附註:Includes bibliographical references (pages 389-395) and indexes.
Cover -- Preface -- Table of Contents -- Acknowledgment -- The Problem -- 1. Special Cases -- 2. 4 Interludes -- 3. Algebraic Restrictions on Hypothetical Solutions -- 4. Germain's Theorem -- 5. Interludes 5 and 6 -- 6. Arithmetic Restrictions on Hypothetical Solutions and on the Exponent -- 7. Interludes 7 and 8 -- 8. Reformulations, Consequences, and Criteria -- 9. Interludes 9 and 10 -- 10. The Local and Modular Fermat Problem -- 11. Epilogue -- Appendix A -- References to Wrong Proofs -- Appendix B -- General Bibliography -- Name Index.
摘要:This book is intended for amateurs, students and teachers. The author presents partial results which could be obtained with exclusively elementary methods. The proofs are given in detail, with minimal prerequisites. An original feature are the ten interludes, devoted to important topics of elementary number theory, thus making the reading of this book self-contained. Their interest goes beyond Fermat's theorem. The Epilogue is a serious attempt to render accessible the strategy of the recent proof of Fermat's last theorem, a great mathematical feat.
