具体描述
Thomas’ Calculus, Thirteenth Edition, introduces readers to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets. With this new edition, the exercises were refined, updated, and expanded–always with the goal of developing technical competence while furthering readers’ appreciation of the subject. Co-authors Hass and Weir have made it their passion to improve the text in keeping with the shifts in both the preparation and ambitions of today's learners.
作者简介
Joel Hass received his PhD from the University of California—Berkeley. He is currently a professor of mathematics at the University of California—Davis. He has coauthored six widely used calculus texts as well as two calculus study guides. He is currently on the editorial board of Geometriae Dedicata and Media-Enhanced Mathematics. He has been a member of the Institute for Advanced Study at Princeton University and of the Mathematical Sciences Research Institute, and he was a Sloan Research Fellow. Hass’s current areas of research include the geometry of proteins, three dimensional manifolds, applied math, and computational complexity. In his free time, Hass enjoys kayaking.
Maurice D. Weir holds a DA and MS from Carnegie-Mellon University and received his BS at Whitman College. He is a Professor Emeritus of the Department of Applied Mathematics at the Naval Postgraduate School in Monterey, California. Weir enjoys teaching Mathematical Modeling and Differential Equations. His current areas of research include modeling and simulation as well as mathematics education. Weir has been awarded the Outstanding Civilian Service Medal, the Superior Civilian Service Award, and the Schieffelin Award for Excellence in Teaching. He has coauthored eight books, including the University Calculus series and the twelfth edition of Thomas’ Calculus.
George B. Thomas, Jr. (late) of the Massachusetts Institute of Technology, was a professor of mathematics for thirty-eight years; he served as the executive officer of the department for ten years and as graduate registration officer for five years. Thomas held a spot on the board of governors of the Mathematical Association of America and on the executive committee of the mathematics division of the American Society for Engineering Education. His book, Calculus and Analytic Geometry, was first published in 1951 and has since gone through multiple revisions. The text is now in its twelfth edition and continues to guide students through their calculus courses. He also co-authored monographs on mathematics, including the text Probability and Statistics.
目录信息
2. Limits and Continuity
3. Derivatives
4. Applications of Derivatives
5. Integrals
6. Applications of Definite Integrals
7. Transcendental Functions
8. Techniques of Integration
9. First-Order Differential Equations
10. Infinite Sequences and Series
11. Parametric Equations and Polar Coordinates
12. Vectors and the Geometry of Space
13. Vector-Valued Functions and Motion in Space
14. Partial Derivatives
15. Multiple Integrals
16. Integrals and Vector Fields
· · · · · · (收起)
读后感
大家好啊，有谁通读了这本书么，我马上要考研了，据说这本书写的比同济的好懂，能用这个当做考研的辅助材料看么，会不会影响到考研？我是在是没时间，有谁看过的给个评价吧，不胜感谢啊~~~~ 大家好啊，有谁通读了这本书么，我马上要考研了，据说这本书写的比同济的好懂，能用这...
好书，很讲究数形结合，初学者好理解。 还有空间向量，好像国内讲的不多。尤其是当时高中看到证明开普勒三定律，震惊了。 前面偏简单，后面越来越难，最后的向量场至今还是不太理解。 有些东西讲法和国内很不同，比如极限的引入，国内都是先讲数列，它是直接上函数。另外对数那...
太邪恶了太邪恶了。。。竟然这个都有。。应该放在经典里。。。真是calculus 的圣经阿。。。那么贵买的我都没舍得卖。。。>>太邪恶了！！！
解释了心中长期的疑惑，书中图像比较多，数形结合容易理解，对定理的推导也比同济那本书多了不少，习题不能算太难，基本上和老师上课PPT的内容吻合，很厚的一本书，当时在图书馆借的时候，觉得是老外数学基础太差，学这么厚的一本书，后来仔细阅读后，解决了心中不少疑惑，定义...
拉格朗日，傅立叶旁，我凝视你凹函数般的脸庞。微分了忧伤，积分了希望，我要和你追逐黎曼最初的梦想。感情已发散，收敛难挡，没有你的极限，柯西抓狂，我的心已成自变量，函数因你波起波荡。低阶的有限阶的，一致的不一致的，是我想你的皮亚诺余项。狄利克雷，勒贝格杨，一同...
用户评价
我对比过好几本不同的微积分教材，深感这本书在习题集方面的设计是无与伦比的。习题的分类极其精细，从最基础的“热身练习”到需要跨章节整合知识的“综合应用题”，再到那些能让人抓耳挠腮的“探索性思考题”，种类之丰富，令人称奇。更妙的是，书中对部分关键例题提供了详尽的解题步骤和多种解法探讨，这对于自学者来说简直是福音，它教会了我不仅仅是“怎么做”，更是“为什么这么做会更优”。许多时候，一套完整的学习流程下来，需要的配套资源（如辅导书、习题解析）这本书基本都能涵盖，大大节省了东拼西凑的时间和精力，形成了一个完整的学习生态系统。
从装帧质量上来说，这本书绝对是教科书中的“艺术品”级别。封面设计简约而不失力量感，内页纸张选材上乘，即便是长期频繁翻阅，也不会出现墨水洇开或者纸张卷曲的现象，这对于经常需要在大本子上做笔记的我来说至关重要。耐用性是检验一本好教材的试金石，相信这本书能陪伴我度过接下来的好几个学期，甚至未来作为参考书深藏于我的书柜中。它的厚度和重量本身就赋予了一种“可靠性”的心理暗示，让你在面对那些复杂的高级微积分概念时，心中多了一份沉甸甸的底气。这种对实体制作的极致追求，恰恰体现了出版方对知识载体的尊重，让人在使用过程中心生敬意。
这本教材的语言风格颇具英伦学府的古典韵味，既保持了学术的精确性，又避免了过于枯燥的学院腔调。阅读起来，仿佛在与一位经验丰富、学识渊博的导师进行深入的对话。它不像某些现代教材那样过度依赖技术和简写，而是坚持用清晰、完整的句子来构建数学论证的每一步。对于那些习惯了碎片化学习的读者来说，这可能需要一个适应过程，因为它要求你必须全神贯注，不能容忍丝毫的分心。不过，一旦你沉浸进去，你会发现这种“慢阅读”的方式反而让你对知识的掌握更加牢固。我发现自己不再仅仅是为了应付考试而学习，而是真正开始享受推导和证明的乐趣，这对于我个人学术兴趣的激发起到了决定性的作用。
老实说，一开始我对这本“大部头”感到有些畏惧，但随着学习的深入，我发现它的知识覆盖面广得令人惊叹，简直就是一本微积分领域的“百科全书”。从基础的一元微积分到后半部分的向量分析和微分方程的初步探索，内容衔接得天衣无缝，丝毫没有生硬的跳跃感。最让我印象深刻的是它对实际应用的强调，那些看似纯理论的积分技巧，在工程、物理甚至经济学案例中被巧妙地应用，这让我立刻明白了“我为什么要学这个”的终极答案。作者在章节末尾设置的“挑战性问题”难度梯度设置得非常科学，从基础巩固到激发创造性思维，循序渐进，让我每次攻克一个难题后都充满了成就感。这本书的价值远超其标价，它培养的不仅仅是解题能力，更是一种系统性的数学思维方式，是真正意义上的思维体操。
这本书的排版实在是太吸引人了，每一个公式推导都清晰明了，仿佛作者就在我身边手把手地教我。那些复杂的概念，比如多元函数的极值问题，在书中得到了极富洞察力的阐释。作者似乎深谙初学者的困惑点，总能在最关键的地方给出恰到好处的几何直观解释，这比单纯的代数运算要高效得多。我尤其欣赏它对定理证明的严谨性，既不过分艰涩，又能确保数学逻辑的完整性，这一点对于想要打下扎实基础的人来说至关重要。翻开书页，那种油墨的触感和纸张的厚度都让人感到安心，它不是那种廉价的、快速翻阅的教材，而是值得放在书架上时常翻阅的工具书。细节决定成败，书中大量的插图和图表不仅仅是装饰，它们是理解空间想象力的关键钥匙，很多抽象的微积分概念，通过这些可视化手段瞬间变得立体起来，极大地降低了学习曲线的陡峭程度。
