. He was a staunch socialist and active in opposition to the Vietnam War, volunteering for the 1966 anti-war campaign of Robert Scheer (the subject of his book The Scheer Campaign). [ citation needed] Lang later quit his position at Columbia in 1971 in protest over the university's treatment of anti-war protesters.

The basic topics covered doesn't necessarily mean that the book will be easy; this was my first introduction to proofs, and to trying to create my own (which I often failed at doing). However, even if I knew most of the material already (like that a negative number multiplied by a negative number results in a positive number), I had never known the reasoning behind why this was true. The logical approach presented taught me a different, more effective way to learn mathematics. Lang even has an entire section (somewhere after chapter 3, I think) where he simply covers logic and some notation, to help the reader get a better grasp of the idea. Roquette, Peter (1976). "Review: Elliptic functions, by Serge Lang" (PDF). Bull. Amer. Math. Soc. 82 (4): 523–526. doi: 10.1090/s0002-9904-1976-14082-7. Questions of Scientific Responsibility: The Baltimore Case From the journal Ethics and Behavior Vol. 3 No. 1 (1993) pp. 3–72, Serge Lang, Mathematics Department, Yale University

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With all of this being said, if you're eager to start with Spivak, there's no problem in just starting and seeing how successful you are on the exercises in the first few chapters. Serge Lang ( French: [lɑ̃ɡ]; May 19, 1927 – September 12, 2005) was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He received the Frank Nelson Cole Prize in 1960 and was a member of the Bourbaki group. urn:oclc:record:1357510392 Foldoutcount 0 Identifier basicmathematics0000lang Identifier-ark ark:/13960/s28bdx3fm2s Invoice 1652 Isbn 0387967877 Lccn 88012334 Ocr tesseract 5.2.0-1-gc42a Ocr_detected_lang en Ocr_detected_lang_conf 1.0000 Ocr_detected_script Latin Ocr_detected_script_conf 0.9433 Ocr_module_version 0.0.18 Ocr_parameters -l eng Old_pallet IA-WL-1300189 Openlibrary_editionI went through most of this book due to MicroMass's recommendation a little while ago, and really enjoyed my first introduction to real mathematics, and not the garbage I was/am being taught in middle/high school. Lang, Serge; Cherry, William (1990). Topics in Nevanlinna Theory. Lecture Notes in Mathematics. Vol.1433. With an appendix by Zhuan Ye. Berlin: Springer-Verlag. doi: 10.1007/BFb0093846. ISBN 3-540-52785-0. MR 1069755. Lang, Serge (2000). Collected papers. II. 1971–1977. Springer Collected Works in Mathematics. New York: Springer. ISBN 0-387-98803-3. MR 1770235.